All categories

3 years ago

What is the approximate area of the shaded sector in the circle shown below?

Mathematics

1 answer:

kodGreya [7K]3 years ago

7 0

Answer:

297cm^2

Step-by-step explanation:

You might be interested in

Among 8 PS4s, four are good and four have defects. Unaware of this, a customer buys 5 PS4s.

astraxan [27]

Answer:

(a) The probability of exactly 2 defective PS4s among them is 0.3125.

(b) The probability that exactly 2 are defective given that at least 2 purchased PS4s are defective is 0.3846.

Step-by-step explanation:

Let X = number of defective PS4s.

It is provided that 4 PS4s of 8 are defective.

The probability of selecting a defective PS4 is:

$P(X)=p=\frac{4}{8}=0.50$

A customer bought n = 5 PS4s.

The random variable X follows a Binomial distribution with parameters n = 5 and p = 0.50.

The probability function of a Binomial distribution is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0, 1, 2, 3...$

(a)

Compute the probability of exactly 2 defective PS4s among them as follows:

$P(X=2)={5\choose 2}(0.50)^{2}(1-0.50)^{5-2}=10\times0.25\times0.125=0.3125$

Thus, the probability of exactly 2 defective PS4s among them is 0.3125.

(b)

Compute the probability that exactly 2 are defective given that at least 2 purchased PS4s are defective as follows:

$P(X=2|X\geq 2)=\frac{P(X=2\cap X\geq2)}{P(X\geq2)} =\frac{P(X=2)}{P(X\geq 2)}$

The value of P (X = 2) is 0.3125.

The value of P (X ≥ 2) is:

$P(X\geq 2)=1-P(X$

Then the value of P (X = 2 | X ≥ 2) is:

$P(X=2|X\geq 2)=\frac{P(X=2)}{P(X\geq 2)}=\frac{0.3125}{0.8125} =0.3846$

Thus, the probability that exactly 2 are defective given that at least 2 purchased PS4s are defective is 0.3846.

6 0

4 years ago

Read 2 more answers

Which of the following methods can be used to determine if a relation is a function?? Select all that apply.

CaHeK987 [17]

Answer:

B) Write out the relation in an x-y table and check that each x-value corresponds to the only one x - value

8 0

3 years ago

3 less than g is greater than 17

lawyer [7]

Step-by-step explanation:

what do you need to create ?

g - 3 > 17

g > 20

valid for all g in the interval (20, +infinity) with both ends excluded.

that is all I can see for your very limited problem description.

6 0

2 years ago

Which rule yields the dilation of the figure STUV centered at the origin?

Vsevolod [243]

I'm a little unsure about this one, but I believe that scale factor is the rule that yields dilution, as it specifies how the diluted figure is placed on the graphing plane.

5 0

3 years ago

T+8+3t identify the terms and the like terms

aleksandr82 [10.1K]

Answer:

The terms are:

$t,8,3t$

And the like terms are:

$t,3t$

8 0

3 years ago