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The required approximate sample mean salary is $17750.725.

To approximate the sample mean, we first need to find the midpoint of each salary range and then multiply it by the number of employees in that range to get the total salary for that range. Then we can sum the total salaries and divide by the total number of employees to get the sample mean.

The midpoint of each salary range can be found by taking the average of the lower and upper bounds of the range. For example, the midpoint of the first range (3.001-10,000) is (3.001 + 10,000) / 2 = 5001.5005.

Using this approach, we can construct the following table:

Salary (5) Employees Midpoint Total Salary

3.001-10,000 14 5001.5005 70021.007

10.001-15,000 16 12500.5000 200008.000

15.001-20,000 14 17500.5000 245007.000

20.001-25.000 17 22500.5000 382511.500

25.001-30.000 19 27500.5000 522510.500

To find the sample mean, we add up the total salaries and divide by the total number of employees:

[tex]$\bar{x} = \frac{\sum_{i=1}^n x_i}{n} = \frac{70021.007 + 200008.000 + 245007.000 + 382511.500 + 522510.500}{14 + 16 + 14 + 17 + 19} \approx 17750.725$[/tex]

Therefore, the approximate sample mean salary is $17750.725

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Answer:

15: x < 1

16: x ≥ -2

17: x > 0

18: x ≤ 3

19: x equals the number of people in the auditorium

x ≤ 1200

Answer:  E is located at (-2, 6)

Explanation:

The rule for reflecting over y = x is [tex](x,y) \to (y,x)[/tex]

The x and y coordinates swap places.

Point E' is located at (6, -2) so that means point E must be located at (-2, 6)

Answer:

(-1, 2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Height of the first balloon:

Height of the second balloon:

Correct option is A.

Answer:

the answer is A

Step-by-step explanation:

you said that the first balloon was falling at a rate of 40 feet per minute.that would be 3,000-40m. then you said the second balloon was rising at a rate of 50 feet per minute. that would be 1,200+50m. ther is your answer

Answer:

4,left,4,down

Step-by-step explanation:

Answer:

4 units to the left and 4 units down

Step-by-step explanation:

(1,5)-4 units to the left is x value of -3

and (-3,5) 4 units down is y value of 1

Answer:

$160

Step-by-step explanation:

These discounts would be added one after the other. Therefore, we would first apply the first discount of 1/3 to the original price. Since it is a discount it means that from the original price we would pay 2/3. We do this by multiplying this fraction by the original price like so...

$320 * (2/3) = $213.33

Now we add the second discount of 1/4. Again, since it is a discount it means that we would be paying 3/4 of the current price.

$213.33 * 3/4 = $160

Finally, we can see that Sally would have ended up paying $160 for the TV.

This question was not properly written

Complete Question

Every time Luisa bakes a batch of brownies she uses 1/2 cup of chocolate if she has 3/2 cups of chocolate remaining how many batches of brownies can Luisa make

Answer:

3 batches of brownies from 3/2 cups of chocolate left.

Step-by-step explanation:

From the question, we know that:

1/2 cups of chocolate = 1 batch of brownies

3/2 cups of chocolate = x

Cross Multiply

1/2 × x = 3/2

x = 3/2/1/2

x = 3/2 × 2/1

x = 3 batches.

Approximately as a whole number , he can make 3 batches of brownies from 3/2 cups of chocolate left

Answer:

24.5

Step-by-step explanation:

Since 180 is double 90 divide 45 by 2 and you'll get 24.5

Answer:

Step-by-step explanation:

A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x​, is found to be 108​, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 96​% confidence interval about μ if the sample​ size, n, is 17. ​(b) Construct a 96​% confidence interval about μ if the sample​ size, n, is 12. ​(c) Construct a 90​% confidence interval about μ if the sample​ size, n, is 17. ​(d) Could we have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed?

Answer:

Step-by-step explanation:

Answer:

49.27

Step-by-step explanation:

[tex]\frac{x}{44} = \frac{113}{100}[/tex] - this is what you're going to set up. 113 is 100%+13%, which is what you need to solve the question, since we have 44 set up as our base size (and equal to 100%). Cross multiply so you are left with 100x=4927, then solve for X, and you get our answer of 49.27. Round accordingly.

Answer: -0.619

Step-by-step explanation:

Answer:

6 and 0

Step-by-step explanation:

When we have f(-3) and f(6), that means we plug -3 and 6 in for x to solve for f(x):

f(-3) = (-2/3) * (-3) + 4 = 2 + 4 = 6

f(6) = (-2/3) * 6 + 4 = -4 + 4 = 0

The answers are thus 6 and 0.

Answer: I think it’s the 4th one

Step-by-step explanation:

Answer:

2nd one

Step-by-step explanation:

Shaded below means less than

Answer:

3/4

Step-by-step explanation:

take rise / run or find 2 points and apply slope formula

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

[tex]m=\frac{3}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from the graph.

Point (0, -1)

Point (4, 2)

Step 2: Find slope m

And we have our final answer!

Answer:

42

Step-by-step explanation:

2x+204=180

2x= -24

x= -12

-12+54=42

Solve for y.

8x−4y=16

-4y = -8x + 16

y = (-8x + 16)/-4

y = (-8x)/-4 + (16/-4)

y = 2x - 4

We only need two points to graph linear equations.

Now let x be 0 and solve for y.

y = 2(0) - 4

y = -4

This leads to the point (0, -4).

We need another point.

Let y = 0 and solve for x.

0 = 2x - 4

4 = 2x

4/2 = x

2 = x

This leads to the point (2,0).

Plot these two points on the xy-plane and connect the points with a straight line.

I'll let you do that.

Understand?

84 degrees

Step-by-step explanation:

180=60+36+x

180=96+x

-96 -96

x=84

Answer:

0.02987 %

Step-by-step explanation:

2.987 / 100 = 0.02987 %

Answer:

The slope is m = -1

Step-by-step explanation:

Use the slope formula:

m=y2-y1/x2-x1

= -0-(-2)/-2-0

= 2/-2

= -1

Hope this helps!!!

Answer:

slope is -1

Step-by-step explanation:

Given:

A container holds 4 gallons of lemonade.

A large lemonade contains 16 ounces.

To find:

The number of large lemonades that the restaurant can cell before they ran out of lemonade.

Solution:

We know that,

1 gallon = 128 ounces

4 gallon = 512 ounces

So, a container holds 512 ounces of lemonade.

A large lemonade contains 16 ounces. So,

[tex]\text{Number of large lemonades}=\dfrac{\text{Total lemonade in container}}{\text{Lemonade in a large container}}[/tex]

[tex]\text{Number of large lemonades}=\dfrac{512}{16}[/tex]

[tex]\text{Number of large lemonades}=32[/tex]

Therefore, the required number of lemonades is 32.

Answer:

I think 3

Step-by-step explanation:

I'm not totally for sure about it though. sorry :(

Answer:

Triangle sum theorem

Step-by-step explanation:

Answer:

f(5)=12

Step-by-step explanation:

Replace all x by 5

f(5)=3(5)-2

multiply 3 and 5 together

f(5)=15-2

Simplify:

f(5)=13

Hope this helps!

Answer:

[tex]f(5) = 3(5) - 2 = 15 - 2 = 13[/tex]

Step-by-step explanation:

Hello. Just exchange x with 5.

Answer:

5841 minutes

Step-by-step explanation:

first divide 18 by 4 giving you 4.5 minutes

next add the page number of all the books (excluding The Hunger Games) giving you 1298 pages

and finally multiply 4.5 by 1298 giving you 5841

hope this helped!

Answer:

The correct answer is  1 and 3/8

Step-by-step explanation:

HAVE A GOOD DAY!

Answer:

2 3/8 pizza is left.

Step-by-step explanation:

3-1 5/8=2 3/8

Answer:

C) x ≥ 0 and y ≥ 0

0.5x + y ≤ 500

x + 1.5y ≤ 800

Step-by-step explanation:

A children clothing manufacturer has 500 yards of material to make shirts and skirts. A shirt requires 0.5 yards of fabric, and a skirt requires 1 yard of fabric. It takes 1 hour to make a shirt and 1.5 hours to make a skirt. The manufacture has 800 hours available to make shirts and skirts.

Which system of inequalities represent the constraints for this situation? Let x = number of shirts, and let y = number of skirts.

A) x ≤ 0 and y ≤ 0

0.5x + y ≤ 800

x + 1.5y ≤ 500

B) x ≤ 0 and y ≤ 0

0.5x + y ≥ 800

x + 1.5y ≥ 500

C) x ≥ 0 and y ≥ 0

0.5x + y ≤ 500

x + 1.5y ≤ 800

D) x ≥ 0 and y ≥ 0

0.5x + y ≥ 500

x + 1.5y ≥ 800

number of shirts,x and number of skirts,y must be greater than 0 since it can not be a negative value

x ≥ 0 ; y ≥ 0

Inequality for number of yards

x = 0.5 yards ; y = 1 yard

Total yards = 500

The inequality is

0.5x + y ≤ 500

Inequality for hours of production

x = 1 hour ; y = 1.5 hours

Total available hours for production = 800

The inequality is

x + 1.5y ≤ 800

Therefore, the system of inequalities which represent the constraints for this situation is

x ≥ 0 ; y ≥ 0

0.5x + y ≤ 500

x + 1.5y ≤ 800

x ≥ 0 and y ≥ 0

0.5x + y ≤ 500

x + 1.5y ≤ 800

When graphed the system shows that the manufacturer should make 200 shirts and 400 skirts for a maximum profit.