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Sveta_85 [38]
3 years ago
7

1.

Mathematics
1 answer:
creativ13 [48]3 years ago
7 0

If the diameter is 12 inches, the radius is 6 inches, because the radius is half the diameter.

Given the formula

A=\pi r^2

we have

A=36\pi

When you fold the circle in half, the resulting figure has half the area.

So, you start with a circle with area 36\pi

You fold it once and you have a semicircle with area 18\pi

You fold it twice and you have a quarter circle with area 9\pi

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a packe of cards conatins 4 red and 5 black cards. a hand of 5 cards is drawn without replacment. What is the proablity of all f
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Answer: Our required probability is 0.3387.

Step-by-step explanation:

Since we have given that

Number of red cards = 4

Number of black cards = 5

Number of cards drawn = 5

We need to find the probability of getting exactly three black cards.

Probability of getting a black card = \dfrac{5}{9}

Probability of getting a red card = \dfrac{4}{9}

So, using "Binomial distribution", let X be the number of black cards:

P(X=3)=^5C_3(\dfrac{5}{9})^3(\dfrac{4}{9})^2\\\\P(X=3)=0.3387

Hence, our required probability is 0.3387.

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Heather makes $6.50 per hour. Every three months, she is eligible for a 2% raise. How much will she make after 2 years if she ge
sammy [17]

Answer:

$7.62 per hour


Step-by-step explanation:

Since, Heather gets a raise every 3 months, in 2 years, she will get a raise 8 times (2years = 24 months, 24 divided by 3 is 8).

Now it becomes a compound growth problem. We can use the formula shown below to solve these type of problems.

F=P(1+r)^t

Where,

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  • P is the present rate ($6.5)
  • r is the rate of growth, in decimal (2% growth means 0.02)
  • t is the time frame, number of times compounding occurs (for our case we have figured it to be 8)

<u>Now plugging in all the info, we get the value of F:</u>

F=P(1+r)^t\\F=6.5(1+0.02)^8\\F=6.5(1.02)^8\\F=7.62


Thus, after 2 years, Heather's hourly rate will be $7.62


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3 years ago
A farmer sold 3/5 of his oranges to a first customer and 90 oranges to a second customer. How many oranges did he have altogethe
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He had 225 oranges to start with

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