I think that the theorem is the consecutive exterior angle theorem.
Answer:
Step-by-step explanation:
x^2 - 10x + 29
x^2 - 10x = -29
x^2 -10x + 25 = -29 + 25
(x - 5)^2 = -4
(x - 5)^2 + 4 <==
Step-by-step explanation:
3 + 6 / 2 = 8
hope this helps you
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Answer:
Option D
Step-by-step explanation:
<u>Convert to slope-intercept form:</u>
<u>Find the x-intercept by plugging in y=0:</u>
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Therefore, the x-intercept is
<u />
<u>Find the y-intercept by plugging in x=0:</u>
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Therefore, the y-intercept is
So, the correct answer is option D.
This problem is an example of binomial probability. In
this case, we can use the formula:
P (r) = [n! / (n – r)! r!] p^r q^(n-r)
where,
n = total number of babies = 11
r = selected number of babies
p = success of being a girl = 0.5
q = 1 – p = 1 – 0.5 = 0.5
Since we are asked to find for the P (r less than or
equal 9), therefore:
P (r less than or equal 9) = 1 – [P(11) + P(10)]
P(11) = [11! / (11 – 11)! 11!] 0.5^11 * 0.5^(11-11) = 4.8828
* 10^-4
P(10) = [11! / (11 – 10)! 10!] 0.5^10 * 0.5^(11-10) = 5.3711
* 10^-3
Therefore:
P (r less than or equal 9) = 1 – [4.8828 * 10^-4 + 5.3711
* 10^-3]
P (r less than or equal 9) = 0.994
The closest answer is letter C:
C = 509/512 = 0.994