Answer:
The correct answer is zero.
Step-by-step explanation:
A random variable generator selects an integer from 1 to 100 both inclusive leaves us with total number of possible sample as 101.
We need to find the probability of selecting the integer 194.
The probability of selecting 194 from the sample is zero as the point does not exist in the random variable generator. Thus we can never pick 194 from the random variable generator giving us the probability a zero.
Answer:
1 pi: 3pi
Step-by-step explanation:
Step 1: Formula of surface area and volume of sphere
Surface area of sphere = 4 x pi x r^2
Volume of sphere = <u>4</u> x pi x r^3
3
Step 2: Apply values in the formula
r = radius
radius = diameter/2
r=18/2 = 9
S.A = 4 x pi x 9^2
S.A = 324pi
Volume = <u>4</u> x pi x 9^3
3
Volume = 972pi
Step 3 : Show in ratio
Surface area : Volume
324pi : 972pi
= 1 pi: 3pi
To determine which line the point lies on, you can just plug in one of the numbers into the equations to see if it equals out.
(2, -1) I will use the 2 and plug it in for x in the equation.
y = 2x + 1
y = 2(2) + 1
y = 5 The point does not lie on this line because when x = 2, y = 5 (2, 5)
y = x + 5
y = 2 + 5
y = 7 The point does not lie on this line because when x = 2, y = 7 (2, 7)
y = 2x - 5
y = 2(2) - 5
y = 4 - 5
y = -1 The point does lie on this line because when x = 2, y = -1 (2, -1)
y = x - 2
y = 2 - 2
y = 0 The point does not lie on this line because when x = 2, y = 0 (2, 0)
Answer:
200 ft.
2 jumps
Step-by-step explanation:
The slide is placed at coordinates (-2,0) and the fountain is placed at coordinates (-2,-2).
(A) Therefore, using the distance between two known points formula, the distance from the slide to the fountain is given by
units.
Now, given that each unit on the grid represents 100 ft.
So, the distance from slide to the fountain is (100 × 2) = 200 ft. (Answer)
(B) Now, if each jump = 100 ft, then the slide is 2 jumps apart from the fountain. (Answer)
We know the distance between two known points on the coordinate plane (
) and (
) is given by the following formula
Distance = 
