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
1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :
i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.
ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:
a^{2}=b ^{2}+c ^{2}-2bc(cosA)
2.
20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA) 400=81+169-234(cosA) 150=-234(cosA) cosA=150/-234= -0.641
3. m(A) = Arccos(-0.641)≈130°,
4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
Answer:
x=90º
Step-by-step explanation:
x=60+30
x=90
Ryan will need 6 pounds of meatloaf. If you want to know how I got my answer, my work along with the answer will be shown below:
3/4 pound=1 small meatloaf
*Multiply 3/4 pound by 8 because he wants to make 8 small meat loaves, or just add 3/4+3/4+3/4+3/4+3/4+3/4+3/4+3/4*.
#1 way (recommended): 3/4*8/1=24/4....=6 pounds
#2 way: 3/4+3/4=6/4+3/4=9/4+3/4=12/4+3/4=15/4+3/4=18/4+3/4=21/4+3/4=24/4=6 pounds
I hope this helps! Let me know if you still need help!
Answer:
40%
Step-by-step explanation:
Original price = x
Sale = 20% off
20% / 100 = 0.2 to convert from a percent to a decimal
Sale = x - 20% of x = x - 0.2x = 0.8x
Sale price = y = 0.8x
Reduction of sale prices = 25% = 0.25
Reduction = y - 25% of y = y - 0.25y = 0.75y
End price in terms of original price (x):
0.75y = 0.75(0.8)x
= 0.6x
End price = 0.6 or 60% of original price, coming out to a 100-60 = 40% overall percentage reduction