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3 years ago

PLEASE HURRY!!!!

Mathematics

1 answer:

svp [43]3 years ago

5 0

1. D

2. D

3. c

4. A

5. C

I'm not 100% sure about these. Just letting you know.

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What is the equation of the line that is parallel to the given line and passes theought the point (12, -2)

Nesterboy [21]

Answer:

Option D (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

$slope(m1) = \frac{y2 - y1}{x2 - x1}$

$or \: m1 = \frac{ - 4 - 6}{0 - 12}$

$or \: m1 = \frac{5}{6}$

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

$y + 2 = \frac{5}{6} x - 10$

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

Hope it helps!

3 0

3 years ago

Which are counterexamples? Look at the picture below. Choose all that apply.

Flauer [41]

Answer:

$x^4/(2x^6)$

Explanation:

In the first example the division results in a radical, not a polynomial.

The remaining examples are not counter-examples (they do result in a polynomial)

8 0

3 years ago

joe is using his allowance money to download songs from the internet. he can download them at a rate of eight songs every 10 min

Mama L [17]

Joe: 8 songs in 10 minutes = 8/10 = 0.8 songs per minute

Jasmine: 12 songs in 15 minutes = 12/15 = 0.8 songs per minute

they are downloading at the same speed

7 0

3 years ago

If m∠4 = (5x+4)° and m∠6 = (7x-36)°, then x = ______.

gizmo_the_mogwai [7]

Answer:

x=20

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Suppose that replacement times for washing machines are normally distributed with a mean of 9.3 years and a standard deviation o

Harlamova29_29 [7]

Answer:

The probability is 0.0643

Step-by-step explanation:

* Lets revise some definition to solve the problem

- The standard deviation of the distribution of sample means is called σM

- σM = σ/√n , where σ is the standard deviation and n is the sample size

- z-score = (M - μ)/σM, where M is the mean of the sample , μ is the mean

of the population

* Lets solve the problem

- The mean of the washing machine is 9.3 years

∴ μ = 9.3

- The standard deviation is 1.1 years

∴ σ = 1.1

- There are 70 washing machines randomly selected

∴ n = 70

- The mean replacement time less than 9.1 years

∴ M = 9.1

- Lets calculate z-score

∵ σM = σ/√n

∴ σM = 1.1/√70 = 0.1315

∵ z-score = (M - μ)/σM

∴ z-score = (9.1 - 9.3)/0.1315 = - 1.5209

- Use the normal distribution table of z to find P(z < -1.5209)

∴ P(z < -1.5209) = 0.06426

∵ P(M < 9.1) = P(z < -1.5209)

∴ P(M < 9.1) = 0.0643

* The probability is 0.0643

5 0

3 years ago