Answer:
Answer as a fraction: 4/15
Answer as a decimal: 0.267
The decimal version is approximate rounded to three decimal places.
Step-by-step explanation:
6 apples, 4 peaches
6+4 = 10 pieces of fruit total
The probability of picking an apple is 6/10 = 3/5
After you pick and eat the apple, there are 10-1 = 9 pieces of fruit left. Also, the probability of picking a peach is 4/9, as there are 4 peaches out of 9 fruit left over.
Multiply out 3/5 and 4/9 to get (3/5)*(4/9) = (3*4)/(5*9) = 12/45 = 4/15
Using a calculator, 4/15 = 0.267 approximately.
Answer:
w = 12
Step-by-step explanation:
Create formula:
540 = 40w - 60 where 540 is the cost of the camera, 40 is the amount saved, w is the number of weeks, 60 is the amount owed
Solve for w
540 = 40w - 60: subtract 60
480 = 40w: divide by 40
w = 12
To solve this, we must isolate x (have it by itself).
4/5x = 56
Multiply each side by 5x.
4/5x(5x) = 56(5x)
Divide each side by 280.
4/280 = 280x/280
Solve.
0.014 = x
0.014 can also be written as 1/70
:)
Answer:
117.3 ft³
Step-by-step explanation:
The equation for the volume of a cone of radius r and height h is
V = (1/3) π r² h.
Here, V = (1/3) π (4 ft)² (7 ft) = 117.3 ft³
a) If f(y) is a probability density function, then both f(y) ≥ 0 for all y in its support, and the integral of f(y) over its entire support should be 1. eˣ > 0 for all real x, so the first condition is met. We have
so both conditions are met and f(y) is indeed a PDF.
b) The probability P(Y > 4) is given by the integral,
c) The mean is given by the integral,
Integrate by parts, with
Then
