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3 years ago

6

There are six cats and seven dogs in the local animal shelter. Four animals are chosen at random to visit a local school to educ

ate the children on the great need for homes for these animals.
What is the probability that at least one cat is chosen?

1 answer:

levacccp [35]3 years ago

3 0

It is certain that a cat will be chosen.

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B28%7D%20%2B%20%5Cfrac%7B1%7D%7B70%7D%20%2B%20%5Cfrac%7B1%7D%7B130%7D%20%2B%20

malfutka [58]

Considering the least common multiple of the denominators, it is found that the result of the expression is given by:

$\frac{9100}{138320}$

<h3>How do we add fractions?</h3>

We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.

In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.

Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:

$\frac{4940}{138320} + \frac{1976}{138320} + \frac{1064}{138320} + \frac{665}{138320} + \frac{455}{138320} = \frac{4940 + 1976 + 1064 + 665 + 455}{138320} = \frac{9100}{138320}$

More can be learned about the addition of fractions at brainly.com/question/78672

#SPJ1

5 0

2 years ago

Write an equation in slope-intercept form for the line with slope 8 and y-intercept -8.

Fofino [41]

Answer:

y = 8x - 8

Step-by-step explanation:

y = mx + b is slope-intercept form

m - slope

b - y-intercept

so if you plug in 8 for m and -8 for b you'll get

y = 8(m)x - 8(b)

Hope this helps!!

6 0

3 years ago

Find the quotient of the quantity negative 6 times x to the 2nd power times y to the 8th power plus 12 times x times y to the 3r

olga nikolaevna [1]

[ - 6 * x^2 * y^8 + 12* x * y^3 - 36 * x * y^2 ] / [6*x*y^2] =

[-6x^2 y^8 ] / [6xy^2] + [12x y^3] / [6xy^2] - [36xy^2] / [6xy^2] =

- xy^6 + 2y - 6

Answer: - xy^6 + 2y - 6

6 0

4 years ago

Read 2 more answers

Find an equation for the nth Term of a geometric sequence where the second and fifth terms or -8 and 512, respectively

zhenek [66]

Answer:

32

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

A system of two linear equations with two variables is shown below.

Orlov [11]

{ 3-y=2x
{ x+1/2y=3/2

{ -y=2x-3
{ 1/2y=3/2-x

{ y=-2x+3
{ y=3-2x

-2x+3=3-2x

(x,y) = (x,-2x+3)

6 0

3 years ago