Answer:
you want to find angle PMB to find PMU
180-21-35= 124
so now, you subtract 180-124 to find PMU
180-124= 56
Now, subtract 56 and 62 from 180 to find angle UPM
180-56-62= 62
m< PMU = 56
m<UPM = 62
ANSWER
0.756
EXPLANATION
Let x represent number of correct answers.
We can find
which leads us to
which uses the compliment of 
to find the probability of getting at least 2 questions correct.
Note that since 
and 
are mutually exclusive, we have
Then 
as we have 
to answer the questions incorrectly divided by the total 
to answer the questions.
Exactly 1 answer correct: 
Therefore
![\begin{aligned} P(x \ge 2) &= 1 - P(x = 0\text{ or }x =1) \\ &=1 - \big[P(x=0) + P(x=1)\big] \\ &=1 - \left[ (3/4)^{10} + {}_{10}C_1 \cdot (3/4)^9(1/4)^1 \right] \\ &\approx 0.756 \end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%0AP%28x%20%5Cge%202%29%20%26%3D%201%20-%20P%28x%20%3D%200%5Ctext%7B%20or%20%7Dx%20%3D1%29%20%5C%5C%0A%26%3D1%20-%20%5Cbig%5BP%28x%3D0%29%20%2B%20P%28x%3D1%29%5Cbig%5D%20%5C%5C%0A%26%3D1%20-%20%5Cleft%5B%20%283%2F4%29%5E%7B10%7D%20%2B%20%7B%7D_%7B10%7DC_1%20%5Ccdot%20%283%2F4%29%5E9%281%2F4%29%5E1%20%5Cright%5D%20%5C%5C%0A%26%5Capprox%200.756%0A%5Cend%7Baligned%7D%20)
Answer:
Step-by-step explanation:
3/7 divided by 10 houses= 0.042 acres per house
-40-8=12x
-48=12x
-48/12=x
-4=x
Answer:
45000000000
Step-by-step explanation:
when multiplying exponents, you multiply base numbers with no exponent (9 and five in this case) and numbers with exponents (10 in this case). 9 X 5 is 45 and 10 to the power of 7 times 10 to the power of 2 is 10 to the power of 9 or 1000000000. 45 X 1000000000 is 45000000000.
