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1 year ago

QUESTION IS STATED IN PICTURE DONT FORGET TO ROUND TO THE NEAREST HUNDRETH. USE 3.14 pi IF NEEDED

Mathematics

1 answer:

Anna007 [38]1 year ago

5 0

The area of a circle is given by:

$A=\pi\cdot r^2$

Where r is the circle's radius. In this case we have a diameter of 8cm so the radius 4cm. Using pi=3.14 we have that the area of the circle is:

$A=3.14\cdot4^2=50.24$

So the area is 50.24 cm^2.

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Simply 2x + x + x + 2y x 3y x y

gayaneshka [121]

Answer:

$4x + 6y^{3} x^{2}$

Step-by-step explanation:

Simplify

7 0

2 years ago

A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield

Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

17 randomly selected pens

This means that $n = 17$

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is $P(X \leq 2)$ when $p = 0.1$ . So

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167$

$P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315$

$P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762$

0.762 = 76.2% probability that this shipment is accepted

8 0

4 years ago

Let f(x) =(x-3) find the domain of x

m_a_m_a [10]

Answer:

all real numbers

Step-by-step explanation:

The domain of a function is the set of values you can set as x to output an answer. Since you can subtract 3 from any real number, the domain of x-3 is all real numbers.

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3 years ago

If 25 gallons of gasoline has been used after driving 700 miles,how many gallons of gasoline would be used after driving 1,000 m

joja [24]

35 ( I’ve done this question before, this is the right answer ! )

4 0

3 years ago

after eating at the restaurant 3 people split the bill. Each person paid 27 dollars what was the total of the bill

almond37 [142]

Answer:

The total cost was 81 dollars.

Step-by-step explanation:

If each person had to pay 27 dollars and there was only 3 people, then multiply those 2 numbers together. Then you will get your answer.

7 0

4 years ago