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lord [1]
2 years ago
15

I neeed your help thank you

Mathematics
1 answer:
Olin [163]2 years ago
8 0

Answer:

221

Step-by-step explanation:

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A doctor is measuring the mean systolic blood pressure of female students at a large college. Systolic blood pressure is known t
Nana76 [90]

Answer:

The correct option is (b).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:

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

The confidence interval for population mean can be computed using either the <em>z</em>-interval or <em>t</em>-interval.

The <em>t</em>-interval is used if the following conditions are satisfied:

  • The population standard deviation is not known
  • The sample size is large enough
  • The population from which the sample is selected is normally distributed.

For computing a (1 - <em>α</em>)% confidence interval for population mean , it is necessary for the population to normally distributed if the sample selected is small, i.e.<em>n</em> < 30, because only then the sampling distribution of sample mean will be approximated by the normal distribution.

In this case the sample size is, <em>n</em> = 28 < 30.

Also it is provided that the systolic blood pressure is known to have a skewed distribution.

Since the sample is small and the population is not normally distributed, the  sampling distribution of sample mean will not be approximated by the normal distribution.

Thus, no conclusion can be drawn from the 90% confidence interval for the mean systolic blood pressure.

The correct option is (b).

5 0
2 years ago
Prove Euler's identity using Euler's formula.<br> e^ix = cos x + i sin x
Korolek [52]

First list all the terms out.

e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...

Then, we can expand them.

e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...

Then, we can use the rules of raising i to a power.

e^ix = 1 + ix - x^2/2! - ix^3/3!...

Then, we can sort all the real and imaginary terms.

e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)

We can simplify this.

e^ix = cos x + i sin x

This is Euler's Formula.

What happens if we put in pi?

x = pi

e^i*pi = cos(pi) + i sin(pi)

cos(pi) = -1

i sin(pi) = 0

e^i*pi = -1 OR e^i*pi + 1 = 0

That is Euler's identity.

3 0
3 years ago
You download a video game to your computer. You have a 60 minute free trial of the game. It takes 5 minutes to set up the game a
den301095 [7]

Answer:

You can play 7 full levels for free.

Step-by-step explanation:

60-5= 55 minutes left to play

55/7=7.857

So.... 7 full levels for free

4 0
2 years ago
A bag of marbles has 3 red, 4 blue, and 5 white marbles in it. What is the probability of reaching in and selecting a blue marbl
goblinko [34]

Answer:

P(B)=\frac{1}{3}

Step-by-step explanation:

The number of red marbles in the bag is; n(R)=3.

The number of blue marbles in the bag is; n(B)=4.

The number of white marbles in the bag is; n(W)=5.

The total number of marbles in the bag is: n(S)=3+4+5=12.

The probability of selecting a blue marble is P(B)=\frac{n(B)}{n(S)}

We substitute the given information to obtain:

P(B)=\frac{4}{12}

We simplify to obtain:

P(B)=\frac{1}{3}

4 0
2 years ago
You have three bags, each containing two marbles. Bag A contains two white marbles, Bag B contains two black marbles, and Bag C
Ket [755]
5/6 chance that the next marble will be a white one
3 0
3 years ago
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