The answer is B, 1/3+1/8
—Evidence—
•] I added all of the options and got an answer of 1.35 to 1.5 and one of the choices had a answer of 0.4583 which was option B.
Hello from MrBillDoesMath!
Answer: 9
Discussion
By the Pythagorean theorem, the length of the third side (the hypotenuse) in the triangle with sides 4 and 6 is sqrt ( 4^2 + 6^2) = sqrt (52)
Applying Pythagoras to the left most triangle (sides, x and 6) gives:
x^2 + 6^2 = m^2 (I am calling the unknown side "m)
Finally, in the big right triangle (the one containing the two right triangles)
(x + 4) ^2 = (sqrt(52)) ^2 + m^2
OK! Subtract the first equation from the second:
(x+4)^2 = 52 + m^2
x^2 + 36 = m^2
-----------------------------------------------------
( x+4)^2 - x^2 - 36 = 52 + (m^2 - m^2) =>
x^2 + 8x + 16 - x^2 -36 = 52 =>
x^2 - x^2 + 8x + 16 -36 = 52 =>
0 + 8x - 20 = 52 =>
8x = 72 =>
x = 9
Thank you,
MrB
When the polynomial has more than one variable you have to sum the exponents of the variables for every monomial. The largest sum is the order of the polynomial.
Here:
momomial sum of the exponents
8x^3y^2 3 + 2 = 5
-10xy 1 + 1 = 2
4x^2y^2 2 + 2 = 4
Then the degree is 5.
The correct answer is -5/7. Hope this helps.
Answer: 0.5
Step-by-step explanation:
Given : Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati to Tampa.
i.e. Flight time = 2(60) +5= 125 minutes [∵ 1 hour = 60 minutes]
Actual flight times are uniformly distributed between 2 hours and 2 hours, 20 minutes.
i.e. In minutes the flight times are between 120 minutes and 140 minutes.
Let x be a uniformly distributed variable in [120 minutes, 140 minutes] that represents the flight time.
Since the probability density function for x uniformly distributed in [a,b] is 
⇒ Probability density function for flight time : 
5 minutes late than usual time = Flight time+ 5 = 125+5 = 130 minutes
Now , the probability that the flight will be no more than 5 minutes late will be :-
![\int^{130}_{120} \dfrac{1}{20}\ dx\\\\=\dfrac{1}{20}[x]^{130}_{120}\\\\= \dfrac{130-120}{20}\\\\=\dfrac{1}{2}=0.5](https://tex.z-dn.net/?f=%5Cint%5E%7B130%7D_%7B120%7D%20%5Cdfrac%7B1%7D%7B20%7D%5C%20dx%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B20%7D%5Bx%5D%5E%7B130%7D_%7B120%7D%5C%5C%5C%5C%3D%20%5Cdfrac%7B130-120%7D%7B20%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B2%7D%3D0.5)
Hence, the probability that the flight will be no more than 5 minutes late is 0.5.
