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Sphinxa [80]
2 years ago
12

Two planes are heading toward each other. One plane is traveling at 450 mph, and the other plane is traveling at 375 mph. What i

s the rate at which the distance between the planes is changing
Mathematics
1 answer:
gavmur [86]2 years ago
3 0

Answer:

the rate at which the distance between the planes is changing is 825 each hour

Step-by-step explanation:

The computation of the rate at which the distance between the planes is changing is shown below

= Travelling one plane + travelling another plane

= 450 mph + 375 mph

= 825 mi each hour

Therefore the rate at which the distance between the planes is changing is 825  each hour

We simply applied the above formula so that the correct value could come

And, the same is to be considered

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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
The three perpendicular bisectors of a triangle intersect at the_____.
lubasha [3.4K]

Answer:

centroid

Step-by-step explanation:

Definition of a centroid

4 0
3 years ago
The two-way table shows the number of students in a school who have rabbits and/or birds as pets:
kiruha [24]
It's 3 (total number of have rabbits that's 43 - Have rabbits which is 40) 43-40= 3

3 0
2 years ago
Read 2 more answers
Ratios equivalent to 1/2
Blizzard [7]
The answer is 1:2. all you have to do is add the dots for example 4/5 would be 4:5
7 0
2 years ago
PLEASE PLEASE I NEED HELP
mrs_skeptik [129]

Answer:

12:42 pm

Step-by-step explanation:

that is my guess to be honest.

looking at the time intervals and the increase in the battery lvls it shows in 10- 10 minutes intervals the battery lvl increase at 9-8 percent and at the 20 minute time it increased by 20 percent so just add the time.

6 0
3 years ago
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