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2 years ago

HELP QUICKK Which equation represents the number of test questions in the problem

Mathematics

1 answer:

wel2 years ago

6 0

Answer:D

Step-by-step explanation:m represents the multiple choice questions, s represents short answer questions, and 15 represents the number of questions

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Approximately 5% of calculators coming out of the production lines have a defect. Fifty calculators are randomly selected from t

baherus [9]

Answer:

0.2611 = 26.11% probability that exactly 2 calculators are defective.

Step-by-step explanation:

For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used 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 calculators coming out of the production lines have a defect.

This means that $p = 0.05$

Fifty calculators are randomly selected from the production line and tested for defects.

This means that $n = 50$

What is the probability that exactly 2 calculators are defective?

This is P(X = 2). So

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

$P(X = 2) = C_{50,2}.(0.05)^{2}.(0.95)^{48} = 0.2611$

0.2611 = 26.11% probability that exactly 2 calculators are defective.

3 0

2 years ago

find x if the distance between points L and M is 15 and point M is located in the first quadrant. L=(-6,2) M=(x,2)

aivan3 [116]

Answer:

Therefore,

$x = 9$

Step-by-step explanation:

Given:

Let,

point L( x₁ , y₁) ≡ ( -6 , 2)

point M( x₂ , y₂ )≡ (x , 2)

l(AB) = 15 units (distance between points L and M)

To Find:

x = ?

Solution:

Distance formula between Two points is given as

$l(LM)^{2} = (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}$

Substituting the values we get

$15^{2}=(x--6)^{2}+(2-2)^{2}\\\\225=(x+6)^{2}$

Square Rooting we get

$(x+6)=\pm \sqrt{225}=\pm 15\\\\x+6 = 15\ or\ x+6 = -15\\\\x= 9\ or\ x = -21$

As point M is located in the first quadrant

x coordinate and y coordinate are positive

So x = -21 DISCARDED

Hence,

$x = 9$

Therefore,

$x = 9$

3 0

2 years ago

DA−2qA=B^3<br> Solve for A

a_sh-v [17]

Answer:

$a=\frac{b^{3} }{d-2q}$

Step-by-step explanation:

i think

8 0

2 years ago

A marker is randomly selected from a drawer that contains 20 green, 44 orange, and 30 blue markers.

Len [333]

If you take the amount of green markers and divide them by the total, you come up with 0.21
If you do likewise with the others, you respectively come up with 0.47 and 0.32.

6 0

2 years ago

Read 2 more answers

Simplify: −6( 1 4 x - 2 3 x + 5 6 x)

Kisachek [45]

Answer:

= - 282x

Step-by-step explanation:

- 6(14x - 23x + 56x)

= - 84x + 138x - 336x

= 54x - 336x

= - 282x