what is the constant of porportionality between 9 and 4.5​

Answer:

The answer is mode, median, mean.

Step-by-step explanation:

From the smallest to the largest we have the mode, median, mean. If a distribution is positively skewed it means that it is right skewed. It tells us that the right tail of this distribution has longer length compared to the left tail. The average, mean would be moved slightly to the left, the mode occurs at the top while the median is in the middle.

Step-by-step explanation:

Team A time is    1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr

Team B =   1 / ( 1/3 + 1/3) =  1 1/2 hr

Team A wins !

Answer:  $4,000

Step-by-step explanation:

If the total earnings were $40,000 and the base pay was $10,000, then the commission earned would be $40,000 - $10,000 = $30,000.

Since the commission rate is 40%, we can set up the equation:

40% x Total Sales = Commission Earned

We know that the commission earned is $30,000, and we also know that 15 cars were sold. Therefore, we can solve for the average price of each car:

40% x Total Sales = Commission Earned

40% x (15 x Price per Car) = $30,000

6 x Price per Car = $30,000

Price per Car = $5,000

However, this is just the average price per car. Since the commission is based on the total sales, we need to calculate the actual commission earned on each car:

Commission per Car = 40% x Price per Car

Commission per Car = 40% x $5,000

Commission per Car = $2,000

Therefore, the total earnings of $40,000 divided by the number of cars sold (15) gives the amount earned per car:

Amount earned per Car = Total Earnings / Number of Cars Sold

Amount earned per Car = $40,000 / 15

Amount earned per Car = $4,000

Answer: 3 pounds

Step-by-step explanation: 12 - 4.50 = 7.50 7.50/2.50=3

Answer: 3000

Step-by-step explanation:

Since this is supposed to be square feet, you need to multiply 50 by 3 to convert yards to feet. So, this is 20x150 square feet, which is 3000 square feet.

Answer:

3,000 square feet.

Step-by-step explanation:

20 ft. x  50 yd.  x 3 ft.

                           1 yd.

= 3,000 square feet.

Answer:

i believe it is  - 9n/2 - 4

Step-by-step explanation:

Hope this helps

A 90% confidence interval for the mean number of children in all household in this city is 1.12 ± 0.328, using formula for confidence interval.

What are mean and standard deviation ?

The standard deviation is a summary measure of the differences of each  observation from the mean.

Formula to calculate confidence interval using mean and deviation:

mean ± Z*(std deviation/√n)

where n = sample size,

Given that :

mean = 1.12

deviation = 2.40

n = 144

We know Z is fixed for 90% confidence i.e. 1.64

So, the confidence interval = 1.12 ± 1.64*(2.4/√144)

                                              = 1.12 ± 1.64 * .2

                                               = 1.12 ± .328

Learn more about confidence interval using link :

https://brainly.com/question/14825274

#SPJ1

Answer:

12

Step-by-step explanation:

mean is calculated as

mean = \(\frac{sum}{count}\)

Here mean = 316 and sum = 3792 , count n is required to be found, so

\(\frac{3792}{n}\) = 316 ( multiply both sides by n )

3792 = 316n ( divide both sides by 316 )

12 = n

There are 12 observations in the data

There will be no change in the price of the car.

A number line is a representation of a graduated straight line used to abstract real numbers in elementary mathematics. Its points are considered to correspond to real numbers and vice versa.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Let the sticker price = x, Price reduced by $300

Hence the new price is,

N= x-$300

The cost of additional features = $900

Hence the new price for selling will be.

=x-$300+$900

=x+$600

Dealer also provides a discount of $600

Hence Final  selling price will be

=x+$600-$600

Hence there seems to be no change in the sticker price as the sticker price and the final selling price are the same.

To know more about number line follow

https://brainly.com/question/24644930

#SPJ1

The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

More about Lucas Sequence:

https://brainly.com/question/9807586

#SPJ1

Answer:

Step-by-step explanation:

Zinc:copper = 4:11

Amount of zinc = 4x

Amount of copper = 11x

11x = 418

x = 38 grams

Amount of zinc = 4x = 152 grams

The amount of the investment after 8 years will be, $4,357.64

Given, $500 is invested in an account earning 7% interest compounded quarterly.

We have to find the value of the invested amount after 8 years,

as, Amount = P(1 + r/100)^t

where, P is the amount of money invested, r is the rate of interest and t is the amount of time

Amount = 500(1 + 7/100)^(8×4)

Amount = 500(1.07)^32

Amount = 500×8.715

Amount = 4,357.635

So, the amount of the investment after 8 years will be, $4,357.64

Hence, the amount of the investment after 8 years will be, $4,357.64

Learn more about Compound Interest here https://brainly.com/question/24274034

#SPJ9

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

FG and KH are congruent using the AAS theorem. ∠F = ∠K and ∠G = ∠H

The AAS (Angle-Angle-Side) Congruence Theorem is a geometric theorem that states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

In other words, if two triangles have two corresponding angles that are congruent, and the included side between these angles is also congruent in both triangles, then the two triangles are congruent.

The diagram shows that we have two triangles here. The first triangle is equal to the second triangle.

This is shown by the fact that the angle at F = angle at K

the angle at H = angle at G

Read more on congruent triangles here:https://brainly.com/question/2938476

#SPJ1

Answer:

use AAS for this

Step-by-step explanation:

The answer is:

g(x + 1) = 6x + 1

g(4x) = 24x -5

Work/explanation:

To evaluate, I plug in x + 1 into the function:

\(\sf{g(x)=6x-5}\)

\(\sf{g(x+1)=6(x+1)-5}\)

Simplify

\(\sf{g(x+1)=6x+6-5}\)

\(\sf{g(x+1)=6x+1}\)

------------------

Do the same thing with g(4x)

\(\sf{g(4x)=6(4x)-5}\)

\(\sf{g(4x)=24x-5}\)

Hence, these are the answers.

Answer:

C) 7/2 minutes per lap

Step-by-step explanation:

7 laps/ 2minutes. To find how many minutes it takes Beth to swim one lap, which is her in minutes per lap, you have to divide 7/2 to get 3.5 min/1 lap, or 7/2 min/1 lap.

Answer:

x = 55.6

Step-by-step explanation:

Recall the 3 main trig functions

Sin = opposite / hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent

Note that hypotenuse = longest side length

We want to find angle "x".

We are given its opposite side length ( 19 ) as well as the adjacent side length

When dealing with the opposite and adjacent we use tan

Tan = Opp / Adj

Opp = 19 and Adj = 13

Tan(x) = 19/13

* take the inverse tan of both sides *

x = 55.6

The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

for such more question on slope-intercept form

https://brainly.com/question/11990185

#SPJ8

Answer:

The absolute value is always a positive number except for zero. More defined answer below...

Step-by-step explanation:

|x| = x if x is positive, and |x| = −x if x is negative (in which case −x is positive), and | 0 | = 0

Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

learn more about Transformations

https://brainly.com/question/5994940

#SPJ1

Answer:

Step-by-step explanation:

The formula to calculate the forecast could be determine by using the exponential smoothing method :

\(Ft = F(t-1) + \alpha [A(t-1) - F(t-1)]\)

Where ,Ft is the Forecast for period t

F(t-1) is the Forecast for the period previous to t

A(t-1) is the Actual demand for the period previous to t

\(\alpha\) = Smoothing constant

To get the forecast for may and june   the above formula with \(\alpha =0.5\) and april forecast of 500 will be used

For march

\(=500+0.5(520-500)\\\\=500+0.5\times20\\\\=500+10\\\\=510\)

For April

\(=510+0.5(535-510)\\\\=510+0.5\times25\\\\=510+12.5\\\\=522.5\)

For May

\(=522.5+0.5(550-5225)\\\\=522.5+0.5\times27.5\\\\=522.5+13.75\\\\=536.25\)

So forecast for May = 536.25

The value of a in the equation 60°a = [? ]° is dependent on the value of [? ].

To solve for a in the equation 60°a = [? ]°, we need to isolate a on one side of the equation. We can do this by dividing both sides of the equation by 60°:

60°a / 60° = [? ]° / 60°

This simplifies to:

a = [? ]° / 60°

Since we don't have the value of [? ]°, we cannot determine the exact value of a. However, we can simplify the expression by canceling out the ° units:

a = [? ] / 60

Therefore, the value of a is dependent on the value of [? ].

Learn more about solving for a in an equation involving angles here:

https://brainly.com/question/29261700

#SPJ14

Answer:

the area is 32

Step-by-step explanation: 2 x 2 x 2 x 2 x 2= 32

Answer:

14,756

Step-by-step explanation:

217*68 = 14,756

Hope this helps!

Could you mark me as brainiest?

It would help me a lot!

Thank you!

Answer:

$35.7

Step-by-step explanation:

you can convert 15% to a decimal by dividing by 100.

15/100 = .15

if you multiply the decimal by the cost of the shirt you get how much the discount is.

0.15 * $42 = 6.30

so a 15% discount on a $42 shirt is $6.30 off. So you subtract the discount from the total cost.

$42 - $6.30 = $35.70 that is the sale price of the shirt.

Answer:

$35.7

Step-by-step explanation:

Answer:

A. 0.11111

B. 17/100

C.0.232323

D. 6/9 or 2/3

E. 1.8888889

F. 4/11

G. 1.45454545

H. 3/100

Step-by-step explanation:

Convert them to fractions and decimals

Answer:

the volume of the toy house is 66cm3

2 cups of 10% sugar solution and 6 cups of 30% sugar solution.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements

Let,

x = number of cups of the 10% solution

y = number of cups of the 30% solution

As this is the whole amount we need, the two mixtures sum up to 8 cups. Consequently, the first equation is just x + y = 8

Solve for y to get y = 8-x. We'll use this equation later.

The second equation is a bit more tricky.

0.10x = amount of pure sugar from just the 10% batch

0.30y = amount of pure sugar from just the 30% batch

0.10x+0.30y = total amount of pure sugar from both batches

25% of 8 = 0.25×8 = 2 = total amount of pure sugar required

0.10x+0.30y = 2 is the second equation

Apply substitution to solve for x and y

0.10x+0.30y = 2 ..... start with the second equation

0.10x+0.30(8-x) = 2 ....... plugin y = 8 - x

0.10x + 2.4 - 0.30x = 2 ..... distribute

- 0.20x + 2.4 = 2 - 0.20x = 2-2.4 ....... subtract 2.4 from both sides

-0.20x = - 0.4

x = -0.4/(-0.20)

x = 2

Now that we know the value of x, we can find y.

y = 8 - x

y = 8 - 2 ... plug in x = 2

y = 6

So we need 2 cups of the 10% solution and 6 cups of the 30% solution.

As a check,

x + y = 2 + 6 = 8 works out

0.10x + 0.30y = 0.102 + 0.306 = 0.2 + 1.8 = 2 works out as well

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

Check the picture below.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{8}\\ a=\stackrel{adjacent}{2}\\ o=\stackrel{opposite}{x} \end{cases} \\\\\\ x=\sqrt{ 8^2 - 2^2}\implies x=\sqrt{ 64 - 4 } \implies x=\sqrt{ 60 }\)