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3 years ago

12

PLEASE HELP ME ASAP?!? Find the length of the missing side. Simplify all radicals.

1 answer:

Paul [167]3 years ago

8 0

Answer:

22.47

22.5 (simplified)

Step-by-step explanation:

22.47 = √(8^2 + 21^2)

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Find the distance CD

KiRa [710]

d=√(-8-7)^2+(-5-(-4))^2. =√(-15)^2+(-1)^2. =√225+1. =√226. =16. *CD=16

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4 years ago

4 gallons of gasoline at QT cost $16.80. What was the price per gallon at QT?

lidiya [134]

It would be 4 dollars and 20 cents a gallon

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3 years ago

Read 2 more answers

What are the 10th and 90th percentiles of the distribution of sample proportion for the population proportion below?

levacccp [35]

Answer:

The 10th percentile is 0.0784.

The 90th percentile is 0.1616.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

For a proportion p in a sample of size n, we have that $\mu = p, \sigma = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$\mu = 0.12, \sigma = \sqrt{\frac{0.12*0.88}{100}} = 0.0325$

10th percentile:

X when Z has a pvalue of 0.1. So X when Z = -1.28.

$Z = \frac{X - \mu}{\sigma}$

$-1.28 = \frac{X - 0.12}{0.0325}$

$X - 0.12 = -1.28*0.0325$

$X = 0.0784$

The 10th percentile is 0.0784.

90th percentile:

X when Z has a pvalue of 0.9. So X when Z = 1.28.

$Z = \frac{X - \mu}{\sigma}$

$1.28 = \frac{X - 0.12}{0.0325}$

$X - 0.12 = 1.28*0.0325$

$X = 0.1616$

The 90th percentile is 0.1616.

4 0

3 years ago

Find the value of x.

Alik [6]

Answer:

$x =15$

Step-by-step explanation:

In $\odot D,$ AB and AC are chords which are equidistant from the center of the circle.

$\therefore Chord \: AB \cong Chord\: AC$

$\therefore m \widehat {AB} = m\widehat {AC}$

(Equal chords intercept equal arcs)

$\because m \widehat {AB} = (10x-23)\degree$

$\therefore m \widehat {AC} = (10x-23)\degree$

$m \widehat {AB} +m \widehat {AC} +106\degree = 360\degree$

(Arc sum postulate of a circle)

$(10x-23)\degree + (10x-23)\degree= 360\degree- 106\degree$

$2(10x-23)\degree = 254\degree$

$(10x-23)\degree = 127\degree$

$10x-23 = 127$

$10x = 127+23$

$10x = 150$

$x = \frac {150}{10}$

$x =15$

5 0

3 years ago

Solve the following inequality in the simplest form: 8(−x−2/3)−1≥7

Sladkaya [172]

The answer is as in pic

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3 years ago