Which expression is equivalent to 3(m − 3) + 4?

3m + 1
3m − 5
3m + 13
3m − 3

3m - 5

Step-by-step explanation:

3(m - 3) + 4           Distribute the 3

3m - 9 + 4             Simplify

3m - 5

So let's simplify this problem using the distributive property.

The first thing we want to do is change the minus to plus a negative. Now we can distribute or multiply this 3 times each of the terms inside the set of parentheses.

So we get 3 (m) + 3 (-3) + 4 and this simplifies to 3m + -5.

3m + -5 means the same exact thing as 3m - 5.

Work is also attached in the image below.

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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