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3 years ago

What is the equation for this?

Mathematics

1 answer:

worty [1.4K]3 years ago

5 0

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (-9, 7) and (9, 1). Substitute:

$m=\dfrac{1-7}{9-(-9)}=\dfrac{-6}{18}=-\dfrac{1}{3}\\\\y-7=-\dfrac{1}{3}(x-(-9))\\\\\boxed{y-7=-\dfrac{1}{3}(x+9)}$

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Find the volume of of a pyramid 420 feet in height and with a base of 721000 feet

Sedbober [7]

Answer:

Hope it helps!

4 0

2 years ago

Eva earns $5.50 per hour and time-and-a-half for overtime for all hours over 40 hours. How much did she earn the week she worked

Morgarella [4.7K]

Answer:

$277.75

5.50×40=220

5.50÷2=2.75

5.50+2.75=8.25×7=57.75

57.75+220=277.75

5 0

2 years ago

WHATS THE SLOPE <br> FAST CORRECT ANSWER = Thanks + Brainliest + 5 stars + 8 points

umka2103 [35]

Answer:

The slope of g(x) is: $m=0$

The slope of f(x) is: $m-1$

Step-by-step explanation:

For this exercise you need to know that:

1. By definition the slope of any horizontal line is zero ( $m=0$ )

2. The slope of a line can be calculated using the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

In this case, you can observe in the graph of the function g(x) given in the exercise that it is an horizontal line. Then, based on the explanation given before, you can conclude that its slope is:

$m=0$

To find the slope of the function f(x) shown in the table attached, you need to follow these steps:

- Choose two points from the table:

$(0,3)$ and $(4,-1)$

- You can say that:

$y_2=-1\\y_1=3\\\\x_2=4\\x_1=0$

- Substitute values into the formula $m=\frac{y_2-y_1}{x_2-x_1}$ :

$m=\frac{-1-3}{4-0}$

- Finally, evaluating, you get:

$m=\frac{-4}{4}\\\\m=-1$

4 0

3 years ago

A newspaper reports that the population mean annual salary of a full-time college professor in a certain region is exactly $127,

Leya [2.2K]

Answer:

Option B) Fail to reject the null hypothesis that the true population mean annual salary of full-time college professors in the region is equal to $127,000.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $127,000

Sample mean, $\bar{x}$ = $126,092

Sample size, n = 160

Alpha, α = 0.10

Sample standard deviation, σ = $8,509

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 127000\text{ dollars}\\H_A: \mu \neq 127,000\text{ dollars}$

We use Two-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

$t_{stat} = -1.35$

Now, $t_{critical} \text{ at 0.10 level of significance, 159 degree of freedom } = \pm 1.654$

Since,

The calculated t-statistic lies in the acceptance region, we fail to reject and accept the null hypothesis.

Option B) Fail to reject the null hypothesis that the true population mean annual salary of full-time college professors in the region is equal to $127,000.

8 0

3 years ago

Pls help asap due tomorrow

Svet_ta [14]

Based on the information given, it should be noted that the least number of marbles that can be in the bag will be 10 marbles.

<h2>Solution to the probability.</h2>

If the bag contains 60 marbles, the number of red marbles will be:

= 1/5 × 60

= 12 marbles.

The number of white marbles will be:

= 3/10 × 60

= 18 marbles.

The number of blue marbles will be:

= 60 - (12 + 18)

= 60 - 30

= 30 marbles.

Furthermore, when the bag has 4 red marbles and 6 white marbles, there'll be 10 blue marbles.

Lastly, to find the probability of choosing a blue marble, we've to multiply 1/2 by the number given.

Learn more about probability on:

brainly.com/question/25870256

4 0

3 years ago