DONT REMOVE MY QUESTIONS BRAINLY

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper

Korvikt [17]

Answer:

90.67% probability that John finds less than 7 golden sheets of paper

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it contains a golden sheet of paper, or it does not. The probability of a container containing a golden sheet of paper is independent of other containers. 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.

At Munder Difflin Paper Company, the manager Mitchell Short randomly places golden sheets of paper inside of 30% of their paper containers.

This means that $p = 0.3$

14 of these containers of paper.

This means that $n = 14$

What is the probability that John finds less than 7 golden sheets of paper?

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

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

$P(X = 0) = C_{14,0}.(0.3)^{0}.(0.7)^{14} = 0.0068$

$P(X = 1) = C_{14,1}.(0.3)^{1}.(0.7)^{13} = 0.0407$

$P(X = 2) = C_{14,2}.(0.3)^{2}.(0.7)^{12} = 0.1134$

$P(X = 3) = C_{14,3}.(0.3)^{3}.(0.7)^{11} = 0.1943$

$P(X = 4) = C_{14,4}.(0.3)^{4}.(0.7)^{10} = 0.2290$

$P(X = 5) = C_{14,5}.(0.3)^{5}.(0.7)^{9} = 0.1963$

$P(X = 6) = C_{14,6}.(0.3)^{6}.(0.7)^{8} = 0.1262$

$P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0068 + 0.0407 + 0.1134 + 0.1943 + 0.2290 + 0.1963 + 0.1262 = 0.9067$

90.67% probability that John finds less than 7 golden sheets of paper

7 0

3 years ago

HELP ME PLEASE ASAP!!!!

Naddika [18.5K]

Answer:

A = 22.62

Step-by-step explanation:

Remember law of tan

tan = opposite/adjacent

tan (A) = 5/12

A= tan inverse ( 5/12)

A = 22.62

6 0

3 years ago

3x=10 how do you solve this, i hate math and dont know what to do. help?

blagie [28]

Divide 3 on both sides
x=3.33

6 0

3 years ago

Read 2 more answers

Can someone please help me on this!!

Svetlanka [38]

Answer:

read.....

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Please explain how to divide 1,344 by 24 using the box method? I know the answer is 56, but I am not sure how to get this answer

Maslowich

Answer:

Step-by-step explanation:

Given that divisor is 24 and dividend is 1344 and we are to use box method.

Long division is often considered one of the most challenging topics to teach. Luckily, there are strategies that we can teach to make multi-digit division easier to understand and perform.

The Box Method, or the Area Model, is one of these strategies. It is a mental math based approach that will enhance number sense understanding. Students solve the equation by subtracting multiples until they get down to 0, or as close to 0 as possible.

For example this method is shown below:

I step is to find in multiples of 10 or 100 the greatest divisor

24) 1344( 500

1200

--------

144

Step 2: Next step is to divide 144 by 24

24)144( 6

144

----

0

Thus we find that quotient is quotient in I step + quotient in 2nd step

= 50+6 = 56

and remainder is zero.

7 0

4 years ago