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2 years ago

Write an equation for the line that is parallel to the given line and that passes through the given point.

1 answer:

4 0

Parallel to y = 3/4x - 9 and passes through (-8, -18)

Identify the slope : our slope is 3/4

Remember that parallel equations have the same slope, so both slopes are 3/4

Now, we have to find the y-intercept. Simply plug everything into the slope intercept form equation.

y = mx + b

(-18) = (3/4)(-8) + b

Simplify.

-18 = -6 + b

Add 6 to both sides.

-18 + 6 = b

Therefore, our y-intercept is -12.

Now plug everything into the slope intercept form.

y = mx + b

y = 3/4x - 12

~Hope I helped!~

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Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site

Ymorist [56]

Answer:

$L = 3.975$

Step-by-step explanation:

Given

See comment for data

Required

The lower limit 94% confidence interval

First, calculate the mean

$\bar x =\frac{\sum x}{n}$

$\bar x =\frac{0.9+10+0.9+8.7+4.8+2.6+1+13.3+9.5+8.9+8.9+4.6}{12}$

$\bar x =\frac{74.1}{12}$

$\bar x =6.175$

Next, calculate the standard deviation using:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}$

So, we have:

$\sigma = \sqrt{\frac{(0.9 - 6.175)^2 +(10- 6.175)^2 +.................+(8.9- 6.175)^2 +(4.6- 6.175)^2}{12}}$

$\sigma = \sqrt{\frac{197.2625}{12}}$

$\sigma = \sqrt{16.4385416667}$

$\sigma = 4.054$

For 94% interval, the z score is

$z = 1.88$

So, the margin of error (E) is:

$E = z * \frac{\sigma}{\sqrt n}$

$E = 1.88 * \frac{4.054}{\sqrt {12}}$

$E = 1.88 * \frac{4.054}{3.464}$

$E = 2.200$

The confidence interval of the true mean is:

$CI = (\bar x \± E)$

The lower limit (L) is:

$L = \bar x -E$

$L = 6.175 -2.200$

$L = 3.975$

and the upper limit (U) is

$U = \bar x + E$

$U = 6.175 + 2.200$

$U = 8.375$

5 0

2 years ago

When the points are in the SAME quadrant, what operation do you do to find the distance between them?

Mademuasel [1]

Use this formula, it’s called distance formula

8 0

2 years ago

(b) A square has a perimeter of 12 yd. What is the length of each side?

Maru [420]

Answer:3

explation:square have 4 side

perimetter of square=4l

so, 12/4=3

7 0

2 years ago

1. Find the perimeter of the figure. Each unit is 1 centimeter

Oxana [17]

Answer:

Step-by-step explanation:

count the sides of the boxes for each side of the shape

8 0

2 years ago

34 in.

Troyanec [42]

Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = $\sqrt{1156-256}$

= $\sqrt{900}$

= 30 in.

Perimeter of the triangular base = AB + BC + AC

= 16 + 30 + 34

= 80 in

Lateral surface area = 80 × 22

= 1760 in²

Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(30)(16)$

= 240 in²

Total surface area = 1760 + 2(240)

= 1760 + 480

= 2240 in²

Volume = Area of the triangular base × Height

= 240 × 20

= 4800 in³

6 0

1 year ago