An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use a computer for most of the workday. The study will
investigate the difference in back problems for workers who stand and workers who sit. A group of 68 volunteers have agreed to participate in the nine-month study. Half the group
is randomly assigned to work while standing, and the other half is assigned to work while sitting. At the end of the study, the mean number of back problems between the two
groups will be calculated. The officer will use the results to estimate the difference in the mean number of back problems between those who work while standing and those who
work while sitting
Which of the following is an appropriate inference procedure for the study?

Answer:

y = (1/2)x - (15/2)

Step-by-step explanation:

goal: to rearrange the expression such that it is in the form

y = f(x); where f(x) is an expression in terms of x

given:

x - 2y = 15      (subtract x from both sides)

-2y = 15 - x    (multiply both sides by -1 to make left side positive)

2y = -15 + x   (divide both sides by 2 and rearrange)

y = (1/2)x - (15/2)

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

1. 55.5

2. 54.5

Step-by-step explanation:

Use division to convert the fraction to a decimal:

1/4 = 1 ÷ 4 = 0.25

Multiply by 100 to get percent value:

0.25 × 100 = 25%

Answer:

1. 0.56

percentage: 56%

2. 0.55

percentage: 55%

Step-by-step explanation:

5/9 to decimal= 0.56

to percentage multiply by 100

same for the second one

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any n-gon is 360°

The volume of the apple is approximately 832.2 cubic centimeters.

The following equation determines a sphere's volume:

V = (4/3)πr³

When V denotes the sphere's volume, r denotes its radius, and denotes the mathematical constant pi (approximately 3.14). By seeing the sphere as an unlimited number of little cylinders piled on top of one another, the formula may be created. Each cylinder has a height equal to the sphere's shell thickness and a radius equal to the sphere's radius.

The volume of a sphere:

V = (4/3)πr³

Here, r = d/2 = 11.9 cm / 2 = 5.95 cm

Substituting the values we have:

V = (4/3)π(5.95 cm)³ ≈ 832.2 cm³

Therefore, the volume of the apple is approximately 832.2 cubic centimeters.

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Answer:

8900

Step-by-step explanation:

25x89=2225

2225/(1/4)= 8900

The Equivalent ratio to 8/2 is 4/1, 24/6, 32/8 and 48/12.

We have,

Cylinder and prism.

Here we have to find the equivalent ratio to 8/2.

First simplifying the given ratio as

8/2

= (4 x 2)/2

= 4 /1

Now, some more ratios equivalent to 8/2.

1. 8/2 x 3/3 = 24/ 6

2. 8/2 x 4/4 = 32/8

3. 8/2 x 6/6= 48/12

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There are 4 cups of brown sugar are required for every 12 cups of white sugar.

A recipe calls for 2 cups of brown sugar for every 6 cups of white sugar. We can set up a proportion to find the relationship between the two quantities:

2 cups brown sugar / 6 cups white sugar = x cups brown sugar / 12 cups white sugar

To find the number of cups of brown sugar required for 12 cups of white sugar, we can cross-multiply and then solve for x:

2 cups brown sugar × 12 cups white sugar = 6 cups white sugar × x cups brown sugar

24 cups brown sugar = 6x cups brown sugar

x = 24/6

x = 4

So, 4 cups of brown sugar are required for every 12 cups of white sugar.

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The value of the ratio based on the angle illustrated is 1:12.

From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:

= 360° - 330°

= 30°

The equivalent expression based on the angle will be:

= 30/360

= 1/12

= 1:12

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The data set is approximately periodic with a period of 3 and an amplitude of about 7.5.

The period is the length of time it takes for the data to repeat itself. In this case, the data repeats itself every 3 hours. The amplitude is the distance between the highest and lowest values in the data set. In this case, the amplitude is about 7.5 cars.

Hour | Number of cars

------- | --------

1     | 90

2     | 52

3     | 76

4     | 75

5     | 91

6     | 104

7     | 89

8     | 105

9     | 119

10    | 103

11    | 121

12    | 135

As you can see, the data repeats itself every 3 hours. The highest value in the data set is 135 cars, and the lowest value is 52 cars. The difference between these two values is 83 cars, which is about 7.5 times the average number of cars (90 cars). Therefore, the amplitude of the data set is about 7.5 cars.

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Answer:

Unit rate = 220 calories

Step-by-step explanation:

In order to find the unit rate, you simply have to divide the total number of calories (1760) by the number of servings (8).

1760/8=220.

Therefore, the unit rate is 220 calories.

Correct Question:

Type the correct answer in the box. Use numerals instead of words. Consider this expression. \(\sqrt{a^2} - 7 + |b|\) When a = 2 and b = -4, the value of the expression is​

Answer:

\(\sqrt{a^2} - 7 + |b| = -1\)

Step-by-step explanation:

Given

\(a=2\)

\(b = -4\)

Required

Determine \(\sqrt{a^2} - 7 + |b|\)

To solve this, we simply substitute the values of a in the given expression

\(\sqrt{a^2} - 7 + |b|\)

\(\sqrt{a^2} - 7 + |b| = \sqrt{2^2} - 7 + |-4|\)

Express 2² as 4

\(\sqrt{a^2} - 7 + |b| = \sqrt{4} - 7 + |-4|\)

Express square root of 4 as 2

\(\sqrt{a^2} - 7 + |b| = 2 - 7 + |-4|\)

\(|-4| = 4\)

So, we have

\(\sqrt{a^2} - 7 + |b| = 2 - 7 + 4\)

\(\sqrt{a^2} - 7 + |b| = -1\)

Hence, the result of the expression is -1

Answer:

C. Natasha has been charged by $1.85 for her purchase.

Step-by-step explanation:

Natasha has been over charged by $1.85 for her purchase. The correct option is - c. Natasha has been over charged by $1.85 for her purchase

From the question, we are to determine if Natasha has been billed correctly for her purchase

From the given information,

She purchased  

3 hard cover books for $19.95 each

3 × $19.95 = $59.85

and

1 book on tape for $17.43

1 × $17.43 = $17.43

Total purchase = $59.85 + $ 17.43

= $77.28

But, the site says that taxes paid by the customer are 7.25% of the total purchase price

∴ The tax Natasha would pay = 7.25% × $77.28

= 0.0725 × $77.28

= $5.60

Add to the total purchase,

Present bill = $77.28 + $5.60

Present bill = $82.88

Then, she selects standard shipping.

According to the shipping charges,

For amount of purchase between $50 - $100, Standard shipping costs $6.35

∴ Total bill = $82.88 + $6.35

Total bill = $89.23

But, the company bills her credit card $91.08

Since, $91.08 is more than her total bill, $89.23, then, Natasha has been over charged.

$91.08 - $89.23 = $1.85

Hence, Natasha has been over charged by $1.85 for her purchase. The correct option is - c. Natasha has been over charged by $1.85 for her purchase.

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Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

Answer:

Step-by-step explanation:

Not completly sure what your looking for but it X would be any number lower then 12 (11,10,9,8,7,6,5,4,3.2,1)

Answer:

1-11

Step-by-step explanation:

its less than 12!

hope this is correct! c:

Answer: slope (m) = - 9/5

Step-by-step explanation:

Find two points = (-4,5) (1, -4)

The slope going uphill is positive and downhill is negative.

Slope m = (y-y)/(x-x)

(5- -4)/-4-1 = - 9/5

Also, start in one point go straight up or down counting, and then go left or right to the other point counting.

Answer:

wn work

Step-by-step explanation:

Answer: 6x^3

Step-by-step explanation:

The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.

The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.

Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.

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A excel spreadsheet computes likelihood of various upsides of objectives scored in a game utilizing the POISSON.DIST capability. The equation for x=2, 5 and x>3 objectives is given.

In the Succeed calculation sheet, Segment A rundowns the various upsides of x that we need to track down the probabilities for.

Segment B contains the relating equation to ascertain the likelihood utilizing the POISSON.DIST capability.

The recipe in cell B1 works out the likelihood of scoring 2 objectives in a game, P(x = 2), utilizing the POISSON.DIST capability with the contentions 2, 3.3, and Misleading.

The equation in cell B2 computes the likelihood of scoring 5 objectives in a game, P(x = 5), utilizing the POISSON.DIST capability with the contentions 5, 3.3, and Misleading.

The recipe in cell B3 works out the likelihood of scoring multiple objectives in a game, P(x > 3), utilizing the POISSON.DIST capability with the contentions 3, 3.3, and Valid. The Genuine contention works out the combined conveyance capability, which gives the likelihood of getting a worth not exactly or equivalent to the contention. To track down the likelihood of getting a worth more prominent than the contention, deduct the combined dissemination capability from 1.

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Answer:

d

Step-by-step explanation:

Answer:

45 degrees, 135 degrees, 225 degrees, 315 degrees

Step-by-step explanation:

x = 45 degrees + k * 90 degrees

t^3-4t^2-.5t+2=0

t = 4

t = 2^.5/2

cosx=2^.5/2

Okay, here are the steps to find the p-value:

1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)

2) The test statistic for Georgia is 1.75

3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.

4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).

5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)

6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.

7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.

So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.

Let me know if you have any other questions!

Okay, here are the steps to find the p-value:

1) The nationwide proportion of Americans who invest in the stock market is 55% (0.55)

2) The test statistic for Georgia is 1.75

3) To calculate the p-value, we need to know the degrees of freedom (df) and the critical value of the test statistic.

4) The df = 1, since we're comparing a single proportion (Georgia) to a fixed value (national average).

5) The critical value at df = 1 and 95% confidence is 3.84 (for a two-tailed test)

6) Since the test statistic of 1.75 is less than 3.84, we look up 1.75 in tables to find the p-value.

7) For a test statistic of 1.75 and df = 1, the p-value is 0.1860.

So the p-value to test if the proportion of Georgians who invest in the stock market is different than the nationwide average is 0.1860.

Let me know if you have any other questions!

Answer:

impossible

Step-by-step explanation:

17 divided by 3 is a number with a remainder

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

Step-by-step explanation:

4

Answer:

1/6

Step-by-step explanation:

He has 2/3 of a pie, and half of that is gonna be 1/3. If he gives away 1/3, 2/3-1/3=1/6 left because its not a fraction of his original piece that the question is asking for, but the whole pie

Ken will receive a total dividend payment of $75 for that quarter.

We have to given that,

Ken owns 500 shares of LaceNBrace, which makes hockey equipment.

And, He receives a notice stating the company will be paying $0.15 dividend per share.

Now, For the total dividend payment Ken receives for that quarter, we can multiply the dividend per share by the total number of shares he owns:

= $0.15 per share x 500 shares

= $75

Therefore, Ken will receive a total dividend payment of $75 for that quarter.

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The coordinates of the preimage is gotten from the graph and then used to solve for the coordinates of the image as shown

preimage coordinates                          image coordinates

( -5, 6 )                                                     ( -1, -2 )

( 3, 6 )                                                        (7, -2 )

( 3, 1 )                                                        ( 7, -7 )

The question is asking to take the image from the preimage.  The translation include:

4 units to the right: adding 4 units to the x axis

preimage coordinates                           image coordinates

( -5, 6 )                                                      ( -1, 6 )

( 3, 6 )                                                        (7, 6 )

( 3, 1 )                                                         ( 7, 1 )

8 units down: subtracting 8 units from the y axis

preimage coordinates                          image coordinates

( -5, 6 )                                                      ( -1, -2 )

( 3, 6 )                                                        (7, -2 )

( 3, 1 )                                                         ( 7, -7 )

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