Answer:
a) 280.4; b) E. Yes, because 300 is greater than mu plus 2 sigma .
Step-by-step explanation:
For part a, we multiply the percentage of murders committed by a firearm by the total number of murders:
0.701(400) = 280.4
This will be the average number of murders by a firearm out of a sample of 400.
Since this is a binomial distribution (two outcomes; independent trials; same probability of success for each trial; and fixed number of trials), the standard deviation is given by
√npq
Since n = 0.701, q = 1-0.701 = 0.299.
This gives us
√(400*0.701*0.299) = √83.8396 = 9.16
This means any unusual values will be less than 2 standard deviations below the mean or more than 2 standard deviations above the mean.
2 standard deviations below the mean will be 280.4-2(9.16) = 280.4-18.32 = 262.08. 300 is not below this value.
2 standard deviations above the mean will be 280.4+298.72. 300 is above this, so it is an unusual value.
AN = (1/2^N-1) A1 { in general AN= (r^N-1) A1
<span>A5 = (1/2^4) 40 = 40/16 = 0.5
</span>
So the answer to your question is 0.5
Answer:
C:8 <em><u>units</u></em><em><u> </u></em><em><u>to</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>r</u></em><em><u>ight</u></em><em><u> </u></em><em><u>and </u></em><em><u>7</u></em><em><u> </u></em><em><u>unit</u></em><em><u>s</u></em><em><u> </u></em><em><u>up</u></em>
Step-by-step explanation:
sana po makatulong Yan
9514 1404 393
Answer:
a. (5x+2)(5x+2)
Step-by-step explanation:
You will recognize that the first (25x^2) and last (4) terms are perfect squares. The middle term is double the product of the roots of those squares:
2(5x)(2) = 20x
This means the given expression is a perfect square trinomial, and that it is the square of (5x+2). This matches the first choice.
25x^2 +20x +4 = (5x +2)^2 = (5x +2)(5x +2)
_____
Generically, ...
(a +b)^2 = a^2 +2ab +b^2
Here, we have a=5x, b=2.