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cupoosta [38]
2 years ago
6

Find each product !!

Mathematics
1 answer:
Ludmilka [50]2 years ago
8 0
D c c B Last one is unclear
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Buses arrive at a specified stop at 15-minute intervals starting at 7 A.M. That is, they arrive at 7, 7: 15, 7: 30, 7: 45, and s
svp [43]

Answer:

The answers are a) 1/3 and b) 1/3

Step-by-step explanation:

we will consider t to be the arrival time variable in minutes. We will have it run from 0 min to 30 min omitting the 7 hours , which won't change the results since the PDF we are about to calculate is a constant.

So the PDF of the arrival time is a constant and the since the area under this PDF distribution should be equal to 1 so, Let the height of the constant distribution equal to c, so c*30 (which is equal to the total probability) would be the area under the distribution, but this area should be equal to 1, So that gives us c=1/30 which is the value of the constant PDF for all corresponding arrival times.

PDF = 1/30  

part a) of the question asks for the probability that the passengers wait less than 5 minute. The passengers would have to wait for the bus 5 min or late if they arrive between the times (10 - 15 )min and (25  - 30) min. So we will have to integrate the PDF corresponding to these times and then we will will just have to add the probabilities calculated as give below,

P(10

P(10

Now part b) of the question asks for the probability that the passenger waits for more than 10 minutes. Which can be calculated by noting that that can only happen if the passenger arrives between the times (0 - 5) min and (15 - 20) min. So we will have to integrate the PDF corresponding to these times and then we will will just have to add the probabilities calculated as give below,

P(0

The answer to part b) is 1/3.

7 0
3 years ago
What is the value of the expression 5ab - 2c, where a = 2, b = 3 and c=0?
Len [333]

Answer:

30

Step-by-step explanation:

5*2*3-2*0 ( when we multiply any number with zero then the result is also zero)

30-0

30

5 0
3 years ago
How long does a horse take to run a distance of 6 miles at 16 miles/hour
Xelga [282]
It would take that horse a little over 20 minutes.
3 0
2 years ago
Read 2 more answers
What is the solution of the system?
spin [16.1K]
The Answer is b: x = 18, y = -20

Proof:

Solve the following system:
{4 x + 3 y = 12 | (equation 1)
{7 x + 5 y = 26 | (equation 2)

Swap equation 1 with equation 2:
{7 x + 5 y = 26 | (equation 1)
{4 x + 3 y = 12 | (equation 2)

Subtract 4/7 × (equation 1) from equation 2:
{7 x + 5 y = 26 | (equation 1)
{0 x+y/7 = (-20)/7 | (equation 2)

Multiply equation 2 by 7:
{7 x + 5 y = 26 | (equation 1)
{0 x+y = -20 | (equation 2)

Subtract 5 × (equation 2) from equation 1:
{7 x+0 y = 126 | (equation 1)
{0 x+y = -20 | (equation 2)

Divide equation 1 by 7:
{x+0 y = 18 | (equation 1)
{0 x+y = -20 | (equation 2)

Collect results:

Answer: {x = 18, y = -20
6 0
3 years ago
Find the value of x for which the lines a and b are parallel. answer : 23 20 2 19
Afina-wow [57]

Answer:

x=19

Step-by-step explanation:

These two angles are alternate interior angles and alternate interior angles are equal when the lines are parallel

148 = 7x+15

Subtract 15 from each side

148-15 =7x+15-15

133 = 7x

Divide by 7

133/7 = 7x/7

19 =x

4 0
3 years ago
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