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Vikki [24]
3 years ago
14

Two airplanes are are 1600 miles apart and heading toward each other at different altitudes. The first plane is traveling north

at 620 miles per hour, while the second plane is traveling south at 780 miles per hour. When will the planes pass each other?
Mathematics
1 answer:
Elden [556K]3 years ago
6 0

The planes will pass each other in 1.14 hours.

Why?

To solve the problem, we must remember that since both planes are heading toward each other, the speed to the calculations will be their combined speeds.

The speed will be:

Speed=PlaneA+PlaneB\\\\Speed=620mph+780mph=1400mph

Now, calculating the time, we have:

x=v*t\\\\1600mi=1400mph*t\\\\t=\frac{1600mi}{1400mph}=1.14hours

Hence, the planes will pass each other in 1.14 hours.

Have a nice day!

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155 = 2x -15
170 = 2x
85 = x

She had 85 when she first started. 

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Isabella is cooking a meal for 14 friends. Each person gets
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I’m pretty sure that says 6 cups of vegetables so 84 cups but if you meant 1/6 of a cup then 7/3 cups or 2/1/3
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5 0
2 years ago
Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the
kodGreya [7K]

Answer:

  • p=0.7103 (4-game series)
  • p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters  n=4, p=0.6:

P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\  i=4,5,6,7

#We find probabilities for the different values of i:

P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659

Hence, probability of the stronger team winning overall is:

=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103

#Define Y as the random variable for winning 2/3 games.:

P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

8 0
2 years ago
A group of 32 players forms 4 volleyball teams if there are 96 players how many teams can be formed
kotegsom [21]

Answer:

12 teams

Step-by-step explanation:

We know that 38 players can fit into 4 groups, 8 times ...

32 divide 8 = 4

We have the number with 96, and we need to find the groups

we do the same as done with the first one...

because 32 divided by 8 is 4

we do

96 divide 8 = 12

aswell

<h2><u><em>hope this helped : )</em></u></h2>
6 0
3 years ago
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