Please help in finding x.

Mathematics

2 answers:

sesenic [268]3 years ago

6 0

<h2>Solving Equations</h2><h3>Answer:</h3>

$x = 20$

<h3>Step-by-step explanation:</h3>

Given:

$\sqrt{\frac{4 +x}{6}} = 2\\$

Solution:

$\sqrt{\frac{4 +x}{6}} = 2 \\ (\sqrt{\frac{4 +x}{6}})^2 = (2)^2 \\ \frac{4 +x}{6} = 4 \\ \frac{4 +x}{6} \times 6 = 4 \times 6 \\ 4 +x =24 \\ 4 +x -4 \\ 24 -4 \\ x = 20$

inna [77]3 years ago

5 0

Answer:

x=20

Step-by-step explanation:

Square both sides

4+x/6=4

4+x=4*6

x=24-4

x=20

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A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam

Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 65, \sigma = 8.2$