All categories

2 years ago

What is the slope of the line that passes through the points (8,-6) and (11,-12)? write the answer in simplest form.

Mathematics

1 answer:

Hatshy [7]2 years ago

8 0

Answer:

y = -2x + 10

Step-by-step explanation:

The equation is y = mx + b

1. Find the slope first.

--> (y2 - y1) / (x2 - x1) = slope

--> (-12 - -6) / (11 - 8) = (-6) / (3) = -2

2. Then, find the y-intercept (b) by plugging one of the points

--> y = -2x + b

--> -6 = -2(8) + b

--> -6 = -16 + b

--> b = 10

3. Combine

--> y = -2x + 10

You might be interested in

In a hypothesis test, standard error measures ____.

Lina20 [59]

Answer:

The correct answer is:

the amount of difference expected just by chance (b)

Step-by-step explanation:

Standard error in hypothesis testing is a measure of how accurately a sample distribution represents a distribution by using standard deviation. For example in a population, the sample mean deviates from the actual mean, the mean deviation is the standard error of the mean, showing the amount of difference between the sample mean and the actual mean, occurring just by chance. Mathematically standard error is represented as:

standard error = (mean deviation) ÷ √(sample size).

standard error is inversely proportional to sample size. The larger the sample size, the smaller the standard error, and vice versa.

7 0

3 years ago

Pls someone help these answers are on chegg so if u have a subscription pls answer these ill make u brainliest ! Below is a tabl

aivan3 [116]

The table is not clear, so i have attached it.

Answer:

z statistic is -2.26

This is less than our alpha level,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans

Step-by-step explanation:

From the attached table, we can see that;

first-generation hispanic americans; (N = 899 and percentage = 43%

second-generation hispanic americans; N = 351 and percentage = 50%

first-generation asian americans; (N = 2,684 and percentage = 58%

second-generation asian americans; N = 566 and percentage = 51%

Z-score formula in this case is;

z = (p1^ - p2^)/(√(p^(1 - p^)((1/n1) + (1/n2))

Where;

p^ = (p1 + p2)/(n1 + n2)

For, hispanic americans we have;

p1^ = 0.43 × 899 = 386.57

p2^ = 0.5 × 351 = 175.5

p^ = (386.57 + 175.5)/(899 + 351)

p^ = 0.45

Thus;

z = (0.43 - 0.5)/(√(0.45(1 - 0.45)((1/899) + (1/351))

z = -2.26

From z-distribution table, we have;

P-value = 0.01191

Since we have 2 samples, then probability = 2 × 0.01191 = 0.02382

This is less than our alpha level of 0.05,therefore we reject the null hypothesis and conclude that there is a significant difference in the proportion of homeowners between first generation and second generation Hispanic Americans.

3 0

3 years ago

let a,b,c,d be four integers (not necessarily distinct) in the set {1,2,3,4,5}. the no. of polynomials x^4+ax^3+bx^2+cx+d which

Eddi Din [679]

By either long or synthetic division, it's easy to show that

$\dfrac{x^4+ax^3+bx^2+cx+d}{x+1}=x^3+(a-1)x^2+(-a+b+1)x+(a-b+c-1)-\dfrac{a-b+c-d-1}{x+1}$

The quartic will be exactly divisible by $x+1$ when the numerator of the remainder term vanishes, or for those values of $a,b,c,d$ such that

$a-b+c-d-1=0$

I'm not sure how to count the number of solutions (software tells me it should be 80), but hopefully this is a helpful push in the right direction.

8 0

3 years ago

–13.5a + 34.12b + 65.5a – 32.5b – 35.8a

kondor19780726 [428]

Answer:

the answer is C

Step-by-step explanation:

6 0

3 years ago

Multiply and simplify the following expression -4√15 x(-√3)

larisa [96]

Answer:

$\large\boxed{12\sqrt5}$

Step-by-step explanation:

$\text{Use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\-----------------\\\\-4\sqrt{15}\cdot\left(-\sqrt3\right)=4\sqrt{(15)(3)}=4\sqrt{5\cdot3\cdot3}=4\sqrt5\cdot\sqrt9\\\\=4\sqrt5\cdot3=12\sqrt5$

6 0

3 years ago

What is the slope of the line that passes through the points (8,-6) and (11,-12)? write the answer in simplest form.​

What is the slope of the line that passes through the points (8,-6) and (11,-12)? write the answer in simplest form.