Which equation best represents this data set?
{(-4,-4.8), (-3, -8.2), (-2,-9.1), (-1, -8.1), (0, -4.7), (1,0.3)}
y= 1.1x – 4.2
y= 1.1x² + 4.2x – 4.9
y= 1.1x² + 4.2x + 4.9
y = 1.1x + 4.2

Answer:

There are 6,840 possible outcomes for these awards.

Step-by-step explanation:

Given that a group of 20 people are going to run a race, and the top three runners earn gold, silver, and bronze medals, to determine how many outcomes are possible for these awards, the following calculation must be performed:

20 x 19 x 18 = X

380 x 18 = X

6.840 = X

Therefore, there are 6,840 possible outcomes for these awards.

Total outcomes that are possible for these awards are 6840 outcomes, calculated using permutation.

Total number of people=20

permutation means the arrangement of items while the combination is all about the selection of some out of many.

let us say start with the gold medal

no of ways a gold medal can be given = ²⁰C₁ = 20

Now, the number of people left is 19

no of ways a silver medal can be given = ¹⁹C₁ = 19

Now, the number of people left is 18

no of ways a bronze medal can be given = ¹⁸C₁ = 18

possibility of total outcomes=20*19*18 = 6840ways

Therefore, total outcomes that are possible for these awards=6840

to get more about permutations and combinations refer to the link,

https://brainly.com/question/4658834

Answer:

4/7 = 8/14

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]\frac{4}{x} =\frac{8}{14} \\[/tex]

cross multiply

8x = 14 x 4

8x = 56

x = 7

Answer:

The recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex], [tex]a_{i} = a_{i-1} + 30[/tex].

Step-by-step explanation:

A recursive formula is a formula that defines each term of a sequence using the preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence, as well as an equation defining [tex]a_{i}[/tex] in terms of preceding terms. Since the first term of this sequence is 37, that means [tex]a_{1} = 37[/tex]. The pattern in this arithmetic sequence between each term in ascending order would be 30 more than the previous term, so you can create the function [tex]a_{i} = a_{i-1} + 30[/tex]. So the recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex] and [tex]a_{i} = a_{i-1} + 30[/tex].

Answer:

x = -11 5/17

Step-by-step explanation:

3x + 2y = 12

2x - 3y = -57

5x + y =  -45

y = -5x - 45

2x - 3 (-5x - 45) = -57

2x + 15x + 135 = -57

17x + 135 = -57

17x = -192

x = -11 5/17

Answer:

A.

Step-by-step explanation:

i pretty sure

Answer:

4

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

it has 15.95 and only 1 16.00 :D

Answer:

2

Step-by-step explanation:

The ratio of red squares to blue squares is 3 : 7

The ratio of blue squares to total squares is 7 : 10

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

The number of red squares = 15

The number of blue squares = 35

Now , the total number of squares is N = 50 squares

a)

The ratio of red squares to blue squares is = number of red squares / number of blue squares

The ratio of red squares to blue squares is = 15 / 35

The ratio of red squares to blue squares is = 3 : 7

b)

The ratio of blue squares to total squares is = number of blue squares / total number of squares

The ratio of blue squares to total squares is = 7 : 10

Hence , the proportion is solved

To learn more about proportion click :

https://brainly.com/question/7096655

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The complete question is :

A quilt is made of 15 red squares and 35 blue squares. Find the ratio, in lowest terms of:

a) The ratio of red squares to blue squares

b) The ratio of blue squares to total squares

Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°

Answer:

A (8.1 x 10^10)

Step-by-step explanation:

1. 1 billion is 1,000,000,000 or 10^9

2. 81 Billion should be 81 x 10^9, but the correct notation should always show a single digit number, so you need to also divide 81 per 10

3. Thus, the answer is 8.1 x 10^10

Answer:

8.1 × 10^10

:)

Answer:

C) 24>x

Step-by-step explanation:

The inequality is just turned around. 24>x is thw same thing as x<24.

Hope this helped :)

Answer:

D

Step-by-step explanation:

x+3≥12

<=> x≥8

so 8 is less than x

x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)

Answer:

Tim read 81 pages.

Step-by-step explanation:

If he read 3 pages on Monday and tripled the amount of pages he red based of off the amount of pages he read the previous day, he would have read 3 pages on Monday, 9 pages on Tuesday, 27 pages on Wednesday, and 81 pages on Thursday.

Monday: 3

Tuesday: 3 x 3 = 9

Wednesday: 9 x 3 = 27

Thursday: 27 x 3 = 81

I hope this helps you! :D

Answer: 1/8

Step-by-step explanation:

1/2 x 1/4 = 1 x 1/2 x 4

Answer:

[tex]hope it help you\left \{ {{y=2} \atop {x=2}} \right.[/tex]

Step-by-step explanation:

Answer:

there should be 4 points below the trend line

Step-by-step explanation:

4

Answer:

Point N(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \sqrt{x - 3}[/tex]

[tex]\displaystyle y' = \frac{1}{2}[/tex]

Step 2: Differentiate

Step 3: Solve

Find coordinates

x-coordinate

y-coordinate

∴ Coordinates of Point N is (4, 1).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

10x2 - 5 (the 2 has to be small too.)

Answer:

[tex](x-7)^2+y^2=1[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and the radius is r

1) Plug in the given center (7,0)

[tex](x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2[/tex]

2) Plug in the radius (1)

[tex](x-7)^2+y^2=1^2\\(x-7)^2+y^2=1[/tex]

I hope this helps!

Answer:

1.465 years

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 per year,

Then, to solve for time t, when compound interest is compounded continuously, the formula is given as:

t = ln(A/P) / r

Where

A = Amount after time t = $5,789.00

P = Principal = Initial amount = $5,00

r = 0.1

Hence,

t = ln(5,789.00/5,000.00) / 0.1

t = 1.465 years

Therefore, the money was in the account for 1.465 years

Answer:

5 out of seven is  71%

THank Go oGle

Answer:

B-10⁰

Step-by-step explanation:

5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰

Answer:

Whats the question and if its adding the answer is 790.12

Step-by-step explanation:

Also, if you could answer my question that'dd be great!

Answer:

3 millimeters by 10 millimeters

Step-by-step explanation:

Answer:

look at the picture I have sent

Answer:

1.3

Step-by-step explanation:

First you simplify 2 3/5, which can be 2.6. You will find half of it so 2.6 divided by 2 equals 1.3. She traveled 1.3 miles or 1 3/10 miles before she stopped.

Answer:

(-4 - 2)

Step-by-step explanation:

-8 (1/2 + 1/4) = -6/1  = -6

-4 - 2 = -6

Answer:

No

Step-by-step explanation:

We need to tell that whether 8 satisfies the given inequality. The inequality is ,

[tex]:\implies[/tex] 48 < 4x

Putting x = 8

[tex]:\implies[/tex] 48 < 4x

[tex]:\implies[/tex] 48 < 4 * 8

[tex]:\implies[/tex] 48 < 32

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{48 < 4x}[/tex]

[tex]\large\textsf{TURN the given EQUATION}[/tex]

[tex]\mathsf{4x > 48}[/tex]

[tex]\large\textsf{DIVIDE 4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{4x}{4}>\dfrac{48}{4}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{4}{4}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{48}{4}}\large\textsf{ because it helps us compare to the x value.}[/tex]

[tex]\mathsf{x >\dfrac{48}{4}}[/tex]

[tex]\mathsf{\dfrac{48}{4}}\\\\\mathsf{= 48\div4}\\\\\mathsf{\boxed{\bf = 12}}[/tex]

[tex]\boxed{\mathsf{x > 12}}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \bf NO, because }\mathsf{\bf x < 12}\large\text{ \bf \& it is an O.P.E.N. circle shaded}}}\\\boxed{\boxed{\large\text{\bf the right}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

The answer is boxplot