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sweet [91]
2 years ago
7

I NEED HELP SOOOO MUCH IM SOOO LOST I WILL GIVE A BRAINLIEST TO THE PERSON WHO INCLUDES ALL WORK, CORRECT ANSWER,AND EVERYTHING

MAKES SENSE.
(Variables on both sides of an equation)
Solve: 5(a-1)-15=3(a+2)+4
Mathematics
2 answers:
Svetradugi [14.3K]2 years ago
6 0
We start by using the distributive property to expand the terms 5(a-1) and 3(a+2). When we do, we obtain 5a-5 and 3a+6.

Putting those back into our equation, we have:

5a-5-15=3a+6+4

Next, we combine all of the constants on either side:

5a-20=3a+10

Finally, we want to get the variable a by itself on one side of the equation, so we perform the following steps to isolate it:

5a=3a+30 (Add 20 to both sides)
2a=30 (Subtract 3a from both sides)
a=30/2=15 (Divide both sides by 2 to isolate a)

So, we obtain our answer of a=15.
alexandr402 [8]2 years ago
5 0
5(a-1) - 15 = 3(a+2) + 4
Open all parenthesis and distribute
5a - 5 - 15 = 3a + 6 + 4
Simplify
5a - 20 = 3a + 10
Add both sides by 20 and subtract both sides by 3a
2a = 30
a = 15
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g Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 12. Use the empirical rul
Galina-37 [17]

Answer:

a) 95% of people has an IQ score between 76 and 124​.

b) 0.3% of people has an IQ score less than 64 or greater than 136​.

c) 0.15% of people has an IQ score greater than 136

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 100

Standard deviation = 12

​(a) What percentage of people has an IQ score between 76 and 124​? ​

76 = 100 - 2*12

124 = 100 + 2*12

So within 2 standard deviations of the mean, and the percentage is 95%.

(b) What percentage of people has an IQ score less than 64 or greater than 136​?

64 = 100 - 3*12

136 = 100 + 3*12

99.7% of people has scores between 64 and 136. So 100 - 99.7 = 0.3% of people has an IQ score less than 64 or greater than 136​.

​(c) What percentage of people has an IQ score greater than 136​?

0.3% of people has an IQ score less than 64 or greater than 136​.

Since the normal distribution is symmetric, 0.3%/2 = 0.15% are below 64 are 0.15% are above 136.

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2 years ago
What is the measure of the missing side of the right triangle?
finlep [7]
B or 12 would be the correct choice!
Hope this helps and mark as brainliest please!
4 0
2 years ago
Read 2 more answers
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