Answer: 3/5
Step-by-step explanation: Notice that the fractions that we are comparing in this problem have different denominators. When fractions have different denominators, they are called unlike fractions.
To compare unlike fractions, we must first get a common denominator. The common denominator of 3 and 5 will be the least common multiple of 3 and 5 or 15.
To get a 15 in the denominator of 1/3, we multiply the numerator and the denominator by 5 which gives us 5/15.
To get a 15 in the denominator of 3/5, we multiply the numerator and the denominator by 3 which gives us 9/15.
Notice that we now have like fractions since both fractions have a 15 in the denominator.
To compare like fractions, we simply look at the numerators.
9/15 - 5/15
Since 9 is greater than 5, 9/15 is greater than 5/15.
This means that 3/5 is bigger than 1/3.
Answer:
Step-by-step explanation:
-1 ≤ x < 3 Solution set = {-1, 0 ,1 , 2}
-2 < x < 2 Solution set = {-1 , 0 , 1}
Integer values that satisfies both inequalities are -1 , 0 , 1
Well, a linear function is proportional, a straight line (on a graph). And the numbers must not have the same answer. For instance, if the X input is 5, and the Y output is 7. And then another X input is 5, and the Y output is 8, that's non-linear.
So, the Answer would be the third graph. This is because the X values are steadily increasing, and so are the Y values.
For the X and Y values, for each time X increases by 1, Y increases by -8. This is, linear because both sides are constantly and evenly increasing.
(x+4) / 44.8 = 35 / 56
56(x+4) = 35(44.8)
56x + 224 = 1568
56x = 1344
x = 24
answer
x = 24 mm
Mean:
E[Y] = E[3X₁ + X₂]
E[Y] = 3 E[X₁] + E[X₂]
E[Y] = 3µ + µ
E[Y] = 4µ
Variance:
Var[Y] = Var[3X₁ + X₂]
Var[Y] = 3² Var[X₁] + 2 Covar[X₁, X₂] + 1² Var[X₂]
(the covariance is 0 since X₁ and X₂ are independent)
Var[Y] = 9 Var[X₁] + Var[X₂]
Var[Y] = 9σ² + σ²
Var[Y] = 10σ²
