Find the value of x. If necessary, round to the nearest tenth.
2 answers:
Answer: 7.3 in
Step-by-step explanation:
To find the the value of x, we will simply use the formula of area of a triangle, substitute the values and then solve.
From the diagram above, the height of the triangle is x and also the base of the triangle is also x, the area of the triangle is 27 sq. in
Area of a triangle = base × height
27 = × x × x
27 = × x²
27 =
cross multiply
2 × 27 = x²
54 = x²
Take the square roots of both-side
√54 = √x²
7.3 = x
x = 7.3
Therefore the value of x is 7.3 in.
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Answer:
Test scores of 10.2 or lower are significantly low.
Test scores of 31 or higher are significantly high
Step-by-step explanation:
Z-score:
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:
Significantly low:
Z-scores of -2 or lower
So scores of X when Z = -2 or lower
Test scores of 10.2 or lower are significantly low.
Significantly high:
Z-scores of 2 or higher
So scores of X when Z = 2 or higher
Test scores of 31 or higher are significantly high