If the sample is truly random, every member of the population should have an equal chance to be selected. Because of this, Paula and Peter's probability of being chosen will be equal: 1/9800
The 3rd one is the answer
Answer:
7.92 cubic units
Step-by-step explanation:
The volume formed is V = ∫πx²dy
Now, since y = x³/4, x = ∛(4y). Also if x = 0, y = 0³/4 = 0 and the curve intersects the line y = 1. So the limits of integration are y = 0 to y = 1
So, V = ∫₀¹πx²dy
= ∫₀¹π[ ∛(4y)]²dy
= π(∛4)²∫₀¹[ ∛(y]²dy
= π(∛4)²∫₀¹y^³/₂dy
= π(∛4)²[y^⁵/₂]₀¹
= π(∛4)²[1^⁵/₂ - 0^⁵/₂]
= π(∛4)²[1 - 0]
= π(∛4)²
= 7.92 cubic units
Answer:
Step-by-step explanation:
Distance of yellow to white = 8 inches which is given
The green ball is at the midpoint of red to white.
Since the green ball is 10 inches to the red ball, the green ball is also 10 inches from the white ball. That's what a midpoint is.
The yellow ball is closer.
Answer:

Step-by-step explanation:
The equation of a straight line in slope intercept form is given by:
y = mx + c;
where y, x are variables, m is the slope of the line and c is the y intercept (that is value of y when x is 0).
The equation of a line passing through point (
) with a slope of -1/2 is given by:

Given that the line passes through the point (-10,9) and has a slope of -1/2. Hence the equation of the line is: