All categories

2 years ago

Can someone help please

Mathematics

1 answer:

Elena L [17]2 years ago

4 0

9514 1404 393

Answer:

4. n = 4

5. P(A|B) = 0.75

Step-by-step explanation:

4. The coefficient of x will depend on n. The expansion is ...

(5 +nx)^2(1 +3/5x)^n = (25 +10nx +n^2·x^2)(1 +3/5nx +...)

So, the x-term of the expansion is ...

25(3/5nx) +(10nx)(1) = 25nx

The problem statement tells us that is 100x, so we have ...

25nx = 100x

n = 100x/(25x) = 4 . . . . . divide by the coefficient of n

The value of n is 4.

5. For the conditional probability formula, we need to know P(A∩B).

P(A∩B) = P(A) +P(B) -P(A∪B)

P(A∩B) = 0.5 +0.4 -0.6 = 0.3

Then the conditional probability is ...

P(A|B) = P(A∩B)/P(B) = 0.3/0.4

P(A|B) = 0.75

You might be interested in

PO<br> What is the slope of a line that goes through the following 2 points?<br> (-12,-5) (0, -8)

balandron [24]

Answer:

-1/4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-8-(-5))/(0-(-12))

m=(-8+5)/(0+12)

m=-3/12

simplify

m=-1/4

Please mark me as Brainliest if you're satisfied with the answer.

3 0

3 years ago

Distribute and simplify <br> √3 (-2+√20)

LiRa [457]

Answer:

Step-by-step explanation:

√3 (-2+√20) = √3×(-2) + √3×√20

= -2√3 + √3×√(4×5)

= -2√3 + √3×√4×√5

= -2√3 + √3×2×√5

= -2√3 + 2√15

5 0

3 years ago

Construct Arguments For rectangles that have a constant perimeter, the length

Karo-lina-s [1.5K]

Answer:

lol

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

6. The ratio of girls to boys in an astronomy

mr Goodwill [35]

oksn ethe ansetware its 738wuy79q246978t59723482709uy783271-047892=-39074-2378904-2139047=123473192709270329742109372301790

Step-by-step explanation:

6 0

2 years ago

The term "freshman 15" refers to the claim that college students typically gain 15lbs during freshman year at college. Assume th

Viefleur [7K]

The probability that a randomly selected male college student gains 15 lb or more during their freshman year is 11.6%

<h3>What is Probability ?</h3>

Probability is defined as the likeliness of an event to happen.

Let X be a random variable that shows the term "freshman 15" that claims that students typically gain 15lb during their freshman year at college.

It is given that

X follows is a normal distribution with a mean of 2.1 lb (μ) and a standard deviation (σ) of 10.8 lb.

Population Mean (μ) = 2.1

Population Standard Deviation (σ) = 10.8

We need to compute Pr(X≥15). The corresponding z-value needed to be computed is:

$\rm Z_{lower} = \dfrac{ X_1 -\mu }{\sigma}\\\\Z_{lower} = \dfrac{ 15-2.1 }{10.8}\\\\\\Z_{lower} = 1.19$

Then the probability is given as

$\rm Pr(X \geq 16 ) = Pr (\dfrac{X -21}{10.8} \geq \dfrac{15-21}{10.8})\\\\= Pr (Z \geq \dfrac{15-2.1}{10.8}\\\\= Pr (Z\geq 1.19)\\\\ = 0.1162$

Pr(X≥15)=0.1162. (11.6%)

The probability that a randomly selected male college student gains 15 lb or more during their freshman year is 11.6%

To know more about Probability

brainly.com/question/11234923

#SPJ1

3 0

2 years ago