Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Liam has the following data: 20,7,x,2020,7,x,20. If the mean is 1414, which number could xx be?\newlineChoices:\newline(A)9(A)9\newline(B)21(B)21

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Mean, median, mode, and range: find the missing numberright chevron icon

Full solution

Q. Liam has the following data: 20,7,x,2020,7,x,20. If the mean is 1414, which number could xx be?\newlineChoices:\newline(A)9(A)9\newline(B)21(B)21
  1. Set up equation: To find the value of xx that makes the mean of the data set 2020, 77, xx, 2020 equal to 1414, we need to set up an equation using the formula for the mean. The mean is the sum of all terms divided by the number of terms. In this case, we have 44 terms.
  2. Mean formula: The equation for the mean is:\newlineMean = (Sum of terms)/(Number of terms)(\text{Sum of terms}) / (\text{Number of terms})\newlineWe know the mean is 1414, and the number of terms is 44. So we can write:\newline14=(20+7+x+20)/414 = (20 + 7 + x + 20) / 4
  3. Solve for x: Now we need to solve for x. First, we multiply both sides of the equation by 44 to get rid of the denominator:\newline14×4=(20+7+x+20)14 \times 4 = (20 + 7 + x + 20)\newline56=47+x56 = 47 + x
  4. Isolate xx: Next, we subtract 4747 from both sides to isolate xx:56−47=x56 - 47 = x9=x9 = x

More problems from Mean, median, mode, and range: find the missing number

Question
In the data set below, what is the mean absolute deviation?\newline6,3,1,6,66,3,1,6,6\newlineIf the answer is a decimal, round it to the nearest tenth. \newlinemean absolute deviation (MAD): _____
Get tutor helpright-arrow

Posted 8 months ago

Question
Look at this set of 88 numbers: 60,38,93,14,23,81,12,6460, 38, 93, 14, 23, 81, 12, 64, How would the range change if the number 1818 replaced the number 1212 in the set?\newlineChoices:\newline[A]increase\newline[B]decrease\newline[C]no change
Get tutor helpright-arrow

Posted 7 months ago

Question
g=15−m32 g=15-\frac{m}{32} \newlineIf Vera starts with a full tank of gas, the number of gallons of gas, g g , left in the tank after driving m m miles is given by the equation. When full, how many gallons of gas does Vera's tank hold?\newlineChoose 11 answer:\newline(A) 1515 gallons\newline(B) 1717 gallons\newline(C) 3232 gallons\newlineD 480480 gallons
Get tutor helpright-arrow

Posted 10 months ago

Question
x−3y=8 x-3 y=8 \newliney2=x−4y−2 y^{2}=x-4 y-2 \newlineIf (x,y) (x, y) is a solution to the system of equations shown, which of the following are y y -coordinates of the solutions?\newlineChoose 11 answer:\newline(A) −1-1 and −3-3\newline(B) 1414 and 22\newline(C) −2-2 and 33\newline(D) 22 and −3-3
Get tutor helpright-arrow

Posted 8 months ago

Question
Which of the following expressions is equivalent to −2xy+18 -2 x y+18 ?\newlineChoose 11 answer:\newline(A) −2(xy−9) -2(x y-9) \newline(B) −2(xy+9) -2(x y+9) \newline(C) 2(xy−9) 2(x y-9) \newline(D) 2(xy+9) 2(x y+9)
Get tutor helpright-arrow

Posted 8 months ago

Question
What is the value of tan⁡(π3) \tan \left(\frac{\pi}{3}\right) ?\newlineChoose 11 answer:\newline(A) 12 \frac{1}{2} \newline(B) 33 \frac{\sqrt{3}}{3} \newline(C) 32 \frac{\sqrt{3}}{2} \newline(D) 3 \sqrt{3}
Get tutor helpright-arrow

Posted 10 months ago

Question
Which of the following is the value of tan⁡(π) \tan (\pi) ?\newlineChoose 11 answer:\newline(A) 11\newline(B) 00\newline(C) −1-1\newline(D) tan⁡(π) \tan (\pi) is undefined.
Get tutor helpright-arrow

Posted 10 months ago

Question
Which of the following is the value of sin⁡(π2)? \sin \left(\frac{\pi}{2}\right) ? \newlineChoose 11 answer:\newline(A) −1-1\newline(B) 00\newline(C) 22 \frac{\sqrt{2}}{2} \newline(D) 11
Get tutor helpright-arrow

Posted 10 months ago

Question
3x+y=37x−y=2 \begin{array}{l} 3 x+y=3 \\ 7 x-y=2 \end{array} \newlineThe given system of equations has solution (x,y) (x, y) . What is the value of x x ?
Get tutor helpright-arrow

Posted 5 months ago

Question
You pick a card at random, put it back, and then pick another card at random.\newline44\newline55\newline66\newline77\newlineWhat is the probability of picking a number greater than 55 and then picking a 44 ?\newlineWrite your answer as a percentage.
Get tutor helpright-arrow

Posted 1 month ago

View all (44)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant