Answer: the length is 11 cm.
The width is 7 cm.
Step-by-step explanation:
Let L represent the length of the rectangular plastic box.
Let W represent the width of the rectangular plastic box.
The area of the rectangular top of the box is 77 square cm. This means that
LW = 77- - - - - - - ;- - - -1
The plastic box has a length 4 cm longer than its width. This means that
L = W + 4
Substituting L = W + 4 into equation 1, it becomes
(W + 4)W = 77
W² + 4W = 77
W² + 4W - 77 = 0
W² + 11W - 7W - 77 = 0
W(W + 11) - 7(W + 11) = 0
W - 7 = 0 or W + 11 = 0
W = 7 or W = - 11
Since the width cannot be negative, then W = 7cm
L = 77/7 = 11 cm
Answer:
-16 is the answer after evaluating
Step-by-step explanation:
Yes but In the bigger group each person would have less
Missing Part of Question
Juice that is opened. It is known that the annual profits earned by health-drink franchises has a population standard deviation of $8,700
........
Answer:
z = 1.157
Step-by-step explanation:
Given
Annual profit as calculated = $90,300.
H0: μ = 89,000
Ha: μ > 89,000
σ = 8700
n = 60
Calculate the test statistic (z) that corresponds to the sample and hypotheses.
Test statistic (z) is calculated by
z = (x - μ)/(σ/√n)
Where x = 90,300
μ = 89,000
σ = 8700
n = 60
z = (90,300 - 89,000)/(8700/√60)
z = 1.157443298866584
z = 1.157 ----- Approximated
