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Mathematics

2 answers:

lisov135 [29]3 years ago

7 0

You essentially have four triangles. The area of a triangle is: A=bh/2 (b=base length and h=height)

So the area is simply the sum of the four triangle areas...

A=(3*2)/2+(3*2)/2+(7*2)/2+(7*2)/2

A=20 ft^2

ELEN [110]3 years ago

3 0

Area of top left triangle inside the kite = 2x3 = 6 divide by 2 = 3 square feet
area for top right triangle is 7x2 = 14 divide by 2 = 7 square feet
add together to get total area of top half = 10 square feet
double it to get bottom half as well, so total area is 20 square feet

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Answer:

The z-score when x=187 is 2.41. The mean is 187. This z-score tells you that x = 187 is 2.41 standard deviations above the mean.

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 question:

$\mu = 152, \sigma = 14.5$