A men and a women decided to meet at a certain location. If each of them independently arrives at a time uniformly between 12pm and 1pm, find the probability that the first to arrive has to wait longer than 10 mins?
Answers
Answer:
the probability that the first to arrive has to wait longer than 10 mins is 35/36.
Step-by-step explanation:
First you need to denote by X and Y the time past 12 noon that the man and woman arrive.
Then you have to compute P(X+10<Y)+P(Y+10<X), which by symmetry equals 2P(X+10<Y).
So basically you have to compute P(X+10<Y).
check the attachment for the rest of the step by step.
Answer should be 25/72
But since we want 2× of the above probability 2× 25/72 = 25/36finalanswer.
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Answers
The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is .
Given that,
A 30-ft. ladder makes an angle of 60 degrees with the horizontal.
We have to find,
The angle will a 35ft.ladder make the horizontal if it reaches the sample spot.
According to the question,
A 30-ft. ladder makes an angle of 60 degrees with the horizontal when it reaches a given spot on a wall.
h = 30sin60
Then, the angle will a 35-ft. ladder make the horizontal if it reaches the sample spot.
Hence, The angle will a 35-ft. ladder make the horizontal if it reaches the sample spot is
For more information about Trigonometry click the link given below.
sin60=h/30
h=30sin60
Now we can find the angle that the 35 ft ladder make when it touches the same spot.
sinα=h/35 and using h we found earlier...
sinα=(30sin60)/35
α=arcsin[(30sin60)/35]
α≈47.93 (α≈47º55'42")
Answers
Answer: Dimes= 20, Nickels= 15
Step-by-step explanation:
Since we are looking for the amount of coins, we can use system of equations to solve for the amount of coins.
Equation 1:
0.1x+0.05y=2.75
This equation comes from the total cost. x stands for dimes and y stands for nickels. 0.1 is the worth of a dime and 0.05 is the worth of a nickel.
Equation 2:
x=2y-10
This equation comes from 10 less than twice the number of nickels.
We can use substitution to find x and y.
0.1(2y-10)+0.05y=2.75
0.2y-1+0.05y=2.75
0.25y-1=2.75
0.25y=3.75
y=15
There are 15 nickels.
Now that we have y, we can plug it back into the equation to find x.
x=2(15)-10
x=30-10
x=20
There are 20 dimes.
Answers
Answer:
197/ 50 or in decimal 3.94
Answer
197/ 50 or in decimal 3.94
Step-by-step explanation:
Answers
Answers
Answer:
y<13/2
Step-by-step explanation:
5y + 4 < 3y + 17
5y-3y<-4+17
2y<13
y<13/2
Answer:
y<6.5
Step-by-step explanation:
5y+4<3y+17
Subtract 3 from both sides
2y+4<17
Subtractc4 from both sides
2y<13
Divide both sides by 2
y<6.5
Answers
Answer:
Step-by-step explanation:
the sum of the interior angles of a hexagon is 720 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees.
Now,
102+146+158+120+124+x=720
or,650+x=720
or,x=70
Therefore The value of X is 70 degree.