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tresset_1 [31]
3 years ago
6

A train leaves L.A. at 2pm and heads north at 50mph. If the next train leaves the station 3 hours later and heads north at 60 mp

h, what time will the second train catch up with the first?
Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0

Answer:

  • 8 AM

Step-by-step explanation:

  • Start time = 2 PM
  • Speed of the first train = 50 mph
  • Speed of the second train = 60 mph
  • Trains head same direction
  • The second train spends 3 hour less time than the first but both take same distance

<u>Let the time in travel for the first train be x, then we have equation for distance:</u>

  • 50x = 60(x - 3)
  • 50x = 60x - 180
  • 60x - 50x = 180
  • 10x = 180
  • x = 18 hours

<u>Time when the second train caches up the first one:</u>

  • 2 PM + 18 hours = 8 AM next day
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Mateo teaches a continuing education class at the library on tuesday nights. he estimates that 75% of his students are satisfied
vredina [299]

The computed value must closely match the real value for a model to be considered valid. If the percentage of pleased or very satisfied students remains close to 75% after Mateo surveys additional students, Mateo's model is still viable. The model is faulty if the opposite is true.

<h3>How will mateo know whether his model is valid or not?</h3>

In general, a valid model is one whose estimated value is close to the real value. This kind of model is considered to be accurate. It must be somewhat near to the real value if it doesn't resemble the real value.

If the findings of the survey are sufficiently similar to one another, then the model may be considered valid.

P1 equals 75%, which is the real assessment of the number of happy pupils

P2 is 70 percent; this represents the second assessment of happy pupils

In conclusion,  The estimated value of a model has to be somewhat close to the real value for the model to be considered valid. If the number of students who are either pleased or extremely satisfied remains close to 75 percent following Mateo's survey of more students, then Mateo's model is likely accurate. In any other scenario, the model cannot be trusted.

Read more about probability

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7 0
2 years ago
What is the solution for: 10n^2+n^2+16
ivanzaharov [21]

The solution is n= <u>+</u> 4i/√11

Step-by-step explanation:

step 1: 10n^2+n^2+16=0

step 2: 11n^2+16=0

step 3: 11n^2= -16

step 4: n^2= -16/11

step 5: taking square root on both sides,

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3 years ago
In a poll, 6 out of 13 children said they read every night before bed, whereas 54% of the adults said they read every night befo
Tpy6a [65]
To answer this question you must find the percentage of the children that read before bed and compare it to the adults bag read before bed’s percentage.
To do this, start by dividing the number of children that read before bed by the total number of children surveyed.
This leaves you with:
6/13= 0.4615

To find the actual percentage, multiply this result by 100.
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This percentage rounded is 46%

So, now you can compare the percentages. The percentage of children that read before bed is 46% and the percentage of adults that read before bed is 54%. So, the group with the greatest percentage was the adults.

I hope this helps!
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Answer:

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Step-by-step explanation:

70=2.1n+3.7

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66.3/2.1=n

31.57=n

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