Answer: Equation Classification
: A. Possible and Determined;
B. Possible and undetermined and C. Impossible:
Step-by-step explanation:
A. Possible and Determined: These are equations that admit at least one solution.
Example: 2x = 3 → x = <u>3
</u>
2
B.
Possible and undetermined:
They are equations that have infinite solutions.
Example: x + 2 = x + 2 → The unknown x assumes infinite numerical values. Thus, the equation has infinite solutions.
C. Impossible: Has no solution.
Examples:
0x = 4 → Unable to divide 4 by 0.
y = y + 2 → y - y = + 2 → 0 = +2 → There is no equation without unknown.
The answer is D.
first get 8/(t-2)/6
use rule a/b/c = (ac)/b
6*8 = 48/(t-2)
now you have (4t^2-16)/48/(t-2)
fraction rule again...
=(4t^2-16)(t-2) / 48
now factor 4t^2-16 = 4(t^2-4)
this leaves you with:
4(t-2)(t^2-4)/48
=(t^2 - 4)(t-2) / 12
Answer:
H0 : μ = 60000
H1 : μ ≠ 60000
Test statistic = 3.464
Step-by-step explanation:
Given :
Sample mean salary, xbar = 80000
Sample standard deviation, s = 10000
Population mean salary , μ = 60000
Sample size, n = 3
Hypothesis :
H0 : μ = 60000
H1 : μ ≠ 60000
The test statistic :
T = (xbar - μ) ÷ (s/√(n))
T = (80000 - 60000) ÷ (10000/√(3))
T = 20000 / 5773.5026
T = 3.464
The Decison region :
If Tstatistic >Tcritical
Tcritical at 10%, df = 2 ; two - tailed = 2.9199
Tstatistic > Tcritical ; He
Answer:
15
Step-by-step explanation:
multiply both sides by 15
45x=675
Divide both sides by 45
x=15