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Finger [1]
3 years ago
9

Solve for x -6x+14< -28 or 9x+15≤−12

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
8 0

- 3 \geqslant x > 6

Step-by-step explanation:

....

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1. {MCC.7.RP.2b} Find the missing value so that the two points have a slope of ½. (7,2) and (3,y) * 3 -4 2 0
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Step-by-step explanation:

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In a circle whose radius is 10 cm, a chord is 6 cm from the center. How long is the chord?
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The length of the chord = 2(sqrt(10^2 - 6^2))
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Barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. Assume that for the population of
Ket [755]

Answer:

A) The sampling distribution for a sample size n=50 has a mean of 18.5 weeks and a standard deviation of 0.849.

B) P = 0.7616

C) P = 0.4441

Step-by-step explanation:

We assume that for the population of all unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 6 weeks.

A) We take a sample of size n=50.

The mean of the sampling distribution is equal to the population mean:

\mu_s=\mu=18.5

The standard deviation of the sampling distribution is:

\sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{50}}=0.849

B) We have to calculate the probability that the sampling distribution gives a value between one week from the mean. That is between 17.5 and 19.5 weeks.

We can calculate this with the z-scores:

z_1=\dfrac{X_1-\mu}{\sigma/\sqrt{n}}=\dfrac{17.5-18.5}{6/\sqrt{50}}=\dfrac{-1}{0.8485}=-1.179\\\\\\z_2=\dfrac{X_2-\mu}{\sigma/\sqrt{n}}=\dfrac{19.5-18.5}{6/\sqrt{50}}=\dfrac{1}{0.8485}=1.179

The probability it then:

P(|X_s-\mu_s|

C) For half a week (between 18 and 19 weeks), we recalculate the z-scores and the probabilities:

z=\dfrac{X-\mu}{\sigma/\sqrt{n}}=\dfrac{18-18.5}{6/\sqrt{50}}=\dfrac{-0.5}{0.8485}=-0.589

P(|X_s-\mu_s|

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3 years ago
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