Hi there!
A year is 365 days, correct?
If we save our pennies up from January 1st to December 31st, you'd have 3 dollars (since 100 pennies is 1 dollar) and 65 pennies left over. If it was a leap year, however, you'd have 3 dollars and 66 cents. :)
Hope this helps! :D
Answer:
Step-by-step explanation:
Conditions
- A diameter must be chosen such that it meete the sidewalk perpendicular to itself.
- The diameter meets the sidewalk at the sidewalk's midpoint.
- The diameter meets the sidewalk such that the diameter is cut into two segments 30+18 and 12
- The sidewalk is cut in 1/2 where the diameter meets the sidewalk as the diagram shows.
- If all these conditions are met, the relationship between the four lines is
Equation
48/12 = x^2
Solution
4 = x^2
sqrt(x^2) = sqrt(4)
x = 2
The length of the sidewalk is 4. Why is it doubled.
Because there are 2 xs of equal length
1) function f(x)
x - 5
f(x) = ----------------
3x^2 - 17x - 28
2) factor the denominator:
3x^2 - 17x - 28 = (3x + 4)(x - 7)
x - 5
=> f(x) = -----------------------
(3x + 4) (x - 7)
3) Find the limits when x → - 4/3 and when x → 7
Lim of f(x) when x → - 4/3 = +/- ∞
=> vertical assymptote x = - 4/3
Lim of f(x) when x → 7 = +/- ∞
=> vertical assymptote x = 7
Answer: there are assympotes at x = 7 and x = - 4/3
Answer:
We conclude that the population mean is 24.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 24
Sample mean, 
= 22.8
Sample size, n = 100
Alpha, α = 0.05
Sample standard deviation, s = 8.3
First, we design the null and the alternate hypothesis
We use Two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
We calculate the p-value with the help of standard z table.
P-value = 0.1498
Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.
Now, 
Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.
