Ask question

Ask question

All categories

2 years ago

9

What is the equation of the line shown here?

1 answer:

BartSMP [9]2 years ago

6 0

Answer:

y = -2 + 1/3x

Step-by-step explanation:

-2 is the y-intercept

1/3 is the slope

You might be interested in

Use prime factorization to find gcf of 57 and 27

Vadim26 [7]

Gcf (57,27) = <span><span><span>57×27/</span><span>lcm(57,27)</span></span>=<span>1539/513</span></span> = 3

4 0

3 years ago

The lengths of a particular snake are approximately normally distributed with a given mean mu = 15 in. and standard deviation si

Helga [31]

The percentage of the snakes is longer than 16.6 in. with a mean of 15 in. and a standard deviation of 0.8 in. is 2.275%.

<h3>What is a normal distribution?</h3>

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in.

Then the percentage of the snakes is longer than 16.6 in. will be

$z = \dfrac{ x - \mu }{ \sigma }\\\\z = \dfrac{16.6-15}{0.8}\\\\z = 2$

Then we have

$\rm P(x > 16.6) = P(z > 2) = 0.02275 \ or \ 2.275 \%$

More about the normal distribution link is given below.

brainly.com/question/12421652

6 0

2 years ago

Why is the answer to this integral's denominator have 1+pi^2

ss7ja [257]

It comes from integrating by parts twice. Let

$I = \displaystyle \int e^n \sin(\pi n) \, dn$

Recall the IBP formula,

$\displaystyle \int u \, dv = uv - \int v \, du$

Let

$u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Then

$\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn$

Apply IBP once more, with

$u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Notice that the ∫ v du term contains the original integral, so that

$\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)$

$\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I$

$\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n$

$\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C$

6 0

2 years ago

Which choice is the appropriate simplified form n restriction for the variable 3x^2 + 6x / x^2 - 2x - 8

mrs_skeptik [129]

$\frac{3x^{2}+6x}{x^{2}-2x-8} = \frac{3x(x+2)}{(x-4)(x+2)}= \frac{3x}{x-4} 
\\ \\ \frac{3x}{x-4} , x \neq 4$

$x \neq -2$

3 0

3 years ago

Jack, Jill, and Ron share a 2-bedroom apartment. Rent is represented by R. The water bill is $20 per person. The electric bill i

erastovalidia [21]

Jack: 2R/3
Jill: 3 • 20 + 0.5 • 250 = 185
Ron: R/3 + 125

hope that helps

4 0

3 years ago