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RSB [31]
3 years ago
11

Write the equation for a line that passes through (4,-1) and has a slope of 5

Mathematics
1 answer:
Anit [1.1K]3 years ago
5 0

Answer:

y = 5x - 21

Step-by-step explanation:

Since we already know the slope, all we need to do is plug the values of x and y into the equation.

y = 5x + b

-1 = 5(4) + b

-1 = 20 + b

-21 = b

The equation is y = 5x - 21.

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The sum of the interior angle of an octagon is
ehidna [41]

Answer:

1080 degrees

Step-by-step explanation:

A regular octagon has 135 degrees per interior angle. To find the sum, add 135 for each angle. There are 8 interior angles.

8*135 = 1,080

8 0
3 years ago
What is the volume of the figure?
serious [3.7K]

Answer:

188 ft^{3}

Step-by-step explanation:

So we can split up this shape into two prisms and then add the two areas.

The volume of a rectangular prism is V = l*w*h

For the first prism, we have our length as 3, our width as 4, and our height as 9. Substituting these values into our volume equation gives us V = (3)(4)(9) = 108 ft^{3}.

Now for the second prism, we have our length as 5, our width as 4, and our height as 4. Substituting these values into our volume equation give us V = (5)(4)(4) = 80 ft^{3}

Now adding these two values will give us the area of the entire figure: 108ft^{3} +80ft^{3} = 188 ft^{3}

8 0
4 years ago
A political pollster claims that 55% of voters prefer candidate A. To investigate this claim, a random sample of 75 voters is po
Elanso [62]

The null hypothesis is rejected because the probability is 0.52.

<h3>What are null hypotheses and alternative hypotheses?</h3>

In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

A political pollster claims that 55% of voters prefer candidate A.

To investigate this claim, a random sample of 75 voters is polled.

The pollster finds that 39 of those polled prefer candidate A.

He would like to know if the data provide convincing evidence that the true proportion of all voters who prefer candidate A is less than 55%.

This is left tailed test

H₀: p = 0.55

Hₐ: p < 0.55

Then the probability will be

p = 39 / 75

p = 0.52

P-value = 0.3015

Interpretation of P-value:- In a random sample of 75 voters, the chance of getting a sample statistic of 0.52 or below is 0.3015, assuming that the real population proportion of the voter base who chooses candidate A is 0.55.

More about the null hypotheses and alternative hypotheses link is given below.

brainly.com/question/9504281

#SPJ1

4 0
2 years ago
If you run at a speed of 3yards per second about how many miles per hour do you run
Hatshy [7]
<span>( 3 yards / sec )*( 3 ft / yd )*( mile / 5,280 ft )*( 60 sec / min )*( 60 min / hr ) = miles / hr
3*3*(1/5280)*60*60=9*3600*(1/5280)
32400/5280=6.136

 the runs 6.136 mi/hr </span>
8 0
4 years ago
Please help asap i’ll give a brainliest to the person with the correct answer
padilas [110]

Answer:

D. (2,1)

Step-by-step explanation:

6 0
3 years ago
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