A company's sales force makes 400 sales calls, with 0.25 probability that a sale will be made on a call. What is the probability that between 75 (inclusive) and 95 (inclusive) sales will be made? Enter your answer as a decimal value, rounded to 4 decimal places.

Answer:

2/3 = 16/24

5/8 = 15/24

Step-by-step explanation:

2/3= 16/24

5/8= 15/24

because if you multiply across [tex]\frac{2}{3}[/tex] by [tex]\frac{8}{8}[/tex] equal [tex]\frac{16}{24}[/tex]

and if you multiply across [tex]\frac{5}{8}[/tex] by [tex]\frac{3}{3}[/tex] equal [tex]\frac{14}{24}[/tex]

Answer:

A. -2

Step-by-step explanation:

Hope this helps

Answer:

A)

Step-by-step explanation:

[tex]x+62=60[/tex]

[tex]-2+62=60[/tex]

Answer: Im not sure about a, but maybe d

Step-by-step explanation:

Solution :

P(2 states or more | college degree)

[tex]$=\frac{\text{P( 2 states or more and college degree)}}{\text{P(college degree)}}$[/tex]

Total number of people = 58

The number of people who lived in two states or more than two states and also have a college degree = 18

Therefore,

[tex]$\text{P(2 states or more states and college degree)} = \frac{18}{58}$[/tex]

The number of people who have a college degree = 20

So, [tex]$\text{P(college degree)} = \frac{20}{58}$[/tex]

Thus,

[tex]$\text{P(2 states or more/college degree)}=\frac{\frac{18}{58}}{\frac{20}{58}}$[/tex]

                                                      [tex]$=\frac{18}{20}$[/tex]

                                                      = 0.900  

Answer:

15.8% = 16%

Step-by-step explanation:

The change (expected result - actual result):

95-80 = 15

Now we divide it by the expected 95 minutes and multiply by 100 to get a percentage.

15/95*100 = 15.8% = 16%

Answer:

Mr. Jones paid $192 in sales tax.

Step-by-step explanation:

8 x 2400 = 19200

19200/100 = 192

Answer:

11 hours

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

3.24538 is rational

Answer:

This picture represents soldiers raising the flag after the battle of Iwo Jima.

Step-by-step explanation:

This famous photograph is titled Raising the Flag on Iwo Jima. It shows six soldiers raising the flag after the Battle of Iwo Jima on Mount Suribachi during the final parts of the war in the Pacific.

Answer:

The size of the investment after 40 years is of $74,872.

Step-by-step explanation:

Continuous compounding:

The amount of money, in continuous compounding, after t years, is given by:

[tex]y(t) = y(0)(1+r)^t[/tex]

In which y(0) is the initial investment and r is the interest rate, as a decimal.

You decide to continuously invest $5000 of your income each year in a risk-free investment with a 7% yearly interest rate compounded continuously.

This means that [tex]y(0) = 5000, r = 0.07[/tex]. So

[tex]y(t) = y(0)(1+r)^t[/tex]

[tex]y(t) = 5000(1+0.07)^t[/tex]

[tex]y(t) = 5000(1.07)^t[/tex]

What is the size of your investment after 40 years?

This is y(40), that is, y when t = 40. So

[tex]y(t) = 5000(1.07)^t[/tex]

[tex]y(40) = 5000(1.07)^{40}[/tex]

[tex]y(40) = 74872[/tex]

The size of the investment after 40 years is of $74,872.

Answer:

This ball holds 904.78 cubic inches of air.

Step-by-step explanation:

Volume of the ball:

A ball has a spherical format. The volume of a sphere is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In which r is the radius, which is half the diameter.

Val measures the diameter of a ball as 12 inches.

This means that [tex]d = \frac{12}{2} = 6[/tex]

How many cubic inches of air does this ball hold?

[tex]V = \frac{4\pi r^3}{3}[/tex]

[tex]V = \frac{4\pi*6^3}{3}[/tex]

[tex]V = 904.78[/tex]

This ball holds 904.78 cubic inches of air.

Answer:  Last one is right  C = 5 / 9 (F-32)

Step-by-step explanation: Solving  C from equation F = (9/5)C + 32 :

1. multiply by 5     you get   5F = 9C + 160  and 5(F-32) = 9C

2. divide by 9 you get (5/9) (F-32) = C

9514 1404 393

Answer:

  B) obtuse

Step-by-step explanation:

I like to answer these questions using a "form factor" (f) computed as ...

  f = a² + b² - c² . . . . . . . where a, b, c are side lengths with c the longest

Then ...

  f = 9² +12² -17² = 81 +144 -289 = -64

The negative value indicates an obtuse triangle (largest angle more than 90°).

__

f = 0 indicates a right triangle; f > 0 indicates an acute triangle.

_____

Additional comments

You may recognize that the two short sides have the ratio 9:12 = 3:4. You know a (3, 4, 5) triangle is a right triangle, so this triangle would be a right triangle if the longest side were 15. Since it is 17, you know the largest angle is more than 90°.

This "form factor" is related to the angle computation you would do to find the measure of the largest angle using the law of cosines. That angle is ...

  C = arccos(f/(2ab)) = arccos(-64/216) ≈ 107.2°

Since the factor (2ab) is always positive, the sign of "f" tells you the sign of the cosine of the angle. It is negative for angles greater than 90°.

Answer:

we have

Cos (a+b)=Cos aCosb-SinaSinb

for

Cos (a+a)=Cos aCosa-SinaSina=Cos²a-Sin²a

is a required answer.

Answer:

Question 1

Shannon: 882/2688

Trey: 1008/2688

Robert: 798/2688

Callie: 882/2688

Lani: 840/2688

Question 2

The greatest is 1008/2688 students.

The least is 798/2688 students.

The median of the data is 882/2688 students.

The mode of the data is 882/2688 students.

So, use the inference of 882/2688 students to describe the number of students at the school who prefer pop music.

Step-by-step explanation

Question 1

Shannon: Because 21/64 in Shannon's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.

Trey: Because 24/64 in Trey's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 24 gets us 1008/2688 who might prefer pop music in the entire school without surveying all of the students.

Robert: Because 19/64 in Robert's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 19 gets us 798/2688 who might prefer pop music in the entire school without surveying all of the students.

Callie: Because 21/64 in Callie's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.

Lani: Because 20/64 in Lani's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 20 gets us 840/2688 who might prefer pop music in the entire school without surveying all of the students.

Question 2

Using Shannon's or Callie's survey would best describe the number of students in the entire school because their individual results (21/64) is the average of all of the individual results of the 5 students. If you decide to use any of the other individual survey results, you will not get the closest answer to the actual amount of students who prefer pop music in the entire school.

Using the individual survey results to estimate the number of students who prefer pop music in the entire school:

The greatest was Trey's results, which estimated about 1008 out of 2688 students in the entire school who would prefer pop music.

The least was Robert's results, which estimated about 798 out of 2688 students in the entire school who would prefer pop music.

The median of the data was 882 out of 2688 students in the entire school who would prefer pop music, as shown in Shannon's and Callie's individual survey results.

To find the median, list the results least to greatest, then look at the number that is in the exact middle. If there is no middle, but instead two middle numbers, find the average of the two.

The mode of the data was Shannon's or Callie's results, which estimated about 882 out of 2688 students in the entire school who would prefer pop music.

To find the mode, look for the number or result that it repeated the most (Ex: the result of 21/64 students who preferred pop music was found twice compared to the other individual survey results which did not repeat more than once).

So, in the end using Shannon's or Callie's individual survey results to estimate the amount of students in the entire school who prefer pop music is the best way to do so.

Please comment if you think I made a mistake, misunderstood, or missed something.

Answer:

Your correct answer is C. y = 1

Hoped this helped!

briniliest, pls?

Answer:

31.4

Step-by-step explanation:

C = 2 x 3.14 x 5

C = 10 x 3.14

C = 31.4

Answer:

870,406

Step-by-step explanation:

870,046

Hope this helps

Answer:

1. 7

2. 35

3 & 4. 7x = 70

5. 10

Step-by-step explanation:

Answer: the answer is 2/8/2

Step-by-step explanation:

40% = 40/100 = 2/5

2/5×25 = 10....

Answer:

-2.6, -2.16, 0.58, 0.8, 5.1

Step-by-step explanation:

Answer:

D) -2.6, -2.15,0.58,0.8, 5.1

Step-by-step explanation:

Answer:

Answer:

Top right graph

Step-by-step explanation:

Answer:

510

Step-by-step explanation:

17% of 3000 would be 17 in 30 hundreds, think about it that way

Answer:

the correct answer is 8.

Answer:

n = 8

Step-by-step explanation:

1/2(n + 4) = 6

1/2n + 2 = 6

1/2n (+ 2 - 2) = 6 - 2

1/2n = 4

(2/1)1/2n = 4(2)

n = 8

CHECK WORK:

1/2(8 + 4) = 6

1/2(12) = 6

6 = 6

Answer:

610m^2

Step-by-step explanation:

first we find the total area:

25*42=1050

then, we find the area of the white rectangle:

20*22=440

to find the area of the shaded region (which i'm assuming is the blue part), we can subtract the total area by the area of the white rectangle:

1050-440=610

so, the total area is 610m^2.