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ra1l [238]
3 years ago
15

a board game has a spinner divided into sections of equal size. Each section is labled with a number between 1 and 5. Which numb

er is a reasonable estimate of the number of times the spinner will land on a section labled 5 over the course of 150 spins?
Mathematics
1 answer:
Julli [10]3 years ago
7 0
Hi there! 

In order to solve this problem, we can use a couple proportions. First, we'll use this proportion: 1/5 = x/150. Now, cross-multiply: 5x = 150. Then, divide: x = 30. This means that the spinner will hit the section labeled 5, 30 out of 150 times. Now we need to find the percentage. To find the percentage, we'll use this proportion: 30/150 = x/100. Cross-multiply: 150x = 3000. Divide: x = 20. This means that the spinner will land on the section labeled 5, 30 out of 150 times or 20% of the time.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
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Answer:

The 95% confidence interval estimate for the population mean force is (1691, 1755).

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.

The sample selected here is <em>n</em> = 30.

Thus, the sampling distribution of the sample mean will be normal.

Compute the sample mean and standard deviation as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55

Construct a 95% confidence interval estimate for the population mean force as follows:

CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}

    =1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)

Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).

3 0
3 years ago
Giving brainlyist to the person with the correct answer
KonstantinChe [14]

Answer:

10 x 20

Step-by-step explanation:

it's 10 on the side of the shaded area, and 20 on the opposing side, so in this case, it must be 10 x 20 = 200.

hope it helps

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