Answer:
Step-by-step explanation:
Considering the expression
Solution Steps:
as
so
join 
so
so
so
Therefore
Answer:
Proved,
P(A∪B)=0.72
Step-by-step explanation:
Sue travels by bus or walks when she visits the shops.
Probability( catch the bus to the shop ), P(A) = 0.4
Probability( catch the bus from the shop ), P(B) = 0.7
Both A and B are independent events.
Therefore,
P(A∩B) = 0.4×0.7
= 0.28
Probability Sue walks one way = 1 - P(A∩B)
= 1 - 0.28
= 0.72
Hence, the probability that Sue walks at one way is 0.72
We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.
You could use a method called cross products to solve this proportional equation. What you would do is multiply 3.4*7.7 =2.17*x
If multiplied correctly, your equation should be 26.18 = 2.17x
You are trying to get the variable alone on one side. To do this, you have to undo the multiplication of the coefficient. The opposite of multiplication is division, so you would divide both sides by 2.17.
If done correctly, your equation should now be x=<span>12.064516129
However, this can be rounded to x= approximately 12.066
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