MATHEMATICS COLLEGE

PLEASE HELP!!!Write equations for the horizontal and vertical lines passing through the point (4, -6)

Answers

Answer 1

Answer:

Answer:

So you have the vertical line passing through is x=4 and the horizontal line passing through is y=-6.

Step-by-step explanation:

In general the horizontal line passing through (a,b) is y=b and the vertical line passing through (a,b) is x=a.

So you have the vertical line passing through is x=4 and the horizontal line passing through is y=-6.

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Graph the line 3x + 6y =12.

Answers

Answer: Slope=− 2.000/1.000 =−0.500

x−intercept= 1/4 =4.00000

y−intercept= 2/4 =2

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x+6*y-(12)=0

Pull out like factors : 3x + 6y - 12 = 3 • (x + 2y - 4)

Solve : 3 = 0

A a non-zero constant never equals zero.

Solve x+2y-4 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+2y-4 = 0 and calculate its properties

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000

y-intercept = 4/2 = 2

When y = 0 the value of x is 4/1 Our line therefore "cuts" the x axis at x= 4.00000

x-intercept = 4/1 = 4.00000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is 1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 1.000 - 2.000 = -1.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -1.000/2.000 = -0.500

x-intercept = 4/1 = 4.00000

y-intercept = 4/2 = 2

Sleeping in college. A recent article in a college newspaper stated that college students get an average of 5.5 hrs of sleep each night. A student who was skeptical about this value decided to conduct a survey by randomly sampling 25 students. On average, the sampled students slept 6.25 hours per night. Identify which value represents the sample mean and which value represents the claimed population mean.

Answers

Answer:

Sample mean = 6.25 hours per night.

Population mean = 5.5 hrs of sleep each night.

Step-by-step explanation:

A sample mean is the mean of the sample collected. The 25 students surveyed by the student is the sample. The average sleep time derived from the sample is the sample mean.

A population mean is the mean of all the population. Here the population are college students. The population mean is the mean derived from studying the sleep duration of all the population - college students

Which property was used to simplify the expression? 3c+9+4c=3c+4c+9
distributive property
commutative property
associative property
inverse property

Answers

Answer:

commutative property

Step-by-step explanation:

Either order or way you put the numbers, it will be the same answer.

If x=2 find y 5x-y=5

Answers

Answer:

y=5

solution,

X=2

now,

$\n 5x - y = 5 \n or \: 5 * x - y = 5 \n or \: 5 * 2 - y = 5 \n or \: 10 - y = 5 \n or \: - y = 5 - 10 \nor \: - y = - 5 \n y = 5$

hopethishelps..

Goodluck on your assignment..

A quality control inspector has drawn a sample of 15 light bulbs from a recent production lot. Suppose that 60% of the bulbs in the lot are defective. What is the expected value of the number of defective bulbs in the sample

Answers

Answer:

Step-by-step explanation:

Expected number of defective is given as :

N x P = np

Where = number of the sample drawn from the production lot

P= percentage of bulbs In The lot which are defective

N = 15

P = 60% = 0.60

So when we do the multiplication,

We have:

NP = 15x0.60

= 9

So in conclusion the expected value of defective bulbs in the sample is 9.

From a group of 12 students, we want to select a random sample of 4 students to serve on a university committee. How many different random samples of 4 students can be selected?

Answers

Answer:

Step-by-step explanation:

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Gary got on the Ferris wheel at the amusement park at 2:40 P.M. It went around many times and finally let him off at 3:16 P.M. How long was Gary on the ride?

The sum of seven and 5 times a number is 48

Multiply.(2x+1)(6x2+8x+9)