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ella [17]
3 years ago
10

the time it takes to fly from los angeles to new york varies inversely as the speed of the plane. if the trip takes 6 hours at 9

00 km/h,how long would it take at 800 km/h
Mathematics
1 answer:
natima [27]3 years ago
7 0
Inverse variation means y=k/x  (direct variation is y=kx) so we can use the info given to find the constant k

y=k/x

6=k/900

k=6(900)

k=5400 so the equation is:

y=5400/x  or more accurately for this problem

t(v)=5400/v  then:

t(800)=5400/800

t(800)=6.75 hours
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y=-3x+4

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it's negative bc the slope is going from left to right. you just have to do rise over run to find the slope.

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3 years ago
4/r ​ = 5/7 need help please
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5r= 28

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Suppose the amount of chickens varies directly with the pounds of corn needed. Billy
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4 0
2 years ago
A plane traveled 360 miles each way to Athens and back. The trip there was with the wind. It took 3 hours. The trip back was int
defon

Answer:

S=32.5

W=97.5

Step-by-step explanation:

S=speed of plane in still air

W=speed of wind

-----------------------------------------

3(S+W)=130

6(S-W)=130

-----------------------------------------

S+W=43.33333...

S-W=21.66666...

2S=64.999...

S=32.5(simplified)

-----------------------------------------

32.5+W=130

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-----------------------------------------

5 0
3 years ago
Two groups of students were asked how many hours they spent reading each day. The table below shows the numbers for each group:
marta [7]

Solution:

Data represented as number of hours spent in studying by Group A Students:

 1,2,1,1,3,3,2,2,3

Arranging it in ascending order: 1,1,1 ,2, 2, 2, 3, 3, 3,

As number of terms is odd, The median will be middle value of observation.Which is 2.

The Data arranged in ascending order are , (1,1,1,2),2(2,3,3,3).

Median of (1,1,1,2) = Q_{1}=1

Median of (2,3,3,3)=Q_{3}=3

D_{1}=Interquartile Range =Q_{3}-Q_{1}=3-1=2

For Data Set 2,

The Data for group B students are:  3   2 3 2 2 2 1 1 2

Arranging in ascending order: 1,1,2,2,2,2,2,3,3

total number of observation = 9

Median = 2

Arranging the data as : (1,1,2,2) 2,(2,2,3,3)

Median of (1,1,2,2)= Number of observation is 4 which is even , so Median=Q_{1} =  \frac{1+2}{2}=\frac{3}{2}

Median of (2,2,3,3)=Q_{3}= \frac{3+2}{2}=\frac{5}{2}

S=Interquartile Range = Q_{3}-Q_{1}=\frac{5}{2}-\frac{3}{2}=1

D_{1}= S + 1

Interquartile range for Group A Students =Interquartile range for Group B students + 1

Option (D) The interquartile range for Group A employees is 1 more than the interquartile range for Group B students is true.

8 0
3 years ago
Read 2 more answers
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