Which value of y from the set {4, 5, 6, 7} makes this equation true? 2y + 5y = 49
2 answers:
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Answer:
Option a) Mean
Mean is affected a lot by the change in the last observation as the median remains the same.
Step-by-step explanation:
we are given the following in the question:
Data set A: 64, 65, 66, 68, 70, 71, 72
Data set B: 64, 65, 66, 68, 70, 71, 720
For data set A, the mean and median are 68.
For data set B:
Formula:
Sorted data:
64, 65, 66, 68, 70, 71, 720
Clearly, 720 is the is a outlier.
As seen mean is affected a lot by the change in the last observation as the median remains the same.
Answer:
You save 86 cents per pound.
Step-by-step explanation:
According to the given problem, grocery store B charges chicken 5 pounds of chicken for $38.20. Consider finding the unit price:
To find the unit price of any item, do the following calculation:
Total Price / Total amount = $$$ per amount.
The unit price of store b is . In other words, every pound of chicken costs $7.64 at store b.
For store a, we are provided with a table. Given how the question is being asked, we should <u>expect a higher unit price</u>. We can take any charge to find the unit price since the price should be consistent no matter how many pounds you buy. I will calculate the first row:
In other words, every pound of chicken costs $8.50 at store a. <u>This price is higher</u>. You can verify this is the correct unit price by multiplying the unit price with any amount of pounds provided at the table. You should get the total cost.
So, now that we have both unit prices, we can calculate the difference to find out how much we save per pound when choosing store b:
8.50-7.64=0.86.
Because
therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k = constant.
Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
= 2x³ + 4x² - 31x + 7
Answer: f(x) = 2x³ + 4x² - 31x + 7
therefore
f(x) = (x-3)(2x² + 10x - 1) + k, where k = constant.
Because f(3) = 4, therefore k =4.
The polynomial is
f(x) = 2x³ + 10x² - x - 6x² - 30x + 3 + 4
= 2x³ + 4x² - 31x + 7
Answer: f(x) = 2x³ + 4x² - 31x + 7