Answer:
1/13x + 35/13
Step-by-step explanation:
1. Two angles have the same value if they are complementary angles. TRUE FALSE
Answer: False
Step-by-step explanation: If two angles are complementary,
then the sum of their measures is 90 degrees.
In other words, any two angles whose sum is 90 when
their measures are added together are complementary angles.
Take a look at the angles below.
Do they have the same value?
Well obviously no, they don't so they aren't congruent.
However, they are still complementary because
the sum of their measures is 90 degrees.
25, 21, 26, 24, 29, 34, 29, 25, 20, 23
Find the IQR of the data set.
Previous
Answer:
6
Step-by-step explanation:
I used a calculator hope its correct
a professor wanted to study how students from their two campuses compared in their capabilities of using spreadsheets in undergraduate courses. the following data summarizes the results from a survey completed by a random sample of students collected at the two campus locations : campuses spreadsheet skill level north south good 37 21 not good 13 59 conduct an appropriate hypothesis test to determine if there is significance evidence of association between student skill level and campus location. what is the value of test statistic ? ( use 3 decimals for your answer )
The value of the test statistic is χ2 = 17.71 (rounded to two Decimal places).Therefore, the value of test statistic is 17.71 (rounded to two decimal places).
Hypothesis testing is a way of making statistical decisions using experimental data. In hypothesis testing, we have a null hypothesis H0 and an alternative hypothesis Ha.
A hypothesis test is performed on the data, and a conclusion is drawn about the null hypothesis. We reject the null hypothesis if the p-value is less than the level of significance. The level of significance, denoted by alpha (α), is the probability of rejecting the null hypothesis when it is true.In this problem, the null hypothesis is that there is no significant difference between the spreadsheet skill level and campus location.
The alternative hypothesis is that there is a significant difference between the two. The level of significance is α = 0.05.
Step 1: Calculate the expected values We start by calculating the expected values for each cell under the assumption that there is no association between the two variables. We use the formula: Expected value = (row total x column total) / grand total
The grand total is the total number of observations. In this case, it is 130.
The expected value of the "good" and "north" cell = (37 x 50) / 130 = 14.23Expected value of the "not good" and "north" cell = (13 x 50) / 130 = 5.00Expected value of the "good" and "south" cell = (21 x 80) / 130 = 12.92Expected value of the "not good" and "south" cell = (59 x 80) / 130 = 36.15
Step 2: Calculate the chi-square statistic use the formula:χ2 = ∑ (observed value - expected value)2 / expected valueThe degrees of freedom is (r - 1) x (c - 1) = (2 - 1) x (2 - 1) = 1χ2 = [(37 - 14.23)2 / 14.23] + [(13 - 5.00)2 / 5.00] + [(21 - 12.92)2 / 12.92] + [(59 - 36.15)2 / 36.15]χ2 = 17.71
Step 3: Find the p-valueWe use the chi-square distribution table with 1 degree of freedom and α = 0.05. The critical value is 3.84.
The p-value is the area to the right of the chi-square statistic. p-value = P(χ2 > 17.71) ≈ 0.00003Step 4: Make a decision since the p-value is less than the level of significance, we reject the null hypothesis. There is significant evidence of association between student skill level and campus location.
The value of the test statistic is χ2 = 17.71 (rounded to two decimal places).Therefore, the value of test statistic is 17.71 (rounded to two decimal places).
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A small town's phone numbers either begin 373 or 377. How many phone numbers are available? A. 20,000. B. 10,000 C. 30,000 D. 40,000
The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.
We know that the phone numbers of a small town either begin with 373 or 377. We are required to find out the number of phone numbers that are available. To solve this question, we need to count the number of phone numbers that are available for each prefix.
The prefix 373 can have numbers ranging from 3730000 to 3739999. Similarly, the prefix 377 can have numbers ranging from 3770000 to 3779999.
Therefore, the total number of phone numbers that are available is the sum of the phone numbers available for each prefix.
Total number of phone numbers = Number of phone numbers available for prefix 373 + Number of phone numbers available for prefix 377
Total number of phone numbers = 10000 + 10000
Total number of phone numbers = 20000
Therefore, The correct option is A. 20,000, as there are a total of 20,000 phone numbers available for the small town.
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Х2
х
1
1
xx
1 1
What’s the area of a squarw
Could you rephrase the question a bit? We can't tell what the numbers are... :)
Nora invested 1,500 in a bond be worth in total after 10 years.
Answer:
The question doesn’t show
Step-by-step explanation:
How
Rita's water tank contains 7.8 gallons of water. Rita will begin filling her water tank at a rate of 2.1 gallons per minute. Wendy's water tank contains 97.8 gallons of water. Wendy will begin draining her water tank at a rate of 0.9 gallon per minute. After how many minutes will both water tanks contain the same amount of water? 25 min 30 min 35 min 75 min
Answer:
30 minutes
Step-by-step explanation:
Given the following :
Rita's tank contains =7.8 gallons of water
Filling rate = 2.1 gallons per minute
Wendy's tank contains = 97.8 gallons
Drain rate =. 0.9 gallons per minute
After how many minutes will both contain the same amount of water.
Let number of minutes = m
Rita is filling :
Initial + increase
7.8 + 2.1m ----(1)
Wendy is emptying:
Initial - decrease
97.8 - 0.9m - - - (2)
Equate both ;
(1) = (2)
7.8 + 2.1m = 97.8 - 0.9m
2.1m + 0.9m = 97.8 - 7.8
3m = 90
m = 90 / 3
m = 30 minutes
3. What technique/s did you use?
97x103
Answer:
.9991Step-by-step explanation:
97 103 You write 9 three timesAnd u add 7 with 3 and u get 10 after you divide 10 by 10 which gives 1And you write that 1 behind 999 and u get the correct answer!!A set of points that lie in the same plane are collinear. True O False
Answer:
Step-by-step explanation:
two lines are guaranteed to be coplanar if they lie in the same plane
Answer:
it would be true
Step-by-step explanation:
its guaranteed
is cube of a number ending in 5 may or may not end in 5. True or false.
work out the perimeter of a semicircle with radius 3cm. give your answer in terms of pi
Answer:
[tex]\pi r + d \\ [/tex]
The circumference of a circle = 2πr
But here they asked half of the circumference = πr
By substituting this we get the answer 3π
Now add the diameter = 3π+6
Cypress Middle School wants to have a fundraiser to buy art supplies. Fundraiser A will give the school $1.50 for each order placed plus $75 as a bonus. Fundraiser B will give the school $3.00 for each order placed, but no bonus. How many orders must be placed in order for the total amount of money earned by each fundraiser?
A. 150
B. 5
C. 17
D. 50
Answer:
A
Step-by-step explanation:
I don't know noya
Three married couples go to a movie theatre. If they sit together in a row of 6 empty seats, what is the probability that each woman is to the left of her husband: 1/60, 1/30, or 1/120?
The answer is 1/30.
There are 6! = 720 ways to seat 6 people in a row. There are 3! = 6 ways to arrange the 3 couples, and 2! = 2 ways to seat each couple (husband first or wife first). This gives us 6 * 2! * 2! = 24 ways to seat the couples so that each woman is to the left of her husband. So, the probability is 24/720 = 1/30.
Here is a more detailed explanation:
We can think of the problem as a 3-step process:
1. The 3 couples are arranged in some order.
2. Within each couple, the husband and wife are seated in some order.
3. The 6 people are seated in a row, taking into account the order of the couples and the order of the husband and wife within each couple.
There are 3! = 6 ways to arrange the 3 couples. For each way of arranging the couples, there are 2! = 2 ways to seat each couple (husband first or wife first). This gives us 6 * 2! * 2! = 24 ways to seat the couples so that each woman is to the left of her husband.
Finally, there are 6! = 720 ways to seat 6 people in a row. So, the probability that each woman is to the left of her husband is 24/720 = 1/30.
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what is the mode of the following set of numbers? 121, 347, 45, 21, 300, 614, 312, 333, 421 279.3 21 312 no mode
The mode of the following set of figures is no mode.
What's a mode?
The mode is a value that appears most frequently in a data set. A set of data can have one mode, further than one mode, or no mode at all. In statistics, the value that constantly appears in a particular set is appertained to as the mode.
The mode or modal value in a data set is occasionally appertained to as the value or number that occurs most constantly in the data set.
In addition to mean and standard, it's one of the three measures of central tendency.
For case, the set" 3, 7, 8, 8, 9" has an 8 as its mode.
thus, we can snappily determine the mode given a finite number of compliances. There could be one mode, several modes, or none at all for a given collection of values.
To determine if a set of data has a mode, look for the value that occurs most constantly( the mode) because it can do further than formerly, or there may be no mode at all.
thus, the mode of the following set of figures is no mode.
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What is the intersection of plane HGY and plane GEF?
GH
Step-by-step explanation:Hi !
GH ∈ (HGY)
GH ∈ (GEF) } => (HGY) ∩ (GEF) = GH
Good luck !
what is 0.000750 in scientific notation?
Answer:
7.5 × 10-4
Step-by-step explanation:
Answer: 7.5x10^-4
Step-by-step explanation:
Help please ? It’s about linear
Answer:
D.
Hope this helps
SQL (no data required)
Show a list of product names and unit prices ranked by unit
price into three categories based on price: 1, 2, 3. The
highest-priced products will be marked with a 1, the second
To generate a list of product names and unit prices ranked by unit price into three categories (1, 2, 3) based on price, you can use a SQL query with the RANK() function.
The highest-priced products will be marked with a 1, the second-highest-priced products with a 2, and so on.
In SQL, you can use the RANK() function along with the ORDER BY clause to rank the products based on their unit prices. The RANK() function assigns a rank to each row in the result set based on the specified ordering criteria. Here's an example SQL query to achieve this:
In this query, products is the name of the table containing the product information. We select the product_name and unit_price columns from the table. The RANK() OVER (ORDER BY unit_price DESC) part ranks the rows based on the unit_price column in descending order, with the highest prices receiving a rank of 1.
The result of this query will include the product names, unit prices, and the assigned price ranks. You can then filter the results based on the price ranks to categorize the products into three categories (1, 2, 3) based on their price rankings.
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If 5 gallons of milk costs $12, how much should 1 pint cost?
Answer:
$1.50
Step-by-step explanation:
There are 8 pints in a gallon so divide 12 and 8 to find the cost of 1 pint
Reduce the expression, if possible, by cancelling the common factors.
HELP NOW What is the X and Y intercept of the graph of by+ax=c
Answer:
X int = (1,0) y int= (0,1)
Step-by-step explanation:
Ms.Coreas is trying to grow some Yeast in her lab for a Bread experiment… She starts with only 1 yeast cell and needs at LEAST 4,000… If the yeast cells multiply by 4 every day, how many yeast will she have in 5 days? please hurry it is due today
Answer:
21 cells
Step-by-step explanation:
4x5+1=21
9. You have worked all summer long and saved $1240.
You want to buy a car that costs $5400. How much
money, m, do you need before you can buy the car?
10.
at y
you
Answer:
the answer is 4160
Step-by-step explanation:
because if you subtract 5400 by the money you worked for that is your sum yw xx.
Answer:
Step-by-step explanation:
We have to subtract the amount of money that you have earned by the amount of money that the car costs.
$5400-$1240 is $4160
So you need $4160 more money to buy the car
(Good luck getting that much money XD)
Hope this helps!
.(a) Find the magnitude of an earthquake that has an intensity that is 30.25 (that is, the amplitude of the seismograph reading is 30.25 cm). (Round your answer to one decimal place.) (b) An earthquake was measured to have a magnitude of 4.6 on the Richter scale. Find the intensity of the earthquake. (Round your answer to one decimal place.)
a) The magnitude of the earthquake is approximately 3.0.
b) The intensity of the earthquake is approximately 1258.925.
(a) To find the magnitude of an earthquake based on the intensity, we can use the following equation:
Magnitude = log10(Intensity) + 1.5
Given that the intensity is 30.25, we can calculate the magnitude as follows:
Magnitude = log10(30.25) + 1.5 ≈ 1.48 + 1.5 ≈ 2.98
Rounding to one decimal place, the magnitude of the earthquake is approximately 3.0.
(b) To find the intensity of an earthquake based on the magnitude, we can use the following equation:
Intensity = 10^(Magnitude - 1.5)
Given that the magnitude is 4.6, we can calculate the intensity as follows:
Intensity = 10^(4.6 - 1.5) ≈ 10^3.1 ≈ 1258.925
Therefore, the intensity of the earthquake is approximately 1258.925.
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92 - 16b = 12 help please
Answer:
b = -6.5
Step-by-step explanation:
92 - 16b = 12
now you want to get the number(s) and variables on different sides
92 - 16b - 92 = -16b
12 + 92 = 104
-16b = 104
now divide each side by -16
-16b / -16 = b
104 / -16 = -6.5
b = -6.5
Please help!!! Brainliest answer! Thank you
Answer:
112
Step-by-step explanation:
angle = 1/2(sum of Intercepted Arcs)
BFE = 1/2( 72+152)
= 1/2 ( 224)
= 112
Evaluate 0.3 + y/2 when y = 10 and z =5
We have to evaluate the value of the expression 0.3y + y/z at y=10 and z =5 0.3y + y/z
= (0.3 X y) + y/z
Substituting the values of y and z in the above expression,
= (0.3 x 10 ) + 10/5
= 3 + 2
=5
So, the value of the given expression is 5
Have A Nice Day/Night
Barbara Brach earns $535 per week.She is single and claims 1 allowance.Use fit table below to find her Federal Income Tax witholding.Her state tax rate 2.8 percent and her local tax rate is 1.25 percent, both on gross earnings.Her medical insurance plan costs $2,550 per year, of which the company pays 70 percent.Medicare (1.45%) and Social Security (6.2%) are also deducted from her paycheck.What is her net pay?
MUST SHOW WORK
Answer:
23
Step-by-step explanation:
A worker-machine operation was found to involve 3.5 minutes of machine time per cycle in the course of 40 cycles of stopwatch study. The worker's time averaged 2.0 minutes per cycle, and the worker was given a rating of 110 percent (machine rating is 100 percent) Midway through the study, the worker took a 10-minute rest break. Assuming an allowance factor of 10 percent of work time which is applied only to the worker element (not the machine element), determine the standard time for this job. (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Standard time___ minutes
The standard time for this job is 253 minutes.
To determine the standard time for this job, we need to calculate the total time for both the worker and the machine, taking into account the rest break and the allowance factor.
First, let's calculate the total time for the machine. We know that it takes 3.5 minutes of machine time per cycle, and there were 40 cycles in total. So, the total machine time is 3.5 minutes/cycle * 40 cycles = 140 minutes.
Next, let's calculate the total time for the worker. We know that the worker's time averaged 2.0 minutes per cycle, and there were 40 cycles in total. So, the total worker time is 2.0 minutes/cycle * 40 cycles = 80 minutes.
Now, let's calculate the rest break time. The worker took a 10-minute rest break midway through the study.
Next, let's calculate the allowance time. The allowance factor is 10 percent of the work time, which is applied only to the worker element. The work time is the total time for both the worker and the machine, which is 140 minutes for the machine + 80 minutes for the worker + 10 minutes for the rest break = 230 minutes. Therefore, the allowance time is 10 percent of 230 minutes = 23 minutes.
Finally, let's calculate the standard time for this job. The standard time is the total time for both the worker and the machine, including the rest break and the allowance time. So, the standard time is 230 minutes (work time) + 23 minutes (allowance time) = 253 minutes.
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a card is drawn from a standard deck and replaced. after the deck is shuffled, another card is pulled. what is the probability that the first card drawn is a heart and the second card is a spade? (enter your probability as a fraction.)
If a card is drawn from a standard deck and replaced. after the deck is shuffled, another card is pulled. Then the probability that the first card drawn is a heart and the second card is a spade is 1/16.
The probability of drawing a heart on the first card is 1/4 since there are 13 hearts out of a total of 52 cards in a standard deck.
After replacing the card and shuffling the deck, the probability of drawing a spade on the second card is also 1/4 since there are 13 spades out of a total of 52 cards in the deck (assuming the deck is well-shuffled).
To find the probability of both events happening (drawing a heart and then a spade), we multiply the individual probabilities together:
Probability = (1/4) * (1/4) = 1/16
Therefore, the probability that the first card drawn is a heart and the second card is a spade is 1/16.
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Question 4 of 10
Solve the inequality for x and identify the graph of its solution.
|x+31 > 2
Choose the answer that gives both the correct solution and the correct graph.
A. Solution: x < -5 or x>-1
HI
10
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
B. Solution: x>-5 and x < -1
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
C. Solution: x> 1 and x<5
H||$11
-2 -1 0 1 2 3 4
D. Solution: x<-5 or x>-1
o + +
5 6 7 8
H||$||
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2
The correct answer is option D. Solution: x < -5 or x > -1, and the correct graph would have open circles at -33 and -29 with shading to the left of -33 and to the right of -29 on a number line.
To solve the inequality |x+31 > 2|, we need to consider two cases: when the expression inside the absolute value is positive and when it is negative.
Case 1: x+31 > 2
In this case, we can solve the inequality by subtracting 31 from both sides:
x + 31 - 31 > 2 - 31
x > -29
Case 2: -(x+31) > 2
To solve this case, we need to flip the inequality sign when multiplying or dividing by a negative number:
x + 31 < -2
x < -33
The solution to the inequality is x < -33 or x > -29.
Now, let's analyze the given answer choices and identify the correct solution and graph:
A. Solution: x < -5 or x > -1
This answer choice does not match the solution we derived, so it is incorrect.
B. Solution: x > -5 and x < -1
This answer choice does not match the solution we derived, so it is incorrect.
C. Solution: x > 1 and x < 5
This answer choice does not match the solution we derived, so it is incorrect.
D. Solution: x < -5 or x > -1
This answer choice matches the solution we derived (x < -33 or x > -29), so it is correct.
Based on the correct solution, the graph would have an open circle at -33 and -29 on a number line, indicating that the values are not included in the solution set. The line would be shaded to the left of -33 and to the right of -29.
The correct answer is option D. Solution: x < -5 or x > -1, and the correct graph would have open circles at -33 and -29 with shading to the left of -33 and to the right of -29 on a number line.
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