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
0.083 as a percentage would be 8.3% with a horizontal bar on top of the three. This is to indicate that it is repeating. To find percentage when you have a decimal, multiply a decimal by 100. If it is a fraction, divide the numerator by the denominator and you get a decimal. Then multiply it by 100 to get the percent.
<em>Hope it helps </em>
3/8 times 8/3 = 1
Answer=8/3
Answer:
0.7448
Step-by-step explanation:
P(A1) =0.95
P(A2) =0.98
P(A3) =0.8
We have to find P( all three components function properly)=P(A1∩A2∩A3).
We know that the these three events are independent so,
P( all three components function properly)=P(A1∩A2∩A3)=P(A1)*P(A2)*P(A3)
P( all three components function properly)=P(A1∩A2∩A3)=0.95*0.98*0.80
P( all three components function properly)=P(A1∩A2∩A3)=0.7448
