Kim drove 627 miles in 9.5 hours. What is

Mary was told that a line goes through the points (1, 3) and (6, -2) and has a slope of 3.

ki77a [65]

Answer:

a. The slope is incorrect

b. y = 3x, ( 0 , 0 )

c) y = 4 - x

Step-by-step explanation:

Given:-

The slope between two points (1, 3) and (6, -2) is 3.

a. Explain why the information Mary was given cannot be correct.

- The slope between two arbitrary points, ( x1 , y1 ) and (x2 , y2) is given by the following relationship:

slope = ( y2 - y1 ) / ( x2 - x1)

- Use the given points (1, 3) and (6, -2) and determine the slope:

slope = ( -2 - 3 ) / ( 6 - 1 )

slope = ( -5 ) / ( 5 )

slope = -1

- Yes, the given slope is incorrect it should be = -1

b.If the given point (1, 3) and the given slope are correct, what is the equation for the line? Give the coordinates of another point on the line

- We will assume the point (1,3) lies on line with a slope = 3.

- We will use the slope-intercept equation of line:

y = slope*x + c

Where, m : Slope

c : y-intercept

y = 3x + c

Using the given correct point to evaluate the y-intercept (c):

3 = 3*1 + c

c = 0

- The equation of line is,

y = 3x

- The origin (0,0) lies on the line y = 3x.

c. If the given points are correct for the line, what is the slope? Write an equation for the line

- We will assume the points (1, 3) and (6, -2) lies on line with a slope calculated in part (a) to be = -1.

- We will use the slope-intercept equation of line:

y = slope*x + c

Where, m : Slope

c : y-intercept

y = -x + c

Using the given points to evaluate the y-intercept (c):

3 = -1 + c

c = 4

- The equation of line is,

y = -x + 4

4 0

2 years ago

What is the GCF of x2 and x9?

zepelin [54]

Answer:

x²

Step-by-step explanation:

Given the values x² and x^9

The greatest common factor is the factors common to two or more compared values :

Factors of :

x² = x * x

x^9 = x * x * x * x * x * x * x * x * x

Multiplying the Factors in both are : x * x = x²

Similarly :

___|x² | x^9

_ x | x | x^8

_ x | 1 | x^7

There is no factor which can reduce both further simultaneously, Hence the G. C. F = (x * x) = x²

3 0

1 year ago

Below are the data collected from two random samples of 500 American adults on the number of hours they work per day (rounded to

katen-ka-za [31]

The mean is just the arithmetic average...

Sample A=8.1

Sample B=8.11

Both Samples=8.105

So Ryan would be closer to being correct given either of or both samples.

6 0

2 years ago

Read 2 more answers

The Masons are driving home from a trip. The function graphed models the Masons' distance from home, y, in miles, after x hours

Paha777 [63]

You have everything right. If you look, it says Y is distance from home, and X is the time they spent driving.
I took the test and made a 100%

5 0

1 year ago

Read 2 more answers

the distribution of scores on a recent test closely followed a normal distribution wotb a mean of 22 and a standard deviation of

soldi70 [24.7K]

Answer:

1) 22.66%

2) 20

Step-by-step explanation:

The scores of a test are normally distributed.

Mean of the test scores = u = 22

Standard Deviation = $\sigma$ = 4

Part 1) Proportion of students who scored atleast 25 points

Since, the test scores are normally distributed we can use z scores to find this proportion.

We need to find proportion of students with atleast 25 scores. In other words we can write, we have to find:

P(X ≥ 25)

We can convert this value to z score and use z table to find the required proportion.

The formula to calculate the z score is:

$z=\frac{x-u}{\sigma}$

Using the values, we get:

$z=\frac{25-22}{4}=0.75$

So,

P(X ≥ 25) is equivalent to P(z ≥ 0.75)

Using the z table we can find the probability of z score being greater than or equal to 0.75, which comes out to be 0.2266

Since,

P(X ≥ 25) = P(z ≥ 0.75), we can conclude:

The proportion of students with atleast 25 points on the test is 0.2266 or 22.66%

Part 2) 31st percentile of the test scores

31st percentile means 31%(0.31) of the students have scores less than this value.

This question can also be done using z score. We can find the z score representing the 31st percentile for a normal distribution and then convert that z score to equivalent test score.

Using the z table, the z score for 31st percentile comes out to be:

z = -0.496

Now, we have the z scores, we can use this in the formula to calculate the value of x, the equivalent points on the test scores.

Using the values, we get:

$-0.496=\frac{x-22}{4}\\\\ x=4(-0.496) + 22\\\\ x=20.02\\\\ x \approx 20$

Thus, a test score of 20 represent the 31st percentile of the distribution.

3 0

2 years ago