What is the equation of the line passing through the points (2, -1) and (5.-10) in slope-intercept formO y=-3x-5
O y=-3x+5
Oy - 3x-5
O y=3x+5

Answers

Answer 1

Answer:

Final answer:

The slope of the line through points (2, -1) and (5,-10) is -3. With y-intercept +5, the line's equation in slope-intercept form is y = -3x + 5.

Explanation:

The subject of your question is in the field of Mathematics, specifically algebra.

You are looking for the equation of the line in slope-intercept form, which is y = mx + b where m is the slope and b is the y -intercept. We first calculate the slope using the formula (y2 - y1) / (x2 - x1). Plugging in the values we get, m = (-10 - (-1)) / (5 - 2) = -9 / 3 = -3. Thus, m = -3. Then, to find the y-intercept, we use the point-slope form of a line equation y - y1 = m(x - x1), and plug in one of the points (2, -1) and the slope value, and then solve for b. The equation in slope-intercept form will be y = -3x + 5.

So the answer to your question is y = -3x + 5.

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Answer 2

Answer:

Answer:

y = -3x + 5

Step-by-step explanation:

Usually by drawing a simple graph, you can tell what the equation is, even if the graph isn't 100% accurate. From the points alone, you can tell that the slope is negative, since as you increase in x you decrease in y (which is a negative relationship). You can tell that it's +5 rather than -5 because the graph sketched shows that the line goes above 0 (indicating a positive number), rather than below (a negative number).

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PLEASE ANSWER ILL GIVE YOU BRAINLIEST

You read that a study is planned for which a test of hypothesis will be done at significance level α = 0.10. Statisticians have calculated that for a certain effect size, the power is 0.7. What are the probabilities of Type I and Type II errors for this test?

Answers

Answer:

The probabilities of Type I is 0.10.

The probability of type II error is 0.3

Step-by-step explanation:

Consider the provided information.

Type I error: If we reject the null hypothesis when null hypothesis is true then it is called type I error.

The type I error is denoted by α.

Type II error: If we fail to reject the null hypothesis when null hypothesis is false then it is called type II error.

The type II error is denoted by β.

It is given that significance level α = 0.10.

Thus, the probabilities of Type I is 0.10.

The power of the test is: $Power=1-\beta$

It is given that power is 0.7.

Therefore,

$0.7=1-\beta$

$\beta=1-0.7=0.3$

Hence, the probability of type II error is 0.3

George Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today Gregor has 228 peas to examine . The pods have 6 peas per pod. How many pods of peas are there?

Answers

The answer is 38 peas per pod

228÷6 = 38

Glad to help you :)

Final answer:

By dividing the total number of peas (228) by the number of peas per pod (6), we find that Gregor Mendel has 38 pods of peas.

Explanation:

This question is asking how many pods of peas Gregor Mendel has if he has a total of 228 peas and each pod contains 6 peas. To find out this, you can divide the total number of peas by the number of peas per pod.

So, 228 peas ÷ 6 peas/pod = 38 pods.

Therefore, Gregor Mendel has 38 pods of peas that he is examining for his research.

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determine whether the series is absolutely convergent, conditionally convergent, or divergent sin(n)/3^n convergent

Answers

Answer:

absolutely convergent

Step-by-step explanation:

given data

sin(n)/3^n

solution

we have given term $(sin(n))/(3^n)$

when n = 1

and we know that

value of sin(n) ≤ 1

so that we can say that

$(sin(n))/(3^n)$ ≤ $(1)/(3^n)$ or $((1)/(3))^n$

here $(1)/(3^n)$ is converges this is because common ratio in geometric series

here r is $(1)/(3)$ and here it satisfy that -1 < r < 1

so it is converges

and

$(sin(n))/(3^n)$ is also similar

so it is converges

and here no $(-1)^n$ term is

so we can say series is absolutely convergent

Todd and Garrett began arguing about who did better on their tests, but they couldn't decide who did better given that they took different tests. Todd took a test in Math and earned a 74.6, and Garrett took a test in English and earned a 68.8. Use the fact that all the students' test grades in the Math class had a mean of 70.6 and a standard deviation of 11.9, and all the students' test grades in English had a mean of 63.7 and a standard deviation of 8.6 to answer the following questions. Required:
a. Calculate the z-score for Todd's test grade.
b. Calculate the z-score for lan's test grade.
c. Which person did relatively better?

Answers

Part A

For Todd's class, we have this given info:

mu = 70.6 = population mean of math scores
sigma = 11.9 = population standard deviation of math scores

Compute the z score for x = 74.6

z = (x-mu)/sigma

z = (74.6 - 70.6)/(11.9)

z = 0.34 approximately

Side note: Convention usually has z scores rounded to two decimal places. If your teacher instructs otherwise, then go with those instructions of course.

Answer: 0.34

======================================================

Part B

For Garret's English class, we have:

mu = 63.7
sigma = 8.6

Compute the z score for x = 68.8

z = (x-mu)/sigma

z = (68.8 - 63.7)/(8.6)

z = 0.59 approximately

Answer: 0.59

======================================================

Part C

Garret has the higher z score, which means that Garret did relatively better to his classmates compared to Todd's performance (in relation to his classmates). The z score is the distance, in units of standard deviation, the score is from the mean. Positive z values are above the mean, while negative z values are below the mean.

Answer: Garret did relatively better

a patrolman gives a speeding ticket 15% over the posted speed the speed limit is 40 miles per hour a driver can go without receiving a ticket

Answers

0.15 x 40 = 6 and 40+6 = 46
So you can drive below 46 miles per hour without getting a ticket
Hope this helps!

GIVING BRAINLY!!!!! PLSSSSS HELPPPPthe sum of two whole numbers is 63 . The difference between these 2 whole numbers is less than 10. FInd all the possible pairs

Answers

Answer:

(32, 31) (33,30) (34, 29) (35, 28) (36,27) (37, 26)

Step-by-step explanation:

Final answer:

The pairs of whole numbers that add to 63 and have a difference less than 10 are (27, 36), (28, 35), (29, 34), (30, 33), and (31, 32).

Explanation:

This problem is based in the domain of basic algebra. Essentially, you are being asked to find pairs of whole numbers that, added together, equal 63, with the condition that the difference between these two numbers is less than 10.

Starting from the number 32 (as any larger number plus any number greater than 0 would exceed 63), you can begin to list pairs, subtracting one number from the total of 63 while simultaneously adding that same amount to the other half of the pair. This will ensure that the sum always equals 63.

Here are the pairs satisfying the given conditions: (27, 36), (28, 35), (29, 34), (30, 33), (31, 32). For these pairs, the difference between the two numbers in each pair is less than 10.