Plot the points (0,1), (-1,3), (2, -3) and describe the resulting graph.

MrMuchimi

I would try a but maybe wait for one more response because I got squared after x and 5x

8 0

3 years ago

In Carna's desk drawer, there are 16 paper clips and 20 elastic bands. In Noelia's office supply tray, there are 10 paper clips

Nimfa-mama [501]

Answer:

Carna has a lower ratio of paper clips to elastic bands

0.2

Step-by-step explanation:

step one

given data

In Carna's desk drawer

number of paper clips 16

number of elastic band= 20

ratio of paper clips to elastic bands

16:20= 1/5 =0.2

Noelia's office supply tray

number of paper clips 10

number of elastic band= 13

ratio of paper clips to elastic bands

10:13= 0.76

Carna has a lower ratio of paper clips to elastic bands

0.2

5 0

3 years ago

Tickets to the school musical are $5.00 for adults and $2.50 for students. If the total value of the tickets sold was $687.50 an

Masja [62]

Answer:

Your answers should be a = 135 adult tickets and s = 186 student tickets.

Step-by-step explanation:

1. Solving for variable s by manipulating variable a:

a + s = 321

a = 321 - s (subtract s to the other side to get a by itself)

$3.50(321-s) + $2.50s = $937.50 (substitution from step 2)

$1123.50 - $3.50s + $2.50s = $937.50 (distributive property)

$1123.50 - $1.50s = $937.50 (combine like terms)

-$1.00s = -$186 (subtraction property of equality)

s = 186 student tickets.

2. Solving for variable a by manipulating variable s:

a + s = 321

s = 321 - a

$3.50a + $2.50(321-a) = $937.50

$3.50a + $802.50 - $2.50 a = $937.50

$1.00a = $135

a = 135 adult tickets.

If you plug both numbers into the original equations, they should come out to be true equations. 135 + 186 = 321 and $472.5 + $465 = $937.5, so these two numbers are your answers for a and s accordingly.

Using the elimination method, we need to eliminate one of the variables by a process of subtraction or addition depending on the case. We can use multiplication or division before eliminating in order to eliminate.

a + s = 321

3.50a + 3.50s = 1123.50 (multiply entire equation by 3.50 in order to eliminate variable a by subtraction)

Now, we can use elimination:

3.50a + 3.50s = 1123.50

3.50a + 2.50s = 937.50

0a + 1s = 186, or s = 186 student tickets.

The same process can be used to solve for variable a. Your answers should be a = 135 adult tickets and s = 186 student tickets.

4 0

3 years ago

A simple random sample of 10 paired values (x,y) yields the following statistical calculations: ∑x=108, ∑y=138, ∑(x2) =1249, ∑(y

lora16 [44]

The linear correlation coefficient is $r=1.054$

Explanation:

It is given that $\Sigma x=108$ , $\Sigma y=138$ , $\Sigma x^{2} =1249$ , $\Sigma y^{2} =2280$ and $\Sigma(x y)=1676$

Also, the random sample is $n=10$

The formula to determine the correlation coefficient is given by

$r=\frac{n\left(\sum x y\right)-\left(\sum x\right)(\Sigma y)}{\sqrt{\left[n \sum x^{2}-\left(\sum x\right)^{2}\right]\left[n \Sigma y^{2}-(\Sigma y)^{2}\right]}}$

Substituting the values in the formula, we have,

$r=\frac{10(1676)-(108)(138)}{\sqrt{\left[10(1249)-(108)^{2}\right]\left[10(2280)-(138)^{2}\right]}}$

Simplifying the values, we get,

$r=\frac{16760-14904}{\sqrt{\left[12490-11664\right]\left[22800-19044\right]}}$

Subtracting the values in both numerator and denominator, we have,

$r=\frac{1856}{\sqrt{\left[826\right]\left[3756\right]}}$

Multiplying the denominator,

$r=\frac{1856}{\sqrt{3102456}}$

Simplifying, we have,

$r=\frac{1856}{1761.4}$

Dividing, we get,

$r=1.054$

Thus, the linear correlation coefficient is $r=1.054$

7 0

3 years ago

How does a natural monopoly function?

romanna [79]

Answer:

D: a single firm supplies all the output.

Step-by-step explanation:

A natural monopoly runs most efficiently when one large firm supplies all of the output.

A natural monopoly occurs when the most efficient number of firms in the industry is one. As the name suggests, monopoly means single. We can also say that it is a market structure characterized by a single seller, selling a unique product in the market.

7 0

3 years ago