Answer:The area of the base will be (1)(3) m
The area of the right and left lateral faces will be (1)(2) = 2m
The area of the front and back lateral faces will be (2)(3) = 6m
The lateral area of the prism will be 16 m
Step-by-step explanation:
9514 1404 393
Answer:
3) y = -1
5) x = -14
Step-by-step explanation:
The first step is to recognize that the equation describes a vertical line in problem 3 and a horizontal line in problem 5. The perpendicular to a vertical line is a horizontal line, and vice versa.
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3. To make the desired horizontal line go through the point (-8, -1) the y-value of the line must match that of the point:
y = -1
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5. To make the desired vertical line go through the point (-14, 81), the x-value of the line must match that of the point:
x = -14
Answer:
His actual score is 15
Step-by-step explanation:
Here, we are interested in calculating Wayne’s actual score on the ACT
when we say the scores have being standardized, it means the score was reported in terms of the z-score and not the initial raw scores.
Now, mathematically, for the scores to have a negative z-score, it means it is actually below the mean.
The formula for the z-score or standard score is given below;
z-score = (x - mean)/SD
where in this case, x = ? which is the score we are looking for , z-score = -0.5 , mean score = 18 and standard deviation of the scores = 6
So, substituting these values into the z-score equation, we have;
-0.5 = (x-18)/6
x-18 = 6(-0.5)
x -18 = -3
x = -3 + 18
x = 15
It is a percent decrease because the original is less than the final value and the answer is -24% decrease. Please give me brainless if right.
