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Komok [63]
3 years ago
13

7th grade math , not sure if I set this up correctly!

Mathematics
1 answer:
mihalych1998 [28]3 years ago
7 0

Answer:

What you did is correct!

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A machine making computer chips isn't working correctly, and 5% of the computer chips it makes are defective. If an inspector ch
Rainbow [258]

Answer:

0.25% probability that they are both defective

Step-by-step explanation:

For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. 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.

5% of the computer chips it makes are defective.

This means that p = 0.05

If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both defective?

This is P(X = 2) when n = 2. So

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

P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025

0.25% probability that they are both defective

4 0
3 years ago
How many times does 3 go into 36
evablogger [386]
36 divided by 3 = 12

3 goes into 36 twelve times.
8 0
4 years ago
Read 2 more answers
A certain store sells small, medium and large toy trucks in each of the colors red blue green and yellow. the store has an equal
tangare [24]
There is a 1/2 chance that he will get at least one of the two features.

There are 3 x 4 = 12 possibilities. There are all 4 colors of each 3 sizes.

All 4 of the medium trucks have one of the features.

For the other 2 sizes, only the red truck will have one of the features.

There are 4 + 2 = 6 possibilities out of 12 for a chance of 6/12 or 1/2.
3 0
4 years ago
Read 2 more answers
Solving radical equations<br>check for extraneous solutions<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%20%2B%2030%7D%2
Ksenya-84 [330]
I don’t know this question
5 0
3 years ago
Read 2 more answers
Find the angle to the nearest degree. *<br> sin-10.5166<br> 1<br> 31.1°<br> 58.9°<br> 0.5°
Mice21 [21]

Given:

The given inverse trigonometric term is:

\sin^{-1}(0.5166)

To find:

The value given inverse trigonometric term.

Solution:

We have,

\sin^{-1}(0.5166)

Using the calculator, we get

\sin^{-1}(0.5166)=31.10446

\sin^{-1}(0.5166)\approx 31.1^{\circ}

The value of given term is 31.1°.

Therefore, the correct option is B.

6 0
3 years ago
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