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3 years ago

Write an equation for a line that passes through the points (0,-4) and (1,3)

1 answer:

3 0

We can actually make two equations here, slope-intercept form and point slope form. Firstly, we need to find the slope. We do that by finding the difference of the y coordinates, and then dividing that by the difference of the x coordinates. 3-(-4)/1-0 is 7. Our slope is 7, slope is m.

Point slope form is y - y1 = m(x - x1). We only need to worry about y1 and x1. Let’s plug our x and y values in. y - (-4) = 7(x - 0). Next, we should simplify this. y + 4 = 7x. Next, we need to isolate y. We do this by subtracting four from both sides. y = 7x - 4

Our point slope form equation is y - (-4) = 7(x-0), and our slope-intercept form is y = 7x - 4. Keep in mind that 7 is our slope, or m, and -4 is our y-intercept.

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Find x and the indicated sides.

Mariulka [41]

Answer: Can’t solve without picture.

Step-by-step explanation:

You should add a picture or at least draw it. It can’t be solved without it because the sides need to correlate together.

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3 years ago

Kate collected a sample of monthly rents and recorded the following numbers:

d1i1m1o1n [39]

C) will not effected (the most frequent is still 600$)

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3 years ago

N =64

faust18 [17]

Answer:

B. 1.70

Step-by-step explanation:

Given:

$n=64$
$\overline{x}=65.1$
$\sigma=24$
$\textsf{h}_0:\mu=60$
$\textsf{h}_1:\mu\neq 60$

$\textsf{If }\: X \sim\textsf{N}(\mu,\sigma^2)\:\textsf{ then }\: \overline{X} \sim \left(\mu,\dfrac{\sigma^2}{n}\right) \implies Z=\dfrac{\overline{X}-\mu}{\sigma / \sqrt{n}} \sim \textsf{N}(0,1)$

$\textsf{then test statistic is}: \quad z=\dfrac{\overline{x}-\mu}{\sigma / \sqrt{n}}$

Substituting the given values into the formula to find the test statistic z:

$\begin{aligned}\implies z &=\dfrac{65.1-60}{24 / \sqrt{64}}\\\\&=\dfrac{5.1}{3}\\\\&=\dfrac{17}{10}\\\\&=1.7\end{aligned}$

4 0

2 years ago

The weight of oranges growing in an orchard is normally

Charra [1.4K]

Answer:

The probability is 0.933

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD

x = 4

mean = 5.5

SD = 1

z-score = (4-5.5)/1 = -1.5

So we proceed to get the probability

This is;

P( z > -1.5)

we can get this from the standard normal distribution table

That will be

P(z > -1.5) = 0.93319

To the nearest thousandth, this is 0.933

6 0

3 years ago

Write an equation in slope-intercept form for the line that satisfies the following condition.

juin [17]

Answer:

d. y= 5x+18

Step-by-step explanation:

y=mx+b is slope intercept form

Now we plug in the information given to us which is slope(m) is 5 and a point (x,y) which is (2,28).

So by substituting we get 28=5(2)+b

simplify to 28=10+b and when we subtract 10 from both sides to isolate 'b', we get that b = 18.

So now we use the values of slope(m) and the y-intercept(b) to write the equation:

y=5x+18

8 0

3 years ago

Read 2 more answers