8x ≤ -32 Solve the inequality . x <

Mathematics

1 answer:

IrinaK [193]2 years ago

8 0

$8x \leq -32 \\x\leq -4$

You might be interested in

James has 3 pairs of running shoes for every 4 pairs of basketball shoes. If he has 12 pairs of basketball shoes, how many pairs

GaryK [48]

If James has 12 pairs of basketball shoes, then the ratio would be 3:4 which would stop at 3:12. Then the individual ratios would be 3:4, 6:8, and 9:12

So James has 9 pairs of running shoes

7 0

3 years ago

Suppose ACT Composite scores are normally distributed with a mean of 20.6 and a standard deviation of 5.2. A university plans to

zimovet [89]

Answer:

The minimum score required for admission is 21.9.

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:

$\mu = 20.6, \sigma = 5.2$