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3 years ago

What’s the area? Please help!!

Mathematics

2 answers:

vampirchik [111]3 years ago

7 0

We can find the area of each shape separately
The area of the triangle can be found by A = 1/2bh
So the area will be 1/2 times (6+14+6= 26) 26 times 21
The area of the triangle will be 273 ft^2
The area of the square will be A=lxh
So the area will be 14 times 14
So the area of the square will be 196 ft ^2
We then add the area of both shapes together to get the total area
273 + 196 = 469 ft^2

zavuch27 [327]3 years ago

5 0

9514 1404 393

Answer:

469 square yards

Step-by-step explanation:

The area of the triangle is ...

A = 1/2bh

A = 1/2(6+14+6)(21) = 273

The area of the square is ...

A = s^2 = 14^2 = 196

The total area of the figure is the sum of the parts.

273 +196 = 469 . . . square yards

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saveliy_v [14]

Answer:

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Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 4.6 millimeters (mm) and a standard deviation of 1.5 mm.

This means that $\mu = 4.6, \sigma = 1.5$

Find the probability that the thickness is between 3.0 and 7.0 mm.

This is the pvalue of Z when X = 7 subtracted by the pvalue of Z when X = 3. So

X = 7

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

$Z = \frac{7 - 4.6}{1.5}$

$Z = 1.6$

$Z = 1.6$ has a pvalue of 0.9452

X = 3

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

$Z = \frac{3 - 4.6}{1.5}$

$Z = -1.07$

$Z = -1.07$ has a pvalue of 0.1423

0.9452 - 0.1423 = 0.8029

0.8029 = 80.29% probability that the thickness is between 3.0 and 7.0 mm.

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