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:
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Answer:
A) Alternative hypothesis; Ha: p_o > ⅔
B) Null hypothesis;
H0: p_o = ⅔
C) There is sufficient evidence to support the claim that the community screening programme was effective
D) p-value = 0
Its less than the significance value and so we will reject the null hypothesis and conclude that the community screening programme was effective
Step-by-step explanation:
A) We are told that ⅓ of those diagnosed eventually die of the disease. Thus, ⅔ is the fraction that will survive the disease.
Thus, the null hypothesis is;
H0: p_o = ⅔
We are told that a screening programme was started to increase the survival rate. Thus,the alternative hypothesis is;
Ha: p_o > ⅔
B) null hypothesis is;
H0: p_o = ⅔
C) 164 out of the 200 women selected survived the disease.
Thus sample proportion is;
p^ = 164/200
p^ = 0.82
For the z-score value, we will use the formula;
z = (p^ - p_o)/√((p_o(1 - p_o)/n)
Now, p_o = ⅔ = 0.67
Thus;
z = (0.82 - 0.67)/√((0.67(1 - 0.67)/200)
z = 4.51
From online p-value from z-score calculator, we have p-value ≈ 0
This is less than the significant level of 0.05 and therefore we will reject the null hypothesis and conclude that the community screening program was effective.
D) p-value ≈ 0
Reject the null hypothesis
Answer:
28 yd²
Step-by-step explanation:
find the two biggest sides
2x4
8 but there are two sides...
8*2= 16
*16*
now side panels
1x4
4 but there are two
4*2= 8
*8*
top and bottom panels
2x1
2 but there are two
2*2= 4
*4*
add them up
16 + 8 + 4= 28
Answer:
Step-by-step explanation:
N is between points M and O
MN = x
MO = 3x - 6
NO = x + 1
The way it reads MN + NO = MO
x + x + 1 = 3x - 6
2x + 1 = 3x - 6
2x - 2x +1 = 3x -2x - 6
1 = x - 6
1 + 6 = x
x = 7
MO = 3x - 6
MO = 3*7 - 6
MO = 21 - 6
MO = 15