At a customer service call center for a large company, the number of calls received per hour is normally distributed with a mean of 60 calls and a standard deviation of 10 calls. What is the probability that during a given hour of the day there will be between 53 calls and 61 calls, to the nearest thousandth?

Answer:

5.6 x [tex]10^{4}[/tex]

Step-by-step explanation:

7 x 8 = 56

[tex]10^{-2}[/tex] x [tex]10^{5}[/tex] = [tex]10^{3}[/tex]

56 x [tex]10^{3}[/tex]

5.6 x [tex]10^{4}[/tex]

Answer:

The answer is

[tex]5.6 x 10^{4}[/tex]

Answer:

A. (12= 6) + 7 = 12

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Find two easy-to work with points

-3,2    and   -1,3  

slope, m = (y1-y2 ) / ( x1-x2)  

                  (2-3) / ( -3 - -1) = -1/(-2)  = 1/2  

( it does not matter which point you select as   x1 ,y1   or  x2, y2 )

Answer:

4

Step-by-step explanation:

4 (4) + 2 = 18

16 + 2 = 18

18 = 18

Answer:

Step-by-step explanation:

1:

Solve 4(1) + 2 = 18:

1 is false.

2:

Solve 4(2) + 2 = 18

2 is false.

3:

Solve 4(3) + 2 = 18

3 is false.

4:

Solve 4(4) + 2 = 18

4 is true.

Correct answer is 4.

Answer:

Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula,

Answer: C

Step-by-step explanation:

Answer:          Double= 314m2

AStep-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

please see the photo above for detailed analysis.

Answer:

Step-by-step explanation:

Change a=2b to y=2x.

a/y = # of shirts Wanda has
b/x = # of shirts Will has.

Will has double the amount Wanda has each time.

The average is written as 0.324

To change it to a percent multiply it by 100

0.324 x 100 = 32.4%

Answer: 32.4%

Answer:

See below ~

Step-by-step explanation:

Question 1

2/3 _ 7/12

Question 2

5/8 _ 3/6

#1

The sign should be

#2

So

The inequality that can be used to represent the situation is x + 15 ≥ y

Let

The inequality:

x + 15 ≥ y

This means, the number of pages read plus 15 pages read tonight is greater than or equal to the total number of pages in the textbook.

Learn more about inequality:

https://brainly.com/question/25275758

Answer:

There is a strong correlation with one outlier and this forms a pattern going up

Trust me I had trouble and my teacher showed me how to get it.

Answer:

There are 6 points and one outlier in this graph. Excluding the lowest and highest points, four dots are left to set up the trend line. Among these points, we can see the dots lowering when moving to the right side.

This means the trend line is negative.

For correlation, it is clear that the four dots are well organized in descending manner. Because of this, the graph will still have a high negative correlation even with the outlier(s). Therefore the plots in this graph have a strong negative correlation.

[tex]~~~~~(x+5)^2 = 16\\\\\implies x+5 = \pm\sqrt{16}\\\\\implies x+5 = \pm 4\\\\\implies x =-5 \pm 4\\ \\\implies x = -9~~ \text{or}~~~x=-1[/tex]

Answer:

[tex]y = - 5x + 17[/tex]

Step-by-step explanation:

[tex]i n \: slope \: intercept \: form \: y = mx + c \\ for \: the \: \: liear \: equaton = 5x + y = 17 \\ y = - 5x + 17[/tex]

Answer:

48, 55, 73

Step-by-step explanation:

A Pythagorean triple are integers that can be entered in the Pythagorean theorem and be true

A common example is 3, 4, 5 because

[tex]3^{2} +4^{2} =5^{2}[/tex]

So here, you want to plug in the 8 for the x in the equation and 3 for the y

Then, what you are looking for is when the equation looks like

[tex]a^{2} + b^{2} = c^{2}[/tex]

So:

[tex](8^{2}+3^{2})^{2} = (8^{2} - 3^{2})^{2} + (2(8)(3))^{2}[/tex]

Simplify:

[tex]73^{2} = 55^{2} + 48^{2}[/tex]

We can see that the numbers in here follow the pythagorean theorem, where c = 73, b = 55, and a = 48

So the triple is 48, 55, and 73

Answer:

48,55,73

Step-by-step explanation:

14.    People who buy a pair of shoes from the store

15    did not include those who visited the store, but did not buy a pair of shoes

16.    every 5th buyer

Answer:

x=4

y=3

Step-by-step explanation:

substitute into one of the equations

9x+17=x+49

x=4

y=4+49

y=53

Answer:

D.11 in

Step-by-step explanation:

isosceles triangles have two congruent sides

The missing side length is congruent with the longer side ( this is pretty obvious )

If the longer side has a length of 11in and the missing side is congruent to the longer side then the missing side length equals 11 in

Answer:

Step-by-step explanation:

Use the slope formula.

SLOPE:

[tex]:\Longrightarrow \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

[tex]\sf{\dfrac{-19-1}{0-4}=\dfrac{-20}{-4}=\boxed{\sf{5}}[/tex]

The slope is 5.

I hope this helps. Let me know if you have any questions.

Answer:

60m2

Step-by-step explanation:

Answer:

  (d)  68 m²

Step-by-step explanation:

The figure can be decomposed into two congruent trapezoids, each with bases of 12 m and 5 m, and height 4 m. The formula for the area of a trapezoid can be used.

__

  A = 1/2(b1 +b2)h . . . . . area of one trapezoid with bases b2, b2; height h

  A = 1/2(12 m +5 m)(4 m) = 34 m²

The area of the hexagon is double this:

  hexagon area = 2 × 34 m² = 68 m².

Answer:

A.11

Step-by-step explanation:

5×5+6-4*（2+3）=25+6-4*5=11

Answer:

1 4/8 or 1 1/2

Step-by-step explanation:

1 whole of a pizza is 8/8 and then add 4 slices left from the 12 slices,

so they sold 1 1/2 pizza

Answer:

Look to explanation

Step-by-step explanation:

The question says the original mosaic  is surrounded by a 3 inch by 5 inch frame.  The length has 5 squares & the width has 3 squares, so that means each square is an inch long.

1.  Perimeter is adding up how long all the sides are.  So for the original you add 3 + 5 + 3 + 5 = 16 inches

2.  Area is length x width, so we multiply 3 x 5 = 15 inches squared

3.  Since each square is an inch, to find the length we add up all the squares & we get 10.  Then we do the same for the width & get 6.  To figure perimeter, we add up all the sides  10 + 6 + 10 + 6 = 32 inches

4.  Area is length x width, so 10 x 6 = 60 inches squared

5.  For the original we needed 16 inches of steel.  For the larger one, we needed 32 inches.  32 inches is 2x bigger than 16.

6.  For the original we had an area of 15 inches squared.  For the larger one we had 60 inches squared.  60 is 4x bigger than 15.

Answer:

$90

Step-by-step explanation:

To find commission, you multiply the amount made by the rate of which they can earn.

300*.3 (As this is a 30 percent commission)

Answer:

well if it's 8 on bottom that means it has to be 8 on top and the right side add these together and you have perimeter

The values of a through e that make these two relations inverses of each other. a = b = c = d = e = are:

This refers to the function of a function f that undoes the operation of f. The inverse of f exists if and only if f is bijective. It is also known as reciprocals.

Now, if we assume that y = g(x) and y = h(x) are inverse of each other, where g(x) and h(x) are two different functions.

Then if a = g(b) then b = h(a).

Now, in the given table from the complete question, we would have

a = - 3.8, b = - 2.6, c = 1.7, d = 4.4 and e = 1.0 as the values of the function in inverse.

Read more about inverses here:
https://brainly.com/question/14379760

Answer:

Step-by-step explanation:

The volume formula

Given

Find the volume by substituting the values into formula

Area of base=8.15cm²

Volume