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worty [1.4K]
3 years ago
12

Calculate the area of the shaded region

Mathematics
1 answer:
velikii [3]3 years ago
4 0

Answer:

48π or 150.72

Step-by-step explanation:

The radius of the big circle is 8.

We can use that to find the area of the big circle.

Area is πr^2

π(8)^2

64π

Now, we can find the area of the small circle.

The diameter of that is 8, meaning the radius is 4.

πr^2

π(4)^2

16π

Now we subtract the area of the small circle from the area of the big circle to get the area of the shaded region.

64π-16π=48π

As a decimal: 48*3.14=150.72

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A random number from 1 to 5 is selected
shutvik [7]

Answer:

Relative frequency of selecting a 2 = 8/50 = 0.16

Relative frequency of selecting a 3 = 14/50 = 0.28

Step-by-step explanation:

When we have a given experiment with given outcomes (such that each time that we perform the experiment, one outcome happens) the relative frequency of a given outcome is the quotient between the number of times that that outcome happened, and the total number of times that the experiment was performed.

Here the experiment is selecting a random number between 1 and 5, and it is performed 50 times.

Out of these 50 times, the outcome "2" appears 8 times.

Then the relative frequency of selecting the number 2 is:

f(2) = 8/50 = 0.16

And of these 50 experiments, the outcome "3" appears 14 times.

Then the relative frequency of selecting the number 3 is:

f(3) = 14/50  = 0.28

7 0
3 years ago
2+2=22? is this the corect awnser
Ivan

Answer:

I think 2+2=4

Step-by-step explanation:

20+2=22 tho

3 0
2 years ago
Read 2 more answers
The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and stand
Llana [10]

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})

P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})

P(X > 1560) = P(Z > \dfrac{110}{220})

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean \mu_x = np = 52 × 0.3085 = 16.042

The standard deviation =  \sqrt {n \time p (1-p)}

The standard deviation = \sqrt {52 \times 0.3085 (1-0.3085)}

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})

Pr ( Y > 20) = P(Z >1 .338)

From z tables

P(Y > 20) \simeq 0.0903

7 0
3 years ago
Is −4[3(x−7)] and 6(14−2x) equiviant
Paraphin [41]

Answer:

Yes.

Step-by-step explanation:

Set the equations equal to each other to determine their equality.

-4[3(x - 7)] = 6(14 - 2x)

Distribute the 3 and the 6 into their respective parenthesis.

-4[3x - 21] = 84 - 12x

Distribute the -4 into the brackets.

-12x + 84

Rearrange the equations.

84 - 12x = 84 - 12x

Since the equations come out to be the same thing on both sides so that any value satisfies it, the equations are equivalent.

4 0
3 years ago
Dont undersrand this at allll...
Taya2010 [7]

Answer:

2.3 2 1/3

Step-by-step explanation: you add up all the bikes then divide them by 3 because that's the number of people

4 0
2 years ago
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