Let m the tens digit and n the ones
the Original number is 10m+n
7(m+n) =10m+n
7m+7n=10m+n
6n=3m
Reversing the number 10n+m
10n+m=18+n+m
9n=18
n=2
6n=3m
6(2)=3m
3m=12
m=4
the number is 10m+n=10(4)+2=42
Answer:
See below in bold.
Step-by-step explanation:
If we add the 2 equations we eliminate x and we get 2y =2.
So y = 1.
Substituting y = 1 in the second equation 1 = x - 3.
So x = 4.
A. One solution: (4, 1).
If we drew a graph we would have 2 lines which intersect at the point (4, 1).
Answer:
yes it is
Step-by-step explanation:
plug x and y in
3 * 5 - 10 = 5 <== And this is true
Answer:
a. 2x + 4
Step-by-step explanation:
Four more than twice a number
Let x = unknown number
Four more than twice of x
Twice of x can be written as 2x
Four more than 2x
Four more can be written as + 4
We get 2x + 4
Answer:
2.28% of tests has scores over 90.
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 proportion of tests has scores over 90?
This proportion is 1 subtracted by the pvalue of Z when X = 90. So



has a pvalue of 0.9772.
So 1-0.9772 = 0.0228 = 2.28% of tests has scores over 90.