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:
22 degrees
Step-by-step explanation:
using inverse tangent
2.1/5.3 = 0.396226415
tan -1(0.396226415
ANSWER = 21.6147
The answer you are looking for is
.
Explanation:
4(4x−8)+4(3x−7)=7(2x+5)+6
Step 1: Simplify both sides of the equation.
4(4x−8)+4(3x−7)=7(2x+5)+6
(4)(4x)+(4)(−8)+(4)(3x)+(4)(−7)=(7)(2x)+(7)(5)+6(Distribute)
16x+−32+12x+−28=14x+35+6
(16x+12x)+(−32+−28)=(14x)+(35+6)(Combine Like Terms)
28x+−60=14x+41
28x−60=14x+41
Step 2: Subtract 14x from both sides.
28x−60−14x=14x+41−14x
14x−60=41
Step 3: Add 60 to both sides.
14x−60+60=41+60
14x=101
Step 4: Divide both sides by 14.
14x
14
=
101
14
x=
101
14