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Andreyy89
3 years ago
10

A cylinder has a radius of 40 ft and a height of 17 ft. What is the exact surface area of the cylinder?

Mathematics
1 answer:
Ivan3 years ago
5 0
2 pi r h+2 pi r squared

2 x pi x 40 x 17 = 4272.566009

2 x pi x 40 squared = 10053.09649

so 4272.566009 + 10053.09649 = 14325.6625
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Write 807,530,012 in Word Form
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If one person runs 8.1 miles per hour in one direction and another with a speed of 6.3 in an other direction how many hours woul
djverab [1.8K]

Answer:

1.4 hours

Step-by-step explanation:

Runner A:

Speed = 8.1 mph

Time, = t

Runner B :

Speed = 6.3 mph

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7 0
2 years ago
Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the
mash [69]

Answer:

The probability of Thomas inviting Madeline to the party over the phone is 0.143.

Step-by-step explanation:

Consider the tree diagram below.

The events are denoted as follows:

<em>A</em> = Thomas bumps into Madeline at school

<em>B</em> = Thomas call Madeline on the phone

<em>X</em> = Thomas asks Madeline to the party

The information provided is:

P (A) = 0.80

P (B) = 1 - P (A) = 1 - 0.80 = 0.20

P (X|A) = 0.90

⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10

P (X|B) = 0.60

⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40

The conditional probability of event <em>U</em> given that another events <em>V</em> has already occurred is:

P(U|V)=\frac{P(V|U)P(U)}{P(V)}

The law of total probability states that:

P(V)=P(V|U)P(U)+P(V|U')P(U')

In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).

Use the law of total probability to determine the value of P (X) as follows:

P(X) = P(X|A)P(A)+P(X|B)P(B)

         =(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84

Compute the value of P (B|X) as follows:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}

             =\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143

Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.

6 0
3 years ago
The lines graphed below are perpendicular. The slope of the red line is 4. What is the slope of the green line?
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-1/4 the negative reciprocal of the slope of the red line
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