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Alinara [238K]
3 years ago
7

Two trains leave stations 182 miles apart at the same time and travel toward each other. One train travels at 55 miles per hour

while the other travels at 75 miles per hour. How long will it take for the two trains to meet? ...?
Mathematics
1 answer:
meriva3 years ago
4 0
Distance between the two stations from where the two trains leave = 182 miles
Speed of one train (S1) = 55 miles/hour
Speed of the other train = 75 miles/hour
Now
Time taken by the two trains to meet = Distance/(S1 + S2)
                                                           = 182/(55 + 75)
                                                           = 182/130
                                                           = 1.4 hours
From the above deduction, it can be concluded that the two trains will meet each other after 1.4 hours. I hope that the procedure is simple enough for you to understand.
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The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with a mean of 6.7
hram777 [196]
We need to work out the z-value of each question to work out the probability

Question a)

We have
X = 5 minutes
The mean, μ = 6.7 minutes
Standard deviation, σ = 2.2 minutes
z-score = (X - μ) / σ = (5 - 6.7) / 2.2 = -0.77

We want to find the probability of z < -0.77 so we read the z-table for the value of z on the left of -0.77 we have the probability P(z< -0.77) = 0.2206

The table is attached in picture 1 below

The probability of assembly time less than 5 minutes is 0.2206 = 22.06%

Question b)

z-score = (10-5) / 2.2 = 2.27

Reading the z-table for P(z<2.27) = 0.9884
The table reading is shown in the second picture below

The probability the assembly time will be less than 10 minutes is 0.9884

We can use this information to find the probability of the assembly time will be more than 10 minutes  = 1 - 0.9884 = 0.0116 = 1.16%

Question c)

The value of z between 5 minutes and 10 minutes is

P(-0.77<z<2.27) = P(z<2.27) - P(z< -0.77)
P(-0.77<z<2.27) = 0.9884 - 0.2206 = 0.7678 = 76.78%


6 0
3 years ago
-7(-7-9)-7v<br> what is the answer
liraira [26]

Answer:

112-7v

Step-by-step explanation:

4 0
3 years ago
I need some help please! ^_^
Degger [83]
Perpendicular lines will have negative reciprocal slopes. What that means is if u have a slope of 1/2, to find the negative reciprocal, flip the slope and change the sign.......flip 2/1, change the sign -2/1 or just -2. So the negative reciprocal for the slope of 1/2 is -2. 

A. y = 1/5x + 3.....slope here is 1/5, so for a perpendicular line, u r gonna need an equation with the slope of -5.....and that would be : y + 3 = -5(x + 2).

B. Parallel lines will have the same slope. y = 5x - 2...the slope here is 5...so a parallel line will have a slope of 5.

y = mx + b
slope(m) = 5
(8,-2)...x = 8 and y = -2
now we sub, we r looking for b, the y intercept
-2 = 5(8) + b
-2 = 40 + b
-2 - 40 = b
-42 = b

so ur parallel equation is : y = 5x -42
7 0
3 years ago
12,00 equals how many hundreds?
shtirl [24]

Answer:

12

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
you have $18 to buy peppers. peppers cost $1.50 each. write and solve an inequality that represents the number of peppers you ca
Nezavi [6.7K]

At most 12 peppers can be bought with $18

Step-by-step explanation:

Given

Total amount for peppers = $18

Cost per pepper = $1.50

Let p be the number of peppers that can be bought from $18 at $1.50 per pepper

So,

1.50p\leq 18

Dividing both sides by 1.50

\frac{1.50p}{1.50}\leq \frac{18}{1.50}\\p\leq 12

Hence,

At most 12 peppers can be bought with $18

Keywords: Inequality, solution

Learn more about inequalities at:

  • brainly.com/question/11286417
  • brainly.com/question/12884373

#LearnwithBrainly

5 0
3 years ago
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