Answer:
$68.27 for 1 hour
Step-by-step explanation:
$320.28 - $115.46 = $204.82
$204.82 / 3 hours of labour = $68.27 for 1 hour
The given equation of parabola is

Which can also be written as

Here vertex (h,k) is (1,2)
And value of a is

Formula of focus is

Substituting the values of h,k and a, we will get

Therefore the correct option is the last option .
Statistics informed decisions using data 5E
Answer:
The sample statistics follows a standard normal distribution since the sample size are large enough.
Step-by-step explanation:
Given that:
<u>First population:</u>
Sample size
= 49
Population standard deviation
= 3
Sample mean
= 10
<u>Second population:</u>
Sample size
= 64
Population standard deviation
= 4
Sample mean
= 12
The sample statistics follows a standard normal distribution since the sample size are large enough.
The null and alternative hypotheses can be computed as:


Level of significance = 0.01
Using the Z-test statistics;






Z = - 3.037
Z
- 3.04
The P-value = 2P (z < -3.04)
From the z tables
= 2 × (0.00118)
= 0.00236
Thus, since P-value is less than the level of significance, we fail to reject the null hypotheses 
Estimate of the quotient:
3 3/7 = 3+0.428571=3.428571
1 4/9 = 1+0.444444=1.444444
(3 3/7) / (1 4/9) = 3.428571 / 1.444444 = 2.373627
Estimate of the quotient: 2.373627
Exact quotient:
3 3/7=(7*3+3)/7=(21+3)/7=24/7
1 4/9=(9*1+4)/9=(9+4)/9=13/9
(3 3/7) / (1 4/9) = (24/7) / (13/9) = (24/7)*(9/13)=(24*9) / (7*13)=216/91
Exact quotient: 216 / 91 = (182+34) / 91 = 182 / 91 + 34 / 91 = 2 34/91
Exact quotient: 216/91 = 2 34/91