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2 years ago

In the image shown line n is a transversal cutting parallel lines l and m

Mathematics

1 answer:

Gelneren [198K]2 years ago

3 0

the answer to your question is C

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Suppose that x is a binomial random variable with n=5, p=. 3,and q=. 7.1. Write the binomial formula for this situation and list

Radda [10]

Answer:

$P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}$

Possible values of x: Any from 0 to 5.

$P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807$

$P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015$

$P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087$

$P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323$

$P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835$

$P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243$

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this question:

$n = 5, p = 0.3, q = 1 - p = 0.7$

$P(X = x) = C_{5,x}.(0.3)^{x}.(0.7)^{5-x}$

Possible values of x: 5 trials, so any value from 0 to 5.

For each value of x calculate p(☓ =x)

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{5,0}.(0.3)^{0}.(0.7)^{5-0} = 0.16807$

$P(X = 1) = C_{5,1}.(0.3)^{1}.(0.7)^{5-1} = 0.36015$

$P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{5-2} = 0.3087$

$P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{5-3} = 0.1323$

$P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{5-4} = 0.02835$

$P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{5-5} = 0.00243$

8 0

3 years ago

The rabbit population in Jefferson County, which is currently at 8,400 rabbits, is increasing by 5% each year. How many rabbits

drek231 [11]

Answer:

11,340

Step-by-step explanation:

5% = 420 420 x 7 = 2940

2940 + 8400 = 11,340

4 0

2 years ago

PLEASEE HELPPP TEST DUE IN 20 MINUTES!! A Question 2 (2 points) Retake question

shtirl [24]

Answer:

D. 25

Step-by-step explanation:

To find the new value of c when completing the square, use the formula $(\frac{b}{2} )^{2}$ .

Plugging in the given values:

$(\frac{10}{2} )^{2}$

(5)²

= 25

hope this helps!

6 0

2 years ago

Read 2 more answers

Classify the following polynomials. Combine any like terms first.

notsponge [240]

Answer:

1. 6x

2. x^27+1

3. x^27+1

4. 7x+1936

5. -5x

Step-by-step explanation:

hope it helps

5 0

2 years ago

Selecting a red pen and then a blue pen, when selecting 2 pens from a bag of 10 red pens

WITCHER [35]

What? That’s not possible because there’s no blue pens. If that’s the awnser?

4 0

3 years ago