Answer:
The probability is 0.057797
Step-by-step explanation:
Consider the provided information.
It is given that true percentage of voters who vote for the proposition is 63%,
Let p is probability of success.
According to the binomial distribution:
Substitute n=7, p=0.63 and x=2 in the above formula.
Hence, the probability is 0.057797
Answer:
10
Step-by-step explanation:
a = 2 and b= 3
(a + b)2
(2 + 3)2
10
The given polyn. is not in std. form. To answer this question, we need to perform the indicated operations (mult., addn., subtrn.) first and then arrange the terms of this poly in descending order by powers of x:
P(x) = x(160 - x) - (100x + 500)
When this work has been done, we get P(x) = 160x - x^2 - 100x - 500, or
P(x) = -x^2 + 60x - 500
So, you see, the last term is -500. This means that if x = 0, not only is there no profit, but the company is "in the hole" for $500.
Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.
a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13
b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7
c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13
Answer:
16
Step-by-step explanation:
20% = 0.2
80 x 0.2 = 16
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