Answer:
111 points
Step-by-step explanation:
First, thing I like to do is to convert word problems into an eqaution or write down the important information. So, Math = 37 points and now the points are tripled because of where she placed the word. Also, tripled is implying that her base score for the word is 3 times the original value.
So, 
= 111 points.
Answer:
Step-by-step explanation:
Simplifying
3x + 5 = x + 17
Reorder the terms:
5 + 3x = x + 17
Reorder the terms:
5 + 3x = 17 + x
Solving
5 + 3x = 17 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
5 + 3x + -1x = 17 + x + -1x
Combine like terms: 3x + -1x = 2x
5 + 2x = 17 + x + -1x
Combine like terms: x + -1x = 0
5 + 2x = 17 + 0
5 + 2x = 17
Add '-5' to each side of the equation.
5 + -5 + 2x = 17 + -5
Combine like terms: 5 + -5 = 0
0 + 2x = 17 + -5
2x = 17 + -5
Combine like terms: 17 + -5 = 12
2x = 12
Divide each side by '2'.
x = 6
Simplifying
x = 6
Answer:
The probability that 75% or more of the women in the sample have been on a diet is 0.037.
Step-by-step explanation:
Let <em>X</em> = number of college women on a diet.
The probability of a woman being on diet is, P (X) = <em>p</em> = 0.70.
The sample of women selected is, <em>n</em> = 267.
The random variable thus follows a Binomial distribution with parameters <em>n</em> = 267 and <em>p</em> = 0.70.
As the sample size is large (n > 30), according to the Central limit theorem the sampling distribution of sample proportions (
) follows a Normal distribution.
The mean of this distribution is:

The standard deviation of this distribution is: 
Compute the probability that 75% or more of the women in the sample have been on a diet as follows:

**Use the <em>z</em>-table for the probability.

Thus, the probability that 75% or more of the women in the sample have been on a diet is 0.037.