1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erma4kov [3.2K]
3 years ago
7

A building contains two elevators, one fast and one slow. The average waiting time for the slow elevator is 3 min. and the avera

ge waiting time of the fast elevator is 1 min. If a passenger chooses the first elevator with probability 2 3 and the slow elevator with probability 1 3 , what is the expected waiting time?
Mathematics
1 answer:
cupoosta [38]3 years ago
8 0

Answer: The expected waiting time is 1\dfrac{2}{3}\ min

Step-by-step explanation:

Since we have given that

Average waiting time for slow elevator = 3 min

Average waiting time for fast elevator = 1 min

probability that a person choose the fast elevator = \dfrac{2}{3}

Probability that a person choose the slow elevator = \dfrac{1}{3}

So, the expected waiting time would be

E[x]=\sum xp(x)=3\times \dfrac{1}{3}+1\times \dfrac{2}{3}\\\\=1+\dfrac{2}{3}\\\\=\dfrac{3+2}{3}\\\\=\dfrac{5}{3}\\\\=1\dfrac{2}{3}\ min

Hence, the expected waiting time is 1\dfrac{2}{3}\ min

You might be interested in
Picture attachment below
alex41 [277]

Answer:

69.08

Step-by-step explanation:

round from 69.115

7 0
3 years ago
Elaine plans on saving $2,000 a year and expects to earn an annual rate of 8.8 percent. How much will she have in her account at
yKpoI14uk [10]

Answer:

$831,532.24

Step-by-step explanation:

The amount that will be in her account at ordinary annuity is derived using the formula:

A(n) = \dfrac{P((1 + r)^{n}-1)}{r}

Where:

Yearly Deposit,P=$2000

Annual rate,r=8.8%=0.088

Number of Years,n=43 years

A(43) = \dfrac{2000((1 + 0.088)^{43}-1)}{0.088}\\\dfrac{2000[(1 .088)^{43}-1]}{0.088}\\A(43)=\$831,532.24

At the end of 43 years, she would have <u>$831,532.24</u> in her account.

3 0
3 years ago
Find the measure of the complementary angle of the supplementary angle of the angle having measure 120 degree.
ikadub [295]

Answer: 60 degrees!

Step-by-step explanation: So, a supplementary angle is an angle of 180 degrees. I'm not sure if you used the incorrect terminology because a complementary angle is an angle that adds up to 90 degrees, which would make this question unsolvable! However, the correct word you are looking for would be the supplement of the angle 120. Get it, supplementary, supplement. Anyways, the supplement is essentially an angle that when added to another angle it will equal 180! In this case, the other angle is 120. We can model this with an equation.

180 - 120 = x

Now before we get confused let's make sure we understand the equation. Our total angleage will equal 180 degrees, so we start off with 180, we then take the measure of the angle we already know which is 120, and subtract it, because if you have 1/4 of a pie somebody already ate the other 3/4, but at one point it was 4/4 or a whole pie, so in this situation, we are taking away 120 degrees of the whole pie, or 180 degrees. This will give us a value of x, or the supplement angle of 120 degrees, which might also be known as the other 1/4 of our pie. When we solve the equation 180-120 we are given the answer 60 degrees! This is what we would call the supplement to our angle 120, or the angle that when added to it, will make it a full 180 degrees. Now, these two angles can also be referred to as supplementary in the context of talking about the two, where you might say 120 and 60 are supplementary angles.

Further not, if you are talking about finding the complement of an angle, or an angle that when added to another angle will give you 90 degrees, the process is exactly the same except the equation would be modeled

90 - y = x

in this case, y is the angle we are given, let's say it's 20, and x is our complement or the angle that when added to 20 will make it 90! The answer to this one is 70 but hopefully, you understand by now!

6 0
3 years ago
Please help me with this
LuckyWell [14K]

Answer:

I think -1 cuz 2+1--1 so yh I guess

4 0
2 years ago
Please does anyone know why brainly isn’t letting me watch ads anymore
rosijanka [135]
I had the same problem too! It means that you’ve already used up “ all the ads “ either try again tomorrow or create a new Brainly account !
6 0
3 years ago
Other questions:
  • Terrance picked 115.2 pounds of apples on Monday.
    7·1 answer
  • Rewrite 13 over 7 as a mixed number
    13·2 answers
  • Which of the following expressions match the translation “nineteen more than the product of 4 and a number”? 4n + 19 4(n + 19) 1
    10·2 answers
  • What times 3 equals 160?
    15·1 answer
  • Can someone help me with this question please?
    6·1 answer
  • Pranav bought 6 packages for $18 how many packages can she buy if she has 6$
    12·2 answers
  • 5y-30=-5y+30 and also can you show the steps :}
    14·1 answer
  • Solve the inequality and express your answer in interval notation. X^2-6x+7&lt;0
    8·1 answer
  • Can someone please help me with this math question please. Please
    8·1 answer
  • 7f=49 i need help fasttttttttt
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!