Answer:
(-∞,7) U (7,∞)
Step-by-step explanation:
All real values of x such x ≠ 7
You would need to multiply the monthly cost, $14, by the number of months and then that would be added to the cost to join, $25
For 6 months it would cost 14 x 6 = 84 + 25 = $109
The answer would be C.
9514 1404 393
Answer:
B) obtuse
Step-by-step explanation:
I like to answer these questions using a "form factor" (f) computed as ...
f = a² + b² - c² . . . . . . . where a, b, c are side lengths with c the longest
Then ...
f = 9² +12² -17² = 81 +144 -289 = -64
The negative value indicates an obtuse triangle (largest angle more than 90°).
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f = 0 indicates a right triangle; f > 0 indicates an acute triangle.
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<em>Additional comments</em>
You may recognize that the two short sides have the ratio 9:12 = 3:4. You know a (3, 4, 5) triangle is a right triangle, so this triangle would be a right triangle if the longest side were 15. Since it is 17, you know the largest angle is more than 90°.
This "form factor" is related to the angle computation you would do to find the measure of the largest angle using the law of cosines. That angle is ...
C = arccos(f/(2ab)) = arccos(-64/216) ≈ 107.2°
Since the factor (2ab) is always positive, the sign of "f" tells you the sign of the cosine of the angle. It is negative for angles greater than 90°.
Answer and Step-by-step explanation:
The given function is:
F(y) =1 – 1/y2 , 1 ≤ y < ∞
Verify function is valid
Limy->-∞f(y) = Limy->-∞ 0 = 0
Limy->∞f(y) = Limy->∞ 1 – 1/y2
= 1, for y ≤ 1
F(y) = 0 is constant. For y > 1, f”(y) = 2 / y3 > 0
So, function is increasing. Therefore f(y) is cdf.
Probability density function
The probability density function is
F(y) = d/dy f(y) = {(2/y2 if y>1o if y≤1 )}
z = 5(y+1)
F (z) = p (z ≤z) = p (5(y+1) ≤z)
= p(y ≤ (z/5) – 1)
F (z) ={(0 if z≤0 and 1-1/(z/5-1)2 if z>0 )