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3 years ago

Describe the solution set of compound inequality x>2 or x<7. Please help ❣️ o(^o^)o

Mathematics

1 answer:

olganol [36]3 years ago

6 0

If is

x > 2 or x < 7 ⇒ x is any real number

If is

x > 2 and x < 7 ⇒ 2 < x < 7

A set of all numbers that are greater than 2 and less than 7.

Look at the picture.

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The probability that a randomly selected high school senior's score on mathematics part of SAT will be

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Step-by-step explanation:

Mean of Sat = $\mu = 500$

Standard deviation = $\sigma = 100$

We will use z score over here

What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be

(a) more than 675?

P(X>675)

$Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}$

Z=1.75

P(X>675)=1-P(X<675)=1-0.9599=0.0401

b)between 450 and 675?

P(450<X<675)

At x = 675

$Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}$

Z=1.75

At x = 450

$Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}$

Z=-0.5

P(450<X<675)=0.9599-0.3085=0.6514

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