Answer: Downhill:10mph Uphill:5mph
Step-by-step explanation:
We are looking for Dennis’s downhill speed.
Let
r=
Dennis’s downhill speed.
His uphill speed is
5
miles per hour slower.
Let
r−5=
Dennis’s uphill speed.
Enter the rates into the chart. The distance is the same in both directions,
20
miles.
Since
D=rt
, we solve for
t
and get
t=
D
r
.
We divide the distance by the rate in each row and place the expression in the time column.
Rate
×
Time
=
Distance
Downhill
r
20
r
20
Uphill
r−5
20
r−5
20
Write a word sentence about the time.
The total time traveled was
6
hours.
Translate the sentence to get the equation.
20
r
+
20
r−5
=6
Solve.
20(r−5)+20(r)
40r−100
0
0
0
=
=
=
=
=
6(r)(r−5)
6
r
2
−30r
6
r
2
−70r+100
2(3
r
2
−35r+50)
2(3r−5)(r−10)
Use the Zero Product Property.
(r−10)=0
r=10
(3r−5)=0
r=
5
3
The solution
5
3
is unreasonable because
5
3
−5=−
10
3
and his uphill speed cannot be negative. So, Dennis's downhill speed is
10
mph and his uphill speed is
10−5=5
mph.
Check. Is
10
mph a reasonable speed for biking downhill? Yes.
Downhill:
10 mph
5 mph⋅
20 miles
5 mph
=20 miles
Uphill:
10−5=5 mph
(10−5) mph⋅
20 miles
10−5 mph
=20 miles
The total time traveled was
6
hours.
Dennis’ downhill speed was
10
mph and his uphill speed was
5
mph.
Answer:
215 i guess
Step-by-step explanation:
Answer:
The margin of error (E) 
Step-by-step explanation:
Given,
mean 
standard deviation 
sample size 
Critical value ![=\frac{z_\alpha}{2}\quad \quad\quad[\because\;\alpha=1-\text{confidence interval}]](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bz_%5Calpha%7D%7B2%7D%5Cquad%20%5Cquad%5Cquad%5B%5Cbecause%5C%3B%5Calpha%3D1-%5Ctext%7Bconfidence%20interval%7D%5D)
Critical value 
The margin of error (E) 
Hence, The margin of error (E)
Complete question is attached in below.
The percent change in attendance, relative to last year's show is a 5% increase.
<h3>What is a percentage? </h3>
A Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred.
<h3>What is the percentage change in attendance? </h3>
The value of the percentage change in attendance can be determined by subtracting the number of people in this year's show from the number of people at last year's show. The result would be divided by the number of people at last year's show and multiplied by 100.
[(16,800 - 16,000)/16,000] x 100 = 5%
To learn more about percentages, please check: brainly.com/question/25764815
Answer:
(-2,6) is the codinates of S
