The probabilityof answering one question correctly is 1/3. To do this two times, the probability is 1/3*1/3 = 1/9 ≈ 11%
Answer:
x < -8
Step-by-step explanation:
To solve this inequality you would need to isolate the variable x.
Add 1 to both sides of the inequality.
Divide both sides of the inequality by 3.
Answer:
(f∘f)(x) = x⁴ -12x² +30
(g∘g)(x) = x/9
Step-by-step explanation:
a) (f∘f)(x) = f(f(x)) = f(x² -6)
... = (x² -6)² -6
... = x⁴ -12x² +36 -6
... (f∘f)(x) = x⁴ -12x² +30
b) (g∘g)(x) = g(g(x)) = g(x/3)
... = (x/3)/3
... (g∘g)(x) = x/9
Use the cos ratio to figure this out. You have the length of the hypotenuse and the length of the leg on the ground. The hypotenuse is 20 and the leg is 10. The cos ratio says that cosA = side adjacent/hypotenuse. So fill in the blanks here: cosA = 10/20...cosA=1/2. In your calculator, you will enter inverse cos(.5) to find that the angle in question is 60 degrees. To find the inverse function on your calculator, press the "2nd" button and the "cos" then in the (), enter ".5".
32 Marcus has created a budget for his upcoming trip to the theme park. Admission is 40% of the budget. He plans to spend 32% of his money on food, 23% on