Answer:
Part A: YES, it is.
Part B: the amount of pumpkin picked and the amount of fertilizer applied.
Step-by-step explanation:
Part A:
The closer the correlation coefficient is to 1, the stronger the relationship between two variables, and vice versa. Also, the closer the data points are on a scatter plot, the closer the correlation coefficient is to 1.
The scatter plot shown indicates a positive correlation between number of days and number of pumpkins. However, the data points are to some extent farther apart from each other. This shows a moderate relationship between the two variables. Therefore, a correlation coefficient, r, of 0.51 that was calculated can be concluded to be accurate , because an r of 0.51 depicts a moderate relationship between two variables.
Part B:
A variable that could affect the number of pumpkins picked could be amount of fertilizer applied, instead of the day in October. Thus, we can compare the amount of pumpkin picked and the amount of fertilizer applied.
Answer:
1. no solutions
2. one solution
Step-by-step explanation:
1. -4(5-3x)=12x+20
-20+12x=12x+20
-40+12x=12x
-40=0?????
So no solutions.
2. 3x+7(x+1)=2(6x+5)+2
3x+7x+7=12x+10+2
10x+7=12x+12
-2x+7=12
-2x=5
x=-5/2
So one solution.
Answer: Shortest side = 6 inches, Medium side = 10 inches and Longest side = 11 inches
Step-by-step explanation: The perimeter has been given as 27 inches, and we know that the perimeter of any given figure is the addition of all sides. The sides are unknown yet, but we have clues as follows;
The longest side is 5 inches longer than the shortest side, hence the longest side equals s + 5. The medium side is 4 inches longer than the shortest side, hence the medium side equals s+ 4. Th shortest side remains s.
Therefore with the perimeter given as 27, we now have the expression;
s + s + 4 + s + 5 = 27
3s + 9 = 27
Subtract 9 from both sides of the equation
3s = 18
Divide both sides of the equation by 3
s = 6
Hence, the sides of the triangle are given as 6, (6+ 4) and (6+ 5), which is,
6 inches, 10 inches and 11 inches.
Solution :
Given data :
The mean length of the steel rod = 29 centimeter (cm)
The standard deviation of a normally distributed lengths of rods = 0.07 centimeter (cm)
a). We are required to find the proportion of rod that have a length of less than 28.9 centimeter (cm).
Therefore, P(x < 28.9) = P(z < (28.9-29) / 0.07)
= P(z < -1.42)
= 0.0778
b). Any rods which is shorter than 
cm or longer than 
cm that re discarded.
Therefore,
P (x < 24.84 or 25.16 < x) = P( -59.42 < z or -54.85)
= 1.052
Answer:
y = -2 and y = -5 thus: d)
Step-by-step explanation:
