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Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

5 0

The equation would be y = -(3/4)x+1

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What is the value of x the in the figure below? In this diagram, ABD~CAD

AURORKA [14]

Answer:

F. 45/4

Step-by-step explanation:

hypotenuse/long leg of both triangles:

15/20=x/15
x=15*15/20
x=45/4

8 0

3 years ago

Graphically, a point is a solution to a system of two inequalities if and only if the point lies in the shaded region of the top

SOVA2 [1]

Answer:

lies in the shaded regions of both the top and bottom inequalities

Step-by-step explanation:

For a point to be a solution of two inequalities, it must lie in both solution sets. It ...

lies in the shaded regions of both the top and bottom inequalities

6 0

3 years ago

Read 2 more answers

If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geomet

morpeh [17]

Answer:

The probability is 0.0428

Step-by-step explanation:

First, let's remember that the binomial distribution is given by the formula:

$P(X=k) =\left[\begin{array}{ccc}n\\k\end{array}\right] p^{k}(1-p)^{n-k}$ where k is the number of successes in n trials and p is the probability of success.

However, the problem tells us that when there isn't a number of trials fixed, we can use the geometric distribution and the formula for getting the first success on the xth trial becomes:

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

The problem asks us to find the probability of the first success on the 4th trial (given that the first subject to be a universal blood donor will be the fourth person selected)

Using this formula with the parameters given, we have:

p = 0.05

x = 4

Substituting these parameters in the formula and solving it, we get:

$P(X=4) = 0.05(1-0.05)^{4-1}\\P(X=4) = 0.05 (0.95)^{3}\\P(X=4) = 0.05(.8573)\\P(X=4) = 0.0428$