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vichka [17]
2 years ago
6

What is the area of a circle if the radius is 13

Mathematics
1 answer:
Kisachek [45]2 years ago
7 0
A = pi * r^2.....r = radius and pi = 3.14

A = (3.14)(13^2)
A = 3.14(169)
A = 530.66

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A day care facility is open six days a week. The numbers of children who
Igoryamba

Answer:

23

Step-by-step explanation:

23 is the only number that is told the  MOST not least let me know if you need any more help ---shadow5555

5 0
3 years ago
"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo
loris [4]
The exponential distribution is:
\lambda e^{- \lambda x}
where \lambda = \frac{1}{mean}=\frac{1}{5}

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
P(A|B) = \frac{P(A and B)}{P(B)}
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}

Sub into conditional probability formula:

P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%
3 0
3 years ago
In a package of candy there is a total of 24 yellow pieces. For every 5 green pieces in the package, there are 8 yellow pieces.
IgorLugansk [536]

Answer:

15 green pieces.

Step-by-step explanation:

8x = 24

x = 3.

So you need 3 times the amount of green pieces for every yellow piece.

3 * 5 green pieces = 15 green pieces

7 0
2 years ago
How to expand 3(2t+1)
Vlada [557]
Hey there :)

3 ( 2t + 1 )
We use what is called the distributive property to get rid of the parenthesis

We multiply the term outside the parenthesis by all terms inside
3 ( 2t ) + 3 ( 1 )

6t + 3 → Your answer
8 0
3 years ago
If the customer rolls the dice and rents a second movie every Thursday for 20 consecutive weeks, what is the total amount that t
VMariaS [17]

Answer:

The expected amount for a duration of 20 weeks is $9.4

<em></em>

Step-by-step explanation:

Read attachment to understand the complete question

From the question, we have the following given parameters:

x = Amount paid for a second movie

E(x) = 0.47 --- Expected value of x

SD(x) = 0.15 --- Standard deviation of x

Required

Determine the total amount paid for a second movie for 20 weeks

The required implies that we calculate the expected value for a duration of 20 weeks.

i.e.

n = 20

If

E(x) = 0.47

Then:

E(nx) = n * E(x)

Substitute 20 for n

E(20x) = 20 * E(x)

Substitute 0.47 for E(x)

E(20x) = 20 * 0.47

E(20x) = 9.4

<em>Hence, the expected amount for a duration of 20 weeks is $9.4</em>

6 0
3 years ago
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