What is value of x? Enter your answer in the box. x =

Mathematics

1 answer:

JulijaS [17]3 years ago

7 0

Answer:

x = 27

Step-by-step explanation:

There is a point in the figure that has no name. It is the point on segment BC, between B and C. Call that point D.

Angles BAD and CAD are shown to be congruent. That makes AD the bisector of angle ABC. Now you can use the Triangle Angle Bisector Theorem. This theorem gives you a proportion of side lengths.

AB/BD = AC/CD

Substitute the side lengths and solve for x.

(x + 8)/10 = (2x - 5)/14

14(x + 8) = 10(2x - 5)

14x + 112 = 20x - 50

-6x = -162

x = 27

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A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the prob

UkoKoshka [18]

Answer:

The probability that 8 mice are required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

$P(X=r)=^nC_r p^rq^{n-r}$