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Paladinen [302]
2 years ago
15

Complete the equation of the line through (4,-8)(4,−8)left parenthesis, 4, comma, minu

Mathematics
1 answer:
In-s [12.5K]2 years ago
3 0
Equation of a line is in the form y = mx+c, where m is the gradient and c is the y-intercept.

First step is to find the gradient.

m = (y2-y1)/(x2-x1)
= ( 5- -8)/(8-4) = 13/4

We have y = (13/4)x + c

Now we replace one of the coordinates to find c. Let’s replace (4,-8)

We have: -8 = (13/4)*4 + c

-8=13+c
c=-8-13= -21

Therefore, equation of line is:

y = (13/4)x - 21
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The size of a television screen is measured by the length of thee diagonal of the screen. What size is a television screen that
Murljashka [212]

Answer:

approximately 6.708 feet

Step-by-step explanation:

We use the Pythagorean theorem to solve the problem, using 3 feet and 6 feet as the legs of a right angle triangle. The diagonal of the screen is therefore the "hypotenuse" of this right angle triangle, and can be determined via the formula:

diagonal = \sqrt{(3\,ft)^2+(6\,ft)^2} \\diagonal = \sqrt{9\,ft^2+36\,ft^2} \\diagonal = \sqrt{45} \,ft\\diagonal = 3\,\sqrt{5} \,ft

which is approximately 6.708 feet

6 0
3 years ago
According to data released by FiveThirty Eight (data drawn on Monday, August 17th, 2020), Donald Trump wins an Electoral College
sineoko [7]

Answer:

a) P = 0.274925

b) required confidence interval = (0.2705589, 0.2793344)

c) FALSE

d) FALSE

e) TRUE

f) There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

Step-by-step explanation:

a)

PROBABILITY

since total number of simulations is 40,000 and and number of times Donald Trump wins an Electoral College majority in the 2020 US Presidential Election is  10,997

so the required Probability will be 10,997 divided by 40,000

P = 10997 / 40000 = 0.274925

b)

To get 95% confidence interval for the parameter in question a

(using R)

>prop.test(10997,40000)

OUTPUT

1 - Sample proportion test with continuity correction

data: 10997 out of 40000, null probability 0.5

x-squared = 8104.5, df = 1, p-value < 2.23-16

alternative hypothesis : true p ≠ 0.5

0.2705589  0.2793344

sample estimate

p

0.274925

∴ required confidence interval = (0.2705589, 0.2793344)

c)

FALSE

This is a wrong interpretation of a confidence interval. It indicates that there is 95% chance that the confidence interval you calculated contains the true proportion. This is because when you perform several times, 95% of those intervals would contain the true proportion but as the confidence intervals will vary so you can't say that the true proportion is in any interval with 95% probability.

d)

FALSE

Once again, this is a wrong interpretation of a confidence interval. The confidence interval tells us about the population parameter and not the sample statistic.

e)

TRUE

This is a correct interpretation of a confidence interval. It indicates that if we perform sampling with same sample size (40000) several times and calculate the 95% confidence interval of population proportion for each of them, then 95% of these confidence interval should contain the population parameter.

f)

The simulation results obtained doesn't always comply with the true population. Also, result of one simulation can't be taken for granted. We need several simulations to come to a conclusion. So, we can never ever guarantee based on a simulation result to say that Donald Trump 'Won't' or 'Shouldn't' win.

There is still probability that he would win. And it would be highly unusual if he wins assuming that the true population proportion is 0.274925.

5 0
3 years ago
Corinne earns an hourly wage on top of her weekly gas allowance for her delivery job. Her weekly earnings can be shown using the
sveta [45]
How much money he gets per hour
8 0
3 years ago
Read 2 more answers
5 positive integers are arranged in ascending order, as follows:
Olegator [25]

Answer:

x = 16

Step-by-step explanation:

Since the numbers are in ascending order, x is the number with the highest value here.

From the arrangement, we can see that the median (the middle number) is the third number which is 9

The mean is the sum of the numbers divided by their count. So we set up the mean and equate to the median

We have this as;

(1 + 9 + 9 + 10 + x)/5 = 9

29 + x = 5(9)

29 + x = 45

x = 45-29

x = 16

5 0
3 years ago
i'm so clueless 3 4 ÷ 1 5 ? A fraction bar. The top bar is labeled 1. 4 bars underneath the bar are labeled one-fourth. 5 bars u
Gnoma [55]

The answer is 3/4. I hope this helped.

8 0
3 years ago
Read 2 more answers
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