$1,94x-\frac{10}{8}x+4,32=[2(1,15x+8,5)]\\\\
1,94x-1,25x+4,32=2,3x+17\\\\
0,69x+4,32=2,3x+17\ \ \ |Subtract\ 2,3x\\\\
-1,61x+4,32=17\ \ \ |Subtract\ 4,32\\\\
-1,61x=12,68\ \ \ |Divide\ by\ -1,61\\\\\boxed{x\approx7,9}
$

8 0

3 years ago

12. What value of c would make x = 4 in the<br> equation 5 + cx = 13 ?

Pavel [41]

Plug in 4 for x and solve equation like so. c=2

4 0

3 years ago

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 $\mu = 20.1, \sigma = 5.1$ .