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3 years ago

The equation y=ax describes the graph of a line. If the value of A is megative the line:

Mathematics

2 answers:

Pachacha [2.7K]3 years ago

7 0

Go up and to the left

ira [324]3 years ago

4 0

C. It goes up and to the left as y keeps increasing in a positive sense as x keep getting more negative. (and it also goes down and to the right because y keeps decreasing as x increases) and <span>Because, the function will have a negative slope y = -x</span>

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Does this graph represent a function? Why

Sladkaya [172]

C. Yes because it passes the vertical line test

3 0

2 years ago

Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of

Olin [163]

Answer:

$P(16.5$

And using the normal standard table or excel we find the probability:

$P(-1.768< Z< 1.768) = P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

$X \sim N(17.5,4)$

Where $\mu=17.5$ and $\sigma=4$

Since the distribution for X is normal then, the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)$

We select a sample of n =50 people. And we want to find the following probability

$P(16.5$

And using the normal standard table or excel we find the probability:

$P(-1.768< Z< 1.768) = P(Z$

4 0

4 years ago

Find the coordinates of the point (x,y,z) on the planez=4x+3y+1 which is closest to the origin.

Nataliya [291]

Given plane Π : f(x,y,z) = 4x+3y-z = -1
Need to find point P on Π that is closest to the origin O=(0,0,0).

Solution:
First step: check if O is on the plane Π : f(0,0,0)=0 ≠ -1 => O is not on Π
Next:
We know that the required point must lie on the normal vector <4,3,-1> passing through the origin, i.e.
P=(0,0,0)+k<4,3,-1> = (4k,3k,-k)
For P to lie on plane Π , it must satisfy
4(4k)+3(3k)-(-k)=-1
Solving for k
k=-1/26
=>
Point P is (4k,3k,-k) = (-4/26, -3/26, 1/26) = (-2/13, -3/26, 1/26)
because P is on the normal vector originating from the origin, and it satisfies the equation of plane Π
Answer: P(-2/13, -3/26, 1/26) is the point on Π closest to the origin.

8 0

3 years ago

Enter a negative number that is greater than -5.

bixtya [17]

Answer:

+5 is greater that -5 and is also a opposite integer.

6 0

3 years ago

Read 2 more answers

What is 80% as a fraction in reduced form ?

dangina [55]

4/5 because 8/10 is equal to 4/5 which is the simplest form<span />