for 1st
use the formula of inlargement
A(x,y)when enlarging by scale factor k gives A'(kx,ky)
for 2nd
a=
(2a+3)-(a-5)(2a+2)+a^2
b=
3y(7y-8)
Answer:
24 for estimate, the accurate is 25.2
Step-by-step explanation:
surveyed total = 30
9 = run 5> days a week
84 = total members
9/30 = percent of members who run 5> days a week
9/30 => 3/10
percent of members who run 5> days a week * total members = number of members who run 5> days a week
3/10 x 84 = 25.2 members
84 = 80
3/10 x 80 = 24
24, a reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week.
Answer:
9.18% probability that a randomly selected person sleeps 6 hours or less
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 is the probability that a randomly selected person sleeps 6 hours or less?
This is the pvalue of Z when X = 6. So



has a pvalue of 0.0918
9.18% probability that a randomly selected person sleeps 6 hours or less
Answer:
D
Step-by-step explanation:
Assuming you mean

first term is n=1, so 1²+3=1+3=4
2nd is n=2 so 2²+3=4+3=7
3rd is n=3 so 3²+3=9+3=12
the first 3 terms are 4,7,12