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2 years ago

What is the length of angle EF in the right triangle below?

Mathematics

1 answer:

worty [1.4K]2 years ago

3 0

Answer:

theres no picture or anything

Step-by-step explanation:

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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

3 years ago

What is m ZDFC? O45° O 80° O 125° O 135

Law Incorporation [45]

I believe it’s 80 hope it helps

4 0

2 years ago

Read 2 more answers

Math help please!!!! i will mark brainliest

finlep [7]

Answer:

Step-by-step explanation:

A. 221 x 5 = 1,105

225 + 245 + 222 +230 = 922

1,105 - 922 = 183

B. 225 is the median

C. 229 is Isaac's score for the sixth game

Hope this helps :)

7 0

2 years ago

Cindy's age, x, is 3 times her age 6 years ago which equation represents the statement x=3(x-6) or x=3-6x or x=3x-6 or x=3x+6

WINSTONCH [101]

Let's denote Cindy's age which is unknown with X
We know that Cindy's age is 3 times her age 6 years ago.
6 years ago Cindy's age was the present age (X) - 6 : X-6
The fact that the present age is 3 times her age 6 year ago can be written as:
3*(X-6)
So, finally:
X=3*(X-6)

8 0

3 years ago

Read 2 more answers

If a 9-foot flagpole casts a 6-foot shadow, how tall is the woman who casts a 4-foot shadow?

FinnZ [79.3K]

It is A because if you subtract 9 and 6 you get 3 and then you add the 4 and get 7

6 0

2 years ago