Answer: The answer is 30 sq.ft/min and 25 sq.ft/min.
Step-by-step explanation: Given that there are two spray paint machines. The first machine (nicknamed "Paint Pro") is used for two hours and the second machine (nicknamed "Goldilocks") is used for an hour and a half. When they are working at the same time, they can paint 55 square feet per minute and together they painted 5850 square feet of wall.
Let 'x' and 'y' sq.ft/min be the portion of the wall painted by Paint Pro and Goldilocks respectively.
Then, according to the question, we have
Multiplying first equation by 4 and subtracting the second equation from it, we have
and
Thus, Paint Pro will paint 30 sq.feet per minute and Goldilocks will paint 25 sq.ft per minute.
Answer:
b) 0.025
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:
The proportion of adults with scores above 130 is closest to
This proportion is 1 subtracted by the pvalue of Z when X = 130. So
has a pvalue of 0.9772
1 - 0.9772 = 0.0228
Closest to 0.025
So the correct answer is:
b) 0.025
Answer:
0,0
Step-by-step explanation:
Use desmos for things like this. It is a math graphing calculator that my algebra teacher showed me.
Answer:
(f + g)(x) = 3x² + x + 5
(f - g)(x) = 3x² - x - 3
Step-by-step explanation:
(f + g)(x) → f(x) + g(x) → <u>3x² + 1</u> + <u>x + 4</u>
Combine like terms and you get: 3x² + x + 5
(f - g)(x) → f(x) - g(x) → <u>3x² + 1</u> - (<u>x + 4</u>)
Remember to distribute the neg. everything in the parentheses. Combine like terms and you get: 3x² - x - 3
Inverse variation means y=k/x (direct variation is y=kx)
You are given a point, so you can solve for the constant k...
2=k/15
k=30 so the function is:
y=30/x
