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
kozerog [31]
3 years ago
9

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 90 miles per

hour. The westbound train travels at 100 miles per hour. How long will it take for the two trains to be 418 miles apart?
Mathematics
2 answers:
Fed [463]3 years ago
6 0

Answer:

2hrs and 36 mins that is the answer

MAVERICK [17]3 years ago
6 0

Answer:

2 hrs 12 mins

Step-by-step explanation:

both trains are effectively getting 190 miles away from one another per hour. If you divide 418 miles by the 190 miles per hour, you get 2.2 hours.

You might be interested in
Plsssss this is the last question i need help sos
jenyasd209 [6]

Answer:

ASA

Hope I helped<3

8 0
3 years ago
What is 1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1x1
Reptile [31]

Answer:

1

Step-by-step explanation:

Because each is just being multiplied by the same number.

7 0
3 years ago
Read 2 more answers
A university found that of its students withdraw without completing the introductory statistics course. Assume that students reg
polet [3.4K]

Answer:

A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.

a. Compute the probability that 2 or fewer will withdraw (to 4 decimals).

= 0.0355

b. Compute the probability that exactly 4 will withdraw (to 4 decimals).

= 0.1304

c. Compute the probability that more than 3 will withdraw (to 4 decimals).

= 0.8929

d. Compute the expected number of withdrawals.

= 6

Step-by-step explanation:

This is a binomial problem and the formula for binomial is:

P(X = x) = nCx p^{x} q^{n - x}

a) Compute the probability that 2 or fewer will withdraw

First we need to determine, given 2 students from the 20. Which is the probability of those 2 to withdraw and all others to complete the course. This is given by:

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 2) = 20C2(0.3)^2(0.7)^{18}\\P(X = 2) =190 * 0.09 * 0.001628413597\\P(X = 2) = 0.027845872524

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 1) = 20C1(0.3)^1(0.7)^{19}\\P(X = 1) =20 * 0.3 * 0.001139889518\\P(X = 1) = 0.006839337111

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 0) = 20C0(0.3)^0(0.7)^{20}\\P(X = 0) =1 * 1 * 0.000797922662\\P(X = 0) = 0.000797922662

Finally, the probability that 2 or fewer students will withdraw is

P(X = 2) + P(X = 1) + P(X = 0) \\= 0.027845872524 + 0.006839337111 + 0.000797922662\\= 0.035483132297\\= 0.0355

b) Compute the probability that exactly 4 will withdraw.

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 4) = 20C4(0.3)^4(0.7)^{16}\\P(X = 4) = 4845 * 0.0081 * 0.003323293056\\P(X = 4) = 0.130420974373\\P(X = 4) = 0.1304

c) Compute the probability that more than 3 will withdraw

First we will compute the probability that exactly 3 students withdraw, which is given by

P(X = x) = nCx p^{x} q^{n - x}\\P(X = 3) = 20C3(0.3)^3(0.7)^{17}\\P(X = 3) = 1140 * 0.027 * 0.002326305139\\P(X = 3) = 0.071603672205\\P(X = 3) = 0.0716

Then, using a) we have that the probability that 3 or fewer students withdraw is 0.0355+0.0716=0.1071. Therefore the probability that more than 3 will withdraw is 1 - 0.1071=0.8929

d) Compute the expected number of withdrawals.

E(X) = 3/10 * 20 = 6

Expected number of withdrawals is the 30% of 20 which is 6.

5 0
3 years ago
Mrs. Miller wants to estimate the widths the steps in front of her house . Best bench mark for her to use is ?
Arisa [49]
The best bench mark to use is an inch. She should use an inch because centimeters are too small and the steps might be less than a foot.
7 0
3 years ago
Complete the steps to factor 2x^2+6x+5x+15 by grouping
worty [1.4K]
(2x^2 +6x) + (5x +15)
GCF for the 1st group is 2x and the 2nd is 5
2x(x +3) + 5(x +3)

(2x +5) (x+3)
5 0
3 years ago
Other questions:
  • MATH HELP WILL GIVE BRAINLIEST
    7·2 answers
  • Please help. I’ll mark you as brainliest if correct!
    14·1 answer
  • John n his family went out to eat their favorite restaurant the bill for the food was $65 and they left a 20%tip for the server
    11·1 answer
  • What expression is equivalent to (2x-1)(x-3)?
    12·1 answer
  • Help I have 10 minutes left <br> 55<br> 15x + 5<br> 8<br> 09<br> 0.7<br> O 3,3
    12·1 answer
  • Plss help. i’m not sure how to do this so please help. i’d appreciate it
    10·1 answer
  • -5 = 1/3(-1-w)<br><br> pls help! i will give brainly
    14·2 answers
  • There is a ratio of 5 boys to 11 girls in our class. What is the total number of students if there are 6 boys?​
    7·1 answer
  • Convert this quetion into vulgar fraction​
    14·2 answers
  • I have the answer as 1728 but it’s saying it’s wrong
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!