Answer:
You can sell at least 40 phones each week.
Step-by-step explanation:
Given that:
Weekly base salary = $150
Earning on each phone = $20
Maximum amount that can be earned each week = $950
Let,
m be the number of phones.
20m + 150 ≤ 950
20m ≤ 950 - 150
20m ≤ 800
Dividing both sides by 20
m ≤ 40
Hence,
You can sell at least 40 phones each week.
Answer:
Part A
a. There is not sufficient sample evidence to conclude that the full-time placement rate is now less than 87% because the p-value is greater than 0.05
Part B
= 17.9·(x) + 1.6
Part C
The teen pregnancy rate in Florida is 6.54
Step-by-step explanation:
The percentage of graduates that find full-time employment in their fields within the first year of graduation = 87%
The significant level of the hypothesis test = 5% = 0.05
The p-value = 0.07
Given that the testing conditions are met, we have;
The p-value is larger than the significant level of 0.05, therefore, it cannot be concluded that there is significant difference between the two rates
Therefore;
There is not enough statistical evidence available to come to a conclusion that the placement rate of full-time students has reduced below the given 87% because from the statistics, the p-value is larger than 0.05.
Part B
Number of Pages, x; 7, 12, 4, 14, 25, 30
Cost, y; 128, 213, 75, 250, 446, 540
The regression analysis formula is;
Y = a + b·X
We have;
∴ b = (6×34602-92×1652)/(6×1930 - 92²) ≈ 17.852
a = (1652 - 17.852 × 92)/6 ≈ 1.6
∴ Y ≈ 17.9·(x) + 1.6
Part C
The given regression model is y = 4.3 + 1.4(x)
Therefore, at x = 1.6, we get;
y = 4.3 + 1.4 × 1.6 = 6.54
The suggests that the teen pregnancy rate in Florida is 6.54.
The new width of the window should be 36.75 inches ⇒ 2nd answer
Step-by-step explanation:
The proportionally is two quantities having a constant ratio
The quantities y and x are proportional if:
∵ Manny wants to proportionally enlarge a rectangular window
- That means the new dimensions are proportion with the
original dimensions
∴ New dimensions = k × original dimensions
- k is the constant of proportionally
∵ The original length = 36 inches
∵ The new length = 54 inches
- Substitute then in the equation above to find k
∵ 54 = k × 36
- divide both sides by 36
∴ 1.5 = k
∴ The new dimensions = 1.5 × original dimensions
∵ the original width = 24.5 inches
∴ The new width = 1.5 × 24.5 = 36.75 inches
The new width of the window should be 36.75 inches
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