MATHEMATICS COLLEGE

Find the area of the shaded segment of the circle. (Round your answer to the nearest hundredth). (7.4 Segment of a Circle)
Find the area of the shaded segment of the circle. - 1

Answers

Answer 1
Answer:

Answer: 353.77

Step-by-step explanation:

Let's start by considering the sector ACB.

The area of this sector is \pi \cdot 24^(2) \cdot (120)/(360)=192\pi

Now, let's consider the area of triangle ACB. Its area is given by:

(1)/(2) \cdot 24 \cdot 24 \cdot \sin 120^(\circ)=144√(3)

So the area of the shaded segment is 192\pi -144√(3) \approx 353.77

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Bryce wrote the linear regression equation y=1.123x-6.443 to predict the armspan, y, of a person who is x inches tall. Riley has an armspan of 67.5 inches. Which is the best prediction of Riley’s height? A. 54.36 inches
B. 65.84 inches
C. 66.55 inches
D. 69.36 inches

Answers

Answer:

B. 65.84

Step-by-step explanation:

You are given the armspan and a relation between that and height. Put the given value in the equation and solve for the unknown.

... 67.5 = 1.123x -6.443

... 73.943 = 1.123x

... 73.943/1.123 = x = 65.84

Riley's height is predicted to be 65.84 inches.

A disease has hit a city. The percentage of the population infected t days after the disease arrives is approximated by ​p(t)equals7 t e Superscript negative t divided by 13 for 0less than or equalstless than or equals39. After how many days is the percentage of infected people a​ maximum? What is the maximum percent of the population​ infected?

Answers

Answer:

t = 13 days

p(13) = 33.47%

Step-by-step explanation:

p(t) is the percentage of the population infected:

p(t) = 7*t*e∧(-t / 13)

where    0 ≤ t ≤ 39 days

we can apply p'(t) = 0  to get number of days where the percentage of infected people is maximum:

p'(t) = (7*t*e∧(-t / 13))' = 7*(t*e∧(-t / 13))' = 7*((t)'*e∧(-t / 13)+t*(e∧(-t / 13)') = 0

⇒  7*(1*e∧(-t / 13)+t*e∧(-t / 13)*(-1 / 13)) = 7*e∧(-t / 13)*(1 - (t / 13)) = 0

∴  1 - (t / 13) = 0    ⇒    t = 13 days

then we get the maximum percent of the population​ infected as follows

p(13) = 7*13*e∧(-13 / 13)

⇒  p(13) = 33.47%

Interest centers around the life of an electronic component. Let A be the event that the component fails a particular test and B be the event that the component displays strain but does not actually fail. Event A occurs with probability 0.39​​, and event B occurs with probability 0.24. A) What is the probability that the component does not fail the​ test?
B) What is the probability that a component works perfectly well (i.e., neither displays strain nor fails the test)?
C) What is the probability that the component either fails or shows strain in the test?

Answers

Answer: a. 0.61

b. 0.37

c. 0.63

Step-by-step explanation:

From the question,

P(A) = 0.39 and P(B) = 0.24

P(success) + P( failure) = 1

A) What is the probability that the component does not fail the​ test?

Since A is the event that the component fails a particular test, the probability that the component does not fail the​ test will be P(success). This will be:

= 1 - P(A)

= 1 - 0.39

= 0.61

B) What is the probability that a component works perfectly well (i.e., neither displays strain nor fails the test)?

This will be the probability that the component does not fail the​ test minus the event that the component displays strain but does not actually fail. This will be:

= [1 - P(A)] - P(B)

= 0.61 - 0.24

= 0.37

C) What is the probability that the component either fails or shows strain in the test?

This will simply be:

= 1 - P(probability that a component works perfectly well)

= 1 - 0.37

= 0.63

He height of Niagara Falls is 56 meters. How many
kilometers high is Niagara Falls?

Answers

Answer:

0.056 kilometers

Step-by-step explanation:

What is the answer to this problem and why 60+60×0+1=

Answers

The answer is 61 because 60+60=120*0=0=1=61
60 + 60 x 0 + 1 = 61

Let's go into the, "why" part!

Try to remember this mnemonic:
PEMDAS

Parenthesis
Exponent
Multiplication
Division
Addition
Subtraction

This is what is called the ORDER of OPERATIONS!

Normally you go straight down the list, but...
Keep in mind that Multiplication and Division are on the same priority. Same with Addition and Subtraction.

So first we look to see if there is any numbers in parenthesis. There is not. Any exponents? Nope!
How about Multiplication or Division?
Yep!!!!! Bingo!

60 + 60 x 0 + 1= ?

Do the multiplication first. 60 x 0 = 0 (Because anything times 0 equals 0)

Addition and subtraction come next!

60 and 0 are out so we are left with!

60 + 1 = ?

61! 

What is the circumference of earth's equator?

Answers

Answer:

40,075 kilometers

Step-by-step explanation:

The distance around the Earth at the Equator, its circumference, is 40,075 kilometers
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