A student club has 9 members. How many ways can the club choose a president, vice president, and treasurer?

Evaluating a piece-wise function. 10 pts

kozerog [31]

1. Since -4 doesn’t equal -2, we will use the first function. All you have to do is plug in -4 to x, and you should get

-3

2. -2=-2, so we will use the second function to get the answer of

3

3. Once again we will be using the first function, so just plug 5 into the answer to get

-7.5

Hope this helped :)

4 0

2 years ago

D

Gelneren [198K]

Answer:

General equation of line : $y = mx+c$ --1

Where m is the slope or unit rate

Table 1)

p d

1 3

2 6

4 12

d = Number of dollars (i.e.y axis)

p = number of pound(i.e. x axis)

First find the slope

First calculate the slope of given points

$m = \frac{y_2-y_1}{x_2-x_1}$ ---A

$(x_1,y_1)=(1,3)$

$(x_2,y_2)=(2,6)$

Substitute values in A

$m = \frac{6-3}{2-1}$

$m = 3$

Thus the unit rate is 3 dollars per pound.

So, It matches the box 1 (Refer the attached figure)

Equation 1 : $p=3d$

$\frac{p}{3}=d$

Since p is the x coordinate and d is the y coordinate

On Comparing with 1

$m = \frac{1}{3}$

Thus the unit rate is $\frac{1}{3}$ dollars per pound

So, It matches the box 2 (Refer the attached figure)

Equation 2 : $\frac{1}{3}d=3p$

$d=9p$

Since p is the x coordinate and d is the y coordinate

On Comparing with 1

$m =9$

Thus the unit rate is 9 dollars per pound

So, It matches the box 3 (Refer the attached figure)

Table 2)

p d

1/9 1

1 9

2 18

d = Number of dollars (i.e.y axis)

p = number of pound(i.e. x axis)

$(x_1,y_1)=(\frac{1}{9},1)$

$(x_2,y_2)=(1,9)$

Substitute values in A

$m = \frac{9-1}{1-\frac{1}{9}}$

$m = \frac{8}{frac{8}{9}}$

$m = 9$

Thus the unit rate is 9 dollars per pound

So, It matches the box 3 (Refer the attached figure)

3 0

3 years ago

Read 2 more answers

Find an equation of the line that bisects the acute angles formed by the lines with equations 2x+y-5=0 and 3x-2y+6=0

Neko [114]

The solving for the first one should be like this

$2x+y-5/sqrt 2^2 1^2=2x+y-5/sqrt5$
And the next part $3x-2y+6/sqrt 3^2 -2^2=3x-2y+6/sqrt13$

After these manipulations just multiply them
$
(2sqrt13-3sqrt5)x+(sqrt13+2sqrt5) y-5sqrt13-6sqrt5=0 
$
And finally you need to square and simplify for the completed answer

5 0

3 years ago

What is the probability of obtaining a sample mean of 53 or less from a sample of 50?

Artemon [7]

Sampling errorThe natural discrepancy, or amount of error, between a sample statistic and its corresponding population parameter.distribution of sample meansThe collection of sample means for all of the possible random samples of a particular size (n) that can be obtained from a population.sampling distributionA distribution of statistics obtained by selecting all of the possible samples of a specific size from a population.central limit theoremFor any population with mean μ and standard deviation σ, the distribution of sample means for sample size n will have a mean of μ and a standard deviation of σ/√n and will approach a normal distribution as n approaches infinity.expected value of MThe mean of the distribution of sample means is equal to the mean of the population of scores, μ, and is called this.standard error of MThe standard deviation for the distribution of sample means. Identified by the symbol σ˯M. This standard error provides a measure of how much distance is expected on average between a sample mean (M) and the population mean (μ).law of large numbersStates that the larger the sample size (n), the more probable it is that the sample mean is close to the population mean.

8 0

3 years ago

At a restaurant, hamburgers cost $6.50 and fries cost $3. If you buy (h) ( h repusents hamburger) hamburgers and an order of fri

DerKrebs [107]

6.50h + 3f = order total

5 0

3 years ago

Read 2 more answers