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Svetradugi [14.3K]
3 years ago
12

2:4 14:20 proportion? show work thx

Mathematics
1 answer:
solniwko [45]3 years ago
4 0
2:4=\dfrac{2}{4};\ 14:20=\dfrac{14}{20}\\\\\dfrac{2}{4}=\dfrac{14}{20}\ \ \ \ |cross\ multiply\\\\2\cdot20=4\cdot14\\\\40=56\ \ \ |FALSE

Answer: It's not proportion.
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Answer: If the level of confidence is increased without changing the sample size then<em> </em><u><em>The margin of error will decrease because the critical value will decrease. The decreased margin of error will cause the confidence interval to be narrower.</em></u>

where;

<em>Margin of error = Critical value × Standard deviation</em>

<em>Here, it can be duly noted that Margin of error has a positive relation with critical value, i.e </em><u><em>The margin of error will decrease because the critical value will decrease.</em></u>

<u><em>whereas;</em></u>

The confidence interval is  <em>the value  ±  the margin of error.</em>

<em>Therefore, </em><u><em>the decreased margin of error will cause the confidence interval to be narrower.</em></u>

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A sprinter who weighs 706 N runs the first 5.5 m of a race in 1.6 s, starting from rest and accelerating uniformly. What are the
zhenek [66]

Answer:

(a) Speed = 6.875 m/s

(b) Kinetic Energy = 1.70 kJ

(c) Average power =  1.06 kW

Step-by-step explanation:

Given:

d = 5.5 m

t = 1.6 s

W = 706 N

Part (a)

Using the equation of motion with the assumption of zero initial speed:

d = \frac{1}{2} ({v-0})t

5.5= \frac{1}{2} (1.6v)

The speed of the sprinter then become:

v = 6.875 m/s

Part (b)

Convert the weight of the sprinter to mass:

m = \frac{w}{g}

m = \frac{706}{9.8}

m = 72 kg

KE (Kinetic Energy) can then be calculated as:

KE = \frac{1}{2} mv^{2}

KE = \frac{1}{2} (72)(6.875)^{2}

KE = 1701.56 J = 1.70 kJ

Part (c)

The change of the kinetic energy is equivalent to the work done by the sprinter. The average power P is the rate of the work done and can be calculated as

P = \frac{KE}{t} \\\

P = \frac{1701.56}{1.6}

P = 1063.48 W = 1.06 kW

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