Answer: 0.317
Step-by-step explanation:
Let A be the event that the selected household is prosperous and B the event that it is educated.
Given : P(A)=0.138, P(B)=0.261
P(A and B)=0.082
We know that for any events M and N ,
Thus , 
Hence, the probability P(A or B) that the household selected is either prosperous or educated = 0.317
The correct answer is: [D]: "<span>supplementary angles, 180° " .
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<u>Note:</u>
</span><span>
Choices:
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[B]: "complementary angles, 180° " ; and:
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[C]: "supplementary angles, 90° " ;
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can automatically be ruled out ; since by definition:
</span>→ Complementary angles always add up to 90° — NOT 180° ;
and: supplementary angles always add up to 180° — NOT 90° .
<span>_____________________________________________________
Note: "Adjacent angles" refer to "supplementary angles" ; which, by definition add up to 180</span>° . Futhermore, looking at the image provided,
we see that ∠1 and ∠2 are, in fact "adjacent" and that ∠1 and ∠2 comprise the entire portion of a "straight line" (being intersected by a transversal)" ;
and as such; ∠1 and ∠2 are supplementary angles—
and as such—add up to 180° .
(which rules out: Choice [A]: "complementary <span>angles, 90°) ;
</span>→ <span>and demonstrates the correct answer:
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Answer choice: [D]: "</span><span>supplementary angles, 180°</span><span> " .
</span> <span>______________________________________________________
</span>
Answer:
Step-by-step explanation:
The given H(x) = √(2 - 2x^2) can be decomposed as follows: 2 - 2x^2 is g(x), the input to f(x), which in turn is f(x) = √x.
Thus, f(x) = √x is the first function. Here the input is simply x.
g(x) = 2 - 2x^2 is the second function. We use this function now as the input to f(x). These operations create the new function H(x) = (f°g)(x) = √(2 - 2x^2).
In summary:
f(x) = √x
g(x) = 2 - 2x^2
Answer:
what number do you want to "Multiply by 3, then subtract 4."
Example:
(12 x 3) - 4
36 - 4 = 32
Wall height^2 = 10^2 - 3^2
wall height^2 = 91
wall height =
<span>
<span>
<span>
9.5393920142
</span>
</span>
</span>
=
<span>
<span>
<span>
9.5</span></span></span>4 feet (rounded)
