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Mila [183]
3 years ago
6

As a trains engineer, Erin guided the train on a 64 mile run which took 1.7 hours. She then stopped on a side rail to let a seco

nd train pass. She then continued another 80 miles, which took 1.9 hours what was the trains average speed for the entire run? There are no answer choices!
Mathematics
1 answer:
Basile [38]3 years ago
4 0
To find the rate (or speed) of an object you use the equation

Rate = Distance x Time or 

d = rt          So, just fill in the equation with the first set of numbers.
64 = r(1.7)    Then divide.
r ≈ 37.65

Then, find the second speed.
d = rt
80 = r(1.9)    And divide.
r ≈ 42. 11

Since you need to find the average speed just find the average of the two speeds. So

(42.11 + 37.65) / 2

79.76 / 2

39.88

So the average speed of the train was about 39.9 miles per hour.
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In a large population of college-educated adults, the mean IQ is 118 with a standard deviation of 20. Suppose 200 adults from th
cricket20 [7]

Answer: 0.0793

Step-by-step explanation:

Let the IQ of the educated adults be X then;

Assume X follows a normal distribution with mean 118 and standard deviation of 20.

This is a sampling question with sample size, n =200

To find the probability that the sample mean IQ is greater than 120:

P(X > 120) = 1 - P(X < 120)

Standardize the mean IQ using the sampling formula : Z = (X - μ) / σ/sqrt n

Where;  X = sample mean IQ; μ =population mean IQ; σ = population standard deviation and n = sample size

Therefore, P(X>120) = 1 - P(Z < (120 - 118)/20/sqrt 200)

                                 = 1 - P(Z< 1.41)

The P(Z<1.41) can then be obtained from the Z tables and the value is 0.9207

Thus; P(X< 120) = 1 - 0.9207

                          = 0.0793

3 0
3 years ago
An item has a listed price of $80 . if the sales tax rate is 8% , how much is the sales tax (in dollars)?
Arlecino [84]
The sales tax is $6.40
8 0
3 years ago
Read 2 more answers
What is the x-value in the solution to this system of linear equations? 2x − y = 11 x + 3y = −5
Setler [38]

Answer:

x = 4

Step-by-step explanation:

Given the 2 equations

2x - y = 11 → (1)

x + 3y = - 5 → (2)

Multiply (1) by 3 and add to (2) to eliminate the y- term

6x - 3y = 33 → (3)

Add (2) and (3) term by term to eliminate y, that is

7x = 28 ( divide both sides by 7 )

x = 4

4 0
3 years ago
(15 pts) 4. Find the solution of the following initial value problem: y"-10y'+25y = 0 with y(0) = 3 and y'(0) = 13
jolli1 [7]

Answer:

y(x)=3e^{5x}-2xe^{5x}

Step-by-step explanation:

The given differential equation is y''-10y'+25y=0

The characteristics equation is given by

r^2-10r+25=0

Finding the values of r

r^2-5r-5r+25=0\\\\r(r-5)-5(r-5)=0\\\\(r-5)(r-5)=0\\\\r_{1,2}=5

We got a repeated roots. Hence, the solution of the differential equation is given by

y(x)=c_1e^{5x}+c_2xe^{5x}...(i)

On differentiating, we get

y'(x)=5c_1e^{5x}+5c_2xe^{5x}+c_2e^{5x}...(ii)

Apply the initial condition y (0)= 3 in equation (i)

3=c_1e^{0}+0\\\\c_1=3

Now, apply the initial condition y' (0)= 13 in equation (ii)

13=5(3)e^{0}+0+c_2e^{0}\\\\13=15+c_2\\\\c_2=-2

Therefore, the solution of the differential equation is

y(x)=3e^{5x}-2xe^{5x}

5 0
3 years ago
Jeremy ran 1500 meters in 4 minutes, 45 seconds. How fast did he run in meters per second?
soldi70 [24.7K]

Answer:

5.26 meters per second

7 0
3 years ago
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