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zzz [600]
3 years ago
8

Two trains leave Stations 396 miles apart at the same time and travel towards each other. One train travels at 95 mph while othe

r travels 85 mph. How long will it take two trains to meet?
Mathematics
1 answer:
PolarNik [594]3 years ago
8 0

It will take 2.2 hours for the trains to meet.

Step-by-step explanation:

Given,

Distance between two trains = 396 miles

Speed of one train = 95 mph

Speed of other train = 85 mph

Combined speed of trains = 95+85 = 180 mph

Distance = Speed * Time

Time = \frac{Distance}{Speed}

Time = \frac{396}{180}

Time = 2.2 hours

It will take 2.2 hours for the trains to meet.

Keywords: speed, distance

Learn more about distance at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

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a baseball league finds the speeds of pitches are normally distributed, with a mean of 89 mph and a standard deviation of 2.4 mp
olya-2409 [2.1K]

Answer:

-1.58

Step-by-step explanation:

We have that the mean (m) is equal to 89 and the standard deviation (sd) 2.4

They ask us for P (x <85.2)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd)

We have all these values, replacing we have:

z = (85.2 - 89) / (2.4)

z = -1.58

8 0
3 years ago
Twenty-four minus three times an integer,x, is less than x minus four
Inga [223]
The answer is:
24 - 3x < x - 4
8 0
3 years ago
If the mean (average) of five consecutive numbers is 21, the smallest of three five numbers will be...
Vitek1552 [10]
Consecutive numbers are 1 apart
they are
x,x+1,x+2,x+3,x+4

average is 21
(x+x+1+x+2+x+3+x+4)/5=21
(5x+10)/5=21
times both sides by 5
5x+10=105
minus 10 both sides
5x=95
divide both sides by 5
x=19
x+1=20
x+2=21
x+3=22
x+4=23


the smallest number is 19
7 0
3 years ago
26. The cost of a television set has increased continuously by 2%. In 1999, the average
RUDIKE [14]

Answer:

<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Cost of the TV set in 1999 = US$ 400

Annual increase rate = 2% = 0.02

2. Write an exponential model to represent this data.

Cost after n years = Cost in 1999 * (1 + r)ⁿ

where r = 0.02 and n = the number of years since 1999

Replacing with the real values for 2020, we have:

Cost after 21 years = 400 * (1 + 0.02)²¹

Cost after 21 years = 400 * 1.5157

Cost after 21 years = $ 606.28

The TV set costs $ 606.28 in 2020.

<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>

8 0
3 years ago
I’ll give Brainliest!!
Gnoma [55]
Answer: 1.5

Step-by-step explanation: The difference between the 2nd And 4th is 7. Divide by 2 to get 3.5. Add 3.5 to f(2) to getf(3)
The difference between f(1) and f(2) will be 3.5 and that's 5-3.5 =1.5
F(5) is 15.5 f(6) is 19

7 0
2 years ago
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