Answer:
Step-by-step explanation:
The table can be computed as:
Advertising Expenses ($ million) Number of companies
25 up to 35 4
35 up to 45 19
45 up to 55 27
55 up to 65 16
65 up to 75 9
TOTAL 75
Let's find the probabilities first:
For 35 up to 45
For 45 up to 55
For 55 up to 65
For 65 up to 75
Chi-Square Table can be computed as follows:
Expense No of Probabilities(P) Expe
compa cted E (n*p)
nies (O)
25-35 4 0.0612 75*0.0612 = 4.59 0.3481 0.0758
35-45 19 0.2218 75*0.2218 = 16.635 5.5932 0.3362
45-55 27 0.3568 75*0.3568 = 26.76 0.0576 0.021
55-65 16 0.2552 75*0.2552 = 19.14 9.8596 0.5151
65-75 9 0.0839 75*0.0839 = 6.2925 7.331 1.1650
Using the Chi-square formula:
Null hypothesis:
Alternative hypothesis:
Assume that:
degree of freedom:
= n-1
= 5 -1
= 4
Critical value from
Decision rule: To reject
test statistics is greater than
tabulated.
Conclusion: Since
is less than critical value 11.667. Then we fail to reject
Answer:
(x, y ) → (x + 5, y - 3 )
Step-by-step explanation:
5 units right means add 5 to the x- coordinate
3 units down means subtract 3 from the y- coordinate
the translation rule is
(x, y ) → (x + 5, y - 3 )
Answer:
3
Step-by-step explanation:
I think you misses attaching the photo, so please have a look at my photo for your better understanding.
We know the formula for rate of change of the parabola line:
Given here:
a= 2 => f(a) = 2
b=6 => f(b) = 2
Substitute all the values into the function, we have:

So the rate of change is 3
Answer: 1) 8/15 2) 2 4/9 3) -13/45
Step-by-step explanation:
1/5 + 1/3 = 6/30 + 10/30 = 16/30 = 8/15
2 1/9 + 1/3 = 19/9 + 3/9 = 22/9 = 2 4/9
1/9 - 2/5 = 5/45 - 18/45 = -13/45