Answer:
x = 12
Step-by-step explanation:
- Write in a different way: 2(2x + 8) = 64
- Apply the distributed property, so it now looks like this: 4x + 16 = 64
- Subtract 16 from each side, so it now looks like this: 4x = 48
- Divide each side by 4 to cancel out the 4 next to x. It should now look like this: x = 12
I hope this helps!
Answer: Correct critical value = 2.2622
Step-by-step explanation:
Confidence interval for population mean when population standard deviation is unknown:
, where = sample mean, n= sample size, s= sample standard deviation, = two-tailed t value.
As per given: n= 10
degree of freedom : df = n-1=9
Critical t-value :
So, the 95 percent confidence interval estimate for the mean :
The 95 percent confidence interval estimate for the mean:(190.14, 295.06)
<span>For the Oliver Company to break even, the total revenue must equal the sum of the variable costs and the fixed cost. Mathematically, this can be represented as:
Total revenue = 0.4*(Total revenue) + (Fixed Costs)
Let the number of units sold be x. then,
7*x = 0.4*(7*x) + 6300
Thus, x = 6300/(0.6*7) = 1500 units.
Thus the company will have to sell 1500 units to break even.</span>
Answer:
h(2)+g(2) = -3
Step-by-step explanation:
Replace the variable (t) with (
2) in the expression.
h (2) = 3 - 5
Replace the variable (t) with (
2) in the expression.
g(2) = 2(2) -5
Replace the function designators in h(2) +g(2) with the actual functions.
h(t) = 3 - 5 +2 (2) ← plug h(2) into 2(t)
Remove parentheses.
3 - 5 + 2(2)
Multiply 2 by 2
3 - 5 + 4 - 5
Subtract 5 from 3
.
-2 + 4 - 5
Add -2 and 4
2 - 5
Subtract 5 from 2
-3