8. The logo for a company is a regular hexagon inscribed inside a circle. The logo will

Mathematics

1 answer:

fgiga [73]2 years ago

5 0

Divide the hexagon into 6 equal streak triangles which would have side length equal to the radius of the circle.

the area of an equal lateral triangle = sqrt(3)/4 x radius^2

the area of the hexagon would be 6 x sqrt(3)/4 x radius^2

Area = 6 x sqrt(3)/4 x 8^2 = 166.2768 square feet

rounded to the nearest whole foot = 166 square feet.

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Evaluate the determinate:

bearhunter [10]

Answer:

Step-by-step explanation:

detailed explanation showed in the diagram above

7 0

2 years ago

Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one

oksano4ka [1.4K]

Answer:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=1-0.09=0.91)$