Answer:
7.38
Step-by-step explanation:
The median will stay the same but the mean will increase
a) 470 is still the smallest number in the sequence, so it doesn't have any effect
b) Mean is the same thing as average. By increasing the number from 454 to 470, you're increasing the mean by a value of 16/8 or 2 because you have 8 terms and the total value increased by 16.
Answer:
A. Venn Diagrams compare similarities and differences between topics.
Answer:
c
Step-by-step explanation:
Answer:
9.14
Step-by-step explanation:
The family vehicle can go 300 miles on a tank of gas worth $40.
1. Find the cost of the gas in two options for Day 1.
First option:
300 miles - $40
304 miles - $x
Write a proportion:
\begin{lgathered}\dfrac{300}{304}=\dfrac{40}{x}\\ \\300x=304\cdot 40\\ \\30x=304\cdot 4\\ \\30x=1,216\\ \\x=\dfrac{1,216}{30}=\dfrac{608}{15}\approx 40.53\end{lgathered}
304
300
=
x
40
300x=304⋅40
30x=304⋅4
30x=1,216
x=
30
1,216
=
15
608
≈40.53
Second option:
300 miles - $40
260 miles - $y
Write a proportion:
\begin{lgathered}\dfrac{300}{260}=\dfrac{40}{y}\\ \\300y=260\cdot 40\\ \\3y=26\cdot 4\\ \\3y=104\\ \\=xy\dfrac{104}{3}\approx 34.67\end{lgathered}
260
300
=
y
40
300y=260⋅40
3y=26⋅4
3y=104
=xy
3
104
≈34.67
2. Calculate the total price:
First option:
Gas cost = $40.53
National park = $25
Lakes - free
Total cost = $65.53
Second option:
Gas cost = $34.67
Water park for 4 persons =4\cdot \$5=\$20=4⋅$5=$20
Amusement park for 4 persons =4\cdot \$5=\$20=4⋅$5=$20
Total cost =$74.67
Difference = 74.67 -74.67−65.53 = $9.14