Write the following inequality in slope-intercept form.
19x - y > 2

y > 19x - 2

Step-by-Step Explanation:

Slope-intercept form is y = mx + b. In this case it is y > mx + b.

2 is our b and 19x is our mx.

We need to put the y on one side and the other terms on the other side of greater than sign. When we switch which term the side is on, we have to change the operation. If it is a negative number it turns positive and vice-versa. Our y can't be negative so we need to put it on the right side to change it to a positive.

19x > y + 2

Now we need to get the 2 on the same side as the 19x. So we bring it to the other side and switch the operation.

19x - 2 > y

Now we are just going to flip both sides to get the y on the left and the 19x - 2 on the right.

y > 19x - 2

I hope thay made sense.

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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