Answer:
The range of the 95% data (X) = 238.3 days < X < 289.9 days
Step-by-step explanation:
Given;
mean of the normal distribution, m = 264.1 days
standard deviation, d = 12.9 days
between two standard deviation below and above the mean is 96% of all the data.
two standard deviation below the mean = m - 2d
= 264.1 - 2(12.9)
= 238.3 days
two standard deviation above the mean = m + 2d
= 264.1 + 2(12.9)
= 289.9 days
The middle of the 95% of most pregnancies would be found in the following range;
238.3 days < X < 289.9 days
Answer:
$54.40
Step-by-step explanation:
First, find the new price after the 20% markdown:
80(0.8)
= 64
Then, find the price with the 15% markdown:
64(0.85)
= 54.4
So, the new price of the coat is $54.40
Let x be her initial distance from the building, then tan 37 = 130/x
x = 130/tan 37 = 130/0.7536 = 172.5 feet
Let y be her distance from the building after moving forward, then
tan 40 = 130/y
y = 130/tan 40 = 130/0.8391 = 154.9
After moving forward, she is 172.5 - 154.9 = 17.6 ft closer.
No, he forgot to add the area of the triangles to the area of the rectangle.
It is said that Jeremy thought he solved for the area of the whole parallelogram correctly by multiplying the base and height of the rectangle, which is just a part of the whole parallelogram.
Jeremy’s answer is incomplete, he only calculated the area of the triangle as the answer.
This is because one way of finding an area of a parallelogram is dividing the shape into a rectangle with a triangle on each side.
The real area of the parallelogram is 70 cm^2
(with areas of each triangles added)
With that being said, the formula of a parallelogram that is said is:
A = bh
Which means a height perpendicular to the base of the whole paralleogram.
