Solve. Write your answer in interval notation. 5x+3<−27 or 3x+3≥18

Mathematics

1 answer:

harina [27]3 years ago

6 0

Answer:

(-∞, 6) or [5, ∞)

Step-by-step explanation:

subtract 3

5x< -30 or 3x ≥ 15 .

divide

x < 6 or x ≥ 5

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Could u help me with 22 please.

sleet_krkn [62]

The inequality is TRUE because when you substitute 4 into each variable (p), you will have this:
3(4) > 5 + 4
12 > 9
12 is greater than 9, so the inequality is definitely true.
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6 0

3 years ago

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1504 and a standard devi

SVEN [57.7K]

Answer:

6.68% of students from this school earn scores that satisfy the admission requirement

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:

$\mu = 1504, \sigma = 300$

The local college includes a minimum score of 1954 in its admission requirements. What percentage of students from this school earn scores that satisfy the admission requirement

This is 1 subtracted by the pvalue of Z when X = 1954. So

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

$Z = \frac{1954 - 1504}{300}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

1 - 0.9332 = 0.0668

6.68% of students from this school earn scores that satisfy the admission requirement

6 0

3 years ago

Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum mon

elena-14-01-66 [18.8K]

By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.

<h3>What is percentage ?</h3>

Percentage is a number or ratio expressed as a fraction of 100.

Here given that

Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance

So minimum balance of Card D is 3.57 Percentage of $ 691.64

$=3.54\times\frac{691.64}{100} =24.691548=24.69$