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3 years ago

The most commonly used descriptive statistics for a set of numerical scores are the mean and the ____.

Mathematics

1 answer:

nasty-shy [4]3 years ago

8 0

Answer: Standard Deviation.

Step-by-step explanation:

DescriptionIn insights, the standard deviation is a proportion of the measure of variety or scattering of a lot of qualities. A low standard deviation demonstrates that the qualities will in general be near the mean of the set, while an elevated expectation deviation shows that the qualities are spread out over a more extensive territory.

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It was reported that Ross Perot spent approximately $40 million of his own money in the 1992 presidential campaign. His total wo

never [62]

$\bf \textit{Ross Perot spent }\cfrac{40000000}{4000000000}
\\\\\\
\textit{how much is that of 50,000?}\qquad well
\\\\\\
\cfrac{40000000}{4000000000}\times 50000\impliedby \textit{that much}$

4 0

3 years ago

Prior to the 2008 Republican primary for President, the December 21, 2007 Grand Haven Tribune had an article about results from

harkovskaia [24]

Answer:

The sample size is n = 621

Voters Relative Frequency Frequency

Romney 0.21 130

Huckabee 0.19 118

Guiliani 0.12 75

John McCain 0.10 62

Ron Paul 0.04 25

Fred Thompson 0.04 25

Duncan Hunter 0.01 6

Tom Tancredo 0.01 6

Undecided votes 0.28 174

Step-by-step explanation:

From the question we are told that

The number of voters is n = 621

The voter election aspirants and their relative frequency are

Romney , 0.21

Huckabee , 0.19

Guiliani , 0.12

John McCain ,0.10

Ron Paul , 0.04

Fred Thompson 0.04,

Duncan Hunter 0.01

Tom Tancredo 0.01

Undecided votes 0.28

This undecided vote is used to represent votes that did not count and it is obtained by subtracting the other relative frequencies from 1 (i.e 100%)

Generally the frequency is mathematically represented as

Romney , 621 * 0.21 = 130

Huckabee , 621 * 0.19 = 118

Guiliani , 621 * 0.12 = 75

John McCain 621 * 0.10 = 62

Ron Paul , 621 * 0.04 = 25

Fred Thompson 621 * 0.04 = 25

Duncan Hunter 621 * 0.01 = 6

Tom Tancredo 621 * 0.01 = 6

Undecided votes 621 * 0.28 = 174

So the table is

Voters Relative Frequency Frequency

Romney 0.21 130

Huckabee 0.19 118

Guiliani 0.12 75

John McCain 0.10 62

Ron Paul 0.04 25

Fred Thompson 0.04 25

Duncan Hunter 0.01 6

Tom Tancredo 0.01 6

Undecided votes 0.28 174

5 0

3 years ago

An ice cream stand offers single-scoop waffle-cones or bowls. Three flavors are available: strawberry, chocolate, and vanilla. H

Otrada [13]

ANSWER:

STEP-BY-STEP EXPLANATION:

We have two toppings, the first is the ice cream container where there are two options and the second is the ice cream flavor where there are a total of three options.

Therefore, the number of possible ways to order ice cream would be:

$\begin{gathered} p=2\cdot3 \\ \\ p=6 \end{gathered}$

There are a total of 6 ways to order an ice cream

4 0

1 year ago

Graph f (x)=tan 3x. Identify period, x-intercepts and asymptotes

Marrrta [24]

Well the period of the tan(x) function is π. It means that when you add π on X axis you will get the same y axis value.

There is a little trick to find the period of functions like yours.
You just divide period of basic tan(x) function with, in your case 3.
So this mean you have
To = π/3

Function intercepts x axis when function is equal to 0.

tan(3x) = 0
3x = k * π
x = k * (π / 3)

There are only vertical asymptotes in tangent function.
You can easily see it if you look at the graph

tan(x) = ∞ , (π/2 + kπ)
tan(x) = -∞ (-π/2 + kπ).
x = π/2 + kπ
x = - π/2 + kπ

tan(3x) = ∞

3x = π/2 + kπ
x = π/6 + kπ/3

tan(3x) = -∞

3x = -π/2 + kπ
x = -π/6 + kπ/3

5 0

3 years ago

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and

timofeeve [1]

The complete question is:

In order to prepare for your summer bash, you go to the supermarket to buy hamburgers and chicken. Hamburgers cost $2 per pound and chicken costs $3 per pound. You have no more than $30 to spend. You expect to purchase at least 3 pounds of hamburgers.

Write a system of inequalities to represent this situation.
Graph the system of inequalities on the grid.
Give three possible combinations for buying hamburgers and chicken for your summer bash.

Justify your answers

Answer:

A) System of inequalities:

2x + 3y ≤ 30

x ≥ 3

x ≥ 0

y ≥ 0

B) Graph: see the picture attached

C) Three possible combinations:

3 pounds of hamburgers and 8 pounds of chicken

3 pounds of hamburgers and 0 pounds of chicken

15 pounds of hamburgers and 0 pounds of chicken

Explanation:

A) Write the system of inequalities to represent this situaction.

1. Variables:

x: number of pound of hamburgers
y: number of pound of chicken

2. Costs:

x pounds of hamburgers at $2 per pound: 2x
y: pounds of chicken at $3 per pound: 3y

total cost: 2x + 3y

3. First constraint:

You have no more than $ 30 to spend: means that the cost of what you buy can be at most (less than or equal to) $ 30.

2x + 3y ≤ 30

4. Second constraint:

You expect to purchase at least 3 pounds of hamburgers: means that the number of pounds of hamburgers may be greater than or equal to 3.

x ≥ 3

5. Additional constraints:

Both, x and y cannot be negative: x, y ≥ 0

6. System of equations:

2x + 3y ≤ 30

x ≥ 3

x ≥ 0

y ≥ 0

B) Graph 

You have to graph all the constraints in a x-y coordinate system.

1. To graph 2x + 3y ≤ 30 graph the line 2x + 3y = 30

Choose the y-intercept and x-intercept.

x = 0 ⇒ 3y = 30 ⇒ y = 10 ⇒ point (0, 10)

y = 0 ⇒ 2x =30 ⇒ x = 15 ⇒ point (15, 0)

With two points you can draw the line

Clear y: y ≤ 10 - 2x/3. Since, the symbol is ≤ you shade the region below the line, and the line is included, so you draw it as as solid line.

2. To graph x ≥ 3 just draw the vertical line x = 3 and shade the region to the right of it. The points of the line are included (solid line).

3. The constraints x ≥ 0 and y ≥ 0 mean that the region is restricted to the first quadrant (including the positive axis).

4. The feasible solutions are the set of points inside the common regions (intersection).

With all that information the graph is the one attached. The feasible solutions is the region defined by the triangle with vertices (3,8), (3,0), and (15,0).

C) Give 3 possible combinations.

You can pick any three points inside the region, as long as the coordinates are integer numbers. For instance the 3 vertices are solutions:

(3, 8) ⇒ 3 pounds of hamburgers and 8 pounds of chicken

(3,0) ⇒ 3 pounds of hamburgers and 0 pounds of chicken

(15,0) ⇒ 15 pounds of hamburgers and 0 pounds of chicken

You could also prove that (5,4), 5 pounds of hamburgers and 4 pounds of chicken meet, the inequalities.

This is how you prove it:

5 ≥ 0
5 ≥ 3
4 ≥ 0
2(5) + 3(4) = 10 + 12 = 22 ≤ 30

And you can do the same for any pairs to verify whether they are solution or not.

7 0

4 years ago