Answer:
A. 24 lap/hour.
B. r = 24h
Step-by-step explanation:
Let r be the number laps.
Let h be the time.
From the question given above, the number of laps (r) Jessica runs around the track is proportional to the time (h) she spend running. This can be written as:
r & h
r = Kh
Where:
r is the number of laps.
K is the constant of proportionality.
h is the time.
A. Determination of the constant of proportionality.
With the above formula, we can calculate the value of the constant of proportionality, K as follow:
Number of laps (r) = 12 laps
Time (h) = ½ hour
Constant of proportionality (K) =.?
r = Kh
12 = K × ½
12 = K/2
Cross multiply
K = 12 × 2
K = 24 lap/hour
Therefore, constant of proportionality is
24 lap/hour.
B. Equation for relationship between the number of lap and time. This is illustrated below:
r = Kh
K = 24
r = 24h
Therefore, the equation for relationship between the number of lap and time is r = 24h
The answer is the second one. 27=x^3
The assumptions of a regression model can be evaluated by plotting and analyzing the error terms.
Important assumptions in regression model analysis are
- There should be a linear and additive relationship between dependent (response) variable and independent (predictor) variable(s).
- There should be no correlation between the residual (error) terms. Absence of this phenomenon is known as auto correlation.
- The independent variables should not be correlated. Absence of this phenomenon is known as multi col-linearity.
- The error terms must have constant variance. This phenomenon is known as homoskedasticity. The presence of non-constant variance is referred to heteroskedasticity.
- The error terms must be normally distributed.
Hence we can conclude that the assumptions of a regression model can be evaluated by plotting and analyzing the error terms.
Learn more about regression model here
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The formula in getting the arithmetic sequence:
an = a1<span> + (n – 1)d.
</span>
We can substitute the values in order for us to know how many terms the sequence has.
an = 7373
a1 = 1313
d = 303
an = a1<span> + (n – 1)d
</span>7373 = 1313 + (n-1) 303
7373 = 1313 + 303n - 303
-303n = 1313 - 303 - 7373
303n = -1313 + 303 + 7373
303n = 6363
n = 21
So, there are 21 terms in the sequence given.
