three integers have a mean of 7, a median of 5 and a range of 14. find the three integers​

Answers

Answer 1

Answer:

1, 5, 15

Step-by-step explanation:

First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.


Related Questions

What is 86 + (-32) ?

Answers

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Adding a negative number is the same thing as subtracting a positive number, so 86 + (-32) is the same thing as 86 - 32, which is 54.

The quotient of dividing a number by 4 is 5. Find the number.​

Answers

Answer: 20

Step-by-step explanation:

A quotient is th value that is gotten when two numbers are divided. Based on the information given in the question, let the number be represented by x.

Therefore, x/4 = 5

x = 4 × 5

x = 20

The number is 20

a small refrigerator is a cube with a side length of 12 inches use the formula S= 6s2 to find the surface area of the cube

can someone please help me with this it's the last problem on my exam

Answers

Answer:

Surface area of the refrigerator is 864 in².

Step-by-step explanation:

Formula to calculate the surface area of a cube is,

Surface area = 6s²

Here, s = length of a side of the cube

If side length 's' = 12 inches

By substituting this value in the formula,

Surface area = 6(12)²

                     = 6 × 144

                     = 864 inch²

Therefore, surface area of the refrigerator is 864 in².

You would like to buy new carpet for a room. The room us rectangular. The dimensions are 12 1/3 feet by 10 3/4 feet. How many square feet of carpet do you need?

Answers

It’s about 132.58 square feet also you should ask if your are rounding up or not if so it should be 132.60

Please I really need help on this one

Answers

Answer:

2.5ft

Step-by-step explanation:

d=2r

r=1/2d

r=1/2*5ft=2.5 ft

You are doing research on balance and fitness. To complete this research you will need a watch with a second hand. Identify a random sample of n = 12 men and n = 8 women. You must answer this question: How do you establish that this sample is truly random?

Answers

Answer:

Step-by-step explanation:

In order to establish that the sample is truly random you need to obtain two main factors. First, is making sure that the random sample of both groups chosen (men and women) are equal in proportion to the overall population. Meaning both groups must be the same percentage of the overall population of the same gender. The second factor that you need to make sure of is that all chosen individual's had the exact same probability of being chosen from the population and no external factor influenced the probability of them being chosen for the study.

Tukey HSD Interpretation
Criterion: Interpret Tukey HSD results from SPSS output.
Data: Use your output from Problem Set 4.6.
Instructions: Identify where significant differences exist at the .05 level between the stress levels.

Answers

Answer:

The solution can be defined as follows:

Step-by-step explanation:

They also have a significant outcome in our instance. Its value of F is 1.773, with such a p-value of 0.212 achieved meaning (which is greater than the .05 alpha level). It means that the press with different levels of stress of the stress variable may not differentiate objectively.

Even so, we still do not know which one of the multiple mechanisms is significant. They realize the diff. To do just that, the results of the Tukey HSD test should be regarded.

HSD Tukey

Looking at the Multiple Correlations table below, you will see that mean values were created for the standard deviation among pairs of various stress varying concentrations (High - Low; High - Medium )

This can be seen on one-way ANOVA(1.773, p=.212), there's no statistically significant difference between the groups. A Tukey post hoc study has observed that the increase among medium and high stress is statistically significant, as well as the difference among low, medium, and high stress is important.

Can anyone please help me please

Answers

Answer:

this isnt spanish

Step-by-step explanation:

Between the 4 and 9 is 11
Under 4 is 15
Under 9 is 20

Determine the value of y.
Question 9 options:
A) 45°
B) 27°
C) 24°
D) 135°

Answers

Answer:135

Step-by-step explanation:all you have to do is to multiply 45 2 times and you will get the answer

Since y is 27, the value of angle 5y will be 135°.

What are supplementary angles?

Supplementary angles are those angles that sum up to 180 degrees.

Given 5y and 45° angles are supplimentry angles

Two angles are called supplementary when their measures add up to 180 degrees.

Thus,

5y + 45 = 180

5y = 135

y = 27°

therefore, the value of angle 5y  will be 135° since y is 27.

Learn more about Supplementary angles here:

https://brainly.com/question/13045673

#SPJ2

what is the equation of this line?

Answers

Answer:

I'm certain it's -x + 2

Step-by-step explanation:

The gradient is negative, and so it cannot have a positive m value. The Y intercept is at +2.

A classroom contains 33 students. In the classroom, 6 students wear red shirts, 11 wear white shirts, 8 wear black shirts, and the remaining 8 students wear blue shirts. Mrs. Kulkarni randomly chooses a student to clean the whiteboard. Determine the probability that Mrs. Kulkarni selects a student wearing a red shirt. Enter your answer in the box.

Answers

Answer:

She picked white because the board is white

Answer:

24.24... percent chance

Step-by-step explanation:

Because 6/33 is 24 percent and 6 is the amount of red shirts

d=7/2cm. The radius is ____ cm.

Answers

Answer:

r = 7/4

Step-by-step explanation:

Radius is always 1/2 of the diameter.

It takes Ty 4 hours 30 minutes to read his favorite book, reading at a constant rate of 100 pages
every 50 minutes. How many pages are in Ty's favorite book?

Answers

Answer:

540 pages

Step-by-step explanation:

100 pages = 50 mins

??? pages = 270 mins (converted 4hrs 30 mins to minutes)

Now you could cross multiply to find what the number of pages are:

100 pages x 270  mins = 50 mins x ??? pages

27000 = 50 mins x ??? pages

27000/50 = ??? pages

540 = ??? pages

So there are 540 pages in his favourite book.

Please help asap
The sales tax rate is 10%. If Carla buys a handbag priced at $90, how much tax will she
pay?

Answers

Answer: $9

Step-by-step explanation:

10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9

Using a computer or calculator that provides proportions falling below a specified z-score, determine the approximate proportion for each of the following situations. In each case, assume the values are approximately bell-shaped. (Round your proportions to four decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) The proportion of SAT scores falling below 420 for a group with a mean of 500 and a standard deviation of 100. -0.8 Correct: Your answer is correct. (z-score) (approximate proportion)

Answers

Answer: uhhhh what

Step-by-step explanation:

What is the value of a2 + 36 2c when a = 3, b = 8, and c = 2?​

Answers

Answer: 21 +4c

Step-by-step explanation:

Answer:

what is in between 36 and 2c?

y = 2x + 4
and
y = 2x - 8

Solve the systems by substitution

Answers

Answer:

-x - y - z  = -8   ........      (1a)

-4x + 4y +5z = 7     .....   (2a)

2x + 2x =  4   ..........       (3a)

since (3a) a is an equation solely in x make x the subject of the equation

  2 ( x + x) = 4

 divide both sides by 2

      (x + x)  = 2

            2x  = 2

              x  =  1  .......  (3b)

  substitute x in (3b) for x in (1a)

          -(1) - y - z  = -8  

    make y the subject of the equation

              -y - z  =  -8 + 1

                    -y =  -7 + z

                     y = 7 - z  ..... (1b)

 substitute y in (1b) for y in (2a) as well as the value of x ( x= 1)

        -4(1)+ 4( 7 - z ) +5z = 7

       - 4 + 28 - 4z + 5z  = 7

              -24 + z  = 7

                       z  = 7 + 24

                       z  = 31

By using (1a) solve for y

          -(1) - y - (31)= -8          

          -1  - y - 31 = -8        

                        y = -1 - 31 + 8

                        y = -24

 

∴ the solutions of the system are  x = 1 ; y = -24 ; z = 31  

Hope this helps!!!!!!!

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Which explains why the graph is not a function?
5
4
3-
2+
O It is not a function because the points are not
connected to each other.
O It is not a function because the points are not related
by a single equation
It is not a function because there are two different x-
values for a single y-value.
O It is not a function because there are two different y-
values for a single x-value.
1 +
-5 -4 -3 -2 -11
1
2 3 4 5
X
-2
+
.
-3
-4
-5

Answers

Answer:

We conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

From the graph, we can determine the table such as:

x            y

-2           -5

-1            3  

1             -2  

3            0  

4            4

4            -2

It is clear that the values of x = 4, is repeated twice.

In other words, the input value x = 4 is duplicated.

We know that we can not have duplicated inputs as there should be only 1 output for each input.

Therefore, we conclude that it is not a function because there are two different y-values for a single x-value.

Hence, option D is true.

Consider the following heights 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85. Use R script to finish the following questions
(1) Assign all these heights as vector "height".
(2) Compute the mean and sd of "height".
(3) What is the length of "height"?
(4) How many heights are less than 1.65?
(5) Show if each height is larger than 1.60 and smaller than 1.75.

Answers

Answer:

1.718333

0.114957

12

1 3 5 7

Step-by-step explanation:

Given the following height values :

Height values : 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85

1.) Assign all height values to a vector height :

R code:

height - - -> c(1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85)

2.) To compute the mean and standard deviation of "height"

R code for mean height:

mean(height)

R code for height standard deviation :

sd(height)

3.) The length of "height" ; This gives the number of data values in the vector variable "height"

R_code for length:

length(height)

4.) Number of heights less than 1.65

R_code :

which(height < 1.65)

Gives the index values where height values is less than 1.65

5.) Show if each height is larger than 1.6 and less Than 1.75

R_code :

1.6 < height < 1.75

The following statement is a good definition of...

Answers

Answer:

It is not converse since converse is if q, then p in a conditional statement. So I will say that is a truth table

(help me it is not much)
Which form of a linear equation should we use when given the y-intercept and the slope of
the line?
Point-Slope form
Slope-intercept form
Standard form?

Answers

Answer:

Slope Intercept Form

Step-by-step explanation:

its the basics

Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
x+y = 6
x - y = 0
I’ve been stuck for almost a hour pls help . if not it’s cool

Answers

Point form (3,3)

x=3 , y=3

Write as a product - 12a+12
DONT ANSWER QUESTION IF U DONT KNOW

Answers

Answer:

24a no>?

Step-by-step explanation:

What is 2/3-5/9 in 5th grade math

Answers

Answer:

0.111111

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution

=2×3/3×3-5×1/9×1

=6/9-5/9

=6-5/9

=1/9

Please mark me brainliest.Ok

Over the holiday break, Ms. Horton baked a ham that was 19 1/4 pounds.
By the end of the night there was 6 7/10 pounds left. How much turkey was
eaten that night?

Answers

Answer:

12 11/20

Step-by-step explanation:

the answer to the question is 12 11/20

My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function of the number of gallons of gas in the tank?

Answers

Answer: Yes,

Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.

what is 4 divided by 8464

Answers

0.00047258979206 .....

Answer:

4 divided by 8464 equals 0.00047258979

8464 divided by 4 equals 2,226

Step-by-step explanation:

                May I have brainiest I'm trying to level up!

                                  </3 PureBeauty

Dont really know this. Anyone wanna help.​

Answers

Answer:

25 degrees

Step-by-step explanation:

angle CAD is a right angle, which is 90 degrees, and angle CAF is a straight line (180 degrees), which makes angle DAF a right angle. It is given that angle EAF is 65 degrees, therefore,

90 degrees - 65 degrees =  25 degrees

- 5x2 + 2x + 9= 0
factorize​

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the quadratic equation

5x²−2x−9 = 0

To factor the quadratic function 5x²−2x−9, we should solve the corresponding quadratic equation 5x²−2x−9 = 0.

Indeed, if x₁ and x₂ are the roots of the quadratic equation ax²+bx+c=0, then

ax²+bx+c = a(x-x₁)(x-x₂)

Now,

solving the quadratic function 5x²−2x−9 = 0

[tex]-5x^2+2x+9=0[/tex]

subtract 9 from both sides

[tex]-5x^2+2x+9-9=0-9[/tex]

Simplify

[tex]-5x^2+2x=-9[/tex]

Divide both sides by -5

[tex]\frac{-5x^2+2x}{-5}=\frac{-9}{-5}[/tex]

[tex]x^2-\frac{2x}{5}=\frac{9}{5}[/tex]

Add (-1/5)² to both sides

[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{9}{5}+\left(-\frac{1}{5}\right)^2[/tex]

[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{46}{25}[/tex]

[tex]\left(x-\frac{1}{5}\right)^2=\frac{46}{25} \\[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

so solving

[tex]x-\frac{1}{5}=\sqrt{\frac{46}{25}}[/tex]

[tex]x-\frac{1}{5}=\frac{\sqrt{46}}{\sqrt{25}}[/tex]

Add 1/5 to both sides

[tex]x-\frac{1}{5}+\frac{1}{5}=\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]

[tex]x=\frac{\sqrt{46}+1}{5}[/tex]

similarly solving

[tex]x-\frac{1}{5}=-\sqrt{\frac{46}{25}}[/tex]

[tex]x-\frac{1}{5}=-\frac{\sqrt{46}}{5}[/tex]

Add 1/5 to both sides

[tex]x-\frac{1}{5}+\frac{1}{5}=-\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]

[tex]x=\frac{-\sqrt{46}+1}{5}[/tex]

Thus, the roots are:

[tex]x_{1} =\frac{\sqrt{46}+1}{5},\:x_{2}=\frac{-\sqrt{46}+1}{5}[/tex]

Conclusion:

Since the roots are irrational, we do not factor further.

Therefore, we leave 5x²−2x−9 as it is.

The graph of a proportional relationship contains the point (4, 20). What is the constant of proportionality?

Enter your answer in the box.

Answers

9514 1404 393

Answer:

  5

Step-by-step explanation:

A proportional relationship has the equation ...

  y = kx . . . . . . where k is the constant of proportionality

Solving this equation for k, we get ...

  k = y/x

Filling in the given values (x, y) = (4, 20) gives ...

  k = 20/4

  k = 5

The constant of proportionality is 5.

Answer:

The answer is 1/5 =  0.2

Step-by-step explanation:

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