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3 years ago

Math Question (10 Points):

Mathematics

2 answers:

andrew-mc [135]3 years ago

8 0

Answer: Letter A.

Hope this helps! <3

jok3333 [9.3K]3 years ago

3 0

Answer:

Step-by-step explanation:

Becuase It expands the (2+4)8=2*8+8*4=6*8=48

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Accuracy in taking orders at a drive-through window is important for fast-food chains. Periodically, QSR Magazine publishes "The

pav-90 [236]

Answer:

a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.

b) 0.0009 = 0.09% probability that none of the three will be filled correctly

c) 0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d) 0.9991 = 99.91% probability that at least one of the three will be filled correctly

e) 0.0082 = 0.82% probability that only your order will be filled correctly

Step-by-step explanation:

For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. This means that 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.

The percentage of orders filled correctly at Burger King was approximately 90.5%.

This means that $p = 0.905$

You and 2 friends:

So 3 people in total, which means that $n = 3$

a. What is the probability that all the three orders will be filled correctly?

This is P(X = 3).

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

$P(X = 3) = C_{3,3}.(0.905)^{3}.(0.095)^{0} = 0.7412$

0.7412 = 74.12% probability that all the three orders will be filled correctly.

b. What is the probability that none of the three will be filled correctly?

This is P(X = 0).

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

$P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009$

0.0009 = 0.09% probability that none of the three will be filled correctly.

c. What is the probability that one of the three will be filled correctly?

This is P(X = 1).

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

$P(X = 1) = C_{3,1}.(0.905)^{1}.(0.095)^{2} = 0.0245$

0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d. What is the probability that at least one of the three will be filled correctly?

This is

$P(X \geq 1) = 1 - P(X = 0)$

With what we found in b:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0009 = 0.9991$

0.9991 = 99.91% probability that at least one of the three will be filled correctly.

e. What is the probability that only your order will be filled correctly?

Yours correctly with 90.5% probability, the other 2 wrong, each with 9.5% probability. So

$p = 0.905*0.095*0.095 = 0.0082$

0.0082 = 0.82% probability that only your order will be filled correctly

7 0

3 years ago

2cos2ysin2y<br>simplify

murzikaleks [220]

Reorder 2 cos (2y) and sin (2y)

= sin (2y)(2 cos(2y))

Remove parenthesis

= sin (2y) * 2 cos (2y)

Reorder sin (2y) and 2

= 2 * sin (2y) cos (2y)

Apply the sine double-angle identity

= sin (2(2y))

Now multiply 2 by 2

8 0

3 years ago

Divide 3x2 − 11x − 4 by x − 4

Nuetrik [128]

Answer:Factor by grouping.

Tap for more steps...

(

−

)

(

)

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Reduce the expression by cancelling the common factors.

Tap for more steps...

Step-by-step explanation:

6 0

3 years ago

Find the space inside a rectangle with a width of 8 and a length of 15.

Pie

Answer:

120

Step-by-step explanation:

A=LxH

So 15x8=120

4 0

3 years ago

What’s the correct answer

tamaranim1 [39]

The correct answer might be A

5 0

3 years ago