Answer:
32 goldfish
Step-by-step explanation:
Given:
- Number of fish tanks = 8
- Volume of water per fish tank = 5,544 in³
- Water required by 1 goldfish = min 1,386 in³
Number of fish per tank = water per tank ÷ water per goldfish
= 5544 ÷ 1386
= 4
Therefore, each tank can hold a maximum of 4 goldfish.
Greatest number of goldfish = number of tanks × fish per tank
= 8 × 4
= 32
Answer:
12m
Step-by-step explanation:
Given that the area of the square DVD case is 144 square cm
Since Area = L²
144 =L²
L = √144
L = 12m
Since the width of the DVD and its case are the same, hence the with of the DVD is also 12m
Answer:
-4 or -9
Step-by-step explanation:
-a^2-13a-36=0
(-a-4)(a+9)=0
-a-4=0
a+9=0
a= -4, -9
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
2 less than (3 times a number) is the same as (the number plus 10)
2 less than (3*x) = (x + 10)
3x - 2 = x + 10
From here, you solve! :)
3x - 2 - x = x + 10 - x
2x - 2 = 10
2x - 2 + 2 = 10 + 2
2x = 12
2x / 2 = 12 / 2
x = 6
Hope this helps! :)
