Two random samples of 25 people were asked how many 12-ounce cans of soda they consume each week. The first sample contained both males and females, aged 12-19. The second sample contained both males and females, aged 20-39. The results are shown in the table below. Using complete sentences, make one inference comparing the two groups, and explain your reasoning.

Answers

Answer 1

Answer:

One inference that can be made is that the age group of 12-19 consume more sodas than the age group of 20-39.

Step-by-step explanation: ok sooooo

Answer 2

The required individuals aged 20-39 consume more 12-ounce cans of soda per week than individuals aged 12-19.

What is mathematical reasoning?

Mathematical reasoning is the process of using logical thinking and mathematical concepts to solve problems, prove theorems, and develop mathematical models. It involves identifying patterns, making conjectures, and using deductive reasoning to arrive at logical conclusions based on given assumptions.

Based on the information given in the table, it can be inferred that individuals aged 20-39 consume more 12-ounce cans of soda per week than individuals aged 12-19. This inference can be made because the mean and median values of the second sample (aged 20-39) are higher than those of the first sample (aged 12-19). Specifically, the mean for the second sample is 8.6 cans of soda per week, while the mean for the first sample is 6.96 cans of soda per week. Similarly, the median for the second sample is 8 cans of soda per week, while the median for the first sample is 5 cans of soda per week.

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Related Questions

Use polynomial identities to factor 64 + 27a^3

Answers

Answer:

(3a+4)(9a^2-12a+16)

Step-by-step explanation:

It's a perfect square :)

The factors of the given polynomial are (4+3a)(9a²-12a+16)

What is polynomial?

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations.

Given that, a polynomial, 64+27a³

Using identity : a³+b³ = (a+b)(a²-ab+b²)

We get,

= (4+3b)(4²-4x3a+(3a)²)

= (4+3a)(16-12a+9a²)

Hence, the factors of the given polynomial are (4+3a)(9a²-12a+16)

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Simplify.
5 + 2(3x − 4) − x
1. 1 + 5x
2. 13 + 5x
3. −3 + 5x
4. 13 + 7

Answers

Distributive property
5 + 6x - 8 - x
Combine like terms
5 - 8 = -3
6x - x = 5x
Answer: -3 + 5x

A charity organization had to sell a few tickets to their fundraiser just to cover necessary production costs after selling 10 tickets, they were still a net loss of $800 (due to the product cost). They sold each ticket for $70 let y represent the net profit (in dollars) when they have sold x tickets

Answers

Answer:

y = 70x - 1500

Step-by-step explanation:

Price per ticket = 70

Using the relation :

y = mx + c

x = number of tickets sold

When x = 10 ; y = - 800

Hence,

-800 = 70(10) + c

-800 = 700 + c

-800 - 700 = c

Hence, c = - 1500

The equation for the net profit in dollars is :

y = 70x - 1500

HELPPPP!!!!!!
1) Consider the sequence:
7,4, 1, -2
A) Arithmetic or Geometric (and why?)
B) What is the common difference or common ratio?
C) Explicit equation:
D) Find the 12th term of the sequence:

Answers

This is what I got for the answers.

In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 : 5 = ___ : 15 C) ___ : 1 = 12 : 3 D) 15 : ___ = 3 : 1

Answers

Answer:

A and B

Step-by-step explanation:

Given

List of given options

Required

Which will correctly take 3 to fill the blank

Represent the blanks with x

Option A:

[tex]x : 4 = 12 : 16[/tex]

Convert to fractions

[tex]\frac{x}{4} = \frac{12}{16}[/tex]

Multiply through by 4

[tex]4 * \frac{x}{4} = 4 * \frac{12}{16}[/tex]

[tex]x = \frac{48}{16}[/tex]

[tex]x = 3[/tex]

Option B:

[tex]1 : 5= x : 15[/tex]

Convert to fraction;

[tex]\frac{1}{5} = \frac{x}{15}[/tex]

Multiply through by 15

[tex]15 * \frac{1}{5} = \frac{x}{15} * 15[/tex]

[tex]15 * \frac{1}{5} = x[/tex]

[tex]3 = x[/tex]

[tex]x = 3[/tex]

Option C:

[tex]x : 1 = 12 : 3[/tex]

Convert to fraction

[tex]\frac{x}{1} = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

Option D

[tex]15:x = 3:1[/tex]

Convert to fraction

[tex]\frac{15}{x} = \frac{3}{1}[/tex]

Cross Multiply

[tex]3 * x = 15 * 1[/tex]

[tex]3 * x = 15[/tex]

Divide through by 3

[tex]x = 5[/tex]

From the above calculations.

Option A and B can be filled with 3

20% of 80
percentage idk what to put

Answers

Answer:

if you are asking 20% of 80, then its 16

Step-by-step explanation:

0.2 x 80 = 16

Answer:

25

Step-by-step explanation:

25

Percentage Calculator: 20 is what percent of 80? = 25.

Factor the expression (24p - 60)
This is the last one

Answers

Step-by-step explanation:

24p - 60

= 12 * 2p - 12 * 5

= 12(2p - 5).

f(x)=-2x^2+6x+1
find F(-6)

Answers

Answer:

The answer is -107

Step-by-step explanation:

Wait how is it -107?

what is Alternate interior angles give an example ​

Answers

Hey there!

Basically, the alternate interior angles is/are the inside of the given lines but it’s unlikeable sides of your transversal

Basically, ∠1 & ∠2 are alternative interior angles

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

in the above pic you can see 12345678 marked angles

the alternate interior angles are angle3,5,4and6

they are pairs of alternat interior angles

Step-by-step explanation:

I hope it helps mate

i will always help you understanding your assingments

have a great day

#Captainpower#

Draw a graph that represents y=3x+2

Answers

Answer:

See drawing below.

Step-by-step explanation:

use the equation y=3x+2 to determine points needed, by substituting in the x values of -1, 0, 1, etc.

plot points

(-1, -1)

(0, 2)

(1, 5)

Please give thanks :)

Here's a graph that represents y=3x+2

help me please!! i will give brainliest

Answers

Answer:

            F             B

Step-by-step explanation:

write (3x^2 + 2x − 8) + (x^2 − 5x + 10) in standard form. Show your work

Answers

Answer:

4x^2-3x+2

Step-by-step explanation:

Answer:

4x^2 - 3x + 2

Step-by-step explanation:

(3x^2 + 2x - 8) + (x^2 - 5x + 10)

(3x^2) + (x^2) = 4x^2

(2x) + (-5x) = -3x

(-8) + (10) = 2

4x^2 - 3x - 2

x + 3y = 8
Y = 2 - x
solve for the system of equations

Answers

You plug y into the equation so x=-1 and y=3

Please help me out!!!!!

Answers

Answer:

k = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

I assume the function is

f(x) = 2x³ - kx² + x - 8k

2(2)³ - k(2)² + 2 - 8k = 2

- 12k + 16 = 0

3k - 4 = 0 ⇒ k = [tex]\frac{4}{3}[/tex]

I need help with this question

Answers

Answer:

51 degrees

Step-by-step explanation:

angle 1 is 104 and angle 3 is 25

add those and u get 129

it has to all equal 180 so...

180-129 is 51

Round the number to the nearest hundredth 3.99527

Answers

Answer:

nnnnnnnn

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Please help help help help help

Answers

Answer:

61.25%

Step-by-step explanation:

percent = part/whole * 100%

percent = 98/160 * 100%

percent = 0.6125 * 100%

percent = 61.25%

Answer: 61.25%

Answer:

61%

Step-by-step explanation:

To find the percent, divide 98 by 160

98÷160=0.6125

move the decimal of 2 spaces then round to the nearest hundredth

please help ill give brainliest

Answers

Answer: Nadia’s equation should be V = 1/2(12.5)(6.7)(20)

Leo’s equation: V = 1/2(21)(7)(29)

Darcie: V = 1/2(13)(4)(19)

Explanation:

The formula for the volume of a triangular prism = 1/2(base)(height)(length)

Correct answer will get brainpower and +40 points! I need step by step instructions though wrong answers will get reported.

Q1: f (x) =2x - 9

Part A) Find f^-1 (3)

Part B) Find f^-1 (x)

These are the parts that need to be solved.
tysm for the help!

Answers

Answer:

Given :-

f (x)=2x-9

To find:-

[tex]\sf f^{-1 (3)}[/tex]

[tex]\sf f^{-1 (x)}[/tex]

Solution :-

We need to find

[tex]f^-3 \\ f^{-x}[/tex]

[tex]\qquad{:}\longrightarrow\tt f^-3=2^{-3}-9 [/tex]

[tex]\qquad{:}\longrightarrow\tt -8-9 [/tex]

[tex]\qquad{:}\longrightarrow\tt f^{-3}=-17 [/tex]

[tex]\qquad{:}\longrightarrow\tt f^-x=2(-x)-9 [/tex]

[tex]\qquad{:}\longrightarrow\tt -2x-9 [/tex]

Multiply (-1)

[tex]\qquad{:}\longrightarrow\tt f^{-x}=2x+9 [/tex]

What is the value of the expression 7.5(-1/2)?

Answers

answer:
-3.75
half of 7.5 is 3.75. and its negative. so
-3.75

Answer:

-3.75

Step-by-step explanation:

Helppp ...............

Answers

Answer:

i think its B

Step-by-step explanation:

im not sure but im pretty sure if its wrong im sorry but im pretty sure its correct

Please help. This is volume

Answers

Answer:

3600 in

Step-by-step explanation:

12 * 15 = 180

180 * 20 = 3600

Then just add the right unit

3600 in

Multiply height by length by width so 12x15x20
Answer:3600 in

How does knowing the associative property help to add quicker?

Answers

Answer:

it helps us to add faster bc we can regroup numbers when we add. in the associative property, the order of the numbers don't change, only the grouping does

Step-by-step explanation:

Answer:

Did you know that the associative property can help us solve problems faster? ... According to the associative property, we can regroup the numbers when we add, and we can regroup the numbers when we multiply.

Step-by-step explanation:

Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

146

Step-by-step explanation:

multiple choice:/
for geometry:(

Answers

Answer:

neither parallel nor perpendicular

if you need an explanation, put it in the comments :)

Find the value of x that makes m || n
(2x+20) 3x

Answers

Answer:

x = 20

Step-by-step explanation:

For the lines to be parallel, then (3x + 20) and (3x) are alternate angles and congruent, thus

3x = 2x + 20 ( subtract 2x from both sides )

x = 20

1) Which polynomial identity would you use to factor the given expression? *
1-125n^3

Answers
1 Difference of Squares
2 Perfect Square
3 Difference of Cubes
4 Sum of Cubes

Answers

Answer:

I,dont know but use M A T H W A Y it will explain with all the stepp by step and answere

Step-by-step explanation:

the marked price of a radio is Rs 960 and the shopkeeper allows 10percent discount calculate the discount amount how much should a customer pay for it​

Answers

Answer:

864 rs

Step-by-step explanation:

10% of 960 is 96

960-96=864

What else would need to be congruent to show that ABC PQR by SSS?

Given
———-
AC=PR
BC=QR

A. AB=BA


B. AB=PQ


C. AC=PQ


D. A=P

Answers

A n s w e r :

B. AB = PQ

The condition which satisfy the congruency of the given triangle is

BC≈QR.

What is congruency of triangles?

Two triangles are said to be congruent if all the corresponding sides are equal and all the corresponding angles are equal. The symbol of congruency is '≅'

here, we have,

from the given information, we get,

To show that triangle ABC ≈ triangle PQR by SSS,

In this type of congruency, all the sides of the triangle ABC is equivalent to the all the sides of the triangle PQR.

Given, AC≅PR, AB≅PQ.

The another one condition is BC≅QR.

Hence, the condition which satisfy the congruency of the given triangle is BC≈QR.

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(arb)4 = 81r24
where a and b are positive integers. Work out a and b.

Answers

Step-by-step explanation:

(arb)4 = 81r24

a4r4b = 81r24

a4  = 81

a = 4√81

a = 3

r4b = r24

4b = 24

b = 6

any more help just ask :)

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