X + (1/x) = 4*(1/x)
(x^2 +1)/x = 4/x
x^2+1=4
x^2 = 3
x= 3^(1/2)
Answer:
Due to the higher z-score, Jane did better in class.
Step-by-step explanation:
Z-score:
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 question:
Whoever's grade had the better z-score did better in class.
Mary's:
Mean of 85, standard deviation of 5, grade of 88. This means that
. So



Jane's
Mean of 80, standard deviation of 10, grade of 88. This means that
. So



Due to the higher z-score, Jane did better in class.
Given:

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15
To find:
The scale factor from PQRS to TUVW.
Solution:
We have,

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.
The scale factor is:



Therefore, the scale factor from PQRS to TUVW is
.
Answer:
See below.
Step-by-step explanation:
The table shows the total number of students as 572 (bottom right cell in the table.)
The number of students who are 17 or older are the students in the two groups: 17-18 and 19-20.
There are 151 students with ages 17-18.
There are 34 students with ages 19-20.
The total of all students 17 or older is 151 + 34 = 185.
The probability of choosing a student age 17 or older is the number of students 17 or older (which is 185) divided by the total number of students (which is 572).
p(17 or older) = 185/572 = 0.3234 = 32.34%
We round 32.34% to the nearest integer to get 32%.