Answer:
100
Step-by-step explanation:
because it is directly proportional so 4 times ten is 40 and 10 times 10 is 100
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<h3>Answer:</h3>
- g(x) = -18x +8
- y-intercept: (0, 8)
- domain: (-∞, ∞)
- range: (-∞, ∞)
<h3>Explanation:</h3>
Reflecting a function across the x-axis changes every y-value to its opposite. That is, f(x) = 18x becomes g(x) = -18x.
Shifting a function upward 8 units adds 8 to every y-value. That is, g(x) becomes g(x)+8.
The combined effect of these two transformations on f(x) is to give you ...
... g(x) = -18x + 8
You recognize this as the equation of a line in slope-intercept form, with the y-intercept being +8. That is, g(0) = -18·0 +8 = 8. The y-intercept is ...
... (0, 8)
The domain and range of any linear equation is "all real numbers," that is, ...
... (-∞, ∞).
Answer:
P(A U B)=P(A)+P(B)
Step-by-step explanation:
Reading the options that we have for the answer, one of them (the first one) is the definition of being independent. A and B are independent if and only if P(A ∩ B)=P(A)*P(B).
So the first one IS necessary true for independent events and with this equation, option two and three are necessary true for independent events:
For definition of P(A | B)
P(A | B)= P(A ∩ B) / P(B)
And we replace P(A ∩ B) using the first option that we know it´s true:
P(A | B)= P(A)*P(B) / P(B)= P(A)
So P(A | B)=P(A) it´s true for A and B independent.
The same process goes to show P(B | A)=P(B)
Because of this, the only one of the options that could not be true for independent events is P(A ∪ B)=P(A) + P(B), and this happens because P(A ∩ B)=P(A)*P(B) applies but it could be different from 0 considering P(A ∪ B)=P(A) + P(B) - P(A ∩ B). We conclude this property (P(A ∪ B)=P(A) + P(B)) is not necessary true for A and B independent.
10y+28 is equivalent to 5(2y+8)-12
