Answer:
firstly, I would fill up the 10-oz glass with juice and use it to fill the 6-oz glass. This would leave me with 4 oz left in the 10-oz glass
Step-by-step explanation:
Huw investigates the opinion of the public about their local primary schools. He visits his town centre and administers a questionnaire to 120 people over the course of several days.
What type of sampling is this?
The type of sampling that Huw is using is called Convenience Sampling.
Explanation:
Convenience sampling is a non-probability sampling technique where the sample is selected based on ease of access and availability. In Huw's case, he is administering the questionnaire to people who happen to be in the town centre, which is convenient for him. The sample is not selected randomly, and therefore does not accurately represent the population as a whole. Convenience sampling is often used in quick, informal surveys where the researcher does not have the resources or time to conduct a more rigorous, randomized sampling method.
A soccer player has a large cylindrical water cooler that measures 3.5 feet in diameter and is 2 feet tall. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water are in the water cooler when it is completely full? Use π = 3.14 and round to the nearest hundredth.
The volume of the water in the water cooler when it is completely full is 82.21 gallons.
What is a cylinder?
One of the most fundamental curvilinear geometric shapes, a cylinder has traditionally been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry. In many contemporary branches of geometry and topology, a cylinder can also be defined as an infinitely curvilinear surface.
Given that the height of a cylinder is 3.5 feet. The diameter of the cylinder is 2 feet.
The radius of the cylinder is half of the diameter.
The radius of the cylinder is 2/2 = 1 foot.
The volume of a cylinder is πr²h.
r = radius, h = height
The volume of the cylinder is
π×1²×3.5
= 3.14 × 3.5
= 10.99 cubic foot
= 10.99 × 7.48 gallons
= 82.205 gallons
= 82.21 gallons
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Sophia is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes. How many different outfits does Sophia have to choose from?
The number of many different outfits Sophia has to choose from should be 16.
What is arithmetic?
Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction.
Here, we have
Given: Sophia is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes.
She can choose from 2 pairs of pants, 2 t-shirts, and 4 pairs of shoes.
So here the number of distinct outfits should be like
= 2 × 4 × 2
= 16
Hence, the number of many different outfits Sophia has to choose from should be 16.
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Answer:16
Step-by-step explanation:Total outcomes
=
Total outcomes=
2‾
pants
×
2‾
t-shirts
×
4‾
shoes
pants
2
×
t-shirts
2
×
shoes
4
Fundamental counting principle
=
=
16
v=1/3(3.14) times 64 times 18
need help with this asap please!!
Answer:
A van can carry 18 students; a bus can carry 41 students.
Step-by-step explanation:
Let v = capacity of van.
Let b = capacity of bus.
School A:
3v + 12b = 546
School B:
13v + 6b = 480
Our system of equation is:
3v + 12b = 546
13v + 6b = 480
3v + 12b = 546
+ -26v - 12b = -960
-----------------------------
-23v = -414
v = 18
3v + 12b = 546
3(18) + 12b = 546
54 + 12b = 546
12b = 492
b = 41
Answer: A van can carry 18 students; a bus can carry 41 students.
Please help me on this I am confused find the value of x pls pls pls pls pls pls pls pls pls pls pls pls pls.
The value of x is given as follows:
x = 130º.
How to obtain the value of x?To obtain the value of x, we must consider the exterior angle theorem, which states that each interior angle is supplementary with it's interior angle, meaning that the sum of their measures is of 180º.
As the interior angle is of 50º, the measure of the exterior angle x is given as follows:
x = 180 - 50
x = 130º.
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34 on april 18, 1775, paul revere set off on his midnight ride from charlestown to lexington. if he had ridden straight to lexington without stopping, he would have traveled 11 miles in 26 minutes. in such a ride, what would the average speed of his horse have b
The average speed of Paul Revere's horse, assuming he rode straight to Lexington without stopping, would have been approximately 25.4 miles per hour.
To find the average speed of Paul Revere's horse, we can use the formula:
average speed = total distance / total time
In this case, the total distance is 11 miles, and the total time is 26 minutes, or 0.4333 hours (since there are 60 minutes in an hour).
So, the average speed of Paul Revere's horse would be:
average speed = 11 miles / 0.4333 hours
average speed ≈ 25.4 miles per hour
Therefore, the average speed of Paul Revere's horse, to the nearest tenth of a mile per hour, would have been 25.4 miles per hour.
Using the formula for average speed, we can calculate that Paul Revere's horse would have had to travel at an average speed of approximately 25.4 miles per hour to cover the 11-mile distance in 26 minutes. This assumes that he rode straight through without stopping.
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The complete question is:
On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles in 26 minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?
The temperature at noon was $-4\degree$ C. By midnight, the temperature dropped $8\degree$ C. Which expression represents the temperature at midnight?
The temperature at midnight would be -4°C - 8°C since the temperature at noon was -4°C and at midnight it dropped 8°C.
The temperature at midnight would be -4°C minus 8°C, which can be expressed as:
-4°C - 8°C = -12°C
Therefore, the temperature at midnight would be -12°C.
Temperature is a measure of the degree of hotness or coldness of a body or an environment. It is a physical quantity that expresses the amount of thermal energy in a substance or a system, typically measured using a thermometer in units such as Celsius (°C) or Fahrenheit (°F). In general, the higher the temperature, the more thermal energy is present in the system, and the lower the temperature, the less thermal energy is present.
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the mayor of a town believes that above 72% of the residents favor annexation of an adjoining community. is there sufficient evidence at the 0.05 level to support the mayor's claim? state the null and alternative hypotheses for the above scenario.
Null hypothesis: Proportion of residents favoring annexation <= 72%. Alternative hypothesis: Proportion of residents favoring annexation > 72%
The null hypothesis is that the proportion of residents who favor annexation is equal to or less than 72%. The alternative hypothesis is that the proportion of residents who favor annexation is greater than 72%.
To determine if there is sufficient evidence to support the mayor's claim, a hypothesis test should be performed. A common approach is to use a one-sample proportion test. This test compares the proportion of residents who favor annexation in a sample to the hypothesized proportion of 0.72.
Assuming a significance level of 0.05, if the p-value is less than 0.05, then there is sufficient evidence to reject the null hypothesis and conclude that the proportion of residents who favor annexation is greater than 72%.
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The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.
2 0, 2, 5
3 1, 3, 4
4 1, 1, 5
5 0, 6
6 7
Key: 3|1 means 3.1
What is the mean, and what does it tell you in terms of the problem?
3.1 feet; The value means the furthest the ball went.
3.875 feet; The value means that a typical throw of the ball results in 3.875 feet.
4.1 feet; The value means this measurement had the most occurrences.
4.65 feet; The value means that a typical throw of the ball results in 4.65 feet.
The mean would be 35 feet.
The mean tells us that the typical throw of the ball results in a distance of approximately 3.5 feet.
what is Mean?
In arithmetic, mean is the sum of all the added values of all the data in a set divided by the number of data in the set.
To find the mean of the distances, we need to calculate the sum of all the distances and divide by the total number of distances:
(20+25+25+31+33+34+41+41+45+50+56+67) / 12 = 425 / 12 = 35.42
Rounding to one decimal place, we get the mean distance of approximately 3.5 feet.
However, it's worth noting that the stem-and-leaf plot shows some variability in the distances, with some throws going as far as 6.7 feet and some as short as 2 feet.
So while the mean can provide us with a measure of central tendency, it doesn't tell the whole story about the distribution of the distances.
Therefore, The mean would be 35 feet. The mean tells us that the typical throw of the ball results in a distance of approximately 3.5 feet.
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12.5 × 1.989 pls help me
can someone please help me(10 points will give brainliest!!!)
The value of the function f(a + 1) - f(a) is 2a - 2
What is a functionfunction, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
In the given problem;
f(x) = x² - 3x
f(a + 1) - f(a) = ?
f(a + 1) = a² - a - 2
f(a) = a² - 3a
f(a + 1) - f(a) = a² - a - 2 -(a² - 3a)
f(a + 1) - f(a) = 2a - 2
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subsitute (-3,3) 2y+x=3 y=x+0
Answer:
Point (-3, 3) is not a solution to the system of equations
2y+x=3
y=x+0
Step-by-step explanation:
2y + x = 3
y = x + 0
2(3) + (-3) = 3
6 - 3 = 3
3 = 3
The point works in the first equation.
3 = -3 + 0
3 = -3
The point does not work in the second equation.
Jayden and Ramon are members of a bowling league. Jayden plans to order
custom team shirts and he has narrowed his options down to two companies.
Designs n More will charge a $10 design fee and $7.50.per shirt: Custom
Creations charges $9 per shirt and does not charge a design fee.
Equating the mathematical expressions, for the total costs of both companies to be the same, Jayden and Ramon must buy about 7 shirts.
What is a mathematical expression?A mathematical expression consists of the combination of variables, values, constants, and numbers using mathematical operands.
A mathematical expression is not the same as an equation, which states that two mathematical expressions are equal.
Designs n More Custom Creations
Design Fee $10 $0
Variable cost per shirt $7.50 $9.00
Let the number of shirts = x
Designs n More's total costs = 10 + 7.5x ... Expression 1
Custom Creations' total costs = 9x ... Expression 2
For the total costs of both companies to be the same, the two expressions for their total costs will be equal:
10 + 7.5x = 9x
10 = 1.5x
x ≈ 7
Thus, approximately, 7 shirts need to be bought for the total costs to be the same.
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Question Completion:How many shirts will make the two companies' total costs the same?
christian has a collection of 18 shark teeth. he identified them as 6 tiger shark teeth, 8 sand shark teeth, and the rest as bull shark teeth, what does the ration 6:8 represent in this situation
Answer:
Check below
Step-by-step explanation:
Number of tiger shark teeth = 6
Number of sand shark teeth = 8
Number of tiger shark teeth : Number of sand shark teeth
6 : 8
∴ 6 : 8 ratio representation
Answer:
6:8
Step-by-step explanation:
The following table shows the length (in days) of each of the
9
99 Tucker family vacations.
Based on this data, what is a reasonable estimate of the probability that the next Tucker family vacation lasts less than
3
33 days?
Answer:because
Step-by-step explanation:a
Answer: 0.56
Step-by-step explanation:
1.9 unit conversions
Change 24 in./s to ft/min.
After unit conversion of 24 in./s into ft/min the value will be 120
What are Units ?To measure and compare various things we use one term which is known as a unit. When all of the measuring units are the same, comparison is simple. Depending on their intended usage, different units can be categorized.
For example, for length measurement we use units like:- meter, centimeter, inch, miles.
Given that,
A rate = 24 in./s
The value of rate in ft./min. = ?
It is known that,
1 feet = 12 inches
And 1 minute = 60 second
So,
1 inches = 1/12 feet
1 second = 1/60 minute
⇒ 24 in./s
⇒ 24 ((1/12)ft / (1/60)sec)
⇒ 24 × 60/12
⇒ 24 x 5
⇒ 120
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One year, the population of a city was 322,000. Several years later it was 273,700. Find the percent decrease.
The population of the city has decreased by 15%.
Percentage refers to a way of expressing a number as a fraction of 100, and is often represented by the symbol (%).
To find the percent decrease, we need to determine the difference between the original population and the new population. We can do this by subtracting the new population from the original population:
322,000 - 273,700 = 48,300
This means that the population has decreased by 48,300. To find the percentage decrease, we need to express this as a percentage of the original population. We can do this by dividing the decrease by the original population and then multiplying by 100:
(48,300 / 322,000) x 100 = 15%
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Find the value of "x" and "y". State which angle pair theorem (s) you need.
(4)*
3x
y
(5x – 64)°
X =
4 =
theorem:
4.
jack bought a bike that was 35% off the original price let p represent the original price. what expressions can be used to calulate the sale price
The expression used to calculate the sale price is given as follows:
S(p) = 0.65p.
How to obtain the sale price?The expression used to calculate the sale price is obtained applying the proportions in the context of the problem.
The price was 35% off, meaning that there was a discount of 35%, meaning that a percentage of 100 - 35 = 65% of the total price was paid, hence the expression used to calculate the sale price is given as follows:
S(p) = 0.65p.
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A 6
6
-foot ribbon is cut into 4
4
equal pieces.
Which equation shows how to find the length of each piece?
The equation shows how to find the length of each piece is L = R / N and the length of each piece is 1.5 feet.
To find the length of each piece, we can use the following equation:
Length of each piece = Total length of the ribbon / Number of pieces
In mathematical terms, we can represent this equation as:
L = R / N
Where,
L is the length of each piece
R is the total length of the ribbon (66 feet in this case)
N is the number of pieces (44 in this case)
In this problem, we are given a 66-foot ribbon and we are asked to cut it into 44 equal pieces. We need to find out the length of each piece.
Using this equation, we can easily find the length of each piece:
L = 66 / 44
L = 1.5 feet
Therefore, each piece of the ribbon is 1.5 feet long.
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The figure on the right is a scaled copy of the figure on the left. Which side in the figure on the right corresponds to segment DF? What is the scale factor?
The side which corresponds to QS is VU, and the scale factor is 2.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given that, the figure on the right is a scaled copy of the figure on the left.
We need to find the corresponding side of QS and scale factor,
The figure is 90° counterclockwise rotated,
Therefore,
The corresponding sides are:
PR ~ TW
RQ ~ VT
QS ~ UV
PS ~ WU
∵ the measure of QS = 4 units and the measure of UV = 2 units
∴ scale factor = 4/2 = 2
Hence, the side which corresponds to QS is VU, and the scale factor is 2.
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The question do not contain figure, the similar question is solved.
Indicate whether each value will make the inequality 15<3x true. Drag True or False to the appropriate values: 5.6,5,3,6,7 3/4,4.5.
Answer:
So, for the values 5.6, 6, and 7, the inequality 15 < 3x is true. For the values 5, 3, 3/4, and 4.5, the inequality 15 < 3x is false.
Step-by-step explanation:
For the inequality 15 < 3x to be true, 3x must be greater than 15. To determine whether each value will make the inequality true, we can substitute each value for x and see if the inequality holds.
For x = 5.6, 3x = 16.8, which is greater than 15, so the inequality is true and the value 5.6 makes the inequality true.
For x = 5, 3x = 15, which is equal to 15, so the inequality is false and the value 5 does not make the inequality true.
For x = 3, 3x = 9, which is less than 15, so the inequality is false and the value 3 does not make the inequality true.
For x = 6, 3x = 18, which is greater than 15, so the inequality is true and the value 6 makes the inequality true.
For x = 7, 3x = 21, which is greater than 15, so the inequality is true and the value 7 makes the inequality true.
For x = 3/4, 3x = 2.25, which is less than 15, so the inequality is false and the value 3/4 does not make the inequality true.
For x = 4.5, 3x = 13.5, which is less than 15, so the inequality is false and the value 4.5 does not make the inequality true.
So, for the values 5.6, 6, and 7, the inequality 15 < 3x is true. For the values 5, 3, 3/4, and 4.5, the inequality 15 < 3x is false.
A plant is already 9 centimeters tall, and it will grow one centimeter every month.
Let be the plant's height (in centimeters) after months.
Write an equation relating to . Then graph your equation using the axes below.
Answer:
p + (m × 1) = t
If a plant is already ___cm tall and it will grow one cm every month, an equation to find out how much the plant grew in __ months is this:
(Let t = total number of centimeters, m = number of months, and p = the length of the plant already.)
p + (m × 1) = tTherefore, the equation you can use is p + (m × 1) = t.
A dust particle weighs around 7.53 x 10-16 grams.
grams
O 7,530,000,000,000,000,000
0.0000000000000753 grams
75, 300,000,000,000,000 grams
O 0.0000000000000000753 grams
O'0.0
0.000000000000000753 grams
Answer:
It would be 3.765 pounds. You have to do 7.53 x 10 to the -10= 0.000000000753. Then do 0.000000000753 x 5 billion to get 3.765.
Step-by-step explanation:
You take an SRS of size 500 from the 37,000 students at Purdue University and measure individual’s heights. You then take an SRS of size 250 from the 4,400,000 adults in the state of Indiana and measure their heights. Assuming the standard deviation of individual heights in the two populations is the same, the standard
deviation of the sampling distribution of mean heights for the Indiana sample is
(a) larger than for the Purdue sample because the sample size is smaller.
(b) larger than for the Purdue sample because it uses a smaller fraction of the population.
(c) smaller than for the Purdue sample because the sample size is smaller.
(d) smaller than for the Purdue sample because it uses a smaller fraction of the population.
(e) impossible to determine because of sampling variability.
Larger than for the Purdue sample because the sample size is smaller. Therefore, the option A is the correct answer.
What is margin of error?Your results will vary from the actual population value by how many percentage points, as indicated by the margin of error. A 95% confidence interval with a 4% margin of error, for instance, indicates that your statistic will, 95% of the time, be within 4% of the true population figure.
Given sample size = 500
Total outcomes = 37,000
The margin of error in a 95% confidence
The margin of error is given by
Margin of error (statistic) = Critical value x Standard error of the sample.
So, according to the given condition margin of error in a 95% confidence is same as for the Purdue sample because both are samples of size 500, because it depends on sample size.
Therefore, the option A is the correct answer.
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Intermediate value theorem states that if a function, f, with an interval, [a, b], as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the interval
A. True
B. False
Option A. TRUE. The theorem is important because it guarantees the existence of solutions to certain types of equations, and it is widely used in calculus, engineering, physics, and many other fields.
The Intermediate Value Theorem is a fundamental theorem in mathematics that states that, for any given continuous function on an interval, every value between the minimum and maximum values of the function on the interval must be taken by the function at some point within the interval. This theorem states that, given a function f defined on an interval [a, b], if f(a) and f(b) have different signs (i.e. one is positive and the other is negative), then there exists at least one c in the interval (a, b) such that f(c) = 0. The theorem is important because it guarantees the existence of solutions to certain types of equations, and it is widely used in calculus, engineering, physics, and many other fields.
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please this is so urgent
Select the correct answer.
What is the domain of the exponential function shown in the graph?
Answer: Choice D
Explanation:
The notation [tex]-\infty < \text{x} < \infty[/tex] says x is anything between negative infinity and positive infinity. Basically x is any real number. This is because the curve stretches forever to the left and right. Any number can be the x input.
Look at the image below.
Answer: 28 (look at the image for the solution)
Step-by-step explanation:
Answer:
A = base x height
A = 7 x 4
A = 28
Have a wonderful day! :-)
She has to be at the airport at least 100 minutes before the flight. By what time must she arrive at the airport?
She has to be at the airport at least 100 minutes before the flight. She must arrive at the airport at least two hours and 120 minutes before the flight.
Which ensures that she has time to check in, go through security and passport control, and board the flight. the amount f time a passenger needs to arrive before the flight can vary depending on the airline and airport. Generally, most airlines recommend that passengers arrive at the airport at least two hours before domestic flights and three hours before international flights.
In order it gives the passenger enough time to get to the airport depending on the location and traffic, check in and drop off any luggage, go through security and passport control, then at last board the flight
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