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3 years ago

The formula for finding the area of a circle is a equals pi r square. solve the formula for r.

Mathematics

1 answer:

Reika [66]3 years ago

5 0

I hope this helps you

Area=pi.r^2

r^2=Area/pi

r= square root of Area/pi

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Find the measure of CD

Marysya12 [62]

Answer:

Step-by-step explanation:

The central angle of the segment is 60 degrees. Line CD is the same length as the radius and there are 3 sides with the same length. The triangle so formed is equilateral and the apex angle is 60 degrees which is the central angle.

The measure of arc CD is 60 degrees.

8 0

3 years ago

A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon

____ [38]

Complete Question

A random sample of 300 circuits generated 13 defectives. a. Use the data to test

$H_o : p = 0.05$

Versus

$H_1 : p \ne 0.05$

Use α = 0.05. Find the P-value for the test

Answer:

The p-value is $p-value = 0.5949$

Step-by-step explanation:

From the question we are told that

The sample size is n = 300

The number of defective circuits is k = 13

Generally the sample proportion of defective circuits is mathematically represented as

$\^ p = \frac{k}{n}$

=> $\^ p = \frac{13}{300}$

=> $\^ p = 0.0433$

Generally the standard Error is mathematically represented as

$SE = \sqrt{\frac{p(1- p)}{n} }$

=> $SE = \sqrt{\frac{0.05(1- 0.05)}{300} }$

=> $SE = 0.0126$

Generally the test statistics is mathematically represented as

$z = \frac{\^ p - p }{SE}$

=> $z = \frac{0.0433 - 0.05 }{0.0126}$

=> $z = -0.5317$

From the z table the area under the normal curve to the left corresponding to -0.5317 is

$(P < -0.5317 ) = 0.29747$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z < -0.5317 )$

=> $p-value = 2 * 0.29747$

=> $p-value = 0.5949$

3 0

3 years ago

Ethan throws a ball into the air from a cliff that is 152.4 m high with an initial velocity of 4 m/s. How long does it take for

Dmitry_Shevchenko [17]

38.1 seconds I believe simply divide 4m/s into 152.4 m and you will have 38.1 seconds

8 0

3 years ago

Read 2 more answers

Simplify the rational expression. State any restrictions on the variable.

natulia [17]

Answer:

t+4, t≠8

Step-by-step explanation:

$\dfrac{t^2-4t-32}{t-8}=\dfrac{(t+4)(t-8)}{(t-8)}=t+4$

The value of t must not be one that makes the denominator zero, hence must not be 8.

8 0

3 years ago

The quadratic function f (x) = - 45x2 + 350x + 1,590 models the population of a city where x represents the number of years sinc

kramer

Answer: 2,215,000

Step-by-step explanation:

Given: The quadratic function $f (x) = - 45x^2 + 350x + 1,590$ models the population of a city where x represents the number of years since 2005.

To Find: population of the city in 2010

We need to put x= 2010-2005 = 5

$f (5) = - 45(5)^2 + 350(5) + 1,590\\\\=-1125+1750+1590 =2215$

Hence, the estimated population of the city in 201 = 2215 thousands or 2,215,000 .

3 0

2 years ago