I need help with numbers 5,6,and 8

Mathematics

1 answer:

o-na [289]3 years ago

3 0

You could work out the formulas for them or just look them up on google to see how people do it for examples

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Find the equation of the line parallel to y=4x-10 containing (5,-6)

kogti [31]

Y=mx+b, m=slope, b=y intercept

a line that is paralell will have the same slope with a different y intercept
y=4x-10
therefor the new equation is y=4x+b
subsitute
(x,y)
(5,-6)
x=5
y=-6
is on e solution so subsitue
-6=4(5)+b
-6=20+b
subtract 20
-26=b
the equation si y=4x-26

5 0

3 years ago

Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 c

Bogdan [553]

Answer:

a) 6.68% of heights less than 150 centimeters

b) 58.65% of heights between 160 centimeters and 180 centimeters

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:

$\mu = 162, \sigma = 8$