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2 years ago

12

When the sample size and sample standard deviation remain the same, a 99% confidence interval for a population mean, µ will be n

arrower than the 95% confidence interval for µ?

1 answer:

motikmotik2 years ago

5 0

A 99% confidence interval will be wider compared to a 95% confidence interval. This is because while you don't know what the true value of mu is, you are more confident that the parameter is in the interval.

In essence, you are casting a wider net which leads to the higher level of confidence. Imagine if there was a 100 mile stretch of straight land, and somewhere on this line was a special rock that you are looking for. You would be 100% confident if you said "the rock is somewhere on that piece of land", and less confident the more you shrunk the interval.

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when solving this, do i take it out of the parenthesis or make it into a square root? because its very confusing.

Licemer1 [7]

Finding the inverse function:

We are given a function y = f(x). To find the inverse function, we exchange x with y in the original function, and then isolate y.

So

We are given the function:

$f(x)=(x+7)^5$

So

$y=(x+7)^5$

Changing x with y

$x=(y+7_{})^5$

Now, we have to isolate y. So

$(y+7)^5=x$

We can apply the fifth root to both sides. So:

$\sqrt[5]{(y+7)^5}=\sqrt[5]{x}$ $y+7=\sqrt[5]{x}$ $f^{-1}(x)=y=\sqrt[5]{x}-7$

7 0

10 months ago

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ankoles [38]

Answer:

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6 0

2 years ago

Please help!!!! Find X and Y

Rudik [331]

Answer: X=15 , Y=15 $\sqrt{3}$

Step-by-step explanation:

This triangle is a 30, 60, 90 so that means it would be - a, 2a, a $\sqrt{3}$ on each side, so add that all together and you get x-15 and y-15 $\sqrt{3}$

5 0

3 years ago

There are 3 cans that store 9 tennis balls. Consider the number of balls per can a.find the constant of proportionality for this

sergeinik [125]

Answer:

Write an equation that will model the proportional relationship given in each real world situation.

1. There are 3 cans that store 9 tennis balls. Consider the number of balls per can.

a. Find the constant of proportionality for this situation.

9 balls (B)

_________ = 3

3 cans (C)

b. Write an equation to represent the relationship.

b = 3c

5 0

2 years ago

Given cos theta = - 2/5 and sin theta < 0, find the six trigonometric values. I need help with this

Lena [83]

Answer:

$\sin\,\theta =-\frac{\sqrt{21} }{5}$

$\tan\,\theta =\frac{\sqrt{21} }{2}$

$\sec\,\theta = \frac{-5}{2}$

$cosec\,\theta =\frac{-5}{\sqrt{21} }$

$\cot\,\theta =\frac{2}{\sqrt{21} }$

Step-by-step explanation:

$\cos\theta =\frac{-2}{5}$

As both $sin\,\theta$ ,

$\theta$ lies in the third quadrant.

In the third quadrant,

$\sin\theta$

$\sin\,\theta =-\sqrt{1-\cos^2\,\theta} \\=-\sqrt{1-(\frac{-2}{5})^2 } \\\\=-\sqrt{1-\frac{4}{25} }\\\\=-\sqrt{\frac{25-4}{25} }\\\\=-\frac{\sqrt{21} }{5}$

$\tan\,\theta = \frac{\sin\,\theta}{\cos\,\theta }\\\\=\frac{\frac{-\sqrt{21} }{5} }{\frac{-2}{5} }\\\\=\frac{\sqrt{21} }{2}$

$\sec\,\theta =\frac{1}{\cos\,\theta }\\\\=\frac{1}{\frac{-2}{5} }\\\\=\frac{-5}{2}$

$\ cosec \,\theta = \frac{1}{sin\,\theta }\\\\=\frac{1}{\frac{-\sqrt{21} }{5} }\\\\=\frac{-5}{\sqrt{21} }$

$\cot\,\theta =\frac{1}{\tan\,\theta}\\\\=\frac{1}{\frac{\sqrt{21} }{2} }\\\\=\frac{2}{\sqrt{21} }$

3 0

2 years ago