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Mathematics

1 answer:

adell [148]3 years ago

7 0

Answer:

Step-by-step explanation:

24^2 = (12)(12+x)

576 = 144 + 12x

432 = 12x

36 = x

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16 + 15 = answer this yall

Gekata [30.6K]

Hi there!

Hope this helps you!

Final Result: 31

4 0

3 years ago

Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inch

enot [183]

From the information given you have:

1) Smaller diagonal of the kite: 16 inches

2) Larger diagonal of the kite: height of one triangle (h1) + height of the other triangle (h2)

3) Calculation of the height of the smaller triangle, h1:

10^2 = (16/2)^2 + (h1)^2 => h1 = √ [10^2 - 8^2] = 6

4) Calculation of the height of the larger triangle, h2

17^2 = (16/2)^2 + (h2)^2 => h2 = √[17^2 - 8^2] = 15

5) Larger diagonal = h1 + h2 = 6 + 15 = 21

Answer: 21 inches

7 0

4 years ago

Read 2 more answers

Solve for x …………………………..

fredd [130]

ANSWER

x° + 74° + 90° = 180°(Angles in a triangle)

x° + 164° = 180°

x° + 164° - 164° = 180° - 164°

x° = 16°

4 0

3 years ago

Read 2 more answers

1. Suppose you have a variable X~N(8, 1.5). What is the probability that you have values between (6.5, 9.5)

Natalija [7]

Answer:

0.6826 = 68.26% probability that you have values in this interval.

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.

X~N(8, 1.5)

This means that $\mu = 8, \sigma = 1.5$