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Rashid [163]
3 years ago
11

Which ordered pair would form a proportional relationship with the point graphed below? 40 (-20,40) 30 20 10 -40-30-20-190 10 20

30 40 x -20 -30 -40 0 (-40, 20) 0 (-10.-20) O (15, -30) O (5, -15)​

Mathematics
1 answer:
sasho [114]3 years ago
6 0

Answer:

(15,-30)

Step-by-step explanation:

By forming a proportional relationship with the marked point, what we are saying is that the same dilation if applied to each coordinates of the marked point will form the new point

The marked point is given as (-20,40)

If we dilate this by -0.75 units

That will give (15, -30)

So this forms a proportional relationship with the marked point

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Answer:

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Step-by-step explanation:

The formula for Confidence Interval =

Mean ± z × Standard deviation /√n

Mean = 142. 3 mmHg

Standard deviation = 20.8 mmHg.

n = 12

Z score for 99% confidence interval = 2.56

Confidence Interval =

142.3 ± 2.56 × 20.8/√12

142.3 ± 2.56 × 6.0044427996

142.3 ± 15.371373567

Confidence Interval

= 142.3 - 15.371373567

= 126.92862643

≈ 126.93

142.3 + 15.371373567

= 157.67137357

≈ 157.67

Therefore, the 99% confidence interval = (126.93,157.67)

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3 years ago
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The percentage of winning if 20 winning numbers are randomly selected from numbers 1 to 80 is 12.48%.

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Probability of winning is calculated as under:

Probability=C(20,3)C(60,17)/C(80,20)

We have taken C(20,3) because player will win if 5 numbers are selected from 20 winning numbers.

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