Please see the pic, I'd solved in it.
100%-> 2900
1%-> 2900/100
=29
29-> 1%
1595->?
1595/29=55
29->1%
1595->1 x 55
=55%
So, 55% is your answer !!
Hope this helps :)
Answer:
The first quartile of the IQ scores of adults is 82.26.
Step-by-step explanation:
The first quartile is the value that is greater than 25% of the observations and less than 75% of the observation.
The formula to compute the first quartile (Q₁) of a Normal distribution is:
The mean and standard deviation of the IQ scores of adults are:
Compute the first quartile value as follows:
Thus, the first quartile of the IQ scores of adults is 82.26.
Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept
We have the slope m = -1/5. Substitute:
Put the coordinates of the given point (-3, 7) to the equation:
<em>subtract 3/5 from both sides</em>
The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>
The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.
i.e.
By factorization, we have:
Now, to get exactly 30 divisor.
- (p+2)² requires to give us 15 factors.
Therefore, we can have an equation p + 2 = p₁ × p₂²
where:
- p₁ and p₂ relate to different values of odd prime numbers.
So, for the least values of p + 2, Let us assume that:
p + 2 = 5 × 3²
p + 2 = 5 × 9
p + 2 = 45
p = 45 - 2
p = 43
Therefore, we can conclude that the smallest prime number p such that
p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
Learn more about prime numbers here:
brainly.com/question/145452
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