Answer:
16y - 4
Step-by-step explanation:
4y(4y - 4) - 4(- 4 + 5 + 4y^2)
16y - 16y - 4(1 + 4y^2)
16y - 16y - 4(4y^2 + 1)
16y^2 - 16y^2 + 4
16y - 4
Answer:
the answer is A because 3 + 5 is 8 :) made a 100 btw :3
Step-by-step explanation:
Answer:
17.5 in
Step-by-step explanation:
Step one:
given
The perimeter of a rectangle is 53 inches
let the two shorter sides be the width w
so w+w= 18in
the two longer sides is L
L+L=2l
Step two:
but the expression for the perimeter of a rectangle is
P=2W+2L
53= 18+2L
53-18=2L
35=2L
divide both sides by 1
L=35/2
L=17.5
Answer:
0.3075 = 30.75% probability that a person will wait for more than 7 minutes.
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.
The standard deviation is the square root of the variance.
In this problem, we have that:

Find the probability that a person will wait for more than 7 minutes.
This is 1 subtracted by the pvalue of Z when X = 7. So



has a pvalue of 0.6915
1 - 0.6915 = 0.3075
0.3075 = 30.75% probability that a person will wait for more than 7 minutes.
Answer:
m<4 = 34°
Step-by-step explanation:
m<2 = 34° (given)
m<3 + m<2 = 180° (linear pair)
m<3 + 34° = 180° (substitution)
Subtract 34° from each side
m<3 = 180° - 34°
m<3 = 146°
m<4 + m<3 = 180° (linear pair)
m<4 + 146° = 180° (substitution)
Subtract 146° from each side
m<4 = 180° - 146°
m<4 = 34°
This shows that vertical angles are congruent.
m<2 and m<4 are vertical angles formed when two straight line intersects. They are both of equal measure.