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3 years ago

The points (0,2) and (1,5) are on a line which of these points is on the same line

Mathematics

1 answer:

katrin [286]3 years ago

6 0

Answer:

y = 3x + 2

Step-by-step explanation:

The equation for two points on a line is generated from the straight line equation y = mx + b ---------------- eqn (i)

where m, the slope = (y2 - y1) / (x2 - x1)

therefore for (0,2) and (1,5) m = (5 - 2)/(1 - 0) = 3

This implies that eqn (i) can be rewritten as:

y = 3x + b ------------------- eqn (ii)

pickintg the point (0,2) and substituting into eqn (ii)

2 = 3(0) + b

this implies that b = 2

for confirmation with (1,5)

5 = 3(1) + b

b = 5 - 3 = 2

hence m = 3, b = 2

the equation is y = 3x + 2

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alexandr1967 [171]

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Answer:

9n^4

Step-by-step explanation:

The divisor and quotient can be interchanged to find the divisor:

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3 years ago

The average fuel efficiency of U.S. light vehicles for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and

statuscvo [17]

Answer:

1) The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341.

2) between 20 and 25 --> 21-25/2.9 = -1.38

Step-by-step explanation:

Problem #1:

Using the z-score formula, z = (x-μ)/σ/n, where x is the raw score = 20 mpg,μ is the population mean = 21 mpg , σ is the population standard deviation = 2.9, n = random number of samples.

= z = 20 - 21/2.9/√25
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Problem #2:

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2 years ago

If f(x) = 4(3x - 5), find f^-1(x)

Sloan [31]

Answer:

The answer is A.

Step-by-step explanation:

Lets call f(x)=y, so y= 4*(3*x-5), we want to find 'x', using 'y' as a the variable.

$y=12x-20\\ y+20=12x\\ x=\frac{y+20}{12}$

Now lets change the name of 'y' to 'x', and 'x' to f^-1(x).

f-1(x) = (x+20)/12

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3 years ago

Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of minutes. T

Sergio [31]

No, we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.

Given mean of 15.5 minutes , standard deviation of 1.7 minutes, sample size of 90 and sample mean of 15.4 minutes.

We can do the following study for conclusion:

Firstly the null hypothesis is

$H_{0}: x=15.5$

The alternate hypothesis is

$H_{1}: x < 15.5$

since the value is less than this is a one tailed test.

Z=x bar-x/d/ $\sqrt{n}$

where x is sample mean and d is standard deviation.

Z=15.4-15.5/1.7/ $\sqrt{90}$

=-0.1/1.7/9.4868

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Critical value of Z at 0.1 level of significance

Z=-1.28

We fails to reject the null hypothesis since -0.560>-1,28

Hence we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.

Learn more about hypothesis at brainly.com/question/11555274

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Question is incomplete. It should include:

mean of 15.5 minutes ,

standard deviation of 1.7 minutes,

sample size of 90

and sample mean of 15.4 minutes.

5 0

1 year ago