5 positive integers that have a mode of 2, a median of 5, a mean of 6 and a range of 10.

2,2,5,9,12

Answers

Answer 1

The numbers should be 2, 2, 5, 9 and 12.

What is mean, mode and median?

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list.

The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Let us take numbers 2, 2, 5, 9 and 12.

Mean = 192+2+5+9+12)/5

mean = 30/5

mean= 6

mode = 2

median = 5

range = 12-2

range = 10.

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Related Questions

An organization supports 125 villages financially. This figure is only 11% as compared to the organization's worldwide support. How many villages does the organization support worldwide?

Answers

If organisation supports 125 villages financially and it is 11% of world wide then the total villages in world wide that needs help is 1136.36 villages.

Given An organization supports 125 villages financially. This figure is only 11% as compared to the organization's worldwide support.

If 125 villages are 11% of worldwide villages who need help financially then we have to find 100% value according to organisation figure which can be calculated as under:

if 125 is 11% then 1% will be 125/11

then 100% will be 125/11*100

=12500/11

=1136.36

=1136 Approx

Hence 1136 villages are totally present worldwide which need help financially.

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Given the graph of the function, f(x), what is the value of f (–2)?
f (–2) =

Answers

Using the graph of the function concept, the numeric value at x = 2 is f(-2) = 0.

How to find the numeric value of a function?

To find the numeric value of a function at x = a, we look at the value of y(vertical axis) where x = a has a closed interval.

Researching the problem on the internet, looking at it's graph, it is found that when x = -2, there is a closed interval at y = 0, hence f(-2) = 0.

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Answer:

0A: (-∞, ∞)B: (-2, ∞)

Step-by-step explanation:

find the inequality for 20 points pls

Answers

y is less than or equal to negative one third plus one

First find the Slope-intercept form of the graph:

b=1

Given the points: (0,1)&(3,0)

slope= [tex]\frac{y1-y2}{x1-x2} =\frac{1-0}{0-3} =\frac{-1}{3}[/tex]

The line is not a dashed line, so that means the values on the slope (blue) are also counted

All the y values below the slope are counted, the inequality is:

y[tex]\leq \frac{-1}{3}x +1[/tex]

Hope it helps!

Select the correct answer.
Consider the given functions.

A table with values of x and f of x is given along with a non-linear equation g of x equals 2 power x minus 5 and a graph solving the equation

Select the true statement regarding the end behavior of the functions.

Answers

Using limits, it is found that the true statement regarding the end behavior of the function is given by:

B. As the value of x increases, f is the only function to approach 0.

How to find the end behavior of a function?

The end behavior of a function is given by the limit of the function as x goes to infinity.

In this problem, we have that:

[tex]\lim_{x \rightarrow \infty} f(x) = 0[/tex], as we can see from the table, when x increases, y decreases. [tex]\lim_{x \rightarrow \infty} g(x) = 2^{\infty} = \infty[/tex].[tex]\lim_{x \rightarrow \infty} h(x) = \infty[/tex], from the graph.

Hence statement B is correct.

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[tex]\frac{4x}{x-1} -\frac{5x}{x-2}=\frac{2}{x^{2} 3x+2}[/tex]

Answers

The value of x in the equation [tex]\frac{4x}{x - 1} - \frac{5x}{x -2} = \frac{2}{x^2 - 3x + 2}[/tex] is x = -1 or x = -2

How to solve the equation?

The equation is given as:

[tex]\frac{4x}{x - 1} - \frac{5x}{x -2} = \frac{2}{x^2 - 3x + 2}[/tex]

Start by taking the LCM

[tex]\frac{4x(x - 2) - 5x(x - 1)}{(x - 1)(x -2)} = \frac{2}{x^2 - 3x + 2}[/tex]

Expand the denominator

[tex]\frac{4x(x - 2) - 5x(x - 1)}{x^2 -3x +2} = \frac{2}{x^2 - 3x + 2}[/tex]

Cancel out the common factor

4x(x - 2) - 5x(x - 1)= 2

Expand

[tex]4x^2 - 8x - 5x^2 + 5x = 2[/tex]

Evaluate the like terms

[tex]-x^2 - 3x = 2[/tex]

Rewrite as:

[tex]x^2 + 3x + 2 = 0\\[/tex]

Expand

[tex]x^2 + 2x + x + 2 = 0[/tex]

Factorize

x(x + 2) + 1(x + 2) = 0

Factor out x + 2

(x + 1)(x + 2) = 0

Solve for x

x = -1 or x = -2

Hence, the value of x in the equation [tex]\frac{4x}{x - 1} - \frac{5x}{x -2} = \frac{2}{x^2 - 3x + 2}[/tex] is x = -1 or x = -2

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Please help i dont get this at all so please i will highly appreciate it .Thank youuu!!!

Answers

Answer:

D

Step-by-step explanation:

Trust me

a television set was priced $1659 after a 30% discount. What original price before the discount?​

Answers

Answer:  $2370

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

Work Shown:

x = price before the discount

30% of x = 0.30x = amount saved

x - 0.30x = 0.70x = price after discount = 1659

0.70x = 1659

x = 1659/(0.70)

x = 2370

Given:SP= $1659Discount given= 30%OP= ?Note that:SP= Selling Price OP= Original Price To find:The original price of the television set before the discount was given.Solution:Original price is the actual selling price of an item which is also know as list price.

First we'll have to convert the percent into decimal.

We'll have to divide the value by 100.

[tex]\frac{30}{100}[/tex]

[tex]\bold{=0.30}[/tex]

Now, we can find the original price.

[tex]\large\boxed{\bold{Formula:OP= \frac{price}{1-Discount}}}[/tex]

We have all the necessary values to find the original price.

Let's solve!

Substitute the values according to the formula.

[tex]OP=\frac{1659}{1-0.30}[/tex]

OP= $2370

Therefore, the original price of the television set is $2370

AandBhave coordinates (-1,1.5) and (3,2).
Tangents to the curve have been drawn at A and B.
Calculate the gradient of the curve at A and at B.

Answers

Gradient = y2-y1/x2-x1 = 2-1.5/3-(-1) = 1/8

Gradient = 1/8


A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
A.y=-4x+5
B. Y=4x -5
C.2y=8x-10
D.-2y=-8x-10

Answers

answer :

A. y = – 4x + 5

Step-by-step explanation:

make y = 4x-5 equal to each of the answer choices and see if you get an answer

STEPS:

1.

make 4x - y = 5 into a y= equation

4x - y = 5 is  y = 4x-5

2.

then make y = 4x-5 equal to each of the answer choices and see if you get an answer

A.

4x-5 = -4x+5

8x = 10

x = 10/8 = 5/4

yes, it has one solution

its also an intersecting line because

one line has 4x and the other has -4x

4x and -4x are slopes and opposite signs so

the lines are intersecting

B.

4x-5 = 4x-5

since they are the same on both sides of the equal sign they have

infinite solutions

they are also both the same line

C.

2y=8x-10 when simplified is y=4x-5

so its just like choice B

they are also both the same line

4x-5 = 4x-5 which is

0 = 0

since they are the same on both sides of the equal sign

infinite solutions

they are also both the same line

D.

-2y=-8x-10 when simplified is y=4x+5

4x-5 = 4x+5 when you work it out you get the answer

0 = 5

since when you solve the equation and get 0 = 5

that means its there is no solution

its also parallel line because both lines have 4x as a slope

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Plsss helppppp I neeed this

Answers

Based on the calculations on the bisector of ST, the value of ST are equal to 38 and 30 respectively.

How to find the bisector of ST?

In order to determine the bisector of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

For exercise 1, we have:

ST = SM + MT

ST = 19 + 19

ST = 38.

For exercise 2, we have:

First of all, we would determine the value of x as follows;

3x - 6 = x + 8

3x - x = 8 + 6

2x = 14

x = 14/2

x = 7.

ST = SM + MT

ST = 3x - 6 + x + 8

ST = 3(7) - 6 + 7 + 8

ST = 30.

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Given the following formula,A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $300 each, and the desktop computers cost $225 each. How much would it cost to buy 18 notebooks and 12 desktop computers? How much would it cost to buy n notebooks and dd desktop computers?

Total cost, 18 notebooks and 12 desktop computers:

Total cost, n notebooks and dd desktop computers:

Answers

The cost to buy 18 notebooks and 12 desktop computers will be $8100.

The cost to buy n notebooks and d desktop computers will be 300n + 225d

What is the cost of a given material?

The cost of a given material is the amount attached and to be paid for getting that material.

From the given information:

The cost of notebook computers = $300The cost of desktop computers is $225 each

The cost to buy 18 notebooks and 12 desktop computers will be:

= 300(18) + 225(12)

= 5400 + 2700

= $8100

The cost to buy n notebooks and d desktop computers will be:

= 300(n) + 225(d)

= 300n + 225d

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Use the formula to solve the equation x^2 + 9x + 8 = 0.

Answers

Answer:

[tex]x=-8, -1[/tex]

Step-by-step explanation:

Given the equation [tex]x^{2} +9x+8=0\\[/tex],

By the quadratic formula,

[tex]x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex],

[tex]x=\frac{-(9)+-\sqrt{(9)^{2}-4(1)(8) } }{2(1)}=\frac{-9+-\sqrt{49 } }{2}=\frac{-9+-7 }{2}[/tex]

We have two different solutions for x where [tex]x=\frac{-9-7 }{2}[/tex] and [tex]x=\frac{-9+7 }{2}[/tex]

So, x = [tex]-16/2=-8[/tex] and [tex]x=-2/2=-1[/tex]

Therefore, the solutions to this quadratic equation is x = -8, -1, by the quadratic formula.

1-sinA+cosA / sinA+cosA-1 = 1+cosA/sinA​

Answers

Solution:

[tex]\dfrac{\left[\left(\sin ^{2} A+2 \times \sin A \times (1-\cos A)+(1-\cos A)^{2}\right]\right.}{\left[\left(1-\cos ^{2} A\right)-(1-\cos A)^{2}\right]}[/tex]

[tex]\dfrac{\left[\left(1-\cos ^{2} A\right)+2 \times \sin A \times (1-\cos A)+(1-\cos A)^{2}\right]}{\left[(1-\cos A)(1+\cos A)-(1-\cos A)^{2}\right]} [/tex]

[tex]\dfrac{(1-\cos A)[1+\cos A+2 \sin A+1-\cos A]}{[1-\cos A][1+\cos A-1+\cos A]} [/tex]

[tex]\dfrac{[2+2 \sin A]}{[2 \times \cos A]}[/tex]

[tex]\dfrac{2(1+\sin A)}{2 \times \cos A}[/tex]

[tex]\dfrac{1+\cos A}{\sin A} [/tex]

Hence Proved.

PLS HELPPPP I NEED AN ANSWER ASAP WILL GIVE BRAINIEST

What are the alternate exterior angle pairs in the picture below?

∠1 and ∠2, ∠7 and ∠8

∠1 and ∠8, ∠2 and ∠7

∠1 and ∠7, ∠2 and ∠8

Answers

Answer:

∠1 and ∠2, ∠7 and ∠8

Answer:

∠1 and ∠7, ∠2 and ∠8

Step-by-step explanation:

just took the quiz

Situation:
A 45 gram sample of a substance that's
used to sterilize surgical instruments has
a k-value of 0.15.
N = Noe kt
No initial mass (at time t = 0)
N= mass at time t
k= a positive constant that depends on
the substance itself and on the units
used to measure time
t-time, in days
Find the substance's half-life, in days.
Round your answer to the nearest tenth.
Enter the correct answer.
DONE
+?

Answers

The substance's half-life is 4.7 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.15

What is exponential decay?

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have an exponential function:

[tex]\rm N = N_oe^{-kt}[/tex]

Plug N = N⁰/2

[tex]\rm N_o/2 = N_oe^{-kt}[/tex]

[tex]\rm \dfrac{1}{2} = e^{-0.15t}[/tex]

Solving for t:

t = 4.62≈ 4.7 days

Thus, the substance's half-life is 4.7 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.15

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If m/BAD = 22°,
what is X?
A
C
22⁰
B
D

Answers

22 + 22 = 44

180 - 44 = 136

x is 136°.

Answer:

x = 136

Step-by-step explanation:

x = 180 - 22 - 22

  = 136

Which expression is not a polynomial?

x² - 2x
x³ +1
12x

Answers

Answer:

12x

Step-by-step explanation:

It has no exponent so it is not a polynomial

The amount of money that kailyn earns varies directly with the number of hours she works. if she works for 15 hours and makes 146.25, how much will she make in 40 hours.

Answers

Answer:

$390

Step-by-step explanation:

The wage rate for Kailyn is ($146.25/15 hours) = $9.75/hour

40 hours would result in:

(40 hours)*($9.75/hour) = $390

Chris opened up a new credit card and credit line with U.S bank. He is paying a 15% APR on all new purchases

A. if he has a balance of 2,800 on his credit card, how much does he owe in interest to the bank next month?

B. if he sends in a payment to U.S bank for $140, how much of that will go towards paying off his principle balance

Answers

Answer:

Which one does not belong to the group

A rectangular field with sides as shown below has to be fenced all around. If fencing posts have to be fixed at 1-metre intervals, how many posts are needed?

1. 167
2. 334
3. 668
4. 6840​

Answers

Step-by-step explanation:

the perimeter of a rectangle is

2×length + 2×width

so, here

2×95 + 2×72 = 190 + 144 = 334 m

so, yes, the answer 2. 334 is correct.

The solution is Option B.

The total number of posts is the total perimeter of the rectangular field and the value of N = 334 posts

What is the Perimeter of a Rectangle?

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P = 2 ( Length + Width )

Given data ,

Let the number of posts be = N

Fencing posts have to be fixed at 1-metre intervals

The perimeter of the rectangular field = number of posts

Now , the equation will be

The length of the rectangular field = 95 m

The width of the rectangular field = 72 m

Perimeter P of the rectangle = 2 ( Length + Width )

Substituting the values in the equation , we get

Perimeter of the rectangle P = 2 ( 95 + 72 )

On simplifying the equation , we get

Perimeter of the rectangle P = 2 ( 167 )

Perimeter of the rectangle P = 334 m

Now , the number of posts = perimeter of the rectangular

So , the number of posts N = 334 posts

Therefore , the value of N is 334

Hence , the number of posts is 334 posts

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Which graph shows the greatest integer function?

Answers

a) because since it is a greatest integer function, it includes the highest integer, but excludes the lowest since it is the highest integer when x is less than or equal to an integer but greater than x-1.

The graph of the greatest integer function is graph A.

What is graph?

A graph is a diagram or a pictorial representation of data or values that show the relationship between quantities or objects.

Given are graphs we need to find the graph of the greatest integer function,

The graph of the greatest integer function is graph A because since it is a greatest integer function, it includes the highest integer, but excludes the lowest since it is the highest integer when x is less than or equal to an integer but greater than x-1.

Hence the graph of the greatest integer function is graph A.

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Determine the endpoints of the midsegment connecting side YX and side YZ

Answers

Answer:

endpoint of midsegment connecting side YX is (4, 3)

endpoint of midsegment connecting side YZ is (5, -1)

Step-by-step explanation:

Mid point of a line segment -  it is the middle point of a line segment. It is equidistant from both endpoints and it is the centroid both of the segment and of the endpoints.

according to the graph;

Y is (1, 2),  Z is (9, -4),  X is (7, 4)

therefore using mid point formula we can determine the endpoints of midsegments connecting side YX and YZ

if (x , y) and (x1, y1) are the endpoints of a line then;

The coordinates of mid point are given by the formula =  (x+x1)/2,  (y+y1)/2

using the above formula mid point of YX is

(7+1)/2, (4+2)/2 = (4, 3)

and the mid point of line YZ is

(9+1)/2, (-4+2)/2 =  (5, -1)

hence the answer is (4,3) and (5, -1)

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solve simulteneusly equation 6p-4r=4 and p-2r=5

Answers

Answer:

r = - 3.25, p = -1.5

Step-by-step explanation:

→ Rearrange p - 2r = 5

p = 5 + 2r

→ Substitute into 6p - 4r = 4

6 ( 5 + 2r ) - 4r = 4

→ Expand

30 + 12r - 4r = 4

→ Simplify and solve

r = - 3.25

→ Substitute into p - 2r = 5

p + 6.5 = 5

→ Minus 6.5 from both sides

p = -1.5

Express your answer as a decimal. 63÷12=

Answers

Answer:

5.25

Step-by-step explanation:

Answer:

5.25

Step-by-step explanation:

type 63 : 12 in your calculator

see the example in the attachment.

What are the x-coordinates of the solutions to this system of equations?
x² + y² = 16
y = x + 4

Answers

The x-coordinates are -4 and 0.

18.
(05.06 LC)

A librarian measured the number of young adult books in a library. The number of books in the library as a function of time (in years since 2008) is shown in the scatterplot. Choose the linear function that best describes the scatterplot relating the number of books in the library, y, to time, x. (1 point)
y = 8 − 10x

y = 8 + 10x

y = 10 − 8x

y = 10 + 8x

Answers

Answer:

y=8+10x that then answer I guess

HELP ANGJHHGG plssssssssssssssssssfghgg

Answers

Answer:

5377

Step-by-step explanation:

this is a vector question where how far is the Resultant. that is, it is determined by the magnitude of the Hypotenuse.

using Pythagoras theorem

Hypotenuse ²= Opposite ²+Adjacent²

Hypotenuse ²= 2865²+4550²

Hypotenuse ²= 8208225+20702500

Hypotenuse ²=28910725

Hypotenuse=√28910725

Hypotenuse=5376.86944234282

Hypotenuse= 5377 approximated

You went to an electronics store and would like to buy a TV priced at $1200. You only have $1000 to
spend and the store gives 15% discount on the TV. Can you buy the TV? Explain

Answers

Answer
No you can’t buy the TV because you don’t have enough money. You are missing $20.

Explanation
1,200 × 15 ÷ 100 = 180
1,200 - 180 = 1,020
1,020 - 1,000 = 20

Find (f • g) (x) Assume x>0

Answers

Answer:

[tex]\textsf{B.} \quad (f \cdot g)(x)=10x[/tex]

Step-by-step explanation:

Given:

[tex]\begin{cases}f(x)=\sqrt{50x}\\g(x)=\sqrt{2x}\end{cases}[/tex]

[tex]\begin{aligned}\textsf{As }(f \cdot g)(x) & = f(x) \cdot g(x)\\\implies (f \cdot g)(x)& = \sqrt{50x} \cdot \sqrt{2x}\end{aligned}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}:[/tex]

[tex]\begin{aligned}\implies (f \cdot g)(x) &= \sqrt{50x2x}\\& = \sqrt{100x^2}\end{aligned}[/tex]

Rewrite 100 as 10²:

[tex]\implies (f \cdot g)(x)=\sqrt{10^2x^2}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^bc^b=(ac)^b:[/tex]

[tex]\implies (f \cdot g)(x)= \sqrt{(10x)^2}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]

[tex]\implies (f \cdot g)(x)=10x[/tex]

Pls answer fast
(√3 + √11)² + (√3 - √11)²

Answers

(√3 + √11)² + (√3 - √11)²

(a+b)² = a² + b² + 2ab ( a - b )² = a² + b² - 2ab

Now ,

(√3 + √11)² + (√3 - √11)²

(3 + 11 + 2√3√11)+ (3 +11 - 2√3√11)

14 + 2√33+ 14 - 2√33

14 + 14 = 28

Hence , The value of (√3 + √11)² + (√3 - √11)² is 28 .

Answer:

28

Step-by-step explanation:

(a + b)² + (a - b)² = 2a² + 2b²

(√3 + √11)² + (√3 - √11)²

= 2√3² + 2√11²

= 28

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