Is (–9, 7) a solution to this system of inequalities? x + y ≤ –7 7x − 4y > –4

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

5 0

Answer:

Step-by-step explanation:

$7x-4y>-4$

$7(-9)-4(7)>-4$

$(-63)-(28)>-4$

$(-91)>-4$

$(-9,7)$ is not a solution to the system of inequality

You might be interested in

There are two college entrance exams that are often taken by students, Exam A and Exam B. The composite score on Exam A is appro

elena55 [62]

Answer:

B.The score on Exam A is better, because the percentile for the Exam A score is higher.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

Two exams. The exam that you did score better is the one in which you had a higher zscore.

The composite score on Exam A is approximately normally distributed with mean 20.1 and standard deviation 5.1.

This means that $\mu = 20.1, \sigma = 5.1$ .