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mr Goodwill [35]

3 years ago

8

There are 20 pens in a package. Ten of the pens are black, 8 are blue, and the rest are red. Which ratio represents the number o

f red pens to black pens?
A.1/10
B.1/5
C.4/5
D.5/1

2 answers:

Vera_Pavlovna [14]3 years ago

6 0

The answer is B, 1/5

riadik2000 [5.3K]3 years ago

3 0

C.4/5...<span>Which ratio represents the number of red pens to black pens?</span>

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Determine whether each binomial is a factor of x^3+3x^2-10x-24

jek_recluse [69]

A binomial is a polynomial equation with two terms, each of which is a monomial usually joined by a plus or minus sign. Polynomials with one term is called monomial and could look like this, 9x while a binomial could look like this 2x + 8.

Yes! It true that each binomial is a factor of x^3+3x^2-10x-24. Here’s why,

<span>Quotient: x^2 + 6x + 8
Factor:(x+4)(x+2)</span>

Factor Form: (x-3)(x+4)(x+2)

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One face of a cube has an area of 25cm.squared what is te surface area of the cube also what is the volume of this cube?

xxTIMURxx [149]

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Blizzard [7]

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Mari adds 4 spoons of honey to a pitcher of iced tea. Each spoonful holds 5 mL of honey How many mL of honey does Mari have in a

weeeeeb [17]

Alright, lets get started.

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3 years ago

Suppose that the distance, in miles, that people are willing to commute to work is an exponential random variable with a decay p

garik1379 [7]

Answer:

<em>m</em> = $\frac{1}{20}$
<em>μ</em> = 20
<em>σ </em>= 20

The probability that a person is willing to commute more than 25 miles is 0.2865.

Step-by-step explanation:

Exponential probability distribution is used to define the probability distribution of the amount of time until some specific event takes place.

A random variable <em>X</em> follows an exponential distribution with parameter <em>m</em>.

The decay parameter is, <em>m</em>.

The probability distribution function of an Exponential distribution is:

$f(x)=me^{-mx}\ ;\ m>0, x>0$

<u>Given</u>: The decay parameter is, $\frac{1}{20}$

<em>X</em> is defined as the distance people are willing to commute in miles.

The decay parameter is <em>m</em> = $\frac{1}{20}$ .
The mean of the distribution is: $\mu=\frac{1}{m}=\frac{1}{\frac{1}{20}}=20$ .
The standard deviation is: $\sigma=\sqrt{variance}= \sqrt{\frac{1}{(m)^{2}} } =\frac{1}{m} =\frac{1}{\frac{1}{20}} =20$

Compute the probability that a person is willing to commute more than 25 miles as follows:

$P(X>25)=\int\limits^{\infty}_{25} {\frac{1}{20} e^{-\frac{1}{20}x}} \, dx \\=\frac{1}{20}|20e^{-\frac{1}{20}x}|^{\infty}_{25}\\=|e^{-\frac{1}{20}x}|^{\infty}_{25}\\=e^{-\frac{1}{20}\times25}\\=0.2865$

Thus, the probability that a person is willing to commute more than 25 miles is 0.2865.

7 0

3 years ago