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3 years ago

Can someone explain how to do number 3 please?! The answer is 1 over 32

Mathematics

1 answer:

Rama09 [41]3 years ago

8 0

Since we are doing flips of a coin, we can agree that each flip is independent of all of the other.

The probability that a coin lands on heads is 1/2, just as the probability that a coin lands on tails is 1/2.

Since each event is independent, we take the probabilities of the events and multiply them together to get the overall probability:

P(H) = 1/2
P(T) = 1/2

So:

P(H, T, H, H, H) = (1/2) x (1/2) x (1/2) x (1/2) x (1/2) = 1/32

The overall probability is 1/32.

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A manager records the repair cost for 4 randomly selected stereos. A sample mean of $82.64 and standard deviation of $14.32 are

zysi [14]

Answer:

CI = (70.861 , 94.418)

Step-by-step explanation:

In order to determine the 90% confidence interval you use the following formula (for a population approximately normal):

$CI=(\overline{x}-Z_{\alpha/2}\frac{\sigma}{\sqrt{n}},\overline{x}+Z_{\alpha/2}\frac{\sigma}{\sqrt{n}})$ (1)

$\overline{x}$ : mean = 82.64

σ: standard deviation = 14.32

n: sample = 4

α: tail area = 1 - 0.9 = 0.1

Z_α/2 = Z_0.05: Z factor = 1.645

You replace these values and you obtain:

$Z_{0.05}(\frac{14.32}{\sqrt{4}})=(1.645)(\frac{14.32}{\sqrt{4}})=11.778$

The confidence interval will be:

$CI=(82.64-11.778,82.64+11.778)=(70.861,94.418)$

The 90% confidence interval is (70.861 , 94.418)

6 0

3 years ago

Cot y, if csc y =-10/3 and cos y< 0

fredd [130]

$\csc y=-\dfrac{10}3\implies\sin y=-\dfrac3{10}$

$\cos^2y=1-\sin^2y\implies \cos y=\pm\sqrt{1-\dfrac9{100}}=\pm\dfrac{\sqrt{91}}{10}$

You're told that $\cos y$ , so omit the positive root.

$\cot y=\dfrac{\cos y}{\sin y}=\dfrac{-\frac{\sqrt{91}}{10}}{-\frac3{10}}=\dfrac{\sqrt{91}}3$

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3 years ago

PLease Help!!!!

levacccp [35]

I hope this helps you

A) 0 natural number

B) 4 square root of 4=4.2=8 whole number

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bagirrra123 [75]

If you are asking how to subtract 125 centimeters and make it 87.5, you have to subtract from 125. The easiest way to do this is to subtract 87.5 from 125, getting 37.5. So, if you add 37.5 to 87.5, you will have 125. So, the correct answer is to subtract 37.5 to get 87.5.

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Write and equation for the line that has a slope of one half and passes through the point 2,4

jekas [21]

The equation in slope intercept form is

Y=.5x+3

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2 years ago