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2 years ago

Two right triangles always similar if

1 answer:

8 0

If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar.

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Solve each of the following equations show its solution set on a number line |3x+4|

Hatshy [7]

Answer:

(0,4)

Step-by-step explanation:

4 0

2 years ago

Two sublings are 55 years combined and one sibling is 9 years younger how od is the younger sibing

Dennis_Churaev [7]

Answer:

23 years old

Step-by-step explanation:

Let x = age of younger sibling.

Then, the age of the older sibling is x + 9.

x + x + 9 = 55

2x = 46

x = 23

Answer: 23 years old

6 0

2 years ago

Read 2 more answers

Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t

NeTakaya

Answer:

$\mu = 11$

$\sigma = 2.08$

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.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when $Z = -1.44, X = 8$ . So

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

$-1.44 = \frac{8 - \mu}{\sigma}$

$8 - \mu = -1.44\sigma$

$\mu = 8 + 1.44\sigma$

Also, when X = 14, Z has a pvalue of 0.925, so when $X = 8, Z = 1.44$

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

$1.44 = \frac{14 - \mu}{\sigma}$

$14 - \mu = 1.44\sigma$

$1.44\sigma = 14 - \mu$

Replacing in the first equation

$\mu = 8 + 1.44\sigma$

$\mu = 8 + 14 - \mu$

$2\mu = 22$

$\mu = \frac{22}{2}$

$\mu = 11$

Standard deviation:

$1.44\sigma = 14 - \mu$

$1.44\sigma = 14 - 11$

$\sigma = \frac{3}{1.44}$

$\sigma = 2.08$

7 0

2 years ago

How many ounces are in 3 1/2 pounds and 4 ounces

Shkiper50 [21]

60 oz

Step-by-step explanation:

Although 60 is the correct answer, you might want to double check because you just used two different systems of measurement in one problem.

8 0

2 years ago

translate the sentence into an equation. the product of 8 and a number increased by 4 is 60.a. 8y 4 = 60b. 4y 8 = 56c. 8 ÷ y 4 =

krok68 [10]

Hello,

"T<span>he product of 8 and a number increased by 4" may be understood by 2 ways:
1) it is the number which is increased
2) it is the product which is increased.

1) 8*(y+4) =8y+32

2) (8y)+4=8y+4

Seeing answers
:answer A: 8y+4

</span>

6 0

3 years ago