Answer:
84.13% probability a particular tire of this brand will last longer than 57,100 miles
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
What is the probability a particular tire of this brand will last longer than 57,100 miles
This is 1 subtracted by the pvalue of Z when X = 57100. So
has a pvalue of 0.1587
1 - 0.1587 = 0.8413
84.13% probability a particular tire of this brand will last longer than 57,100 miles
Answer:
x= 45
Step-by-step explanation:
The formula for the volume, V of a cone is V = (1/3)*π*(radius)^2 * height.
So, as you see you have two variables, radius and height, which means that there are different combinations of radius and height that lead to the same volume.
That implies that your questions is missing some information.
I searched for it and found that the question has a list of answer choices. This is the list:
a) radius 6 inches, height 3 inches
b) diameter 6 inches, height 3 inches
c) diameter 4 inches, height 6 inches
d) diameter 6 inches, height 6 inches
Now you can probe those options to see which leads to an approximate volume of 28 cubic inches.
a) radius 6 in, height 3 in
=> V = (1/3)*3.14*(6in)^2 * 3in = 113.04 in^3 => not possible
b) diameter 6 in, height 3 incdiameter 6 in => radius 3 in=> V = (1/3)*3.14*(3in)^2 * 3in = 28.26 in^3 => this is the answerThe other options lead to values far from 28 in^3.Answer: diameter 6 inches, height 3 inches.
Answer:
The answer is 14.8256594724
Step-by-step explanation:
Area = side length²
Because it's a square, all of the side lengths are equal.
15 = s²
s = √(15)
s = √(15) inches
Hope this helps!