Keenan buys an embroidery machine for $1,400. He uses it to embroider T-shirts. His total profit in dollars from selling the T-s
hirts is represented with the function f(x) = 12x − 1,400. When the machine breaks, he pays $135 to have it fixed. How does that cost affect a graph of Keenan’s profit function?
A. The graph is translated up 135 units.
B. The graph is translated down 135 units.
C. The graph is translated left 135 units.
D. The graph is translated right 135 units.
A. The graph is translated up 135 units.
B. The graph is translated down 135 units.
C. The graph is translated left 135 units.
D. The graph is translated right 135 units.
1 answer:
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Scientific notation is used so that the order of the number is known in first glance. The value of the given number in scientific notation is given by: Option B:
The number is written in the form where we have
The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).
Scientific notations have some of the profits as:
- Better readability due to compact representation
- Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
For the given case, the number in consideration is 0.0000069
Rewriting it in fraction form, we get:
(we used two facts: first that :
and second that:
Thus, the value of the given number in scientific notation is given by: Option B:
Learn more about scientific notations here:
Answer:
Step-by-step explanation:
<u>Confidence Interval</u>
When the population standard deviation is known, the formula for a confidence interval for a population mean
is:
Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are
Calculating the confidence interval
Or, equivalently