1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex
3 years ago
15

If the mean, median, and mode are all the same for 4, 9, 7, 8, and x, what is the value of x?​

Mathematics
1 answer:
seropon [69]3 years ago
8 0
<h3>Answer:  x = 7</h3>

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

Explanation:

Since we have an odd number of values, this tells us that the median is part of the data set. It's the middle most item after we sort the values.

Recall that the mode is the most frequent item. Since the mode and median are the same, this must mean x can only be equal to one of the following

4, 9, 7 or 8

We can only pick one of those values.

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

If x = 4, then the set {4,9,7,8,x} updates to {4,9,7,8,4} which sorts to {4,4,7,8,9}

The middle most item is in slot 3, which would be 7. So the median is 7.

The median 7 does not match with the mode 4.

So we cross x = 4 off the list.

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

If x = 7, then we have {4,7,7,8,9}

The mode is 7 and the median is 7. So far, so good.

Now let's compute the mean. Add up the values and divide by 5 because there are 5 items.

(4+7+7+8+9)/5 = 35/5 = 7

We've shown that the set {4,7,7,8,9} has mean 7.

Overall, that set has the same mean, median and mode. So the answer is confirmed.

I'll let you check the cases when x = 8 and x = 9.

You might be interested in
Which equation represents the function on the graph?
Gnoma [55]

Answer:

the answer would be c the

third option

3 0
3 years ago
Read 2 more answers
Which number line shows the solution set for in-3155?
IRISSAK [1]

Answer:Find an answer to your question Which number line shows the solution set for in-3155? -8 -6 -4 -2 0 2 4 6 8 -8 -6 -4 -2 0 2 4 6 8 8 6 o -8

Step-by-step explanation:

6 0
2 years ago
How do I do numbers 1, 2 and 3
stiks02 [169]
What you want to do for each of those is follow the formula, y-y[1]=m(x-x[1]). When I say y[1] and x[1], I mean the x and y values given. So the first one would be y-4=-3(x-(-1)). Then you solve for y by distributing the -3 to x and +1 (+1 because two negatives make a positive), making the equation
y-4=-3x-3. Then you subtract the 4. Answer #1. y=-3x-7. 

#2. 
y-1=1(x-4)
y-1=x-4
y=x-5

#3.
y-2=2(x-(-1))
y-2=2x+2
y=2x+4

Hope this helped you!

8 0
2 years ago
Find the x-intercept of the line 9× + 3y = -18​
ella [17]

Answer:

(-2,0)

Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

9x+3y = -18

9x +0 = -18

9x/9 = -18/9

x = -2

(-2,0)

4 0
3 years ago
A dog owner is told by the veterinarian that his dog, Max, is overweight and needs to lose 4 to 5 pounds in order to live a heal
hodyreva [135]
This is a linear function, of the kind y = mx + b

where x is the number of visit,  b is the weight when x = 0, and m is the predicted change of weight for every visit.

m = - 4 ounces / visit, which must be converted to pounds (the negative sign indicates that the change is a decrease)

1 lb = 16 ounces = 4 ounces = 0.25 lb

Then m = - 0.25 lb / visit.

Now, for x = 1, y = 126 => 126 = - 0.25(1) + b => b = 126 + 0.25 = 126.25

Then the function is y = 126.25 - 0.25x

Now round to the nearest tenth:

y = 126.3 - 0.3x

Answer: y = 126.3 - 0.3x

 

6 0
3 years ago
Other questions:
  • PLEASE HELP ME ITS ALREADY LATE AND ITS BRINGING MY GRADE WAY DOWN PLEASE HELP ME PLEASE!!!!
    8·1 answer
  • Ahmed is taking orders for lunch. A slice
    8·1 answer
  • X to the third power = 539
    10·1 answer
  • What is the distance between points A and B? Use absolute value to explain your answer.
    14·1 answer
  • I need help I don’t understand it and it can’t be negative
    14·1 answer
  • What is the slope of a line that passes through the points (8,5) and (13,2)?
    6·2 answers
  • I need help asap I will give you brainlest
    8·2 answers
  • Use any method to solve the equations below.<br><br>a. x2+3x=4 b.(2x+3)(x-4)(x+4)=0
    8·1 answer
  • What is the solution of this equation 6x - 5 = -17
    13·1 answer
  • What is 2x-9=5x+12 with the step by step
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!