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timama [110]
3 years ago
14

PLEASE HELP AND EXPLAIN!!!!! thank you, appreciate it!!

Mathematics
1 answer:
snow_tiger [21]3 years ago
3 0

Answer:

B = \pi (3\frac{1}{2})^2

Step-by-step explanation:

Given

D = 7\ in

H = 2\frac{3}{4}\ in

See attachment for question and options

Required

Which best describe the base area of the pan

The base area (B) is calculated using:

B = \pi r^2

Where

r = \frac{1}{2}D

So, we have:

r = \frac{1}{2}*7

r = \frac{7}{2}

r = 3\frac{1}{2}

Substitute r = 3\frac{1}{2} in B = \pi r^2

B = \pi (3\frac{1}{2})^2

(a) is correct

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Remark

You can use  a method called unit analysis to solve this problem. You will use it many times in your education later on.

Solve

\dfrac{28 mile}{hour} *\dfrac{5280 feet}{mile}*\dfrac{1 hour}{60 min}*\dfrac{1 min}{60 sec}

Now sort out the numbers  in the numerator and those in the denominator and multiply them together.

<em><u>Numerator</u></em> 28 * 5280 * 1 * 1 = 147840

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Answer:

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Step-by-step explanation:

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).

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Let X be a random variable which denotes the money you may win or lose on each spin.

In the game of roulette, a wheel consists of 38 slots. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, we win $35; otherwise we lose $1.  So we have just one possibility to win and 37 of lose on an individual game.

___________________________

X            P(X)

___________________________

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-1            37/38

___________________________

In order to calculate the expected value we can use the following formula:

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E(X)=(35)*(\frac{1}{38})+(-1)(\frac{37}{38})=-0.0526

In order to find the standard deviation we need to find first the second moment, given by :

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And using the formula we got:

E(X^2)=(35^2)*(\frac{1}{38})+((-1)^2)(\frac{37}{38})=33.211

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