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2 answers:
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Answer:
(1) The value of <em>X</em> is, 151.13.
This score X, is the <u>95th</u> percentile of systolic blood pressure scores among women. The percentile rank of this score is <u>95</u>.
(2) The percentage of women have systolic blood pressure in the range 140 to 159 is 9.01%.
(3) The percentage of women having systolic blood pressure below 90 is 21.19%.
Step-by-step explanation:
The random variable <em>X</em> is defined as the systolic blood pressure of women.
The distribution of <em>X</em> is, N (110, 25²).
(1)
The value of <em>z</em>-score that is in the bottom 95% is, 1.645.
Compute the value of <em>X</em> as follows:
The value of <em>X</em> is, 151.13.
This score X, is the <u>95th</u> percentile of systolic blood pressure scores among women. The percentile rank of this score is <u>95</u>.
(2)
Compute the probability of <em>X</em> between 140 and 159 as follows:
The percentage of systolic blood pressure between 140 and 159 is,
0.0901 × 100 = 9.01%
Thus, the percentage of women have systolic blood pressure in the range 140 to 159 is 9.01%.
(3)
Compute the probability of <em>X</em> below 90 as follows:
The percentage of women having systolic blood pressure below 90 is,
0.2119 × 100 = 21.19%.
Thus, the percentage of women having systolic blood pressure below 90 is 21.19%.
Answer: It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.
Step-by-step explanation:
Since we have given that
In ΔABC,
∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20
In ΔA'B'C',
∠A' = 6x + 10, ∠B' = 70 - x, and ∠C' = 10x 2
Since ΔABC gets a dilation by a scale factor of
So, it becomes,
Now, put the value of
It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.