Answer:
64°
Step-by-step explanation:
When angles are complementary, they can be added together to equal 90°.
90° - 26° = 64°
The measure of angle A is 64°.
Answer:
(A) The rate of change in the price of a bushel of corn in the current year is $7.
(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.
Step-by-step explanation:
The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.
Part A:
The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.
The formula to compute the slope is:
Consider the ordered pairs: (4, 28) and (10, 70)
Compute the slope of the line as follows:
Thus, the rate of change in the price of a bushel of corn in the current year is $7.
Part B:
The data for the price of bushels in the previous year is as follows:
Number of Bushels Price
2 10
4 20
6 30
8 40
Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:
Consider the ordered pairs: (2, 10) and (6, 30)
The rate of change in the price of a bushel of corn in the previous year is $5.
Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.
Answer:
Step-by-step explanation:
The mean of the set of data given is
Mean = (275.4 + 276.8 + 273.9 + 275.0 + 275.8 + 275.9 + 276.1)/7 = 275.56
Standard deviation = √(summation(x - mean)^2/n
n = 7
Summation(x - mean)^2 = (275.4 - 275.56)^2 + (276.8 - 275.56)^2 + (273.9 - 275.56)^2 + (275.0 - 275.56)^2 + (275.8 - 275.56)^2 + (275.9 - 275.56)^2 + (276.1 - 275.56)^2 = 5.0972
Standard deviation = √(5.0972/7) = 0.85
We would set up the hypothesis test.
For the null hypothesis,
µ = 275
For the alternative hypothesis,
µ ≠ 275
This is a 2 tailed test.
Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.
Since n = 7
Degrees of freedom, df = n - 1 = 7 - 1 = 6
t = (x - µ)/(s/√n)
Where
x = sample mean = 275.56
µ = population mean = 275
s = samples standard deviation = 0.85
t = (275.56 - 275)/(0.85/√7) = 1.74
We would determine the p value using the t test calculator. It becomes
p = 0.132
Because the p-value of 0.132 is greater than the significance level of 0.05, we would fail to reject the null hypothesis. We conclude the data does not provide convincing evidence that the mean amount of juice in all the bottles filled that day differs from the target value of 275 milliliters.
430 oz + 8.25 oz = 438.25 oz
6,000 = 6 x 10^3 square meters.
6,000 = 60 x 10^2 square meters
6,000 = 600 x 10^1 square meters.
You can pick which you wish to report in.
Hope this helps :-)
