Answer:
Step-by-step explanation:
1) the triangle is right, so we can use the Pythagorean theorem
x^2 + 24^2 = (16+x)^2
x^2 + 576 = x^2 + 256 + 32x
32x = 320
x = 10
2) the two segment are congruent, so
7x - 13 = 9x - 23
2x = 10
x = 5
The answer is -114 remember a negative minus a positive is always a negative, hope this helped!
Answer:
95% of premiums that are between $600 and $1300.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 950
Standard deviation = 175
Estimate the percent of premiums that are between $600 and $1300.
600 = 950 - 2*175
So 600 is two standard deviations below the mean.
1300 = 950 + 2*175
So 1300 is two standard deviations above the mean
By the Empirical Rule, 95% of premiums that are between $600 and $1300.
Two solutions were found :
<span><span> x = -1/3 = -0.333
</span><span> x = 1
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