Answer:
b
Step-by-step explanation:
a translation is when it looks exactly the same but is on the other side of the line
Answer:
1)The dimensions you are solving for
length of the rectangular room
width of the rectangular room
2)Now let the length be L and the width be w then
the perimeter is 2L+2W
2L+ 2W = 24------------------------------(1)
Also, "Twice the length decreased by three times the width is 4 feet" can be written as
2L - 3W = 4-------------------------------------(2)
Solving (1) and (2) by elimination method, by subtraction
2L+ 2W = 24
2L - 3W = 4
(-) (-) (-)
----------------------------
0L +5W = 20
-----------------------------
5W = 20
W = 4--------------------------------------------(3)
Now by substitution method,substituting (3) in(1)
2L+ 2(4) = 24
2L + 8 = 24
2L = 24 -8
2L = 16
L = 8
Substituting in the original equation and rechecking the perimeter
=2(8) + 2(4)
=16 + 8
= 24
Thus the found dimensions are correct
3)The length of the room is 8 feet and the width of the room is 4 feet.
Answer:
70÷2=35
Step-by-step explanation:
Answer:
16%
Step-by-step explanation:
First, calculate the z-score.
z = (x − μ) / σ
where x is the value,
μ is the mean,
and σ is the standard deviation.
z = (12.5 − 11) / 1.5
z = 1
What this means is that 12.5 is 1 standard deviation above the mean.
According to the empirical rule, 68% of a normal distribution is between -1 and +1 standard deviations. That means 32% is outside of that range. Since normal distributions are symmetrical, we can say that 16% is less than -1 standard deviations, and 16% is greater than +1 standard deviations.
Therefore, the probability that a man's shoe is greater than or equal to 12.5 (greater than +1 standard deviations) is 16%.