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3241004551 [841]

3 years ago

14

Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.Explain ho

w you know that Rectangle C is not a scaled copy of Rectangle B.

1 answer:

postnew [5]3 years ago

7 0

Step-by-step explanation:

Because the ratio of length:width is..

15:10 for b

and

30:15 for c.

Now we will divide..

3:2 for b

and

2:1 for c.

Those are NOT the same things!

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The distribution of passenger vehicle speeds traveling on a certain freeway in California is nearly normal with a mean of 71.5 m

Zinaida [17]

Answer:

a

$G = 0.007523$

b

The number of cars the highway patrol officer would watch before a car that is seen is $E(X) = 1.6027$

The standard deviation is $s = 0.9829$

gg

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 71.5 \ miles/hour$

The standard deviation is $\sigma = 4.75 \ miles/hour$

The speed limit is $x = 70 \ miles /hour$

Generally the probability of getting a car that is moving with speed greater than the speed limit is mathematically represented as

$p =P(X > x ) = P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})$

=> $p= P(X > 70) = P(\frac{X - \mu }{\sigma } > \frac{70 - 71.5 }{4.75})$

=> $p= P(X > 70) = P(\frac{X - \mu }{\sigma } > -0.31579 )$

Here

$\frac{X - \mu }{\sigma } = Z(The \ standardized \ value \ of X )$

So

=> $p= P(X > 70) = P(Z > -0.31579 )$

From the z-table

$p = P(Z > -0.31579 ) = 0.62392$

So

$p = P(X > 70) = 0.62392$

Generally the probability of getting a car that is not moving with speed greater than the speed limit is mathematically represented as

$q = 1 - p$

=> $q = 1 - 0.62392$

=> $q = 0.37608$

Generally the probability of getting 5 cars that are not speeding is mathematically represented as

$G = q^5$

=> $G = (0.37608)^5$

=> $G = 0.007523$

Generally the number of cars that the highway patrol officer is expected to watch until the first car that is speeding is gotten is mathematically represented as

$E(X) = \frac{1}{p}$

=> $E(X) = \frac{1}{0.62392}$

=> $E(X) = 1.6027$

Generally the standard deviation is mathematically represented as

$s = \sqrt{\frac{1 - p }{ p^2} }$

=> $s = \sqrt{\frac{1 -0.62392 }{ (0.62392)^2} }$

=> $s = 0.9829$

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3 years ago

A piece of cloth is required to completely cover a solid object. The solid object is composed of a hemisphere and a cone surmoun

Otrada [13]

Answer:

▶(B) 463.39 m²

<h3>Step-by-step explanation:</h3>

$\space$

Surface area of hemisphere = 2πr²

=> 2×22/7× (7)² = 308 m²

☯<u>For calculating the surface area of a cone we need to calculate its slant height,</u>

$\sf{ \leadsto \: 1 = \sqrt{49 + 1} = \sqrt{50 \: } m}$

$\space$

$\sf{ \leadsto \: \pi \ r1 = \frac{22}{7} \times 7 \times \sqrt{50} = 463.39 \: {m}^{2} }$

$\: \:$

Hope it helps!

Have a great day! :)

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Mars2501 [29]

It is always a rational number

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MaRussiya [10]

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Explanation:

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3 years ago

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QveST [7]

1. B 2. A 3. B that’s what you looking for

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