Answer:
18
Step-by-step explanation:
Answer:
16.8
Step-by-step explanation:
84 / 5 = 16.8
Answer:
Slope
Step-by-step explanation:
Given
The above statement
Required
What compares the steep of linear functions
Literally, steepness means slope.
So, when the slope of the two linear functions are calculated, we can make comparison between the calculated slopes to determine which of the functions is steeper or less steep.
Also:
Higher slope means steeper line
e.g.
4 is steeper than 1
Answer:
0.0764
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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:
![\mu = 33, \sigma = 0.7](https://tex.z-dn.net/?f=%5Cmu%20%3D%2033%2C%20%5Csigma%20%3D%200.7)
What proportion of boxes is underweight (i.e., weigh less than 32 oz)?
This is the pvalue of Z when X = 32. So
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![Z = \frac{32 - 33}{0.7}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B32%20-%2033%7D%7B0.7%7D)
![Z = -1.43](https://tex.z-dn.net/?f=Z%20%3D%20-1.43)
has a pvalue of 0.0764, which is the correct answr
Answer:
105 degrees
Step-by-step explanation:
Recall that the sum of angles in a triangle is 180 degrees. As such, where a, b and c are the angles of a triangle then
a + b + c = 180 ( all in degrees)
Given that two angles of a triangle measure 55 and 20, let the size of gthe 3rd be T then
55 + 20 + T = 180
simplify
75 + T = 180
Subtract 75 from both sides
T = 180 - 75
T = 105