Answer:
0.002
Step-by-step explanation:
We need to estimate the standard error of the mean, so we can use it as a standard deviation of the sample of 50 males.
Standard error of the mean = standard deviation/√n
Standard error of the mean = 32/√50 = 4.52
Now we can use this Standard error of the mean to estimate z as follows:
Z = (x – mean)/standard deviation
Z = (190-177)/4.52
Z = 2.87
Using a Z table we can find probability that mean is under 190
P (z<190)= 0.998
For the probability that the mean exceed 190 lbs we substract from 1
P(z>190) = 1 - 0.998 = 0.002
Answer:
45 in²
Step-by-step explanation:
Since it's a 45-45-90 triangle, the legs are equal length. The legs are the sides that are not the hypotenuse. The hypotenuse is the side opposite the 90° angle. Here, the legs are both 6. This is also the height of the parallelogram.
The formula for area of a parallelogram is
A = LH where L is the side length, and H is the height
So the area is
A = 7.5(6) = 45 in²
Answer:
XS is 9 inches long.
Step-by-step explanation:
Given that
YS is the perpendicular bisector of XZ.
Length of XZ = 18 inches
To find:
Length of XS = ?
Solution:
First of all, let us learn about the perpendicular bisector.
Perpendicular bisector of a line <em>AB</em> is a line <em>PQ</em>, which divides the line AB in two equal parts and is at an angle of
with the line AB.
If B is on the line PQ, then
and

Applying the above property in our given question.
Kindly refer to the attached image for the given dimensions.
S is on the line XZ.

So, the answer is XS is 9 inches long.
Answer: It would be B 9/50
Step-by-step explanation: if you take 3/7 and x it by 0.1 you get 0.04285714285 and then if you divide that by 5/21 you get 0.18 which equals 9/50 as a fraction
Answer:
1857 miles.
Step-by-step explanation:
We have been given that the scale on a map is 1 cm:30 mi. The distance on the map between San Francisco, CA, and Chicago, IL, is 61.9 cm. We are asked to find the actual distance between San Francisco and Chicago.
We will use proportions to solve our given problem.

Upon substituting map distance between San Francisco and Chicago, we will get:




Therefore, the actual distance between San Francisco and Chicago is 1857 miles.