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2 years ago

What is the area of a circle with a radius of 7 cm? (Use 3.14 and round to the nearest tenth.)

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

5 0

A = πr²

A = π7²

A = 49π

A = 49.3,14

A = 153,86

Rounding to the nearest tenth

A = 153,9 cm²

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In a certain city of several million people, 7.7% of the adults are unemployed. If a random sample of 300 adults in this city is

Lilit [14]

Answer: 0.2643

Step-by-step explanation:

Given : The proportion of adults are unemployed : p=0.077

The sample size = 300

By suing normal approximation to the binomial , we have

$\mu=np=300\times0.077=23.1$

$\sigma=\sqrt{np(1-p)}=\sqrt{300\times0.077(1-0.077)}\\\\=4.61749932323\approx4.62$

Now, using formula $z=\dfrac{x-\mu}{\sigma}$ , the z-value corresponding to 26 will be :-

$z=\dfrac{26-23.1}{4.62}\approx0.63$

Using standard distribution table for z , we have

P-value= $P(z\geq0.63)=1-P(z$

$=1-0.7356527=0.2643473\approx0.2643$

Hence, the probability that at least 26 in the sample are unemployed =0.2643

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2 years ago

The ravens scored 13 more than three times number points that the bengals scored in their last game. If the ravens scored 40 poi

katrin2010 [14]

The score of Raven is 9 points

<em><u>Solution:</u></em>

Let the point scored by bangal be"x"

Score of Raven = 40 points

Given that,

The ravens scored 13 more than three times number points that the bangals scored in their last game

Score of raven = 13 + 3(score of bangal)

40 = 13 + 3x

Solve the above equation for x

3x = 40 - 13

3x = 27

x = 9

Thus the score of Raven is 9 points

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3 years ago

Which set of sides will make a triangle

ElenaW [278]

Answer:

the third one 10 cm, 9cm 9cm

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3 years ago

How many pieces do I need for 1:3 ratios?

Lemur [1.5K]

Answer:

Step-by-step explanation:

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2 years ago

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Effectus [21]

Answer:

Domain: (-∞,∞), Range: [2,∞)

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2 years ago