Answer: the mixture contained 15 pounds of white chocolate and 5 pounds of dark chocolate.
Step-by-step explanation:
Let x represent the number of pounds of white chocolate in the candy shack mixture.
Let y represent the number of pounds of dark chocolate in the candy shack mixture.
The candy shack has 20 lb of mixed white and dark chocolate. This means that
x + y = 20
The 20lb mixture is worth $7.50 per pound. This means that the total cost of the mixture is
20 × 7.50 = $150
White chocolate alone sells for $8.00 per pound and dark chocolate sells for 6.00 per pound. This means that
8x + 6y = 150 - - - - - - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
8(20 - y) + 6y = 150
160 - 8y + 6y = 150
- 8y + 6y = 150 - 160
- 2y = - 10
y = - 10/ - 2
y = 5
x = 20 - y = 20 - 5
x = 15
Answer:
When the range is wide
Step-by-step explanation:
Answer:
The answer is given below
Step-by-step explanation:
Z score is used to measure by how many standard deviations the raw score is above or below the mean. It is given by the formula:
For the male:
μ = 3259.8 g, σ = 869.7 g
Hence for a male who weighs 1600 g, the z score is:
For the female:
μ = 3000.9 g, σ = 550.8 g
Hence for a female who weighs 1600 g, the z score is:
Since the z score for the male is z= -1.91 and the z score for the female is z= -2.54 the male has the weight that is more extreme.
