The triangles are similar.

Mathematics

2 answers:

dybincka [34]4 years ago

5 0

36/12=3 Which give you the enlargement of the smaller triangle to the bigger one.

You work out the missing side by putting it into an equation:

3(x-10)=39

Then solve it.

First expand the brackets:

3x-30=39

The rearrange to get x on its own and that will be your answer:

3x=39+30
3x=69
x=69/3
x=23

Sliva [168]4 years ago

3 0

Answer:

x=23

Step-by-step explanation:

The triangles have to be in the same ratio. Put big triangle side over little triangle side.

15 39

----------- = ----------------

5 x-10

Using cross products

15 * (x-10) = 5 * 39

Divide by 15 on each side

15/15 (x-10) = 5*39/15

x-10 = 13

Add 10 to each side

x-10+10 = 13+10

x=23

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Given a mean score of 1150, standard deviation of 90, and 500 participants, solve the following problem. Using this data and the

expeople1 [14]

Answer:

1. 1056.67

2. 29th percentile.

3. 79

4. 77

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 score of 1150, standard deviation of 90

This means that $\mu = 1150, \sigma = 90$