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AnnZ [28]
2 years ago
14

Eitan is on a train heading west into the city while Dmitri is on a train on the adjacent track heading east, away from the city

. They start 150 miles apart. Eitan’s train is traveling at an average speed of 65 miles per hour while the average speed of Dmitri's train is 55 miles per hour. How long will it take the two trains to reach each other? How far outside the city will they be?
The time when the two trains reach each other is _____

The trains are away from the city when they reach each other________
Mathematics
2 answers:
Semmy [17]2 years ago
9 0

Answer: B and C


Step-by-step explanation:


siniylev [52]2 years ago
6 0
The time when the two trains reach each other is 1.25 hours
The trains are 68.75 away from the city when they reach each other.
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The mean of a list of 80 numbers is 230. If four numbers 145,156,210, and 255 are added, what is the mean of the list of numbers
anygoal [31]
Add 145, 156, 210. and 255 then divide by 4. The mean equals 184. 
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2 years ago
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If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it
topjm [15]

Answer:

0.64 seconds

Step-by-step explanation:

In the equation provided:

h = −16t2 + 4t + 4

h is the height of the ball and t is time. Since we want to find the time when the ball touches the floor, then height is 0. This leaves us with the equation

-16t^{2} + 4t + 4 = 0

This is a quadratic equation can be solved with the following formula:

x= \frac{-b+-\sqrt{b^{2}-4ac } }{2a}

where a=-16

b=4

c=4

Solving for t we will find two different results:

t1=\frac{-4-\sqrt{272} }{2(-16)} =0.125+0.125\sqrt{17} =0.64039t2=\frac{-4+\sqrt{272} }{2(-16)} =0.125-0.125\sqrt{17} =-0.39039

Since time can't be negative, we discard t2 and choose t1.

Since it is required to answer in the nearest hundredth, we round the result to t=0.64 seconds.

5 0
2 years ago
A local project being analyzed by PERT has 42​ activities, 13 of which are on the critical path. If the estimated time along the
ryzh [129]

Answer:

the probability that the project will be completed in 95 days or​ less, P(x ≤ 95) = 0.023

Step-by-step explanation:

This is a normal probability distribution question.

We'll need to standardize the 95 days to solve this.

The standardized score is the value minus the mean then divided by the standard deviation.

z = (x - xbar)/σ

x = 95 days

xbar = mean = 105 days

σ = standard deviation = √(variance) = √25 = 5

z = (95 - 105)/5 = - 2

To determine the probability that the project will be completed in 95 days or​ less, P(x ≤ 95) = P(z ≤ (-2))

We'll use data from the normal probability table for these probabilities

P(x ≤ 95) = P(z ≤ (-2)) = 0.02275 = 0.023

5 0
2 years ago
A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance tra
alina1380 [7]

Answer:

1.734

Step-by-step explanation:

Given that:

A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance traveled (miles).

The fitted regression is Time = −7.126 + .0214 Distance

Based on a sample size n = 20

And an Estimated standard error of the slope = 0.0053

the critical value for a right-tailed test to see if the slope is positive, using ∝ = 0.05 can be computed as follows:

Let's determine the degree of freedom df = n - 1

the degree of freedom df = 20 - 2

the degree of freedom df =  18

At the level of significance ∝ = 0.05 and degree of freedom df =  18

For a right tailed test t, the critical value from the t table is :

t_{0.05, 18} = 1.734

5 0
2 years ago
The vertex of the parabola is at (-3,-2) which of the following could be its equation
ki77a [65]
D;x=-2(y+2)^2-3 is the equation
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2 years ago
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