Answer:
and we can find this probability using the complement rule and we got:
So then we can conclude that approximately 8.38% of the men are taller than women
Step-by-step explanation:
Let X the random variable who represent the heights of women aged 20 to 29 and the distribution is given by:
And let Y the heights of men aged 20 to 29 and the distribution for Y is given by:
And for this case we want to find the following probability:
The distribution for Y-X is given by:
We can define the random variable Z= Y-X and the we can use the z score formula given by:
And using the z score formula we got:
and we can find this probability using the complement rule and we got:
So then we can conclude that approximately 8.38% of the men are taller than women
Reflected over x axis and rotated 180 degrees
Answer:
x + 3y = 3
Step-by-step explanation:
The standard form equation ...
ax +by = c
has slope -a/b. Here, we want -a/b = -1/3, and we want a > 0. We can choose ...
a = 1, b = 3
and we can find the constant c using the given point.
x +3y = 12 +3(-3) = 3
The desired standard-form equation is ...
x + 3y = 3
18 - 22 + 5x(66:3)
= 18 - 22 + 5x22
= -4 + 110
= 77
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Answer:
x = 16
Step-by-step explanation:
If the figure is a parallelogram, the opposite sides are the same length
3x+20 = 5x-12
Subtract 3x from each side
3x+20 -3x = 5x-12-3x
20 = 2x-12
Add 12 to each side
20+12 = 2x-12+12
32 = 2x
Divide each side by 2
32/2 = 2x/2
16 =x