Answer:
w<-6
Step-by-step explanation:
11w+99<33
-99
11w<-66/11
The last equation is the correct one since if we multiply the slope of the given line by the slope of the line of this equation, you'll get -1, and if you substitute the coordinates of the given point in this equation, you'll get -2=3/2(-2)+1=-2 which means that this point belongs to the line of this equation
The equation that describes the number of tickets Rudolph can buy will be 25r + 10g = 150.
- Let the reserved tickets be represented by r.
- Let the general admission be represented by g.
Therefore, the equation will be 25r + 10g = 150.
The number of tickets that Rudolph can buy if he buys only reserved seat tickets will be:
= $150 / $25 = 6
The number of tickets that Rudolph can buy if he buys only general admission tickets will be:
= $150 / $10 = 15
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B=A-6
A+B=22
substitute: A+(A-6)=22 =>A=14
B=14-6=8
8 years later, Amy will be 22, Bill will be 14
Answer:
C. 59.01%
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:

What percentage of fourth graders are between 50 inches and 56 inches?
This is the pvalue of Z when X = 56 subtracted by the pvalue of Z when X = 50.
X = 56



has a pvalue of 0.8729
X = 50



has a pvalue of 0.2843.
0.8729 - 0.2843 = 0.5886, which is close to 59.01%.
So the correct answer is:
C. 59.01%