Step-by-step explanation:
2(3)
2×3=6
6×6=36
36 is the correct answer i hope it helps you
<h3>
Answer: B) 2</h3>
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Explanation:
Take away the four white small squares on the left side. To balance things out, you have to add 4 black squares to the right side.
Also, take away the two white long rectangles from the right side. To balance this out, you have to add 2 gray long rectangles to the left side.
You should have:
- 5 gray rectangles, and no squares (of any color) on the left side
- 10 black squares, no long rectangles (of any color), on the right side
From here you'll group up the 10 black squares so that you'll have 2 black squares per gray rectangle.
This means the solution is 2.
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If you're curious about the algebraic way to solve, then you could do this:
3x-4 = -2x+6
3x+2x = 6+4
5x = 10
x = 10/5
x = 2
This method doesn't require us to use the visual model.
Answer:
P(57 < X < 69) = 0.1513
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:

Find P(57 < X < 69):
This is the pvalue of Z when X = 69 subtracted by the pvalue of Z when X = 57. So
X = 69



has a pvalue of 0.9564
X = 57



has a pvalue of 0.8051
0.9564 - 0.8051 = 0.1513
P(57 < X < 69) = 0.1513
9514 1404 393
Answer:
- f(g(2)) = 14
- g(f(-2)) = 91
Step-by-step explanation:
g(2) = 4(2^2) -9 = 4(4) -9 = 7
f(7) = 7+7 = 14
f(g(2)) = 14
__
f(-2) = -2 +7 = 5
g(5) = 4(5^2) -9 = 4(25) -9 = 91
g(f(-2)) = 91