The final probability is the weighted average of the playing probabilities calculated over the possible weather options:
P(john practices cello; given that it rains) * P(it rains) +
P(john practices cello; given that it does not rain) * P(it does not rain) =
0.6 * 0.7 + 0.4 * 0.3 = 0.54
The probability is 54%
Using a Protractor..
It's a little plastic half circle thingy with angle measurements on it.
see image below
Answer: A.
Step-by-step explanation:
Equation: V=lwh
5 × 10 × 15 = 750 cubic cm
Answer:
2 2/3 cups of sugar
Step-by-step explanation:
If your ratio is 3 flour to 4 sugar, and you use 2 cups of flour, set up your proportion as follows:

Cross multiply to get 3x = 8 and x = 8/3 which is 2 and 2/3 cups of sugar.
Step-by-step explanation:
Close. You correctly set up the integrals. When integrating e²ˣ:
∫ e²ˣ dx
½ ∫ 2 e²ˣ dx
½ e²ˣ + C
So the coefficient should be ½, not 2.
[eˣ − ½ e²ˣ]₋₁⁰ + [½ e²ˣ − eˣ]₀¹
[(e⁰ − ½ e⁰) − (e⁻¹ − ½ e⁻²)] + [(½ e² − e) − (½ e⁰ − e⁰)]
1 − ½ − e⁻¹ + ½ e⁻² + ½ e² − e − ½ + 1
-e⁻¹ + ½ e⁻² + ½ e² − e + 1