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3 years ago

Solve the compound inequality: 3x ≤ 18 AND x + 4 > 2

Mathematics

2 answers:

ehidna [41]3 years ago

5 0

3x ≤ 18

x ≤ 18/3

x≤ 6

x + 4 > 2

x > 2 -4

x > - 2

Then - 2 < x ≤ 6

Answer: <=6

dedylja [7]3 years ago

4 0

There must be a mistake in your question:
If 3 x ≤ 9, then : x ≤ 3 and :
x + 4 > 2
x > 2 - 4
x > - 2
Answer: D)
Solution set : - 2 < x ≤ 3

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Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi

den301095 [7]

Answer:

Test scores of 10.2 or lower are significantly low.

Test scores of 31 or higher are significantly high

Step-by-step explanation:

Z-score:

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.

In this problem, we have that:

$\mu = 20.6, \sigma = 5.2$

Significantly low:

Z-scores of -2 or lower

So scores of X when Z = -2 or lower

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

$-2 = \frac{X - 20.6}{5.2}$

$X - 20.6 = -2*5.2$

$X = 10.2$

Test scores of 10.2 or lower are significantly low.

Significantly high:

Z-scores of 2 or higher

So scores of X when Z = 2 or higher

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

$2 = \frac{X - 20.6}{5.2}$

$X - 20.6 = 2*5.2$

$X = 31$

Test scores of 31 or higher are significantly high

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3 years ago

Community coffee company wants a new flavor of cajun coffee. how many pounds of coffee worth $7 a pound should be added to 14 po

olga_2 [115]

14x4=56
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3 years ago

Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Wh

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Answer:

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Step-by-step explanation:

Each confidence interval has two bounds, the lower bound and the upper bound. The points estimate used to estimate the mean is the halfway point between those two bounds, that is, the sum of those two bounds divided by two.

In this problem, we have that:

Lower bound: 62.532

Upper bound: 76.478

Point estimate: (62.532 + 76.478)/2 = 69.505

The point estimate used to estimate the mean height of all adult males in Idaho is 69.505 inches.

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lidiya [134]

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Step-by-step explanation:

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