MATHEMATICS COLLEGE

A train leaves the station at time t=0. Traveling at a constant​ speed, the train travels 280 kilometers in 2 hours. Answer parts a and b.a. Write a function that relates the distance traveled d to the time t.

The function that relates the distance traveled d to the time t is

Answers

Answer 1
Answer:

The function that relates the distance travelled d to the time t is d = f(t) = 140t.

What is Speed?

Speed is a scalar quantity which measures the rate of change of the position of an object without measuring on the direction.

In other words, it can be defined as the ratio of distance covered by an object to the time taken by the object to cover the distance.

The train leaves the station at time t = 0.

Distance travelled by the train = 280 kilometers

Time taken to travel the distance = 2 hours

Speed = Distance / Time

           = 280 / 2

           = 140 kilometers/ hour.

Given that train travels at a constant speed.

So for any distance 'd' and the time taken to travel the distance 't',

d / t = 140

d = 140t

d = f(t) = 140t

Hence the distance travelled by the train can be related to the time taken by the function, d = f(t) = 140t

To learn more about Speed, click :

brainly.com/question/28224010

#SPJ5
Answer 2
Answer:

Answer:

d = 140t

Step-by-step explanation:

Related Questions

I travelled at 60km/hour and took 2hours for a certain journey.How long would it have taken me if I had travelled at 50km/hour?​
Please help help help
Which statements are true about triangle XYZ? Select three options.XY measures units.YZ measures units.ZX measures units.XYZ is a right triangle.XYZ is a scalene triangle.
According to a medical journal, the average daily U.S. diet contains 6,000 mg of sodium. How many grams is this?
two angles are supplementary. One of the angles has a measure of 60 degrees. What is the measure of the other angle?

Evaluate the expression if b = 5 and c = -4.
3c - 2b

Answers

Answer:

3(-4) - 2(5) = -12 - 10 = -22

Billy wants to buy 657 mugs. The mugs are sold for a price of 3 for $4. How much must Billy pay for all the mugs?

Answers

(657mugs)/(3) = 219
219 * $4 = $876
875 is the answer to your question so have a nice day

The value z is directly proportional to c. When z = 20, c = 10. Find an equation relating z and c. *

Answers

Answer:

a) The equation of Z and C is Z =K C

b) K = 2

Step-by-step explanation:

Explanation:-

Given data Z is directly proportional to C

              ⇒   Z ∝ C

               ⇒  Z = K C

The equation of relating Z and C    

               Z = K C

Given Z = 20 and C =10

              20 = K ( 10)

          ⇒ K = 2

A pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%. It is known that from a particular production run impurity concentrations follow a normal distribution with a standard deviation of 0.4%. A random sample of 64 pills from a production run was checked, and the sample mean impurity concentration was found to be 3.07%. Testing at the 5% level the null hypothesis that the population mean impurity concentration is 3% against the alternative that it is more than 3%.a. Calculate the p-value for this test.
b. Find the p-value for this test and draw your conclusion.
c. Suppose that the alternative hypothesis in part b had been two-sided rather than one-sided. Conduct your test using either the critical value or the p-value approach.

Answers

The p-value for the given test is 0.0901.

Given that, a pharmaceutical manufacturer is concerned that the impurity concentration in pills should not exceed 3%.

What is a standard deviation?

Standard deviation is the degree of dispersion or the scatter of the data points relative to its mean, in descriptive statistics.

Given, Mean = 3.07, μ=3%, σ =0.4% and n=64.

Hypothesis test H_(0);μ=3 and H_(1);μ>3

We need to test the null hypothesis against the alternative hypothesis, we reject the null hypothesis and accept the alternative hypothesis.

When x>x critical

x critical = μ+Z+σ

Z = (x-μ)/(σ/√n)

= (3.07-3)/(0.4/√64)

= (0.07)/0.05

= 1.4

α = 5 and z_{0.05= 1.645

If Z>Z_{0.05

1.4 > 1.645

Therefore, we do not reject null hypothesis at 5% significant level.

There is sufficient evidence that the mean impurity in concentration pills is 3% or less than 3%.

p-value

p−value=P(Z>1.4)

=1−P(Z<1.4)

=1−0.90988

=0.0901

Therefore, the p-value for the given test is 0.0901.

To learn more about the standard deviation visit:

brainly.com/question/14747159.

#SPJ2

Answer:

c

Step-by-step explanation:

Marl me as brainliest answer c

How can you solve linear equations by combining like terms?

Answers

Answer: In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz² and −5xyz² are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all constant terms are like terms.

I HOPE THIS HELPED ! :) mark me brainlist pls

Answer:

by combining them like the ordinary like ordinary integers.

Step-by-step explanation:

For example we have

8x + 4y = 3x - 6

you will bring 3x to the left so it will become -3x

8x - 3x + 4y = -6

then combine like terms

there you have

5x + 4y = -6

The given:

8x + 4y = 3x - 6

8x - 3x + 4y = -6

5x + 4y = -6

answer for the example: 5x + 4y = -6

It took Fred 12 hours to travel over pack ice from one town to another town 360 miles away. During the return journey it took him 15 minutes

Answers

Step-by-step explanation:

what is your question please
Other Questions
Which functions have a maximum value greater than the maximum of the function g(x) = –(x + 3)2 – 4? Check all that apply. f(x) = –(x + 1)2 – 2 f(x) = –|x + 4| – 5 f(x) = –|2x| + 3
Explain how you know 437,160 is greater than 43,716
Solve graphically, 2x^2+2x-4=0
A telephone company charges 50 cents for along distance call for the first two minutes, and 30 cents for each additional minute. Find the cost of a 15-minute call.