Step-by-step explanation:
the average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
so,
(h(7) - (h(3)) / (7 - 3)
h(7) = 7² - 7×7 + 6 = 49 - 49 + 6 = 6
h(3) = 3² - 7×3 + 6 = 9 - 21 + 6 = -6
7 - 3 = 4
(6 - -6)/4 = 12/4 = 3
the average change rate in that interval is 3 (or fully 3/1).
Answer:
all the possible values of y - x are 4 and 5
all possible values of x/y = 1
Answer: the anwser is A
Step-by-step explanation:
I used a calculator lol
Answer:
-0.20
Step-by-step explanation:
Given the data:
Age at auction (x) ____price sold (y)
391
51
32
84
47
104
88
43
470
51
Y:
76.9
95.4
86.3
49.3
80
57
47.8
80
70
86.9
General formula for a simple linear regression :
y = ab + c
Where ;
y = predicted variable ; a = slope / gradient
b = predictor / independent variable ; c = intercept
From the result obtained from the calculator :
y = -0.01246X + 74.65552
Correlation Coefficient is used to measure the strength of relationship between linear variables.
The regression Coefficient obtained is - 0.20
This shows that there is a weak negative correlation between the age at auction and the price at which painting is sold. This is because the negative sign means that value of y decreases as x increases or vice versa, however, due to a correlation vale which is closer to 0 than 1 or - 1, we can conclude that the negative relationship between the variables is weak.
Answer:
The probability is 0.173
Step-by-step explanation:
The probability is of winning is 0.75 = 75/100 = 3/4
This means that the probability of losing is 0.25 = 25/100 = 1/4
So if they are two win 4 games, they will lose three
We can get this probability using the Bernoulli approximation of the binomial theorem
So here, we have
P(X = 4) = 7 C 4 * 0.75^4 * 0.25^3
= 0.173034667969
which is approximately 0.1730
