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2 years ago

BRAINIST & 20 POINTS!!

Mathematics

2 answers:

valentina_108 [34]2 years ago

8 0

Answer:

y=2/3x-5

Step-by-step explanation:

First, let's put this equation into slope-intercept form.

2x-3y=24

-3y=-2x+24

y=2/3x-8

For two lines to be parallel, they must have the same slope. Therefore our slope is 2/3.

Now, we must find b. To do that we can plug the y and the x in.

-7=2/3(-3)+b

-7=-2+b

-5=b

y=2/3x-5

Mandarinka [93]2 years ago

4 0

Answer:

y = $\frac{2}{3}$ x - 5

Step-by-step explanation:

Points: (-3, -7)

Equation: 2x - 3y = 24

2x - 3y = 24

-3y = -2x + 24

y = $\frac{2}{3}$ x - 8

y = $\frac{2}{3}$ x + b

-7 = $\frac{2}{3}$ ( -3 ) + b

-7 = -2 + b

b = -5

y = $\frac{2}{3}$ x - 5

You might be interested in

-3+ 3x (x-7)=-6 (-5+ 4×)

Dennis_Churaev [7]

The answer to this question using the quadratic formula is x= -1+3√5/2 and x=-1-3√5/2
that is a square root, or, 3 times the square root of 5 ALL over 2, except for the 1. Same with the other one.

8 0

3 years ago

A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. (a) Describe the

Ivanshal [37]

Answer:

a) $\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

b) $z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

c) $z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

d) $z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

$\mu = 83, \sigma = 27$

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

$\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

Part b

We want this probability:

$P(\bar X>89)$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 89 we got:

$z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

Part c

$P(\bar X$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 75.65 we got:

$z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

Part d

We want this probability:

$P(79.4 < \bar X < 89.3)$

We find the z scores:

$z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

8 0

3 years ago

5m-8=2m+2 what does m equal

vesna_86 [32]

Answer:

m = 10/3

(as a decimal: m = 3.333...)

Step-by-step explanation:

5m - 8 = 2m + 2

- 2m - 2m (make all "m" on one side to isolate variable)

3m - 8 = 2

+ 8 + 8 (get m entirely on 1 side)

3m = 10

÷3 ÷3 (divide by 3 to get 1m)

m = 10/3

(as a decimal: m = 3.333...)

hope this helps!! have a lovely day :)

5 0

1 year ago

To classify a quadrilateral, use the slope of opposite sides to determine if the sides are ____________.

pogonyaev

Parallel or perpendicular

8 0

3 years ago

An integer, G, is rounded to give the value 10,000. There are many numbers that G could be.

marshall27 [118]

Answer:

499

Step-by-step explanation:

9,999 would be the greatest value

9500 would be the smallest value

if you subtract them you'll get 499

8 0

3 years ago