Jenny has six cards.
Each card has a whole number written on it so that the smallest number is 5
the largest number is 24
the median of the six numbers is 14
the mode of the six numbers is 8
Jenny arranges her cards so that the numbers are in order of size.
5,-,-,-,-,24.
(a) For the remaining four cards, write on each line a number that could be on the card.

Answers

Answer 1

Mean is the ratio of the sum of data to the ample size. The remaining four cards that could be on the card are 8, 8, 16 and 22

Measure of dispersion

Mean is the ratio of the sum of data to the ample size. Median is the middle number after rearrangement while the mode is the most occurring number.

Given the sequence of numbers in order of size as 5, _, _, _, _ 24

Since 2 number falls in the middle and the median is 14, hence:

x +y/2 = 14

Since 8 is the mode, we can assume x = 8 in order to determine "y" as shown

8+y/2 = 14
8+y = 28
y = 16

The sequence of numbers will become 5, 8, 8, 16, _ 24 (8 was repeated twice being the mode)

The last unknown number can then be any value between 16 and 24. Using 22 as the last unknown value, the remaining four cards that could be on the card are 8, 8, 16 and 22

Learn more on measure of dispersion here: https://brainly.com/question/8910182


Related Questions

if x+y= -10 and x=2 what is the value of x

Answers

Answer:

x = 2     y = -12

Step-by-step explanation:

x+ y = -10

2 + y = -10

      y = -10 -2 = -12

Mrs. Welch and her 5 children are shopping at a local grocery store. Each of the children will be allowed to select one box of cereal for their own from the 8 different boxes of cereal available​ (there are no two the​ same). In how many ways can the selections be​ made?

Answers

Her 5 Children? but they have 8 different boxes?

Question 8 of 10
If a student answered 69 exam questions correctly out of 100, what fraction
and what percentage of questions did the student answer incorrectly?
Choose two answers. Need help ASAP
A.
30/100

B. 0.69%
C. 31%
D. 69%
E. 31/100
F. 69/100

Answers

Answer: I believe B and F

Step-by-step explanation:

I think it is E
Hope this help?!

Question is in picture

Answers

Answer: Heat pollution.

If you are to search up

heat pollution occurs because?

the answer that will pop up is:

The main reasons of thermal pollution are industries and power plants, withdrawing water (a powerful sink for heat waste) from streams for cooling their generators and machines, and then releasing back into the water bodies, which elevates the temperature of freshwater habitats (Miara et al., 2018).

Edna, Fatimah and Toby had a sum of money. The amount of money Edna had was 4 times the amount of money Fatimah had. The ratio of the amount of money Fatimah had to the total amount of money Toby and Fatimah had was 5:8. After Fatimah gave $30 to Toby, Toby had as much money as Fatimah. How much more money did Edna have than Toby in the end?



HELP ME PLEASE ! HOMEWORK DUE IN LESS THAN 2 HOURS! NO CLUE ON HOW TO DO THIS ! OFFERING 15 POINTS​

Answers

Answer:

Edna had $510 more amount of money than Toby in the end.

Step-by-step explanation:

LET :-

Edna's amount of money - x

Fatimah's amount of money - y

Toby's amount of money - z

Now,

By the question,

x = 4y

y : (y + z) = 5 : 8

y - 30 = z + 30

Now,

y : (y + z) = 5 :8

or, y/(y + z) = 5/8

or, 8y = 5y + 5z

or, 3y = 5z

so, y = 5z/3

Now,

y - 30 = z + 30

or, 5z/3 - 30 = z + 30

or, (5z - 90)/3 = z + 30

or, 5z - 90 = 3z + 90

or, 5z - 3z = 90 + 90

or, 2z = 180

so, z = 90

Toby's amount of money - $90

Now,

y = 5z/3

or, y = 5 * 90/3

or, y = 5 * 30

so, y = 150

Fatimah's amount of money - $150

Again,

x = 4y

or, x = 4*150

or, x = 600

Edna's amount of money - $600

Now,

$600 - $90

= $510

Therefore,Edna had $510 more amount of money than Toby in the end.

X' + 2y' + x = 0 , x' - y' + y = 0 x(0) = 0 and y(0) = 1

Answers

This looks like a system of differential equations.

[tex]\begin{cases}x' + 2y' + x = 0 \\ x' - y' + y = 0 \\x(0)=0, y(0)=1\end{cases}[/tex]

Eliminating x' gives

[tex](x'+2y'+x)-(x'-y'+y) = 0 - 0 \implies 3y' - y + x = 0[/tex]

and eliminating y' gives

[tex](x'+2y'+x) + 2(x'-y'+y)=0+2\times0 \implies 3x' + x + 2y = 0[/tex]

so that we can rewrite the system as

[tex]\begin{cases}3x' = -x - 2y \\ 3y' = -x + y\end{cases}[/tex]

or equivalently in matrix form as

[tex]\begin{bmatrix}x\\y\end{bmatrix}' = \dfrac13 \begin{bmatrix}-1&-2\\-1&1\end{bmatrix} \begin{bmatrix}x\\y\end{bmatrix}[/tex]

Compute the eigenvalues for the coefficient matrix:

[tex]\det\begin{bmatrix}-1-\lambda&-2\\-1&1-\lambda\end{bmatrix} = (-1-\lambda)(1-\lambda) - 2 = \lambda^2 -3 = 0 \implies \lambda=\pm\sqrt3[/tex]

Compute the corresponding eigenvectors:

[tex]\lambda=\sqrt3 \implies \begin{bmatrix}-1-\sqrt3&-2\\-1&1-\sqrt3\end{bmatrix}\begin{bmatrix}v_1\\v_2\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix} \\\\ \implies v_1=(1-\sqrt3)v_2 \implies \vec v = \begin{bmatrix}1-\sqrt3\\1\end{bmatrix}[/tex]

[tex]\lambda=-\sqrt3 \implies \begin{bmatrix}-1+\sqrt3&-2\\-1&1+\sqrt3\end{bmatrix}\begin{bmatrix}v_1\\v_2\end{bmatrix}=\begin{bmatrix}0\\0\end{bmatrix} \\\\ \implies v_1 = (1+\sqrt3)v_2 \implies \vec v = \begin{bmatrix}1+\sqrt3\\1\end{bmatrix}[/tex]

We end up multiplying the matrix by 1/3, so the eigenvalues also get scaled by 1/3 and λ = ±1/√3. The eigenvectors stay the same.

Then the characteristic solution to the system is

[tex]\begin{bmatrix}x\\y\end{bmatrix} = C_1 e^{t/\sqrt3} \begin{bmatrix}\frac{1-\sqrt3}3\\\frac13\end{bmatrix} + C_2 e^{-t/\sqrt3} \begin{bmatrix}\frac{1+\sqrt3}3\\\frac13\end{bmatrix}[/tex]

Use the initial conditions to solve for the constants.

[tex]\begin{bmatrix}0\\1\end{bmatrix} = C_1 \begin{bmatrix}\frac{1-\sqrt3}3\\\frac13\end{bmatrix} + C_2 \begin{bmatrix}\frac{1+\sqrt3}3\\\frac13\end{bmatrix}[/tex]

[tex]\implies \begin{cases}(1-\sqrt3) C_1 + (1+\sqrt3) C_2 = 0 \\ C_1 + C_2 = 3\end{cases}[/tex]

[tex]\implies C_1=\dfrac{3+\sqrt3}2, C_2=\dfrac{3-\sqrt3}2[/tex]

Then the particular solution is

[tex]\begin{bmatrix}x\\y\end{bmatrix} = \dfrac{3+\sqrt3}6 e^{t/\sqrt3} \begin{bmatrix}1-\sqrt3\\1\end{bmatrix} + \dfrac{3-\sqrt3}6 e^{-t/\sqrt3} \begin{bmatrix}1+\sqrt3\\1\end{bmatrix}[/tex]

or

[tex]\begin{cases}x(t) = -\dfrac1{\sqrt3} e^{\sqrt3 \, t} + \dfrac1{\sqrt3} e^{-\sqrt3\,t} \\\\ y(t) = \dfrac{3+\sqrt3}6 e^{\sqrt3\,t} + \dfrac{3-\sqrt3}6 e^{-\sqrt3\,t}\end{cases}[/tex]

Please help me solve this question

Answers

Answer:D

Step-by-step explanation: Multiply the expression

Find the turning point of y=x^2+10x+12

Answers

Answer:

vertex = (- 5, - 13 )

Step-by-step explanation:

given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the turning point ( vertex) is

x = - [tex]\frac{b}{2a}[/tex]

y = x² + 10x + 12 ← is in standard form

with a = 1, b = 10 , then

x = - [tex]\frac{10}{2}[/tex] = - 5

substitute x = - 5 into the equation and evaluate for y

y = (- 5)² + 10(- 5) + 12 = 25 - 50 + 12 = - 13

turning point = (- 5, - 13 )

Variability ? I'm confused

Answers

Variability in statistics… Let's see...dispersion is the degree to which a percentage is stretched or even squeezed. Some examples of measures of statistical “dispersion” ( or distribution) are the variance, standard deviation, and interquartile span. Like when the variance of data in a set is big; the data is gretaoy dispersed. (Variance is the measure of “variability” and for shorter terms of what I said, it is basically computed by taking the average of squared deviations from the thing.) hope I helped ask me for any questions I’m a 5th grader who likes science. Sorry I took to long to respond I had to look back at my notes for a better explanation.

A store's change in total revenue over a 4-month period is −$1240. What is the average change in revenue per month for that period?
Answer Choices:
−$4960

−$310

$310

$4960

Answers

Answer: -310

Step-by-step explanation:

-1240÷4

20 POINTS!!! PLEASE ANSWER

Answers

Answer: C

Step-by-step explanation:

[tex]5\left(4x+5\right)[/tex]

[tex]\mathrm{Apply\:the\:distributive\:property}:\quad \:a\left(b+c\right)=ab+ac[/tex]

[tex]=5\cdot \:4x+5\cdot \:5[/tex]

[tex]\bf=20x+25[/tex]

I WILL GIVE YOU 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

To find the missing angle's measure

 ⇒ important to understand the sum of the angles of a triangle

    ⇒ the sum of every angle of any triangle in all cases equal to 180

         degrees

What is the information given:

 ⇒ one angle is of 94 degrees and the other of 46 degrees

Using the information in the first section and the information given in the diagram, let's set up an equation:

  [tex]94+46+x = 180\\140+x = 180\\x = 40[/tex]

The measure of the missing angle is 40 degrees

Hope that helps!

12) A job offers you $15 an hour. Your boss
states that a percentage of your check will
be taken out for taxes, and then $35 for
medical insurance and $4 for dental
insurance. If you worked 38 hours, and
your total paycheck (for the week) was
$462.60, what percentage is taken out for
taxes?

Answers

Answer:

12%

Step-by-step explanation:

Total paycheck before taking out taxes and insurance :

38×15 = 570

Left Amount of money after applying taxes :

570 - 570×(p/100)

= 570×[1 - (p/100)]

= 570×[(100-p)/100]

= (570/100) × [100 - p]

= 5.7 × [100 - p]

After taking out  the insurance amounts we can write this equation:

.,7 × [100 - p] - (35+4) = 462.6

⇔ 5.7 × [100 - p] - 39 = 462.6

⇔ 5,7 × [100 - p] = 462.6 + 39

⇔ 5,7 × [100 - p] = 501.6

⇔ 100 - p = 501.6/5.7

⇔ 100 - p = 88

⇔ p = 100 - 88

⇔ p = 12

A raffle ticket is sold for $3.50 each and the prize for winning the raffle is $250. If 100
people entered the raffle, what is:
the expected value? =

are you expected to win or lose the raffle? =

a fair price for the raffle ticket? =

Answers

Expected to lose. they initially paid $350 for the tickets and are up charging the price. and the winning price is $100 less.


What does the notation P(B|A) mean?

Answers

Answer:

the answer for this one it should be the probability or chances that the event b occurs when the event a has occured.

Step-by-step explanation: I hope this help you pal or folk and have a great day.

Find the equation that represents the relationship between the variables.

Answers

to get the equation of any straight line, we simply need two points off of it, hmmm let's use (0 , 10) and (8 , 30) from the table

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{30}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{30}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{0}}}\implies \cfrac{20}{8}\implies \cfrac{5}{2}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{\cfrac{5}{2}}(x-\stackrel{x_1}{0}) \\\\\\ y-10=\cfrac{5}{2}x\implies y=\cfrac{5}{2}x+10[/tex]

Amanda invests a sum of money in a retirement account with a fixed annual interest rate of 9 % compounded ontinuously . After 19 years , the balance reaches $38,956.06. What was the amount of the initial investment ?

Answers

Answer:

  $7045.82

Step-by-step explanation:

The formula for the balance of an account earning interest at rate r compounded continuously for t years is ...

  A = Pe^(rt)

We want to find P, given the other parameters in this formula.

__

  38956.06 = P(e^(0.09×19)) = P(5.52896148)

  P = 38956.06/5.52896148 ≈ 7045.82

The amount of the initial investment was about $7045.82.

Please help meeee!!!!!

Answers

Answer:

Now plot those points in graph and find intersection hope it helps you.......

What is the slope of the equation y-3 = -4(X - 5)?
04
0-3
20
023

Answers

M=-4

M=-4 M=-4 M=-4 M=-4 M=-4 M=-4 M=-4
Slope-intercept form: y = mx + b
y -3 = -4(x - 5)
y- 3 = -4x -5*(-4)
y - 3 = -4x + 20
y = -4x + 20 + 3
y = -4x + 23
On comparing with the y=mx+b,
Slope = m = -4

What is 0.353 rounded to the nearest tenth

Answers

0.4 .

Explanation
Rounding to the tenth, you look at the 2nd number after the period, if it’s greater than 5 or 5 itself u and 1 to the first number after the period. Back to the question 0.353 , the 2nd number after the period is 5, so u add 1 to the 1st number after the period with it’s 3 and 3+1=4. If you are rounding to tenth only leave one number after the period with gives you 0.4. Hopefully you get it.

Please please help!!! will give brainliest

Answers

Answer: i think the answer is 116. if it is not i am terribly sorry.

Step-by-step explanation:

What is 40/17 rounded to the nearest hundred

Answers

The answer is 2.3529411etc, and hundredth is two digit to the right of the decimal, so it's2.35 and the question said is rounded so we should see the next digit-thounsandth, and use Rounding method the thounsandth digit number is 2,it'sless than 5, so it shouldn't add
So the answer is 2.35

Please help!!!!!!!! Determine the function which corresponds to the given graph.

Answers

The rational function shown in the graph is:

[tex]y = \frac{x - 6}{x - 5}[/tex]

How to determine the function?

First, we can see that we have an asymptote at x = 5, so the denominator becomes equal to zero when x = 5.

Then the rational function is something like:

[tex]y = \frac{g(x)}{x - 5}[/tex]

We also can see that when x = 6, the function intercepts the x-axis, then we must have that:

g(6) = 0

So we can define:

g(x) = x - 6

So the rational function is:

[tex]y = \frac{x - 6}{x - 5}[/tex]

If you want to learn more about rational functions, you can read:

https://brainly.com/question/1851758

68 is 17% of what number?
68 = 0.17 • X
x = [?]

Answers

Answer:

400

Step-by-step explanation:

Division cancels multiplication. Divide by 0.17 to isolate "x" on the right side of the equation.

68 = 0.17 * x

divide both sides by 0.17

400 = x

68 is 17 percentage of the number 400.

To find the number that 68 is 17% of, we can set up the equation:

17% of x = 68

To solve for x, we need to divide both sides of the equation by 17% (or 0.17 as a decimal):

x = 68 / 0.17

Evaluating the division:

x=400

Therefore, 68 is 17% of 400.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ6

Nancy Regan purchased a new diamond bracelet for $12,600. The state sales tax is 6% and the federal excise tax on the jewelry is 11%. What is the total purchase price of the bracelet? Round your answer to the nearest cent.

Answers

Using proportions, it is found that the total purchase price of the bracelet is of $10,769.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, we consider the two taxes, of 6% and 11%, hence the price suffers an increase of 17%, that is, the price is multiplied by 117% = 1.17 to reach $12,600, hence:

1.17p = 12600

p = 12600/1.17

p = 10769.

The total purchase price of the bracelet is of $10,769.

More can be learned about proportions at https://brainly.com/question/24372153

all ratios equivalent to 6:4.

Answers

Answer:

Give two equivalent ratios of 6 : 4. 6 : 4 = 6/4 So, equivalent ratios are 6/4 × 2/2 = 12/8 = 12:8 6/4 × 3/3 = 18/12 = 18:12 So, 6 : 4 = 12 : 8 = 18 : 12

Step-by-step explanation:

Convert the decimal to a percent. 0.725

Answers

Answer:

72.5% out of 100%

Step-by-step explanation:

0.725 is 72.5% of 1. 100% technically counts as 1. so 72.5%

.725=72.5%
.725 is out of 1, and you multiply that number by 100 to get the percentage

How many grams are in 2.2 kilograms?​

Answers

Step-by-step explanation:

the word kilo means thousand. By that logic we know that 2200 grams are in 2.2 kilograms

Paige mixed 11 gallons of lemonade and poured it into
seven 6-quart jugs. How many cups of lemonade were left
over after she filled the jugs?

Answers

Answer:

152 cups

Step-by-step explanation:

1. 44 quarts are in 11 gallons.

2. 44-6=38.

3. There are 152 cups in 38 quarts.

What is 56 ÷ (-8) = ___ need fast will give brainliest

Answers

Answer:

-7

Step-by-step explanation:

^

Answer:

-7

Step-by-step explanation:

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