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3 years ago

What is P(A and B)?

Mathematics

2 answers:

NeTakaya3 years ago

8 0

A. 0.08 If A and B are independent, then the probability that A and B are multiplied?

Sindrei [870]3 years ago

6 0

Answer:

(A) 0.08

Step-by-step explanation:

P(A) = 0.8

P(B) = 0.1

P(A and B)

= 0.8 x 0.1

= 0.08

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Solve the following system of equations and show all work.<br> y = 2x2<br> y =<br> 3x -1 (10 points)

dedylja [7]

Answer: $\left(\frac{1}{2}, 1 \right), (1, 2)$

Step-by-step explanation:

We have $y=2x^{2}$ and $y=3x-1$ .

Since both of the equations are set equal to y, we can conclude that:

$2x^2 = 3x-1\\\\2x^{2}-3x+1=0\\\\(2x-1)(x-1)=0\\\\x=\frac{1}{2}, 1$

If $x=\frac{1}{2}$ , then $y=3\left(\frac{1}{2} \right)-1=1$

If $x=1$ , then $y=3-1=2$

Therefore, the solutions are $\left(\frac{1}{2}, 1 \right), (1, 2)$

7 0

2 years ago

Area of Parallelograms, Quadrilaterals, and Polygons - Quiz - Level F What is the area of this triangle? in. in2 Ich h = 5 in. b

algol13

The area of the triangle with a base of 10in and height of 5in is 25 square inches

<h3>How to find the area of a triangle</h3>

A triangle is a to dimensional shape with 3 sides and angles

Area of a triangle = 0.5bh

<h3>Given the following parameters</h3>

base = 10in

height = 5 in

<h3>Substitute the given parameters into the formula</h3>

A = 0.5 * 10 * 5

A = 25 square inches

Hence the area of the triangle with a base of 10in and height of 5in is 25 square inches

Learn more on area of triangle hehttps://brainly.com/question/17335144re:

3 0

2 years ago

-5+x over 22=-1 solve for x

r-ruslan [8.4K]

-5 + x/22 = -1

+ 5 for both side

x
--- = 4
22

multiply by 4

x = 22(4)

x = 88

5 0

3 years ago

In 1898 L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collected over 20 years to show that

attashe74 [19]

Answer:

(a) The probability of more than one death in a corps in a year is 0.1252.

(b) The probability of no deaths in a corps over 7 years is 0.0130.

Step-by-step explanation:

Let <em>X</em> = number of soldiers killed by horse kicks in 1 year.

The random variable $X\sim Poisson(\lambda = 0.62)$ .

The probability function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...$

(a)

Compute the probability of more than one death in a corps in a year as follows:

P (X > 1) = 1 - P (X ≤ 1)

= 1 - P (X = 0) - P (X = 1)

$=1-\frac{e^{-0.62}(0.62)^{0}}{0!}-\frac{e^{-0.62}(0.62)^{1}}{1!}\\=1-0.54335-0.33144\\=0.12521\\\approx0.1252$

Thus, the probability of more than one death in a corps in a year is 0.1252.

(b)

The average deaths over 7 year period is: $\lambda=7\times0.62=4.34$

Compute the probability of no deaths in a corps over 7 years as follows:

$P(X=0)=\frac{e^{-4.34}(4.34)^{0}}{0!}=0.01304\approx0.0130$

Thus, the probability of no deaths in a corps over 7 years is 0.0130.

6 0

3 years ago

Money deposited $8000 into an account 6 years ago. The account earned simple interest at a yearly rate. So far the total interes

matrenka [14]

Answer:

2.5%

Step-by-step explanation:

interest = principal * rate * time

1200 = 8000r6

1200 = 48000r

r = 0.025

Rate for account is 2.5%

4 0

4 years ago