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2 years ago

Solve for y- 6y-1.5x=8

1 answer:

8 0

$6y-1.5x=8\qquad\text{add 1.5x to both sides}\\\\6y=1.5x+8\qquad\text{divide both sides by 6}\\\\y=\dfrac{1.5}{6}x+\dfrac{8}{6}\\\\y=\dfrac{15}{60}x+\dfrac{4}{3}\\\\\boxed{y=\dfrac{1}{4}x+\dfrac{4}{3}}$

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What do you get when you round 490.625 to the nearest tenth

VARVARA [1.3K]

Answer:

When you round 490.625 to the nearest tenth its 490.6.

3 0

2 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

A six-sided die is rolled 25 times. The number 3 appears eight times. What is the experimental probability of getting a 3?

alisha [4.7K]

<h3>Answer in fraction form = 8/25</h3><h3>Answer in decimal form = 0.32</h3><h3>Answer in percent form = 32%</h3>

We have 8 instances of "3" showing up out of 25 total rolls, which is where the fraction 8/25 comes from. Use your calculator to find that 8/25 = 0.32. Or you could multiply top and bottom of 8/25 by 4 to get 32/100 = 0.32 = 32%

5 0

3 years ago

What is the slope of a line that passes through the points (2,6) and (4,-3)

Paul [167]

I don’t know the answer but all you have to do is search “slope calculator”

4 0

2 years ago

Read 2 more answers

Can you please help me do find a resolution for these equations

rusak2 [61]

Answer:

x=-5

Step-by-step explanation:

I did a for #42

2(x-5)=3x+5

simplify

2x-10=3x+5

subtract 2x from both sides

-10=3x+5

subtract 5 from both sides

-15=3x

divide both sides by 3

-5=x

6 0

2 years ago