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3 years ago

A train heads south out of Bloomington an hour after a northbound train

Mathematics

1 answer:

ahrayia [7]3 years ago

7 0

9514 1404 393

Answer:

northbound: 2.5 hours
southbound: 1.5 hours

Step-by-step explanation:

When the second train leaves the station, the trains are already 63 miles apart. The rate of increase of their separation is (57 +63) = 120 miles per hour. The remaining 243-63 = 180 miles of separation will be achieved in ...

(180 mi)/(120 mi/h) = 1.5 h

The northbound train will have traveled 2.5 hours; the southbound train will have traveled 1.5 hours when the trains are 243 miles apart.

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Look at this diagram:

vodka [1.7K]

Answer:

Angle e = Angle a
Angle f = Angle c
Angle a, b and c add upto 180° , as they are on straight line.
therefore Angle e , f and b also add upto 180°

i hope it helped 

7 0

3 years ago

Can someone help me please explanation needed as well

erik [133]

Answer:

$5.50

Step-by-step explanation:

k lets say x=movies while y=games

so, lets make a system of equations

2x+3y=14.50

3x+y=9.50

you can do substitution or elimination here it doesn't matter but you get x=2; y=3.5

movies cost 2 bucks, while games cost $3.50

so total is 3.50+2

if you still want instruction on how to solve a system of equations leave a comment and i'll help

4 0

3 years ago

If x is less than or equal to -4, then -4 is a solution. True or false

alexandr1967 [171]

Answer:true

Step-by-step explanation: less than or "equal" too

7 0

3 years ago

Read 2 more answers

The average outstanding bill for delinquent customer accounts for a national department store chain is $187.50 with standard dev

SpyIntel [72]

Answer:

Probability that the mean outstanding bill is over $200 is 0.0526.

Step-by-step explanation:

We are given that the average outstanding bill for delinquent customer accounts for a national department store chain is $187.50 with standard deviation $54.50.

Also, a random sample of 50 delinquent accounts is selected.

Firstly, Let $\bar X$ = mean outstanding bill

The z score probability distribution for is given by;

Z = $\frac{ \bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = average outstanding bill = $187.50

$\sigma$ = standard deviation = $54.50

n = sample of delinquent accounts = 50

Probability that the mean outstanding bill is over $200 is given by = P( $\bar X$ > $200)

P( $\bar X$ > 200) = P( $\frac{ \bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{ 200-187.50}{\frac{54.50}{\sqrt{50} } }$ ) = P(Z > 1.62) = 1 - P(Z $\leq$ 1.62)