Answer:

And using this formula we have this:

Then we can conclude that the probability that that a person waits fewer than 11 minutes is approximately 0.917
Step-by-step explanation:
Let X the random variable of interest that a woman must wait for a cab"the amount of time in minutes " and we know that the distribution for this random variable is given by:

And we want to find the following probability:

And for this case we can use the cumulative distribution function given by:

And using this formula we have this:

Then we can conclude that the probability that that a person waits fewer than 11 minutes is approximately 0.917
Answer:
sin(x) = 5/13
cos(y) = 5/12
Therefore, sin(x) = cos(y)
Step-by-step explanation:
Trig ratios:

where
is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle
We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem 
(where a and b are the legs and c is the hypotenuse of a right triangle)

Now we can use the trig ratios:


Therefore, sin(x) = cos(y)
Answer: hot dog = $1.75
<u>Step-by-step explanation:</u>
Let h represent hot dogs and c represent bags of chips.
Customer 1: 4h + 2c = 9.00 → 3(4h + 2c = 9.00) → 12h + 6c = 27.00
Customer 2: 5h + 3c = 11.75 → -2(5h + 3c = 11.75) → <u>-10h - 6c </u>= <u>-23.50</u>
2h = 3.50
<u> ÷2 </u> <u> ÷2 </u>
h = 1.75
Answer:
4. 480.38m² 6. 3.35
Step-by-step explanation:
Assuming you're looking for the area of the shaded region, you must first be aware that the entire circle has a 360 angle.
From there. for no. 4:
You subtract 87 from 360 to find the angle of the major arc.
360-87=273
From there you must also know the formula to find the area of a sector which is:
(x/360)×pi×r²
In our case 273 is x and 14.2 is r so
(273/360)×pi×14.2²= 480.38
Do the same steps to find 6