Mathematics
05.02.2022 21:20
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I need this today :(
Please help 
I need this today :(
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Sanshine
Sanshine
4,7(16 marks)

Step-by-step explanation:

Use COS method (Cos Angle = adjacent/hypotenuse)

given adjacent = 14 ft

hypotenuse = 67 ft

\cos(x)  =  \frac{adjacent}{hypotenuse}  \\  \cos(x)  =  \frac{14}{67}  \\ x =  {cos}^{ - 1} ( \frac{14}{67} ) \\  = 78 \: deg(nearest \: degree)

ShlomoShekelstein
ShlomoShekelstein
5,0(22 marks)

Hence, Stacy will spin 6,  8.33 times out of her n = 50 attempts.

Step-by-step explanation:

Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.

We will estimate the number of times that she spins a 6 as the expected value of this random variable.

Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.

Then , in this case, with n=50 and p=1/6 we expect to have  number of times of having a 6, which is 8.33.

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