divide the distance ( 100 miles) by the speed ( 22 mph) to get the time
100/22 = 4.545454 hours (Round to 4.5 hours ?)
if you need hours and minutes multiply 0.545454 by 60 to get the minutes
4 hours 32.7 ( round to 33) 4 hours and 33 minutes
Check the picture below. So let's use those two points on the line.
bearing in mind that the standard form is also a general form.
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
For these questions you’re distributing.
When multiplying exponents it’s quite simple
(x)(x)= x^2
(x^3)(x^3)= x^6
Raising a function with an exponent with another exponent
(x^4)^4 is x^16
So when two functions to a power are multiplied the exponents add. Then a function with an exponent is raised to another exponent, the exponents multiply.
b. 15h^2-10h
c. 12p^4-15pm
d. 12h^3+8h^2g
e. h^4+7h
Answer:
The 95% confidence interval for the difference of the hours worked is [-0.052 , 0.0012]
Step-by-step explanation:
Formula for Confidence interval based on difference =
p1 - p2 ± z × √[p1(1 - p1)/n1] + [p2(1 - p2)/n2]
p1 = proportion for the first group = x/n
= 8.5/10.2
= 0.8333333333
≈ 0.83
n1 = 1000
p2 = proportion for the second group = 6.9/8.1
= 0.8518518519
≈ 0.85
n2 = 1000
Confidence Interval = p1 - p2 ± z × √[p1(1 - p1)/n1] + [p2(1 - p2)/n2]
= 0.83 - 0.85 ± 1.96 √[0.83(1 - 0.83)/1000] + [0.85(1 - 0.85)/1000]
= -0.02 ± 1.96 × √0.83 × 0.17/1000 + 0.85 × 0.15/1000
= -0.02 ± 1.96 × √0.0001411 + 0.0001275
= -0.02 ± 1.96 × √0.0002686
= -0.02 ± 1.96 × 0.0163890207
= -0.02 ± 0.0321224806
-0.02 - 0.0321224806
= -0.0521224806
≈ -0.052
-0.02 + 0.0321224806
= 0.0121224806
≈ 0.012
Therefore, the 95% confidence interval for the difference of the hours worked is [-0.052 , 0.0012]