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Alex73 [517]
3 years ago
5

What is the equation of the line passing through the point (4, 5) that is parallel to the line with the equation

Mathematics
1 answer:
Reptile [31]3 years ago
7 0

Answer:

y=2x-3

Step-by-step explanation:

1. find the slope

6x-3y=21

-3y=-6x+21 divide both sides by -3

y=2x-7

slope is 2

2.y-5=2(x-4)

  y-5=2x-8

  y=2x-8+5

  y=2x-3

PARALLEL lines have the same slope

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A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television e
ikadub [295]

The value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

<h3>How to find the z score (z statistic) for the sample mean?</h3>

If we're given that:

  • Sample mean = \overline{x}
  • Sample size = n
  • Population mean = \mu
  • Sample standard deviation = s

Then, we get:

z = \dfrac{\overline{x} - \mu}{s}

If the sample standard deviation is not  given, then we can estimate it(in some cases) by:

s = \dfrac{\sigma}{\sqrt{n}}

where \sigmapopulation standard deviation

For this case, we're specified that:

  • Sample mean = \overline{x} = 2.3
  • Sample size = n = 15
  • Population mean = \mu  = 2.7
  • Population standard deviation = \sigma = 0.4

Thus, the value of the z-statistic is evaluated as:

z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{2.3- 2.7}{0.4/\sqrt{15}} \approx -3.87

Thus, the value of the z statistic for the considered data is given by: Option A: -3.87 approximately.

Learn more about z statistic here:

brainly.com/question/27003351

6 0
3 years ago
5/8 of the staff are male. 5/12 of the staff works part time at the aquarium. What is the fraction of the staff being a female?
mestny [16]

Answer:3/8

Step-by-step explanation:

5/8 of the staff are male.  The entire staff is represented by the fraction 8/8.  Taking 5/8 from this, what we have left is

8/8-5/8 = 3/8 of the staff are female.

5 0
3 years ago
Complete the solution of the equation. Find the value of y when x equals -2. -4x+8y=-24 ​
zepelin [54]

Answer:y=-4

Step-by-step explanation:

Multiply -4 by -2 you get positive 8 rewrite the equation subtract 8 from both sides that leaves you with 8y=-32 your final step is to divide both sides 8 that leaves you with -4 which is the answer.

5 0
3 years ago
Read 2 more answers
I dont understand the circled question ....please help!
irina1246 [14]

Parallel lines NEVER intersect/meet, this is because they have the same slope and they go in the same direction.

These lines are parallel because they have the same slopes of 3/4 (because they go 3 units up and 4 units to the right. slope = rise/run)

7 0
3 years ago
What is the surface area of the square pyramid?
wel
Ok to start you need to break this into a net in your head. Next, calculate each triangle
(6*7)/2 = 21
Then, multiply each triangle by the amount of them.
21*4 = 84
Next, get the area of the square.
7*7 = 49
Lastly, add the triangles and the square up.
49 + 84 = 133
3 0
3 years ago
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