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dexar [7]
3 years ago
5

Find the equation of the line containing the point (3, 3) and parallel to the line

Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0

Answer:

y = 2x - 3

Step-by-step explanation:

Parallel lines have the same slope

only the constant changes

y = 2x + b

To find "b"

Plug in point (3, 3)

3 = 2(3) + b

3 = 6 + b

Subtract 6 from both sides

-3 = b

The equation for the parallel line is

y = 2x - 3

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Step-by-step explanation:

divide 228 by 12 to get a unit rate of 19 and then divide 152 by 19 to get 8

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3 years ago
Is this correct????????????
RoseWind [281]

Answer:

Step-by-step explanation:

Yes

It is correct

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The table shows formulas for the recommended heart rates during exercise for a person who is "a" years old. Write and solve a co
Naily [24]

Answer:

102 ≤ heart rate ≤ 183.6

Step-by-step explanation:

... lower limit ≤ heart rate ≤ upper limit

Put 16 where "a" is and do the arithmetic.

... lower limit = 0.5(220 -16) = 102

... upper limit = 0.9(220 -16) = 183.6

Then the inequality is ...

... 102 ≤ heart rate ≤ 183.6

_____

<em>Comment on the problem</em>

There is nothing to "solve" here. One only needs to evaluate the limits.

7 0
3 years ago
4 / 3 is equal to 12 / k<br> What does k equal?
Natali5045456 [20]

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Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Suppose that a basketball player different from the
Volgvan

Answer:

a. Mean = 6

Variance = 2.4

Standard Deviation = 1.55

b. P(X=16) = 0.124

Step-by-step explanation:

Given

n = Total shots = 10

p = Probability of success = 60%

p = 60/100

p= 0.6

q = Probability of failure

q = 1-p

q = 1 - 0.6

q = 0.4

a.

Mean = np

Mean = 10 * 0.6

Mean = 6

Variance = npq

Variance = 10 * 0.6 * 0.4

Variance = 2.4

Standard Deviation = √Variance

Standard Deviation = √2.4

Standard Deviation = 1.549193338482966

Standard Deviation = 1.55 --------- approximated

b.

We have X = 16

x = 10

Assume that the events "success" on the various throws are independent.

The 10th success came on the 16th attempt

So, the player had exactly 10 successes and 6 failures on 16th trial

So Probability = nCr 0.6^10 * 0.4^6

Where n = 15 and r = 9 (number of attempts and success before the 16th trial)

15C9 * 0.6^10 * 0.4^6

= 5005 * 0.0060466176 * 0.004096

= 0.123958563176448

= 0.124 ------ Approximated

6 0
3 years ago
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