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3 years ago

What is the area of a circle that has a circumference of 42 inches? A. 140.4 in2 B. 126.60 in2 C. 132.62 in2 D. 21.04 in2

1 answer:

7 0

Circumference = 2 $\pi$ r
   42 = 2 $\pi$ r
42/(2 $\pi$ ) = r
21/ $\pi$ = r

Area = $\pi$ r²
   = $\pi$ (21/ $\pi$ )²
   = 21²/ $\pi$
   = 140.37
   ≈ 140.4

Answer: A

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Perform the following computations.You may use13≈0.333333,34= 0.75 and100301= 0.332226.(i). Compute13+34by using five significan

White raven [17]

Answer:

a. 1.0833

Absolute Error = 0.416667

Relative Error = 1.250002

b. 0.0011070

Absolute Error = 0.0011070

Relative Error = 0.003321

Step-by-step explanation:

Given

1/3 = 0.333333

3/4 = 0.75

100/301 = 0.332226

1/3 + 3/4

= 0.333333 + 0.75

= 1.083333

= 1.0833 ------ Approximated to 5 significant digits

Absolute Error = |Real Value - Estimated Value|

Relative Error = Absolute Error/Real Value

Assume 1/3 to be the real value and 3/4 to be the estimated value

Absolute Error = |0.333333 - 0.75|

Absolute Error = |-0.416667|

Absolute Error = 0.416667

Relative Error = 0.416667/0.333333

Relative Error = 1.250002

1/3 - 100/301

= 0.333333 - 0.332226

= 0.001107

= 0.0011070 ----- Approximated to 5 significant digits

Assume 1/3 to be real value and 100/301 to be estimated value

Absolute Error = 0.333333 - 0.332226

Absolute Error = 0.0011070

Relative Error = 0.0011070/0.333333

Relative Error = 0.003321

Absolute and relative errors are approximation errors and they are due to the discrepancy between an exact value and some approximation to them.

The absolute error is the magnitude of the difference between the exact value and the approximation. The relative error is the absolute error divided by the magnitude of the exact value

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3 years ago

45 centimeters is equal to how many inches

Solnce55 [7]

Answer:

Around 17.716 inches

Step-by-step explanation:

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3 years ago

An article reported that what airline passengers like to do most on long flights is rest or sleep; in a survey of 3697 passenger

slava [35]

Answer:

Step-by-step explanation:

Hello!

The study variable is:

X: number of passengers that rest or sleep during a flight.

The sample taken is n=9 passengers and the probability of success, that is finding a passenger that either rested or sept during the flight, is p=0.80.

I'll use the binomial tables to calculate each probability, these tables give the values of accumulated probability: P(X≤x)

a. P(6)= P(X=6)

To reach the value of selecting exactly 6 passengers you have to look for the probability accumulated until 6 and subtract the probability accumulated until the previous integer:

P(X=6)= P(X≤6)-P(X≤5)= 0.2618-0.0856= 0.1762

b. P(9)= P(X=9)

To know the probability of selecting exactly 9 passengers that either rested or slept you have to do the following:

P(X≤9) - P(X≤8)= 1 - 0.8657= 0.1343

c. P(X≥6)

To know what percentage of the probability distribution is above six, you have to subtract from the total probability -1- the cumulated probability until 6 but without including it:

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I hope it helps!

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3 years ago

A boogie board that has a regular price of $69 is on sale at a 35% discount. What is the sale price with a 7% tax?

san4es73 [151]

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2 years ago