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Mazyrski [523]
2 years ago
14

Janet makes 67% of free throws in her basketball games. Her coach wants to know the probability that she will make 7 out of the

next 8 free throws.
Which simulation design has an appropriate device and a correct trial?

A) Roll a die letting 1-5 represent Janet making a free throw and 6
represent Janet not falling. Roll the die seven times.

B) Roll a die letting 1-5 represent Janet making a free throw and 6 represent Janet not falling. Roll the die eight times.

C) Roll a die letting 1-4 represent Janet making a free throw and 5-6 represent Janet not falling. Roll the die seven times.

D) Roll a die letting 1-4 represent Janet making a free throw and 5-6 represent Janet not falling. Roll the die eight times.
Mathematics
2 answers:
miss Akunina [59]2 years ago
7 0

Answer: D

Step-by-step explanation:

8_murik_8 [283]2 years ago
3 0
The probability that Janet makes a free throw is given by:
P(f)=0.67
The simulation that will be used to design the possibility of her making 7 out of 8 free throws will be:

<span>D) Roll a die letting 1-4 represent Janet making a free throw and 5-6 represent Janet not falling. Roll the die eight times.
This is is because the probability of obtaining 1,2,3 or 4 from rolling a dice is
4/6=0.67 </span>
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The table showing the conversion of angle measure in degrees to angles in gradients is attached below.

In order to find the slope we divide the difference of two y-coordinates (or dependent variable which in this case is gradient measure) by the difference of two respective x-coordinates (or independent variable which in this case is degree measure).

For finding the slope we will use the first and the last point given in the table. So, the slope m will be given by:

m= \frac{300-(-200)}{270-(-180)}  \\  \\ &#10;m= \frac{500}{450} \\  \\ &#10;m=1.11

So rounding of to nearest hundredth, the slope of line representing the conversion of degrees to gradients is 1.11

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2 years ago
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An airline gathers data on late departures and early arrivals over a month. It finds that the probability of a late departure is
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Answer:

answer is C (0.12+0.27-0.12)

Step-by-step explanation:

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Maria has $2.43 in quarters and pennies in her wallet. She has twice as many pennies as quarters. How many coins of each type do
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Given maria has \\\$ 2.43 in the pennies & quarters.

she has twice as many pennies  as quarters.

find out the coins

let us assume the  quarters are x

than the pennies are 2x.

Formula

 value of the pennies +  value of the quarters = total value of coins

1 quarters =$ 0.25

1 pennies = $0.01

Thus

0.25x + 0.01 (2x) = 2.43

0.27 x = 2.43

x = 9

2x = 18

i.e the number of quarters are 9 and the number of pennies are 18.

Hence proved





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In a large population, 76% of the households own microwaves. A simple random sample of 100 households is to be contacted and the
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Answer:

Mean and standard deviation of the sampling distribution of the sample proportions are 76 and 0.0427 respectively.

Step-by-step explanation:

The mean for a sample proportion is given by μ = np

n = sample size = 100

p = fraction of the sample proportion that have what is being tested = 76% = 0.76

μ = 0.76 × 100 = 76.

Standard deviation of a sample proportion = σ = √[p(1-p)/n] = √(0.76×0.24/100) = 0.0427

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Mr. Alvarez makes a walkway out of 3 cement slabs. He uses 14 cubic feet of cement to make the walk way. Each square slab has a
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Answer:

The middle slab is 2 cubic feet.

Step-by-step explanation:

The problem presents the information: Mr. Alvarez makes a walkway out of 3 cement slabs.

However, he uses 14 Cubic feet of cement to make the walkway. Each square slab has a volume of 4 cubic feet.

Mr. Alvarez makes the way with 3 cement slabs (NC), each cement slab is 4 cubic feet (UC). It means, the cubic feet for the 3 cement slabs (CS) are:

CS = NC* UC = 3*4 = 12 cubic feet.

It means Mr. Alvarez uses 12 cubic feet with 3 cement slabs.

Mr. Alvarez used in total of 14 cubic feet of cement (TC). At this moment he used 12 cubic feet of cement (CS). It means, there will be a part of the cement slab used (PC).

PC = TC - CS = 14 - 12 = 2 Cubic feet.

Finally, the middle slab is 2 cubic feet of cement.

5 0
2 years ago
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