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3 years ago

15

Four of your friends went out to dinner. The total bill was $97.38. One of your friends has a coupon for 35% off and the group l

eft an 18% tip. If each person paid the same amount how much did each person pay

1 answer:

GaryK [48]3 years ago

4 0

It is $18.672615 or $18.67 a piece

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Find the radius of a right cylinder with a volume of 350 cubic feet and a height of 4 feet. Round your answer to the nearest hun

frosja888 [35]

Answer:

Radius $=\sqrt{27.87}$ feet

Step-by-step explanation:

Volume of a right cylinder= $\pi *r^2*h$

Volume= $350 feet^3$

Height(h)= $4 feet$

As, $\pi =\frac{22}{7}=3.14$

$350=3.14*r^2*4\\\\350=12.56*r^2\\\\r^2=350/12.56\\\\r^2=27.87\\\\r=\sqrt{27.87}feet$

Radius $=\sqrt{27.87}$ feet

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If 1/3 of 33 bakers can make 89 pretzels in 2 1/2 hours, then how many pretzels can 5 3/4 bakers make in 1 1/2 hours? Explain yo

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Answer:

Step-by-step explanation:

11 bakers makes 89 pretzels in 2.5 hours

11 bakers makes 35.6 pretzels in 1 hour

1 baker makes 3.23636 pretzels in 1 hour

so, 5.75 bakers in 1.5 hours at 3/23636 pretzels per hour will make....

5.75* 1.5 * 3.23636 = 27.9136 pretzels

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3 years ago

Olivia uses the work below to determine 55% of 720.

Anna11 [10]

Answer:

396

Step-by-step explanation:

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3 years ago

Ally babysat nine times. She earned $15, $20, $10, $12, $20, $16, $80, and $18. Find the mean number of dollars that Ally earned

eduard

Answer:

The mean is 21.62 which is approximately 22

Step-by-step explanation:

mean= 15+20+10+12+20+16+80+18/8=21.62 because

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3 years ago

In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2,..., 36. To play the game, a metal ball is spun a

Oxana [17]

Answer:

$E(X)=-0.0526$

$Sd(X)=5.763$

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).

And the standard deviation of a random variable X is just the square root of the variance.

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)

___________________________

35 1/38

-1 37/38

___________________________

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

$E(X)=\sum_{i=1}^n X_i P(X_i)$

And if we use the values obtained we got:

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

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

$E(X^2)=\sum_{i=1}^n X^2_i P(X_i)$

And using the formula we got:

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

Then we can find the variance with the following formula:

$Var(X)=E(X^2)-[E(X)]^2 =33.211-(-0.0526)^2 =33.208$

And then the standard deviation would be given by:

$Sd(X)=\sqrt{Var(X)}=\sqrt{33.208}=5.763$

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3 years ago