There are 120 books in a shop.

a spinner is divided into 15 identical sectors and labeled 1 through 15 how many spins are expected for a multip;le of 4 to be s

Feliz [49]

We need to spin the spinner 150 times, to expect a multiple of 4 to be spun 30 times.

In the question, we are given that a spinner is divided into 15 identical sectors and labeled 1 through 15.

We are asked the number of times the spinner must be spun to expect a multiple of 4 30 times.

The possible outcomes of a multiple of 4 are 4, 8, and 12.

Thus, the number of possible outcomes are 3.

The total number of outcomes are 15.

Thus, the probability of getting a multiple of 4 in one spin = 3/15 = 1/5.

Thus, to expect a multiple of 4 once, we need to spin the spinner 5 times.

Thus, to expect a multiple of 4 30 times, we need to spin the spinner 5 * 30 = 150 times.

Thus, we need to spin the spinner 150 times, to expect a multiple of 4 to be spun 30 times.

Learn more about expectation at

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4 0

2 years ago

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A 6 oz paper cup is shaped like a cone with a diameter of 4 inches. How many ounces of water will a plastic cylindrical cup with

OleMash [197]

Answer:

The plastic cylindrical cup will hold 17.96 ounces of water.

Step-by-step explanation:

Given:

A 6 oz paper cup is shaped like a cone with a diameter of 4 inches.

Now, to find ounces of water will a plastic cylindrical cup with a diameter of 4 inches hold if it is the same height as the paper cup.

Volume of cone = 6 oz.

Diameter = 4 inches.

So, radius (r) = $\frac{Diameter}{2} =\frac{4}{2} =2\ inches.$

Taking the value $\pi$ = 3.14.

Now, to get the height (h) we put formula:

$Volume=\pi r^2\frac{h}{3}$

$Volume=3.14\times 2^2\times \frac{h}{3}$

$6=3.14\times 4\times \frac{h}{3}$

Multiplying both sides by 3 we get:

$18=12.56h$

Dividing both sides by 12.56 we get:

$1.43=h$

$h=1.43\ inches.$

Now, to get the volume of cylindrical cup.

As, given it is the same height as the paper cup.

Height (h) = 1.43 inches.

Diameter = 4 inches.

Radius (r) = $\frac{Diameter}{2} =\frac{4}{2} =2\ inches.$

So, we put formula to get the ounces of water a plastic cylindrical cup will hold:

$Volume =\pi r^2h$

$Volume=3.14\times 2^2\times 1.43$

$Volume=3.14\times 4\times 1.43$

$Volume=17.96\ oz.$

Therefore, the plastic cylindrical cup will hold 17.96 ounces of water.

5 0

3 years ago

How much will you get paid if you work 28.5 hours for $7.75 per hour?

andrey2020 [161]

Answer:

$220.875

Step-by-step explanation:

For 1 hour you get $7.75

To find how much money you make in 28.5 hours... you multiply the number of hours with the number of dollars.

28.5 * 7.75

$220.875

8 0

2 years ago

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For each scenario below, choose the graph that gives the best representation (must view picture for questions A and B).

mr Goodwill [35]

Part A would be the second option, as well as part B

4 0

3 years ago

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Consider the following sets of sample data: A: $29,400, $30,900, $21,000, $33,200, $21,300, $24,600, $29,500, $22,500, $35,200,

Lana71 [14]

Answer:

CV for A = 21.8%

CV for B = 15.5%

Step-by-step explanation:

The formula for coefficient of variation is:

CV = Standard Deviation / Mean

So,

For A:

Mean = Sum/No. of items

= 391300/14

=$27950

and

SD = $6085.31

CV for A = 6085.31/27950 * 100

=21.77%

Rounding off to one decimal

CV for A = 21.8%

For B:

Mean = Sum/No. of items

= 43.58/11

=3.96

and

SD = 0.615

CV for B = 0.615/3.96 * 100

=15.53%

=15.5% ..

6 0

2 years ago