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dlinn [17]
3 years ago
6

Write the equation of the line that is parallel to y=4x-1 and passes through the point (4.9)

Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0

9514 1404 393

Answer:

  y = 4x -7

Step-by-step explanation:

Rearranging the slope-intercept for equation, we can find the intercept:

  y = mx +b

  y -mx = b . . . . . subtract mx

We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.

  b = 9 -4(4) = -7

The desired equation is ...

  y = mx +b

  y = 4x -7

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8(-2x+1)=30-(-4+3x)<br><br> solve for x
Fittoniya [83]

Answer:

-2

Step-by-step explanation:

8 (-2x + 1) = 30 - (-4 + 3x)   Distribute

-16x + 8 = 30 + 4 - 3x  Combine like terms

-16x + 8 = 34 - 3x   Rearrange terms

-13x = 26 Divide by -13 on both sides

x = -2

4 0
2 years ago
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Enrique charges $5 for every 1/5 hour he spends walking dogs.
azamat
So it would be 12 minutes and $5 per 12 minutes.
4 0
3 years ago
Kieth bought 165 crayons that came in packs of 15. There were 9 colors of crayons how many packs of crayons did Kieth buy?
Andrej [43]

Answer:

11 packs

Step-by-step explanation:

165/15 = 11

6 0
3 years ago
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We have five samples of data: sample A with 30 successes of 50 cases, sample B with 600 successes of 1000 cases, sample C with 3
faust18 [17]

Answer:

C. with 3000 successes of 5000 cases sample

Step-by-step explanation:

Given that we need to test if the proportion of success is greater than 0.5.

From the given options, we can see that they all have the same proportion which equals to;

Proportion p = 30/50 = 600/1000 = 0.6

p = 0.6

But we can notice that the number of samples in each case is different.

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size

po = Null hypothesized value

p^ = Observed proportion

Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.

Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis

3 0
3 years ago
What is the value for X?​
Luda [366]

Answer:

5

Step-by-step explanation:

6x + 4 + 73 + 73 = 180

6x + 150 = 180

6x = 30

x = 5

Those little marks on AB and BC denote congruence. That makes the triangle isoceles. That means the base angles are equal. Both 73.

Triangle Sum Theory states all angles of a triangle add to 180.

6 0
3 years ago
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