Answer:
1. 103
2. 67
3. 15
4. 44
Step-by-step explanation:
subtracting the sum of two given angles from 180.
Answer:
=46.27in
Step-by-step explanation:
Answer: The sphere is 0.002548 cm travel up the plane.
Step-by-step explanation:
Since we have given that
Inclination angle = 30°
Translational speed = 0.25 m/s
As we know that

and
Length of solid sphere is given by

So, it becomes,

And 
So, it becomes,

Hence, the sphere is 0.002548 cm travel up the plane.
If the measure of each exterior angle is 24, the measure of each interior angle is then 180-24=156
the sum of the interior angles of a polygon is (n-2)*180, n is the number of sides
(n-2)*180=156*n
180n-360=156n
24n=360
n=15
the polygon has 15 sides
Answer:
99.89% of students scored below 95 points.
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.
In this problem, we have that:

What percent of students scored below 95 points?
This is the pvalue of Z when X = 95. So



has a pvalue of 0.9989.
99.89% of students scored below 95 points.