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Vesnalui [34]
3 years ago
11

The power, P (watts) , of a car engine is proportional to the square of its speed, s ( m / s ) . When s = 30 , P = 1260 . Work o

ut the power when the speed is 25 m / s
Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0

Answer:

875 Watts

Step-by-step explanation:

Given that :

P α s²

P = ks²

Where k is the proportionality constant

When ; p = 1260 ; s = 30

1260 = k * 30²

1260 = 900k

k = 1260 / 900

k = 1.4

Value of p ; when s = 25

P = 1.4 * s²

P = 1.4 * 25²

P = 1.4 * 625

P = 875 watt

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3 years ago
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3 0
3 years ago
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Greeley [361]
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8 0
3 years ago
The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.30​, and the sample statistics
IrinaK [193]

Answer: 0.84

Step-by-step explanation:

let p be the population proportion of adults who smoked a cigarette in the past week.

As per given , we have

H_a: p

Sample size : n= 1491

The sample proportion of adults smoked a cigarette= \hat{p}=\dfrac{x}{n}=\dfrac{462}{1491}=0.30985915493\approx0.31

The test statistic for proportion is given by :-

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Substitute all the values , we get

z=\dfrac{0.31-0.30}{\sqrt{\dfrac{0.30(1-0.30)}{1491}}}\\\\=\dfrac{0.01}{\sqrt{0.000141}}\\\\=\dfrac{0.01}{0.011874342087}=0.84261497731\approx0.84

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6 0
3 years ago
Perform the indicated operation. square root of 8 + square root of 50
Dmitrij [34]
Square root of 8 = 2.82842712475

Square root of 50 = <span>7.07106781187
</span>
Sum = 9.89949494

If you would like to round, you can go ahead and round 9.89949494 to 9.9

6 0
4 years ago
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