Answer:
20 times
Step-by-step explanation:
Given the following :
Probability of rolling a number less than 3 on a number cube:
Required outcome = (1, 2)
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome / Total possible outcomes
= 2 /6
= 1/3
Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :
(Probability of obtaining a number less than 3 in one roll × number of rolls)
= (1 / 3) × 60
= 60 / 3
= 20 times
Answer:
The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.
Step-by-step explanation:
Total length of the steel = 31 inches
Let the length of the first piece = x
let the length of the second piece = y
Let the length of the third piece = z
So,
y = 2x
z = 4x + 3
x + 2x + 4x +3 = total length of the steel = 31
7x + 3 + 31
7x = 31 - 3
7x = 28
x= 4 inches
Thus; y = 2x = 2 × 4 = 8 inches
z = 4x +3 = 4×4 +3 =19 inches
∴The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.
Answer:
Step-by-step explanation:
y=2x²-6x+3
y=2x+3
2x²-6x+3=2x+3
2x²-6x+3-2x-3=0
2x²-8x=0
2x(x-4)=0
x=0,4
y=0+3=3
and y=2(4)+3=11
so solutions are (0,3) and (4,11)
Slope is 2 because it goes up by two and over by one
