Answer:
3 + (5 + 7) = (3 + 5) + 7
Associative property
(3){5(7)} = (3){7(5)}
Commutative Property
5 + 0 = 5
Identity Property
Step-by-step explanation:
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:
280
Step-by-step explanation:
30/100 = 84/x
84 x 100 = 8400
8400/30 = 280
7x12= 84
1+6=7
12=12
So the area is 84
Answer:
<u>The original number is 96.875</u>
Step-by-step explanation:
Let's find the original number using the Direct Rule of Three, this way:
Percentage Number
100 x
96 93
***********************************************
96x = 93 * 100
96x = 9,300
x = 9,300/96
x = 96.875
<u>The original number is 96.875</u>
