The correct solution for the given equation is x = 17.
What is distributive property?The distributive property is a mathematical property that relates multiplication and addition or subtraction. It states that multiplying a number by a sum (or difference) is equivalent to multiplying the number by each term of the sum (or difference) and then adding (or subtracting) the results.
According to question:Joe's error is due to not using the order of operations correctly. In step 2, he did not use parentheses to isolate the x term before dividing by 2. Instead, he divided both 3 and x by 2, resulting in x/2 = 7.
To fix Joe's mistake, we need to apply the distributive property by adding parentheses around the numerator of the left-hand side of the equation, like this:
(3 + x)/2 = 10
Then we can multiply both sides by 2 to eliminate the fraction:
3 + x = 20
Finally, we can solve for x by subtracting 3 from both sides:
x = 17
Therefore, the correct solution is x = 17.
To know more about distributive property visit:
https://brainly.com/question/5637942
#SPJ1
Two functions are shown below.
Function 1: Jay rides the subway each workday for a month. He spends $5.50 each day that he rides the subway.
Function 2: Keisha has a bike share membership. She rides an e-bike to work. The equation E = 8.25 + 1.50d represents Keisha's bike expenses each month, where
d represents the number of days she rides.
Which function has the greatest rate of change?
A. Function 1
B. Function 2
C. The functions have the same rate of change.
D. The rate of change cannot be determined for either function.
Comparing the rates of change, we can see that Function 2 has a greater rate of change than Function 1. Therefore, the answer is (B) Function 2.
What is the rate of change?
The rate of change is the amount of change in the output (dependent variable) for a given change in the input (independent variable).
In this case, the input is the number of days ridden, and the output is the cost of transportation for a month.
For Function 1, the cost is $5.50 per day. Therefore, the rate of change is $5.50 per day.
For Function 2, the equation E = 8.25 + 1.50d represents the cost of transportation for a month, where d is the number of days ridden. The rate of change is the coefficient of d, which is $1.50 per day.
Hence, Comparing the rates of change, we can see that Function 2 has a greater rate of change than Function 1. Therefore, the answer is (B) Function 2.
To know more about the rate of change visit:
https://brainly.com/question/119866
#SPJ1
Question 5
A recent conference had 900 people in attendance. In one exhibit room of 80 people, there were 65 teachers and 15 principals. What prediction can you make about the number of principals in attendance at the conference?
There were about 820 principals in attendance.
There were about 731 principals in attendance.
There were about 208 principals in attendance.
There were about 169 principals in attendance.
Question 6
A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.
Which graphical representation would be best for his data?
Stem-and-leaf plot
Histogram
Circle graph
Box plot
Question 7
A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44
Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
Question 8
A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.
Type of Transportation Number of Visitors
Walk 120
Bicycle 24
Car Service 45
Bus 30
Subway 81
Which of the following circle graphs correctly represents the data in the table?
circle graph titled New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent
circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 40 percent, bus 8 percent, car service 15 percent, bicycle 10 percent, and walk 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 80 percent, bicycle 20 percent, car service 30 percent, bus 16 percent, and walk 54 percent
Question 9
A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
81 9 72 36 27
Which statement is the best prediction about the scoops of ice cream the college will need?
The college will have about 480 students who prefer ice cream.
The college will have about 640 students who prefer ice cream.
The college will have about 1,280 students who prefer ice cream.
The college will have about 1,440 students who prefer ice cream.
Question 10
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
Answer:
B
B
A
B
D
C
Step-by-step explanation:
5. B
65 = teachers
15 = principal
65/80 = 81.25
If there's is a total of 900 people, find 81.25 (number of teachers)
=731.25
=731
6. B
The best graphical representation for the teacher's data would be a histogram. A histogram is a graph that displays the distribution of continuous data, such as the number of students who prefer a particular subject. It shows the frequency of each interval, or bin, of values.
A stem-and-leaf plot is typically used for small datasets and displays each data point. A circle graph, also known as a pie chart, is used to show how different parts make up a whole and is not appropriate for showing the distribution of preferences among the students. A box plot, also known as a box-and-whisker plot, is used to display the distribution of data, but it may not be as useful for showing the specific frequencies of each preference as a histogram would be.
7) A
There's an image for it I attached
8) B
The correct circle graph that represents the data in the table is option B) circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent.
In the given table, the number of visitors for each type of transportation is given. To create a circle graph, we need to convert the given numbers to percentages. Then, we can use these percentages to determine the angle of each section in the circle graph.
Using the given numbers, we can calculate the percentage of visitors for each transportation type as follows:
Walk: (120/300) x 100 = 40%
Bicycle: (24/300) x 100 = 8%
Car Service: (45/300) x 100 = 15%
Bus: (30/300) x 100 = 10%
Subway: (81/300) x 100 = 27%
Option B) correctly represents these percentages in a circle graph.
9) D
The best prediction about the scoops of ice cream the college will need is option D) The college will have about 1,440 students who prefer ice cream.
To make this prediction, we need to use the information given in the table and assume that the entire student body has the same preferences as the sample of 225 students.
According to the table, 81 out of 225 students prefer ice cream.
To estimate the number of students who prefer ice cream in the entire student body of 4,000 students, we can use proportions.
81/225 = x/4000
Multiplying both sides by 4000, we get:x = 81/225 x 4000 = 1,440
Therefore, the college will have about 1,440 students who prefer ice cream, and they will need to prepare that many scoops.
10) C
The drive-thru that typically has more wait time is option C) Super Fast Food, because it has a larger median.
The median is the middle value when a set of data is arranged in order. In this case, the median wait time for Super Fast Food is 12 minutes, and the median wait time for Burger Quick is 15.5 minutes.
This means that half of the customers at Super Fast Food waited less than 12 minutes, while half of the customers at Burger Quick waited less than 15.5 minutes.
Therefore, the wait time at Super Fast Food is typically shorter than at Burger Quick.
The mean, on the other hand, is influenced by outliers or extreme values, and it is not as robust a measure of central tendency as the median. Therefore, we cannot determine which drive-thru typically has more wait time based on the mean alone.
5 × (10 + 7) = (5 × 10) + (5 ×7)
Answer:
Same equation just using the assocaitive property
Step-by-step explanation:
For example, 8 + (2 + 3) = (8 + 2) + 3 = 13
Hope this helps! =D
what is the purpose of the random assignment of treatments to subjects in an experiment? (select all that apply)
The correct choice is To control voluntary response bias.
Random assignment helps to control voluntary response bias by icing that individualities are assigned to the treatment and control groups fully arbitrarily, without any input or influence from the individualities themselves.
Voluntary response bias occurs when individuals tone-elect into a particular group, frequently because they have a particular interest or opinion on the content being studied. This can lead to prejudiced results because the individuals who choose to share may not be representative of the larger population.
Random assignment helps to control for voluntary response bias by icing that individualities are assigned to the treatment and control groups fully at arbitrarily, without any input or influence from the individualities themselves. This helps to insure that the groups are representative of the larger population and that any observed differences between the groups are due to the treatment itself, rather than other factors that may be associated with certain individualities or groups.
thus, arbitrary assignment helps to minimize the implicit impact of voluntary response bias on the results of a trial.
Learn more about response bias;
https://brainly.com/question/14493813
#SPJ4
The correct question is given below-
What is the purpose of random assignment in an experiment? Check all that apply.
Group of answer choices
To select a sample that is representative of the population
To create similar treatment groups
To eliminate the effects of the explanatory variable
To control voluntary response bias
Control for confounding variables
Question 1-2
Anthony is writing the place cards for his best friend's wedding reception. If he can write 12 place cards in 5 minutes, how long will it take him to complete the entire group of 180
place cards?
15 mins
45 mins
60 mins
75 mins
It will take Anthony 75 minutes to complete the entire group of 180 place cards.
To solve this problem, we can set up a proportion:
12 place cards / 5 minutes = 180 place cards / x minutes
Cross-multiplying, we get:
12x = 900
Dividing both sides by 12, we get:
x = 75
Therefore, it will take Anthony 75 minutes to complete the entire group of 180 place cards.
4. A bag of candy has 22 twix, 14 reeces, and 16 hersheys. Give a reduced ratio of non-twix to ALL candy.
Answer: 30/52 or 58%
Step-by-step explanation:
The non-Twix candies to all candies is 30 pieces of non-Twix to 52 total candies. This is a ratio of 30:52 or 58%. I hope this helps you. <3
Answer: 15 non-twix to 26 total candy
Step-by-step explanation:
non twix: 14+16=30
all candy: 22+14+16=52
30:52
simplify
15:26
Please Solve These !!!
Step-by-step explanation:
5.
38+x=90
x=52
6.
2x+2x=16
4x=16
x=4
7.
132+6x=180
6x=48
x=8
if I have an 84% which is a B but get a 65 which is a D whats my grade now?
Answer: C
Step-by-step explanation:
Find the ratio of the lengths of corresponding sides for the similar triangles.
smaller/larger =
The ratio of the lengths of corresponding sides for the similar triangles ΔBCA and ΔEFD is 1/2 for the smaller/larger triangles.
The perimeter of triangle ABC is 40 meters.
What is perimeter of triangle?The perimeter of a triangle is the sum of the lengths of its three sides.
It is a measure of the distance around the triangle, and is often used in geometry to solve problems related to the size and shape of triangles.
To find the ratio of the lengths of corresponding sides for the similar triangles ΔBCA and ΔEFD, we can use the fact that corresponding sides of similar triangles are proportional.
Let's first find the length of the third side of triangle ABC, which is BC. Since AC is the base of triangle ABC, we can use the Pythagorean theorem to find the length of BC:
BC^2 = AB² - AC²
BC^2 = 17² - 15²
BC^2 = 64
BC = 8
Now, we can find the ratio of corresponding sides:
BC/EF = 8/16 = 1/2
AB/ED = 17/30
To find the perimeter of triangle ABC, we can simply add up the lengths of its sides:
Perimeter = AB + BC + AC
Perimeter = 17 + 8 + 15
Perimeter = 40
To know more about similar triangles visit:
https://brainly.com/question/29249755
#SPJ1
please help due tomorrow
what conditions are necessary in order to use the dependent samples t-test for the mean of the difference of two populations
When these conditions are met, you can use the dependent samples t-test to compare the mean of the difference between the two populations.
Paired samples
Random sampling.
Normal distribution
Independence of pairs.
To use the dependent samples t-test for the mean of the difference of two populations, the following conditions are necessary:
Paired samples:
The data must consist of pairs of observations (e.g., pre- and post-test scores) that are related or dependent on each other.
Random sampling:
The paired samples must be randomly selected from the populations.
Normal distribution:
The distribution of the differences between the paired samples should be approximately normally distributed.
This condition can be evaluated using a normality test, such as the Shapiro-Wilk test, or by visually inspecting a histogram or Q-Q plot of the differences.
Interval or ratio data:
The data should be measured on an interval or ratio scale (e.g., weight, height, test scores), rather than on an ordinal or nominal scale.
Independence of pairs:
The differences within each pair of observations should be independent of the differences in other pairs.
For similar question on conditions.
https://brainly.com/question/16013260
#SPJ11
If these conditions are met, then the dependent samples t-test can be used to test the null hypothesis that the mean difference between the two populations is zero.
The dependent samples t-test is used to compare the means of two related or dependent populations, where the samples are paired or matched. In order to use the dependent samples t-test for the mean of the difference of two populations, the following conditions should be met:
The two populations should be normally distributed, or the sample sizes should be large enough (typically, n > 30) to satisfy the central limit theorem.The differences between the pairs should be normally distributed, or the sample size should be large enough to satisfy the central limit theorem.The differences between the pairs should be independent of each other.The variances of the differences between the pairs should be equal, or the sample sizes should be large enough to justify assuming equal variances.The pairs should be randomly selected from the two populations.Learn more about hypothesis here:
https://brainly.com/question/24723128
#SPJ11
Please help
Part 1 - Froph decided to purchase some naxvips (x) and dubbles (y). Dubbles cost $2 each and naxvips cost $2 each. At most, he could spend $6. Write an inequality, in standard form, to model this relationship.
Part 2 - Give one possible pair of numbers (write a point using whole numbers only)
------------------------------------------------------------------------------------------------------------------------
I know it sounds ridiculous, but this is how the problem was written. I hope you can still understand it. Thank you for your help!!
Froph can purchase 2 naxvips and 1 dubble with a maximum budget of $6.
How to solve the question?
Part 1:
Let's assume Froph purchased "x" naxvips and "y" dubbles. The cost of each naxvip and dubble is $2. Therefore, the total cost of purchasing "x" naxvips and "y" dubbles can be calculated as:
2x + 2y <= 6
This inequality can be simplified by dividing both sides by 2:
x + y <= 3
This is the standard form of the inequality that models the relationship between the number of naxvips and dubbles Froph can purchase with a maximum budget of $6.
Part 2:
One possible pair of numbers that satisfies the inequality is (2, 1). If Froph purchases 2 naxvips and 1 dubble, the total cost would be:
2 x $2 + 1 x $2 = $6
This pair of numbers satisfies the inequality since:
2 + 1 = 3 <= 3
Therefore, Froph can purchase 2 naxvips and 1 dubble with a maximum budget of $6.
To know more about inequalities visit :-
https://brainly.com/question/25275758
#SPJ1
An item costs x dollars and then a 20% discount is applied. Select all the expressions that could represent the price of the item after the discount.
a. 20/100x
b. X-20/100x
c. (1-0. 20)x
d. 100-20/100x
e. 0. 80x
f. (100-20)x
please hurry! its due in 30 min!
The correct expressions that could represent the price of the item after the discount are (1-0.20)x and 0.80x. So, correct options are C and E.
When a 20% discount is applied to an item that costs x dollars, the price of the item after the discount can be represented as:
x - 0.20x = 0.80x
This means that the price of the item after the discount is 80% of its original price.
Now let's look at the given expressions and see which ones could represent the price of the item after the discount:
a. 20/100x - This expression represents the amount of the discount, not the price of the item after the discount.
b. X-20/100x - This expression represents the original price minus the discount, not the price of the item after the discount.
c. (1-0.20)x - This expression simplifies to 0.80x, which is correct.
d. 100-20/100x - This expression represents 100 minus the discount, not the price of the item after the discount.
e. 0.80x - This expression is correct, as we already determined that the price of the item after the discount is 0.80x.
f. (100-20)x - This expression represents the original price minus the discount as a percentage of the original price, not the price of the item after the discount.
Therefore, Correct options are C and E.
To learn more about expressions click on,
https://brainly.com/question/23581936
#SPJ4
a work system has five continuous stations that have process times of 5, 8, 4, 7, and 8 min/unit respectively. what is the process time of the system?
The process time of the system is 32 min/unit.
A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below.
Which equation can be used to determine the amount of cherry juice in each mixture?
Therefore, there are 6 quarts of cherry juice in the mixture.
What is equation?An equation is a mathematical statement that asserts the equality of two expressions. It contains variables, constants, and mathematical operations, such as addition, subtraction, multiplication, division, exponentiation, etc. The purpose of an equation is to find the value of the variables that make the two expressions equal. Equations are used in a wide range of mathematical applications, such as algebra, geometry, calculus, physics, engineering, and more.
Here,
The cost of the cherry juice is $5 per quart and the cost of the lime juice is $3 per quart. Let's use the variable "c" to represent the number of quarts of cherry juice in the mixture. Then, the number of quarts of lime juice in the mixture would be (8 - c) because there are a total of 8 quarts of juice.
The equation to determine the amount of cherry juice in the mixture would be:
5c + 3(8 - c) = 36
This equation represents the total cost of the juice mixture, which is the cost of the cherry juice plus the cost of the lime juice, and it is set equal to the total amount spent, which is $36.
Simplifying the equation, we get:
5c + 24 - 3c = 36
2c = 12
c = 6
To know more about equation,
https://brainly.com/question/28243079
#SPJ1
Find the measures of angle a and B. Round to the
nearest degree.
The measure of angle A and B is 29° and 61° respectively
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
sin(tetha) = opp/hyp
tan(tetha) = opp/adj
cos(tetha) = adj/hyp
The opposite is 6 and the adjascent = 11
Therefore tan (tetha) = 11/6 = 1.833
tetha = tan^-1( 1.833)
= 61°( nearest degree)
The sum of angle in a triangle is 180°
therefore,
angle A = 180-( 61+90)
= 180-151
= 29°
therefore the measure of angle A and B is 29° and 61° respectively.
learn more about trigonometric ratio from
https://brainly.com/question/24349828
#SPJ1
6. Anchorage (southern coast of Alaska) is several hundred miles north of Helena, Montana, yet its January temperatures are similar to Helena's. Explain why.
Helena experience similar temperatures during January due to their subarctic climate regime, but the moderating effect of the oceanic currents on Anchorage's climate makes its winters milder than those of Helena.
what is temperatures ?
"Temperatures" refers to the degree of hotness or coldness of a substance, usually measured in degrees Fahrenheit (°F) or Celsius (°C). In the context of the original question, "temperatures" refers to the measure of how hot or cold it is in a particular location, specifically in Anchorage and Helena.
In the given question,
Anchorage and Helena are both located in high latitude regions where the climate is dominated by polar or subarctic air masses. The prevailing westerly winds carry these cold air masses from the Arctic towards the continental interiors, affecting the climate of both Anchorage and Helena. Although Anchorage is located further north than Helena, it is situated along the coast of the Gulf of Alaska, which is influenced by the relatively warm oceanic currents such as the North Pacific Current and the Alaska Current. These currents help to moderate the cold air masses coming from the north, resulting in a maritime subarctic climate in Anchorage.
In contrast, Helena is situated in the interior region of Montana, which is far away from any major water bodies, leading to a continental subarctic climate with relatively colder and drier conditions compared to Anchorage. Therefore, despite their different latitudes, both Anchorage and Helena experience similar temperatures during January due to their subarctic climate regime, but the moderating effect of the oceanic currents on Anchorage's climate makes its winters milder than those of Helena.
To know more about temperatures , visit:
https://brainly.com/question/11464844
#SPJ1
HELP MARKING BRAINLEIST
Answer:
r = 2
center: ( -7,0 )
Step-by-step explanation:
a prism that has three rectangular faces. its other faces are in the shape of
A prism that has three rectangular faces. its other faces are in the shape of parallelograms.
What is a polygon?
A closed polygonal chain of connected line segments makes up a polygon, which is a plane figure. The edges or sides of a closed polygonal chain are the individual pieces. The polygon's vertices or corners are the places where two edges converge. A solid polygon's body is its inside.
Here, we have
Given: a prism that has three rectangular faces.
We have to find its other faces in the shape of.
We concluded that a prism is three-dimensional.
The faces of a prism are polygons. Two opposite faces, called bases, are equal or congruent.
The other faces are parallelograms.
Hence, a prism that has three rectangular faces. its other faces are in the shape of parallelograms.
To learn more about the polygon from the given link
https://brainly.com/question/1592456
#SPJ1
MP Use Tools The function E(m) = (3.7 x 10%) ms roughly models the life expectancy E (in seconds) of an animal in captivity that has a mass of m kilograms. The function R(m) = 3.8m roughly models the heart rate R (in beats per second) of an animal with a mass m (in kilograms). Approximately how many times greater is the number of heartbeats over the expected lifetime of a koala bear in captivity with a mass of 9 kilograms than that of a brown bear with a mass of 278 kilograms? State what strategy and tool you will use to answer the question, explain your choice, and then find the answer.
957 times greater is the number of heartbeats over the expected lifetime of a koala bear in captivity with a mass of 9 kilograms than that of a brown bear with a mass of 278 kilograms.
For solve this problem, we have used normal mathematical strategy and for calculation we used calculator.
How to calculate the expected lifetime of a koala bear and a brown bear in captivity and then use these values?
To answer this question, we need to calculate the expected lifetime of a koala bear and a brown bear in captivity and then use these values to find the number of heartbeats for each animal. We can then compare the ratio of the number of heartbeats of the brown bear to that of the koala bear.
The strategy we will use is as follows:
Use the given formula E(m) = (3.7 x 10%) ms to calculate the expected lifetime of a koala bear with a mass of 9 kilograms and a brown bear with a mass of 278 kilograms.
Use the given formula R(m) = 3.8m to calculate the heart rate of each animal.
Multiply the heart rate by the expected lifetime to find the total number of heartbeats for each animal.
Divide the number of heartbeats for the brown bear by that of the koala bear to find the ratio of the number of heartbeats.
To perform these calculations, we can use a scientific calculator, spreadsheet software, or a programming language. For simplicity, we will use a calculator.
Expected lifetime:
For a koala bear with m = 9 kg: E(9) = (3.7 × 10%) × 9 × 1000 = 3330 seconds
For a brown bear with m = 278 kg: E(278) = (3.7 × 10%) × 278 × 1000 = 102626 seconds
Heart rate:
For a koala bear with m = 9 kg,
R(9) = 3.8 × 9 = 34.2 beats per second
For a brown bear with m = 278 kg,
R(278) = 3.8 × 278 = 1056.4 beats per second
Total number of heartbeats:
For a koala bear, 34.2 × 3330 = 113436 heartbeats
For a brown bear, 1056.4 × 102626 = 108570982.4 heartbeats
Ratio of number of heartbeats 108570982.4 / 113436 = 957.4
Therefore,
The number of heartbeats over the expected lifetime of a brown bear with a mass of 278 kilograms is approximately 957 times greater than that of a koala bear with a mass of 9 kilograms.
Learn more about expected lifetime here,
https://brainly.com/question/27613355
#SPJ1
Answer every question. Pick one option for each question. Show your work.
1. Over one week, a snack booth at a fair sold 362 cans of soft drinks for $1.75 each and
221 hot dogs for $2.35 each. Which calculation will give the total sales of soft drinks and
hot dogs?
A. 362(2.35) + 221(1.75)
B. 221(2.35) + 362(2.35)
C. 221(1.75) + 362(1.75)
D. 362(1.75) + 221(2.35)
Juliet conducted a survey to find the favorite type of book of the students at her school. She asked 20 students from her class what their favorite type of book is. Juliet concludes that short stories is the favorite type of book of the students in her school because 80% of the students in her class like short stories.
Use at least two sentences to explain why Juliet's sample may not be valid. Make sure to use facts to support your answer
Answer: See Bellow
Step-by-step explanation:
Juliet's sample may not be valid for several reasons. Firstly, her sample size of 20 students may not represent the entire student population at her school. If her class is not a random sample of the whole student population, her results may not generalize to the entire school. Additionally, the model may suffer from selection bias if she only surveyed students she knew liked short stories or if she conducted the survey in a way that only sure students responded. Therefore, it is essential to have a large and representative sample to ensure the validity of the conclusions drawn from the survey results.
x +X+90 x+30 what is the compound inequality
The compound inequality 20 < 90 + x < 30 when solved has a solution of -70 < x < -60.
Evaluating the compound inequality From the question, we have the following parameters that can be used in our computation:
20 < 90 + x < 30
Subtracting 90 from all parts of the inequality, we get:
-70 < x < -60
Therefore, the solution to the compound inequality is: -70 < x < -60.
Read more about inequality at
https://brainly.com/question/30390162
#SPJ1
how many atheletes in total were acccused of using performance-enhancing drugs? of these, how many were using and how many were not? what percentage of those accused of using were falsely accused?
There have been numerous cases of athletes being accused of using performance-enhancing drugs, and the numbers may vary depending on the sport, country, and time period in question.
Additionally, determining how many athletes were using or not using performance-enhancing drugs would require specific information on individual cases.
Regarding the percentage of athletes falsely accused of using performance-enhancing drugs, it is difficult to determine an accurate figure without examining each case in detail. False accusations may occur due to various reasons, such as flawed testing procedures or contaminated supplements, and the percentage of false accusations may vary depending on the situation.
If you have a specific case or sport in mind, I can try to provide you with more information on that topic.
For more questions like drugs visit the link below:https://brainly.com/question
#SPJ11
an open box will be made by cutting a square from each corner of a 16-inches by 10-inches piece of cardboard and then folding up the sides. what size square should be cut from each corner in order to produce a box of maximum volume? what is that maximum volume?
The size of the square to cut is 5/3 inches and the maximum volume of the box is 266.67 cubic inches.
To find the size of the square to cut and the maximum volume, we can follow these steps:
Let's call the length of each side of the square to be cut x inches. So the dimensions of the base of the box would be (16-2x) inches by (10-2x) inches.
The height of the box would be x inches since we are folding up the sides.
The volume of the box can be found by multiplying the length, width, and height: V = (16-2x)(10-2x)x.
To find the maximum volume, we can take the derivative of V with respect to x and set it equal to zero, since the maximum volume occurs at a critical point.
After taking the derivative and simplifying it, we get the equation 24x^2 - 520x + 1600 = 0.
Solving this quadratic equation, we get x = 5/3 or x = 20/3. Since x must be less than 5 (the length of the shorter side), the only feasible solution is x = 5/3 inches.
Plugging this value of x back into the equation for the volume, we get V = (16-2(5/3))(10-2(5/3))(5/3) = 266.67 cubic inches.
Learn more about the maximum volume at
https://brainly.com/question/20866652
#SPJ4
Increase £15837. 77 by 18. 5%
Give your answer rounded to 2 DP.
If the amount of £15837.77 is to be increased by 18.5%, then the resulting amount after the increase is £18764.75.
A percentage is a number or ratio expressed as a fraction of 100. It represents a portion of something relative to the whole, and is commonly used to express changes or comparisons between two values
To increase a number by a percentage, you can use the following formula
New value = Original value + (Percentage increase / 100) × Original value
Using this formula, we can find the new value of £15837.77 after an 18.5% increase
New value = 15837.77 + (18.5 / 100) × 15837.77
= 15837.77 + 2926.98
= 18764.75
Therefore, an 18.5% increase on £15837.77 is £18764.75, rounded to 2 decimal places.
Learn more about percentage here
brainly.com/question/12715980
#SPJ4
determine the categorical and numerical variables in this study. eye color in this study is a ---select--- variable, and the corresponding trustworthiness rating is a ---select--- variable.
Eye color in this study is a categorical variable, and the corresponding trustworthiness rating is a numerical variable.
Categorical variable: "Eye color" is a categorical variable because it represents discrete categories or groups of individuals based on their eye color, such as blue, brown, green, etc. Categorical variables are qualitative variables that do not have numerical values and are typically used to represent characteristics or attributes of individuals or objects.
Numerical variable: "Trustworthiness rating" is a numerical variable because it represents a quantitative value assigned to individuals based on their trustworthiness. Numerical variables are quantitative variables that have numerical values and can be measured on a continuous or discrete scale, allowing for mathematical calculations and statistical analysis. In this case, the trustworthiness rating is a numerical variable that represents a quantitative measure of trustworthiness.
Learn more about “ categorical and numerical variables “ visit here;
https://brainly.com/question/30898467
#SPJ4
Complete Question
Determine the categorical and numerical variables in this study. Eye color in this study is a __________ variable, and the corresponding trustworthiness rating is a __________ variable.
Select all expressions equivalent to 162x^2 – 72.
2(9x - 6)^2
2 (81x^2 – 36)
2 (9x - 6) (9x + 6)
18(3x^2 – 2)^2
18 (3x - 2) (3x + 2)
Expressions (i) and (v) are equivalent to the original expression [tex]162x^2 - 72.[/tex]
What is expression?In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a quantity. It can consist of constants, variables, arithmetic operators, and other mathematical functions or operations.
According to given information:The expression [tex]162x^2 - 72[/tex] can be factored using the difference of squares formula: [tex]a^2 - b^2 = (a+b)(a-b)[/tex].
First, we can factor out 18 from the expression:
[tex]162x^2 - 72 = 18(9x^2 - 4)[/tex]
Now, we can apply the difference of squares formula by setting a = 3x and b = 2:
[tex]9x^2 - 4 = (3x)^2 - 2^2 = (3x + 2)(3x - 2)[/tex]
Substituting this back into the original expression, we get:
[tex]162x^2 - 72 = 18(9x^2 - 4) = 18(3x + 2)(3x - 2)[/tex]
Therefore, expressions (i) and (v) are equivalent to the original expression [tex]162x^2 - 72[/tex].
To know more about expression visit:
https://brainly.com/question/1859113
#SPJ1
Walking tours at a park begin every 25 minutes and bus tours begin every 45 minutes. Both tours start at 8:00 a.m. when the park opens. When is the next time the tours will start at the same time?
The next time the walking and bus tours will start at the same time is 11:45 a.m.
What is the lcm?
The LCM is multiple which is useful if fractions need to be expressed in the same name, when the other number is multiple, LCM will have the larger number:
To find out when the walking and bus tours will start at the same time, we need to find the least common multiple (LCM) of 25 and 45, which is the smallest time interval that is a multiple of both 25 minutes and 45 minutes.
The prime factorization of 25 is 5 * 5, and the prime factorization of 45 is 3 * 3 * 5. To find the LCM, we take the highest power of each prime factor that appears in either factorization, so:
LCM = 3 * 3 * 5 * 5 = 225
Therefore, the walking and bus tours will start at the same time every 225 minutes, or 3 hours and 45 minutes. To find the next time they will start at the same time, we need to add 225 minutes to the starting time of 8:00 a.m.
8:00 a.m. + 3 hours and 45 minutes = 11:45 a.m.
Hence, the next time the walking and bus tours will start at the same time is 11:45 a.m.
To learn more about the LCM visit:
https://brainly.com/question/233244
#SPJ1
Monique claims the surface area of the cylinder is about 1001.66 square feet explain Monique's error find the correct surface area.
Answer: Monique's error is likely due to rounding the surface area to two decimal places, which led to an inaccurate result.
The formula for the surface area of a cylinder is:
S = 2πr^2 + 2πrh
where r is the radius of the base of the cylinder, h is the height of the cylinder, and π is approximately 3.14.
To find the correct surface area, we need to know the values of r and h. Without this information, we cannot calculate the exact surface area.
However, we can use Monique's estimate to estimate the values of r and h.
1001.66 = 2πr^2 + 2πrh
Dividing both sides by 2π, we get:
500.83 = r^2 + rh
We don't know the exact values of r and h, but we know that the surface area should be greater than 1001.66 square feet. Therefore, we can assume that the radius and height must be greater than a certain value.
For example, if we assume that the radius is at least 5 feet, we can solve for the minimum value of h:
500.83 = 5^2 + 5h
495.83 = 5h
h = 99.166
So if the radius is 5 feet and the height is 99.166 feet, the surface area would be:
S = 2π(5^2) + 2π(5)(99.166)
S = 1570.8 square feet
This is greater than Monique's estimate of 1001.66 square feet, indicating that her estimate was too low due to rounding.
Step-by-step explanation:
