The following data sets can be modeled linearly.

The Following Data Sets Can Be Modeled Linearly.

Answers

Answer 1

Answer:

last and third

Step-by-step explanation:


Related Questions

if r=5 and h=3cm what is the volume of the cone (assume pi =3.14

Answers

Answer:

should be 78.5

Step-by-step explanation:

the formula for volume of a cone is V = pi^2 x H/3

so if you plug in the values you get V= 3.14 x5^2 x3/3 making the awsnser 78.5

The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. One rider has an average speed of 73.3 feet per second and completes the course in 30 seconds.

A) What is the constant of variation?

B) If another rider completes the course in 25 seconds, what was his speed?

Answers

The value of the constant of variation is 2,199 feet. The speed of the another rider is 87.96 feet/sec.

What is the directly proportional and inversely proportional relationship?

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

 p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as

 p∝q  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

A.) The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. Therefore, the relationship can be written as,

Average speed ∝ (1/time)

Now, if the constant of variation is introduced then the relationship can be written as,

Average speed = k(1/time)

Substituting the values, we will get,

[tex]73.3\frac{ feet}{second}= k \times \dfrac{1}{30\ seconds}\\\\73.3 \frac{ feet}{second}\times 30\ seconds = k\\\\k = 2,199\ feet[/tex]

Hence, the value of the constant of variation is 2,199 feet.

B.) The speed of the another rider is,

Average speed = k(1/time)

Average speed = 2,199×(1/25) feet/sec

Average speed = 87.96 feet/sec

Hence, the speed of another rider is 87.96 feet/sec.

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29. Having a large enclosed space has advantages, but it can be more expensive to heat and cool. Assume an air conditioner uses about 4 BTUs/cubic foot each hour (a BTU is a measure of energy). How many BTUs will the air conditioner need to produce each hour to cool the structures? Hint: Multiply the enclosed space by the number of BTUs needed per cubic foot. (3 points)
1: Cylinder

2: Pyramid

3: Dome

Answers

The BTU required by the air conditioner/hour to cool the following structures is given as:

Cylinder: 4*π r² h (Where h is height, and r is the radius);Pyramid: 4 (lwh/3) (Where l is the length, w - the width, and h, the height;Dome: 4 * (4/3 πr³)

What is the explanation for the above?

It is to be noted that the BTU required to cool per cubic foot of space is 4BTUs.

Since we are not given the dimensions of the structures, the required constant is thus, multiplied by the volume of the structures whose equations have been given above.

Note that:

Volume translates to enclosed space; and

BTU means British Thermal Unit.

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The level of college education and wages earned are known to have a strong positive association. karen concluded that a college education causes higher earnings. is karen's conclusion valid? explain. karen's conclusion is not valid because association does not imply causation. karen's conclusion is valid because association does imply causation. karen's conclusion is not valid because causation does not imply association. karen's conclusion is valid because causation does imply association.

Answers

karen's conclusion is valid because the association does imply causation.

What is an association claim?

An association claim asserts that a particular level of one variable is expected to be related to a specific level of another variable. As two variables are related, they are said to be correlated, which means that when one variable varies, the other variable tends to change as well. 

An association claim must include at least two variables that are measured rather than manipulated.

While an association claim just acknowledges a connection between two variables, a causal claim goes a step further by claiming that one of the factors is responsible for altering the other.

Therefore, we can conclude that the claim which states that:

College education causes higher earnings is valid because the association does imply causation.

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Answer:

Association does not equal Causation, since Karen's theory does not have any evidence to prove causation, her theory is invalid.

Step-by-step explanation:

[tex]3x+1[/tex] the collatz conjecture

Answers

Answer: Slope: 3

x-intercept(s): [tex](-\frac{1}{3} , 0)[/tex]

y-intercept(s): [tex](0,1)[/tex]

theres 2 parts i need a awnser and i need to you to show your work please!!! WILL GIVE BRAINLIST!!!!!!!!!

Answers

Answer:

Part 1: See below ↓↓

You have two given data available here: the actual height of the Empire State Building measuring 1,450 feet, and the height of the block measuring 2 feet. To find how many blocks stacked together would make up 1,450 feet, just divide 1,450 by 2.

Number of blocks=1,450 feet * (1 block/2 feet)

Number of blocks = 725 blocks

Part 2 (kinda work)

What I did was I divided 1,450 by 5 and I got 290 so you would have to use 290 blocks to build the Empire State building out of blocks. The scale factor is 1 block per 5ft

Step-by-step explanation:

Find the equation of the line.
Use exact numbers.
y
y
8-
7
6+
-9-8-7-6-5-4-32
2 3 4 5 6 7 8 9
-27
-3
-4
-5
-6
-8

Answers

Answer:

Could you possible line the numbers up a little bit, it'd be better to understand that way.

The equation is the formula that relates the circumference of a circle to the radius. this gives us the ability to calculate pi if we physically measure a circle's circumference and radius. solve the equation for to get the formula you would use to perform this activity.

Answers

Answer:

  π = C/(2r)

Step-by-step explanation:

The equation that relates the circumference of a circle to the radius is ...

  C = 2πr

__

We can divide both sides of the equation by 2r to get an expression for π.

  [tex]C=2\pi r\\\\\dfrac{C}{2r}=\dfrac{2\pi r}{2r}\\\\\boxed{\pi=\dfrac{C}{2r}}[/tex]

The circle graph shows the results of a survey by a bakery on which of their new products 71 customers preferred most. How many customers preferred cake? Round your answer to the nearest whole number. show work and explain to your best ability please and thank you.

Answers

Answer:

25 customers

Explanation:

To find the number of people preferred cake, multiply the percentage by total customers.

People who preferred cake:

⇒ 35% × 71

⇒ 24.85

⇒ 25 (rounded to nearest whole number)

A basketball team has 15 members, and 18 of them are sixth graders what percentage of the team is in sixth grade?

Answers

Answer:

120% are sixth graders

But, If you meant to say 18 basketball players and 15 6th graders, the percentage would be around 83.3%

120% but not sure if u meant to say 18 sixth graders

Help me find the answer please. Thank you!​

Answers

Answer:

Here is the ans...hope it helps

Colin's family started driving to Grandma´s house at 8:00 am. The family arrived at 11:30. How long did it take to drive to Grandma´s house? use the number line to solve the problem. (pls help)

Answers

Answer:

3 hrs 30 min

Step-by-step explanation:

6) please help solve sin²3theta=1

Answers

Answer:

Step-by-step explanation:

[SOLVED] The following data values are amperage outputs from electrical testing.

60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98

Use the drop-down menus to identify the key values.

What is the median? ✔ 64

What is Q1, the median of the lower half of the data? ✔ 61.5

What is Q3, the median of the upper half of the data? ✔ 71

What is the interquartile range, or Q3 – Q1? ✔ 9.5

Answers

The median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5

What is the median?

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

We have data:

60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98

The median = (63+65)/2 = 64

Q1 = (61+62)/2 = 61.5

Q2 = (70+72)/2= 71

Q3 - Q1 = 71 - 61.5 = 9.5

Thus, the median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5

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Answer:

Use the drop-down menus to identify the key values.

What is the median? ✔ 64

What is Q1, the median of the lower half of the data? ✔ 61.5

What is Q3, the median of the upper half of the data ✔ 71

What is the interquartile range, or Q3 – Q1? ✔ 9.5

Step-by-step explanation:

edge 2023

Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
X
y
1
4
2
-5
3
-14
-23
5
-32
O A. The data represent an exponential function because there is a
common ratio of
5
4
OB. The data represent a linear function because there is a common
difference of -9.
OC. The data represent a linear function because there is a common
difference of 9.
OD. The data represent an exponential function because there is a
4

Answers

Answer:

Its a linear function as there is a common difference of -9.

Step-by-step explanation:

x  y      Difference

1   4    

2  -5      -9

3 -14      -9

4 -23     -9

5 -32     -9

For a difference in x of we have a difference in y  of -9.

There are 90 people going on this feild trip. The budget allows for $542.94 total for tickets to the Buccaneers game. There is a service fee of $45.82. How much does each ticket cost?

Answers

If you have 90 students going on a trip and have a budget, (including a fee), of $542.94 you can subtract the fee from this total to find how much each students ticket costs. $542.94 - $45.82 = $497.12 and then divide that by 90 students to determine the ticket cost. $497.12 / 90 = $5.52333… or $5.52 per ticket.

Can someone answer this problem??

Answers

Answer:  The answer is 9

Answer:

9% of her monthly income is spent on 'Other expenses'

Step-by-step explanation:

[tex]900+120+80+100+320=1820[/tex]

but if you divide 180 by 2000 you'll get 0.09 but times that by 100 you'll get 9%

You have a standard deck of 52 cards. Find the probability of drawing one card, then drawing another without replacement.
A) You draw an even-numbered card and then a face card.
B) Both cards you drew are "4" or higher (if aces are considered low cards and face cards are nonnumerical)
C) You drew a black face card and then a black "5".

Answers

Assuming that the all the cards have the same probability of being drawn we get:

A) P = 0.07B) P = 0.21C) P = 0.001

How to find the probabilities?

We have a deck of 52 cards.

A) The probability of drawing an even-numbered card is given by the quotient between the number of even-numbered cards and the total number of cards.

On the 52 card deck, there are 16 even cards (2, 4, 6, 8 for each type), so the probability is:

p = 16/52

Then the probability of drawing a face card is given in the same way, notice that now there are 51 cards in the deck and 12 face cards, so we get:

q = 12/51

The joint probability is the product of these two:

P = (16/52)*(12/51)  = 0.07

b) Both cards are 4 or larger.

There are 6 cards equal or larger than 4 for each type, so the probability for the first card is:

p = 24/52

For the second card, there is one card less in the deck (and one card less that is equal or larger than 4) so the probability is:

q = 23/51

The joint probability is:

P = (24/52)*(23/51) = 0.21

C) There are 6 black face cards, so the probability first is:

p = 6/52

Then there are 2 black cards with the number 5, so the probability is:

q = 2/51

The joint probability is:

P = (6/52)*(2/51) = 0.001

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Find the area of the regular polygon

Answers

Answer:

a = 337.214 m2

Step-by-step explanation:

hope this helps

Instructions: Complete the following proof by dragging and dropping the correct reason into the space provided.

Given: −6a−5=−95

Answers

Answer:

givenaddition property of equalitydivision property of equality

Step-by-step explanation:

The equation is solved by starting with the given equation, then performing inverse operations to undo what is done to the variable.

__

Step 1

The equation shown is the same as the given equation.

  reason: given

Step 2

The equation shown has the "-5" term missing. That happens when +5 is added to both sides of the equation. -5 +5 = 0, and 0 added to anything leaves the value unchanged.

  reason: addition property of equality

Step 3

The equation shown has the "-6" coefficient of 'a' missing. That happens when the equation is multiplied by the multiplicative inverse of -6. That is, it is divided by -6.

  reason: division property of equality

_____

Additional comment

As we have noted in Step 3, division is the same as multiplication by the multiplicative inverse. The definition of multiplicative inverse tells you that the product of a number and its inverse is 1. The identity element property for multiplication tells you that multiplying by 1 leaves the value unchanged.

  (1/(-6))(-6a) = 1a = a

So, the reason for Step 3 could also be "multiplication property of equality."

A cylinder and a cone have the same radius and height. The volume of the cylinder is 150 in^3. What is the volume of the cone?

Answers

Answer:

50 cm³

Step-by-step explanation:

Given volume of cylinder is 150 in³

we know that The volume of cone 1/3rd of cylinder.

Then volume of cone is 150/3 = 50 cm³

short answer: Write an equation in the form y=ax2+bx+c for a parabola that intersects the x-axis at -6 and 2 and passes through the point (1,-14) (2 points). Show you work.

Answers

Answer:

y = 2x^2 + 8x - 24

Step-by-step explanation:

This is a "working backwards" kind of a problem. You know the solution (the x-intercepts) and work backwards to find the equation. See image.

please help me with this please.......asap

Answers

Answer:

B and D because I know that I think

19 there is a frog and snake exhibit at
a nature center. the ratio of frogs to
snakes is 3 to 4. there are 24 snakes in
the exhibit. what is the total number of
animals in the exhibit?
a
18
c
32
b 42
d
56

Answers

Answer:

b.42

Step-by-step explanation:

the ratiois is 3 to 4 .So every 4 snakes is to 3 frogs so since there are 24 snakes devide the 24 by 4 which will give u 6 then multiply the answer by 3 which will give u 18 which represents the total number of frogs then add 18 +24 which is 42.

so then total number of frogs is 42.

Write the quadratic equation whose roots are 4 and -2 and whose leading coffecient is 2

Answers

Answer:

[tex]y=2x^2-4x-16[/tex]

Step-by-step explanation:

Factored form of a quadratic equation:

[tex]y=a(x-r_1)(x-r_2)[/tex]

where:

a is the leading coefficient[tex]r_1[/tex] and [tex]r_2[/tex] are the roots

Given:

[tex]a = 2[/tex][tex]r_1=4[/tex][tex]r_2=-2[/tex]

Substitute the given values into the formula and expand:

[tex]\implies y=2(x-4)(x-(-2))[/tex]

[tex]\implies y=2(x-4)(x+2)[/tex]

[tex]\implies y=2(x^2+2x-4x-8)[/tex]

[tex]\implies y=2x^2-4x-16[/tex]

What expression is equivalent to 7/12

Answers

Answer:

14/24 is one expression equivalent to 7/12.

Answer:

14/24,21/36,28/48,35/60,42/72,49/84,56/96 are equivalent to 7/12...

Arrange the hyperbolas in increasing order of the horizontal widths of their asymptote rectangles.

Answers

The  increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from  y = ± x.

What is a Hyperbola?

This is defined as a two-branched open curve formed by the intersection of a plane perpendicular to the bases of a double cone.

The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.

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What is the value of x?
Enter your answer as a decimal to the nearest tenth in the box.
ft
B
29
27 ft
C

Answers

Answer:

  23.6 ft

Step-by-step explanation:

In the right triangle, an acute angle, the hypotenuse, and an adjacent side are marked. We went to know the length of the adjacent side. The trig relation involved is ...

  Cos = Adjacent/Hypotenuse

__

Filling in the given information, this relation tells us ...

  cos(29°) = x/(27 ft)

Solving for x, we get ...

  x = (27 ft)cos(29°) ≈ 23.614 ft

The value of x is about 23.6 ft.

I need help! Math isn’t my best subject

Answers

Answer:

A and c

Step-by-step explanation:

multiply the 3 to both parts of equation

Answer:

it's A and C, multiply 3 with 3x and 4y

what is 300 in scintifiyc notation?​

Answers

300 written in scientific notation is 3 × 102.

hope this was helpful.

Step-by-step explanation:

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