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3 years ago

Does anyone know how to do this ?

Mathematics

2 answers:

lubasha [3.4K]3 years ago

8 0

Answer:

see below

Step-by-step explanation:

Find the circumference

C = 2 * pi *r

C = 2(.23) * pi

C = .46pi

Since the wheel rotated 829 times, multiply the circumference by 829

829 * .46 pi

381.34 pi

If pi = 3.14

1197.4076 meters

If using the pi button

1198.01494 meters

Alexeev081 [22]3 years ago

3 0

Step-by-step explanation:

The circumference of a wheel is 0.46π, and we simply have to multiply that by 829 which is 381.34π or 1197.41.

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A hyperbola centered at the origin has a vertex at (0,−40) and a focus at (0, 41).

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$\frac{(x-h)^{2} }{a^{2} } - \frac{(y - k)^{2} }{b^{2} } = 1$

$\frac{(x-0)^{2} }{40^{2} } - \frac{(y - 0)^{2} }{b^{2} } = 1$

a² + b² = c²

40² + b² = 41²

b² = 41² - 40²

b² = 1681 - 1600

b² = 81

b = 9

slope (m) of asymptote = $+/-\frac{y}{x} = +/-\frac{b}{a} = +/-\frac{9}{40}$

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3 years ago

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Complete question :

Sandra swims the 100-meter freestyle for her school’s swim team. Her state’s ranking system awards 3 points for first place, 2 points for second, 1 point for third, and 0 points if she does not place. Her coach used her statistics from last season to design a simulation using a random number generator to predict how many points she would receive in her first race this season.

What is Sandra’s expected value of points awarded for a race?

Integer Value Points Awarded Frequency

1-8 3 20

9-15 2 12

16-19 1 6

20 0 2

Answer:

expected value of points awarded for a race is 2.25

Step-by-step explanation:

Data given:

Integer Value - - Points Awarded - - Frequency

1-8 - - - - - - - - - - - - - 3 - - - - - - - - - - - - - - 20

9-15 - - - - - - - - - - - - 2 - - - - - - - - - - - - - - 12

16-19 - - - - - - - - - - - - 1 - - - - - - - - - - - - - - -6

20 - - - - - - - - - - - - - 0 - - - - - - - - - - - - - - - 2

Expected value(E) :

Score * probability of score

That is;

E = x * p(x)

From the data generated:

Probability of each score :

Probability = required outcome / Total possible outcomes

Total possible outcomes = (20+12+6+2) = 40

P(score(x) = 3) = 20/40 = 0.5

P(score(x) = 2) = 12/40 = 0.3

P(score(x) = 1) = 6/40 = 0.15

P(score(x) = 0) = 2/40 = 0.05

Expected score :

[(3*0.5) + (2*0.3) + (1*0.15) + (0*0.05)]

[1.5 + 0.6 + 0.15 + 0]

= 2.25

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The question is incomplete. The complete question is :

Let X be a random variable with probability mass function

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Solution :

Given :

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