x = points in first game
y = points in second game
6x=y to make them equal multiply the first games points by 6
x+y=35 the points in both games
x +6x = 35 substitute for y (y=6x)
7x=35 combine like terms
x=5
y=6x
y=6(5)
y=30 points
Answer:
C
Step-by-step explanation:
You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!
The answer will be 2. the gcf of the equation is 2 because 2 goes into 10 by 5 and into 4 by 2 leaving you with 2(5b^2+2a^3).
Im not completely sure, because I have to know what S and R mean; however, the equation is basically saying that the amount of money saved= is 450$ and every time he does “R”, he saves another 100$
Answer:
74.86% probability that a component is at least 12 centimeters long.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Variance is 9.
The standard deviation is the square root of the variance.
So

Calculate the probability that a component is at least 12 centimeters long.
This is 1 subtracted by the pvalue of Z when X = 12. So



has a pvalue of 0.2514.
1-0.2514 = 0.7486
74.86% probability that a component is at least 12 centimeters long.