Caroline, Colin & Sarah share some money. Caroline gets 1 /9 of the money. Colin and Sarah share the rest in the ratio 1:3. What proportion does Colin get?

I need this ASAP. Will award brainliest answer.
Thanks

Answer: n = 267

Step-by-step explanation: Margin of Error shows the percentage that will differ the result you get from the real population value or, in other words, is the range of values in a confidence interval.

It can be calculated as

margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]

in which

z is z-score related to the confidence interval, which is this case is 1.96;

s is standard deviation;

n is the number in a sample;

So, the number of mice must be:

margin of error = [tex]z\frac{s}{\sqrt{n} }[/tex]

[tex]0.6=1.96\frac{5}{\sqrt{n} }[/tex]

[tex]\sqrt{n}=\frac{1.96*5}{0.6}[/tex]

[tex]\sqrt{n}=16.33[/tex]

n = 267

For the margin of error with 95% confidence interval be 0.6, it is needed 267 mice.

The total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267 and this can be determined by using the formula of margin of error.

Given :

The formula of margin of error can be used in order to determine the total number of mice. The formula of margin of error is given by:

[tex]\rm MOE = z\dfrac{s}{\sqrt{n} }[/tex]

where z is the z-score, s is the standard deviation, and n is the sample size.

Now, substitute the known values in the above formula.

[tex]\rm 0.6 = 1.96\times \dfrac{5}{\sqrt{n} }[/tex]

Simplify the above expression in order to determine the value of 'n'.

[tex]\rm n =\left(\dfrac{1.96\times 5}{0.6}\right)^2[/tex]

n = 267

Therefore, the total number of mice must be weighed so that a 95% confidence interval will have a margin of error of 0.6 grams is 267.

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Answer:

the y-intercept is -3

Step-by-step explanation:

x+y=3

-x      -x

y=-x-3

b=-3

Answer: Slope = -2.000/2.000 = -1.000

x-intercept = -3/1 = -3.00000

y-intercept = -3/1 = -3.00000

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x+y-(-3)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve x+y+3 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+y+3 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000

y-intercept = -3/1 = -3.00000

Calculate the X-Intercept :

When y = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

x-intercept = -3/1 = -3.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -2.000/2.000 = -1.000

Geometric figure: Straight Line

Slope = -2.000/2.000 = -1.000

x-intercept = -3/1 = -3.00000

y-intercept = -3/1 = -3.00000

a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.Answer:

Step-by-step explanation:

a company spent a total of 14,400th in 2001 for the maintenance of its cars a. copy and complete the table below. b. calculate the average expense for car maintenance. vs. maintenance costs have been shown in the circular diagram opposite, but the legend has been deleted. restore this legend.

Answer: -0

The absolute value of any number is positive so you can say the absolute value of -0 is 0 and it’ll be true. You can also say the absolute value of 0 is 0.

Answer:

x² - 6x + 9

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

x² + 6x + 9

Step 2: Find Roots α and β

Step 3: Solve

Answer:

it is a function

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope of the line =3\2

Answer:

its -0.67

Step-by-step explanation:

i typed it into my algevra calc

Answer:

50.4

Step-by-step explanation:

42 * 0.02 = 8.4

42 + 8.4 = 50.4

Hi, you didn’t post answer choices but this should be it:

4x - 9 > 17

====================================================

Explanation:

The equation y = (2/9)x is in the form y = kx

In this case, k = 2/9.

The value of k is the constant of proportionality.

All direct proportion equations are in the form y = kx. Their graphs go through the origin. The slope of the line is the same as the constant of proportionality.

Answer:

125°

Step-by-step explanation:

x + 24 is equal to 1.

6 is equal to 4x + 1

1 and 4x + 1 = 180°

x + 24 + 4x + 1 = 180

4x + x + 24 + 1 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

5x/5 = 155/5

x = 31

(angle) 6 = 4x + 1

(angle) 6 = 4(31) + 1

(angle) 6 = 124 + 1

(angle) 6 = 125°

Answer:

Step-by-step explanation:

Solve for

x

by simplifying both sides of the equation, then isolating the variable.

Exact Form:

x

=

81

2

Decimal Form:

x

=

40.5

Mixed Number Form:

x

=

40

1

2

Answer:

x = 81/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

2/3x = 27

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 27 does indeed equal 27.

∴ x = 81/2 is the solution to the equation.

Answer:

profit 40 dollars

Step-by-step explanation:

Answer:

The velocity is being plotted. The velocity value indicates how fast the object is moving.

Step-by-step

C on the first one and C on the second one lol

Give brainlest PLZZZ

Answer:

its b to 9 seconds 40 meters per second

Step-by-step explanation:

the test was right

I found: Domain: all real x ; Range: all real y

Answer:

   Adult tickets sold:   156

Step-by-step explanation:

   Adult ticket:   x

Student ticket:  y

x + y = 260                  ===>   -6(x + y = 260)     ===>  -6x -6y = -1560

6x + 4.5y = 1404         ===>                                           6x + 4.5y = 1404

                                                                                  ________________

add the two equations to eliminate a variable:                  -1.5y = -156

divide by -1.5:                                                                              y = 104

substitution to find x:

      x + y = 260

  x + 104 = 260

            x = 156

Answer:

110%

Step-by-step explanation:

4000   100

8400     ?

8400x100

   4000

210% of the expected people showed up

Answer:

true because when you add negatives it's the same as subtracting, so, you're just going further negative

Answer:

Its [tex]-6x^(3)+ x^(2) - \sqrt(5)[/tex]

Step-by-step explanation:

The algebraic expression that is a polynomial is -6x³ + x² - √5

A polynomial function is an expression that consists of different types of variables. They include non-zero coefficients, positive exponents, and constants.

Types of polynomals include:

To learn more about linear functions, please check: https://brainly.com/question/26434260

Answer:

Step-by-step explanation:

Given

The distance between basement and second story floors:

the frog will be 4 inches long

Answer:

i think its m=4 too

Step-by-step explanation:

mhhhh

Answer:

v=7

Step-by-step explanation:

my previous answer was incorrect, my bad

Answer: v=-7

Step-by-step explanation:

3(23−2v)+3v=48

Distribute:

69-6v+3v=48

Combine like terms:

-6v+3v=-3v

69-3v=48

Subtract 69 on both sides:

69-69-3v=48-69

-3v=-21

Divide 3 on both sides:

-3v/3=-21/3

v=-7

Answer:

slope is 2

Step-by-step explanation:

simplify this equation so that you can get to "y ="

your equation is: 6x - 3y = 5

start by subtracting 6x from both sides: -3y = -6x - 5

then divide both sides by -3 to isolate y: y = 2x - 5/3

so now we can clearly see that the slope is 2, since that is what is right next to x

Answer:

(-2,4)

x = -2 y = 4

I hope this helps

Answer:

t = 0 , d = 0

t = 2, d = 22

t= 4, d = 44

t = 6, d = 66

Step-by-step explanation:

Here, given the equation that relates the time in seconds to the distance in feet, we want to complete the given table

From the equation, we have that d = 11t

This mean that by multiplying the time by 11, we get the distance

Thus, we have that ;

when t = 0

d = 11 * 0 = 0

when t = 2

d = 11 * 2 = 22 ft

when t = 4

d = 11 * 4 = 44 ft

when t = 6

d = 11 * 6 = 66 ft

Given the equation that models the proportional relationship, the missing values in the table are: 0, 22, 44, and 66.

Given:

d = 11t

Find the corresponding values of d by plugging in the given values of t:

When t = 0,

d = 11(0) = 0

When t = 2,

d = 11(2) = 22

When t = 4,

d = 11(4) = 44

When t = 6,

d = 11(4) = 66.

Therefore, given the equation that models the proportional relationship, the missing values in the table are: 0, 22, 44, and 66.

Learn more about proportional relationship on:

https://brainly.com/question/15618632

Answer:

10

Step-by-step explanation:

x³=1000

x=3√1000

x=10

Answer:

x = 10   or   x = -5 + 5*i*sqrt(3)   or   x = -5 - 5*i*sqrt(3)

Step-by-step explanation:

x^3 = 1000

x^3 - 1000 = 0

(x - 10)(x^2 + 10x + 100) = 0

x = 10 or x^2 + 10x + 100 = 0

x = 10 or x^2 + 10x + 25 = -100 + 25

x = 10 or (x + 5)^2 = -75

x = 10 or x + 5 = sqrt(-75) or x + 5 = -sqrt(75)

x = 10   or   x = -5 + 5*i*sqrt(3)   or   x = -5 - 5*i*sqrt(3)

Answer:

Step-by-step explanation:

Area formula:

Area of circle D:

Area of circle D'

Required relationship: