Answer:
=42
Step-by-step explanation:
The expression 8×7×9×49×3 can be written in its simplest factor form as follows.
8=2³
49=7²
9=3²
Thus the expression becomes:2³×7×3²×7²×3
Combine the indices to the same base.
2³×3³×7³
Finding the cube root involves dividing the index by three.
Thus ∛(2³×3³×7³)= 2×3×7
=42
There are 8 equal parts. Each part is 1/8 of the whole 8/8
Answer:
Step-by-step explanation:
Given that we assume no direct factory overhead costs (i.e., inventory carry costs) and $3 million dollars in combined promotion and sales budget, the Deal product manager wishes to achieve a product contribution margin of 35%.
Sales - variable cost = Fixed cost + profit
Here fixed cost = 3 million dollars
Sales - variable = contribution = 35%
35% should atleast meet the fixed cost
i.e. 35% = 3 million
100% = 8.57 million can be cost
Since fixed cost will not change and remain 3 million these 5,57 million can be given to material and labor costs
So material and labor cost should be limited upto 5.57 million increase.
Answer:
The bill excluding tax is $31.21 and the 20% tip was $6.24.
Answer:
Step-by-step explanation:
Given is the probability distribution of a random variable X
X 4 5 6 7 Total
P 0.2 0.4 0.3 0.1 1
x*p 0.8 2 1.8 0.7 5.3
x^2*p 3.2 10 10.8 4.9 28.9
a) E(X) = Mean of X = sum of xp = 5.3
Std dev = square root of variance = 0.9
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b) For sample mean we have
Mean = 5.3
Variance = var(x)/n = 
c) 
