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3 years ago

I need help “ write the following answer as a fraction :

Mathematics

2 answers:

lubasha [3.4K]3 years ago

5 0

Answer:

1/16

Step-by-step explanation:

Dovator [93]3 years ago

3 0

Answer:F -4/2

Step-by-step explanation:

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Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation:

Vikentia [17]

Answer:

$\= x = 18.5$ , $\sigma = 5.15$

$15.505 < \mu < 21.495$

$14.93 < \mu < 22.069$

Step-by-step explanation:

From the question we are are told that

The sample data is 21, 14, 13, 24, 17, 22, 25, 12

The sample size is n = 8

Generally the ample mean is evaluated as

$\= x = \frac{\sum x }{n}$

$\= x = \frac{ 21 + 14 + 13 + 24 + 17 + 22+ 25 + 12 }{8}$

$\= x = 18.5$

Generally the standard deviation is mathematically evaluated as

$\sigma = \sqrt{\frac{\sum (x- \=x )^2}{n}}$

$\sigma = \sqrt{\frac{\sum ((21 - 18.5)^2 + (14-18.5)^2+ (13-18.5)^2+ (24-18.5)^2+ (17-18.5)^2+ (22-18.5)^2+ (25-18.5)^2+ (12 -18.5)^2 )}{8}}$

$\sigma = 5.15$

considering part b

Given that the confidence level is 90% then the significance level is evaluated as

$\alpha = 100-90$

$\alpha = 10\%$

$\alpha = 0.10$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{ \alpha }{2} } = 1.645$

The margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E =1.645 * \frac{5.15 }{\sqrt{8} }$

=> $E = 2.995$

The 90% confidence interval is evaluated as

$\= x - E < \mu < \= x + E$

substituting values

$18.5 - 2.995 < \mu < 18.5 + 2.995$

$15.505 < \mu < 21.495$

considering part c

Given that the confidence level is 95% then the significance level is evaluated as

$\alpha = 100-95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table the value is

$Z_{\frac{ \alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E =1.96 * \frac{5.15 }{\sqrt{8} }$

=> $E = 3.569$

The 95% confidence interval is evaluated as

$\= x - E < \mu < \= x + E$

substituting values

$18.5 - 3.569 < \mu < 18.5 + 3.569$

$14.93 < \mu < 22.069$

8 0

3 years ago

1. In the figure, m DE=124, and M BC=36. The diagram is not drawn to scale. What is m A? A) 44* B) 62* C) 80* D) 88* please help

Anuta_ua [19.1K]

The relation between arc length and exterior angle is given in the figure.

Now we are given far arc length as DE =124

We are given near arc length as BC = 36

So plugging in the formula to find measure of angle A:

$angle A=\frac{far arc-near arc}{2}$

$angle A=\frac{124-36}{2}$

$angle A=\frac{88}{2}$

Angle A = 44 degrees

Answer : A) 44 degree

5 0

3 years ago

Read 2 more answers

the amount of water in a bathtube as it drains can be modeled by this equation with y representing the number of gallons of wate

koban [17]

Since $y$ is representing the number of gallons of water in the tub, we need to replace $y$ with the number of gallons remaining in the tube to find the time. Fortunately, the problem is telling us just that: 17.8 gallons. The only thing left is replacing that value in the equation, and solve for $x$ to find the time:
$17.8=-7.3x+39.7$
$7.3x=21.9$
$x= \frac{21.9}{7.3}$
$x=3$

We can conclude that after 3 minutes <span>the tub will have 17.8 gallons of water remaining.</span>

4 0

3 years ago

Please help, my teacher doesn't teach me anything and I have to have more than 10 papers due by tomorrow

Nikitich [7]

1) x = 190 dgrees
3) x = 50 dgreed

5 0

3 years ago

PLEASE HELP!!!!

iris [78.8K]

I hope this helps you

7 0

3 years ago