f(x) = mx + b
m = slope = -5
f(2) = 10 = (-5)(2) + b
b = 10 + 10 = 20
Ans. m=-5, b = 20
Answer:
6x^2+5x-6
Step-by-step explanation:
Answer:
a) The mean is 
b) The standard deviation is 
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions 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:

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.
The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.
This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when 
So




The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.
This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when 
So




Since we also have that 





Question
The mean is 
The standard deviation is 
The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.
<h3>
Inequality</h3>
Inequality is the non equal comparison of two or more numbers and variables.
Let x represent the number of wallpapers and y represent the number of cans.
He needs at least 30 rolls of wallpaper and at least 20 cans of paint. Hence:
x ≥ 30 (1);
y ≥ 20 (2)
Also:
32x + 28y ≤ 2240 (3)
Plotting the 3 equations using geogebra online graphing tool, the possible solution is:
(30, 20), (30, 46)
The possible solution is having 30 rolls of wallpaper and 20 can of paints or 30 rolls of wallpaper with 46 can of paint.
Find out more on Inequality at: brainly.com/question/24372553