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klasskru [66]
3 years ago
8

In the diagram, L1 is parallel to L2.

Mathematics
1 answer:
TEA [102]3 years ago
4 0

Answer:

Step-by-step explanation:

b/c the angles are opposite of each other  they are the same

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A student group claims that first-year students at a university must study 2.5 hours (150 minutes) per night during the school w
AlekseyPX

Answer:

We have strong evidence that on average, students study less than 150 minutes per night during the school week

Step-by-step explanation:

Normal distribution:

mean     μ₀ = 150

Sample:

Sample size    n = 272

Sample mean   x = 141

Sample standard deviation  s  = 66

The standard error of the sample mean  SE = σ /√n

SE = 66/√272

SE = 66 / 16,49

SE = 4

Test Hypothesis:

Null hypothesis                            H₀             x  =   μ₀

Alternative hypothesis                Hₐ            x <    μ₀

z(s)  test statistics is:

z(s)  =  ( x  -  μ₀ ) / s/√n

z(s) = - 9 /4

z(s) =  -  2,25

p-value  for that z(s)      p-value  = 0,0122

Then for α =  0,05 p-value < 0,05

We are in the rejection region we need to reject H₀

7 0
3 years ago
The figure below is dilated with the center of dilation at the origin and a scale factor
almond37 [142]

Old coordinate

  • B(2,-6)

As center of dilation is origin the scale factor only multiplied with B

So

new coordinate

B'

  • 1/2(2,-6)
  • (2/2,-6/2)
  • (1,-3)

6 0
2 years ago
An electrician has 4 meters of wire.How many strips 7/10 meter long can he cut?
Sonbull [250]

Answer:

4/7/10

40/7 which is equal around 5. something...round

5 is your answer

Step-by-step explanation:

6 0
3 years ago
Someone please help?
PIT_PIT [208]
The last one is right
3 0
3 years ago
Look at teh screenshot pls
Dimas [21]

Hey there!

When they are asking which of them are equal we need to solve a, b, c and d and see if they match up to 6x^2-2x-20.

<u>Starting with A: </u>

Expand:

3 x 2x^2 + 3 x -x + 3 x -6

Simplify 3 x 2x^2 to 6x^2

6x^2 + 3 x -x + 3 x -6

Regroup.

6x^2 = 3x + 3 x -6

Simplify 3 x -6 to -18

6x^2 - 3x - 18

That does not match up to 6x^2-2x-20.

A is INCORRECT.

<u>Solving B:</u>

Collect like terms:

4x - 2x + 2x^2 - 20

The ones bolded are like terms.

So, we now collect them and add them.

4x^2 + 2x^2 = 6x^2

6x^2 - 2x - 20

That matches up with 6x^2-2x-20.

B is CORRECT.

<u>Solving C:</u>

Multiply the parentheses then multiply:

6x^2-12x+10x-20

Collect like terms:

6x^2 - 2x - 20

This matches up with 6x^2-2x-20.

Thus, C is CORRECT.

<u>Solving D:</u>

Multiply the terms in the parentheses by -2:

6x^2 - 2x - 2 x 10

Multiply the numbers:

6x^2 - 2x - 20

This also matches up with 6x^2 - 2x - 20 / they are <u>equal.</u>

Thus, D is also CORRECT.

<h3>Therefore, our answers are: </h3><h2><u>B, C, D </u></h2>

Thanks a ton for using Brainly! :)

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5 0
3 years ago
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