Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
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<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.
<span>-6x-3y=18
Substitute 0 for y
-6x-3(0)=18
Multply -3 by 0
-6x=18
Divide both sides by -6 so that the only thing on the left side is the variable x.
Final Answer: x= -3</span>
Answer:
Option E
Step-by-step explanation:
Explicit formula of a geometric sequence is,
Here, 
First term
common ratio
number of terms
If, 
and 
Common ratio of the sequence 
By substituting these values in the formula,
Therefore, Option E is the answer.
a. "Chocolate" and "Adults" (whatever those mean) will be independent as long as
"Chocolate" has the marginal distribution given by the second column, with a total probability of
. Similarly, "Adults" has the marginal distribution described by the third row, so that
. Then
Meanwhile, the joint probability of "Chocolate" and "Adults" is given by the cell in the corresponding row/column, with
.
The probabilities match, so these events are indeed independent.
Parts (b) and (c) are checked similarly.
b. Yes;
c. Yes;
Answer:
a.
Step-by-step explanation:
