a)
Answer: 0.91 m
Explanation:
We know that,
P.E. = m g h
Where,
P.E = Potential energy
m = Mass of the object
g = acceleration due to gravity (9.8 m/s²)
It is given that, m = 1.5 kg
P.E. = 13.44 J
⇒ 13.44 = 1.5 kg × 9.8 m/s² × h
⇒ h = 0.91 m
Hence, apple sits om 0.91 m tall counter.
b)
Answer: 216 J
Explanation:
P.E. = m g h
Weight, mg = 120 N ( given)
height, h = 1.8 m ( given)
The energy possessed by the suitcase is due to virtue of its position (gravitational potential energy)
P.E. = 120 N × 1.8 m = 216 J
Hence, the energy possessed by the suitcase sitting on the counter is 216 J.
Answer:
N=27 participants
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.
If we assume that we have
independent variables and we have
individuals, we can define the following formulas of variation:
And we have this property
The degrees of freedom for the model on this case is given by
where k =2 represent the number of variables.
The degrees of freedom for the error on this case is given by
. Sinc we know k we can find N.

And the total degrees of freedom would be 
On this case the correct answer would be N=27 participants
Answer:

Step-by-step explanation:
A following table titled Apples showing Pounds, Cost per Pound and Total.

This means that
1 pound of Fuji apples costs $3
(30 - g) pounds of Fuji apples cost 
Hence, the total is

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