2 years ago

Circle theorem - easy work

1 answer:

8 0

Angle in a semi circle is 90°
<a = 180-90-<b = 90-28 = 62°

opposite angles of a cyclic quadrilateral sums up to 180°
<b + <a = 180
<b = 180-62
<b = 118°

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An SRS of 450 450 high school seniors gained an average of ¯ x = 20 x¯=20 points in their second attempt at the SAT Mathematics

maria [59]

Answer: (15.47, 24.53)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :_

$\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}$

, where n= sample size.

$\sigma$ = standard deviation.

$\overline{x}$ = sample mean.

z*= Critical value.

Given : n= 450

$\overline{x}=20$

$\sigma=49$

Critical value for 95% confidence = z*=1.96 [From z-value table]

Then, the 95% confidence interval will be :-

$20\pm (1.96)\dfrac{49}{\sqrt{450}}$

$\approx 20\pm (1.96)(2.31)$

$\approx 20\pm 4.53$

$=(20-4.53,\ 20+4.53)=(15.47,\ 24.53)$

Hence, the 95% confidence interval for the mean change in score μ μ in the population of all high school seniors. : (15.47, 24.53)

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2 years ago

The ratio of men to women working for a company is 8 to 5 . If there are 125 women working for the company, what is the total nu

kobusy [5.1K]

Answer:

325 employees

Step-by-step explanation:

men to women is

8:5

125/5 is 25

8*25=200

200+125=325

325 employees

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2 years ago

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Can someone explain how you do fractions like adding them? And what rules they have to find the answer?

frozen [14]

Answer:

Hope this image helps you. (sorry if it's tiny writing.)

Step-by-step explanation:

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1 year ago

What is the domain of the following parabola? (5 points)

tigry1 [53]

Answer:

Step-by-step explanation:

The domain of this quadratic is "all real numbers." The function is defined for all x.

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2 years ago

I don't understand help

TiliK225 [7]

First arrange numbers
14,15,15,17,19,20,21,23,24
19 is median
15+15/2=15 is first quartile

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2 years ago