3x+2 ≤2 - 3x for x=-2

Mathematics

2 answers:

baherus [9]3 years ago

6 0

(
3
)
(
−
2
)
+
2
≤
2
−
(
3
)
(
−
2
)
−
4
≤ 8

umka21 [38]3 years ago

5 0

Answer:

x=−7

Step-by-step explanation:

Apply the distributive property.

3x−2(3x)−2⋅−2=2(4−x)+33x-2(3x)-2⋅-2=2(4-x)+3

Multiply 33 by −2-2.

3x−6x−2⋅−2=2(4−x)+33x-6x-2⋅-2=2(4-x)+3

Multiply −2-2 by −2-2.

3x−6x+4=2(4−x)+33x-6x+4=2(4-x)+3

Subtract 6x6x from 3x3x.

−3x+4=2(4−x)+3

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in 2018 GRE scores were normally distributed with a mean of 303, and standard deviation of 13. Standford University Graduate sch

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The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

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.

In this problem, we have that:

$\mu = 303, \sigma = 13$