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3 years ago

Which of these equations does not have any solutions?

Mathematics

1 answer:

Readme [11.4K]3 years ago

7 0

the answer is C........

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Sixty percent of U.S. adults trust national newspapers to present the news fairly and accurately. You randomly select nine U.S.

Pavel [41]

Answer:

a) 0.251

b) 0.483

c) 0.0994

Step-by-step explanation:

We are given the following information:

We treat adult adults trusting national newspapers to present the news fairly and accurately as a success.

P(Adult trust) = 60% = 0.6

Then the number of adults follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 9

a) exactly five

$P(x = 15) = \binom{9}{5}(0.6)^{5}(1-0.6)^{9-5} = 0.2508 \approx 0.251$

b) at least six

We have to evaluate

$P(x \geq 6) = P(x = 6) + P(x = 7) + P(x=8) + P(x=9) \\= \binom{9}{6}(0.6)^6(1-0.6)^3 + \binom{9}{7}(0.6)^7(1-0.6)^2 + \binom{9}{8}(0.6)^8(1-0.6)^1 +\binom{9}{9}(0.6)^9(1-0.6)^0\\= 0.482609 \approx 0.483$

c) less than four

We have to evaluate

$P(x < 4) = P(x = 0) + P(x = 1) + P(x=2) + P(x=3) \\= \binom{9}{0}(0.6)^0(1-0.6)^9 + \binom{9}{1}(0.6)^1(1-0.6)^8 + \binom{9}{2}(0.6)^2(1-0.6)^7 +\binom{9}{3}(0.6)^3(1-0.6)^6\\= 0.099352 \approx 0.0994$

3 0

3 years ago

Insert < >, or > in the appropriate space to make a true statement. | -8] __ -1

Katyanochek1 [597]

-8 < -1

hope this helps :)

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2 years ago

Robert climbed 775 steps in 12 1/2 minutes. How many steps did he average per minute?

MA_775_DIABLO [31]

To find the rate, divide the number divided by the amount of minutes. So 775 divided by 12.5 which is 62.

62 steps per minute

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3 years ago

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Y=mx+b<br> What does mx stand for in the equation y=mx+b

Kryger [21]

Mx stands for the slope

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3 years ago

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Quadrilateral ABCD is similar to quadrilateral EFGH the length of the three longest side in quadrilateral ABCD are 24 feet 16 fe

Triss [41]

Check the picture below

solve for "x"

since we know the two smallest sides for EFGH are 9 and 18, 9 is the smallest of all, and 18 is the next small

thus, for the the quadrilateral ABCD, the smallest is "x" and the next small is given, is 12, since that's smaller than 16 or 24

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3 years ago