-2(-5 - 2) + (2)/(3)

Mathematics

1 answer:

ikadub [295]3 years ago

6 0

Answer:

14 2/3 or 14.6 repeting

Step-by-step explanation:

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What is the answer??

AVprozaik [17]

Answer:

HK = 20

Step-by-step explanation:

LM = (1/2) HK {Mid point theorem}

$10x - 90 = \frac{1}{2}(10x - 80) \\$

2*(10x - 90) = 10x - 80

2*10x - 2*90 = 10x - 80

20x - 180 = 10x - 80 {add 180 to both sides}

20x = 10x - 80 + 180

20x = 10x +100 {Subtract 10x from both sides from }

20x -10x = 100

10x = 100

x = 100/10

x = 10

HK = 10x - 80

= 10*10 - 80

= 100 - 80

= 20

5 0

3 years ago

Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the

ahrayia [7]

Answer:

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

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:

$\mu = 180, \sigma = 8$