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2 years ago

7

if a line crosses the y-axis at (0, -3) and has a slope of 3, what is the equation of the line? 3x y = 3 3x − y = 3 -3x − y = 3

3x − y = -3

1 answer:

babunello [35]2 years ago

6 0

Y-intercept = (0, -3) and slope (m) = 3.
Required equation is y = 3x - 3
3x - y = 3

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A forestry researcher wants to estimate the average height of trees in a forest near Atlanta, Georgia. She takes a random sample

marusya05 [52]

Answer:

The margin of error for her confdence interval is of 0.3757.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 2.8982

The margin of error is:

$M = T\frac{s}{\sqrt{n}}$

In which s is the standard deviation of the sample and n is the size of the sample.

Standard deviation of 0.55 meters.

This means that $s = 0.55$

What is the margin of error for her 99% confidence interval?

$M = T\frac{s}{\sqrt{n}}$

$M = 2.8982\frac{0.55}{\sqrt{18}}$

$M = 0.3757$

The margin of error for her confdence interval is of 0.3757.

7 0

2 years ago

8x over 3 - x over 2 equals -13

Leya [2.2K]

Equation:
x/3 = x/8 + 2/3
---
Multiply thru by 24 to get:
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2 years ago

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f

myrzilka [38]

Answer:

The sprinkler can spread water 18 feet away.

Step-by-step explanation:

We are given the following in the question:

Area formed by watering pattern = 1,017.36 square feet

We have to find the how far the sprinkler spread the water.

The sprinkler covers a circular area. We need to find the radius of this circular area to find the how far the sprinkler spread the water.

Area of circle =

$A = \pi r^2$

where r is the radius of the circle.

Putting values, we get,

$1017.36 = 3.14 r^2\\\\r^2 = \dfrac{1017.36}{3.14}\\\\r^2 = 324\\r = \sqrt{324} = 18\text{ feet}$

Thus, the sprinkler can spread water 18 feet away.

6 0

3 years ago

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The cost of painting a wall that is 5 meters wide and 212 meters tall is $50. How many square meters can be painted for $1?

tigry1 [53]

Answer:

21.2 square meters

Step-by-step explanation:

The area of a parallelogram is base • height.

So:

1. Calculate the area of what you can get for $50. 5 • 212 = 1060 square meters.

2. Now you divide the first price ($50) by the desired price ($1). This one is easy because 50 / 1 = 50, but I'm putting this here for future reference in case you need to solve a problem that has a desired price that's greater than $1.

3. Divide the answer to step one by the answer to step two to get the area you can have painted for $1. 1060 / 50 = 21.2 square meters.

3 0

1 year ago

Compare 2/5 and 1/4

elena-14-01-66 [18.8K]

Answer:

2/5 > 1/4

Step-by-step explanation:

2/5 = 4/10 = 0.4

1/4 = 0.25

0.4 > 0.25

2/5 > 1/4

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3 years ago

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