Answer:
x = 24
Step-by-step explanation:
Because this shape is a parallelogram, the line segment measuring 6x must be equal to the line segment on the other side of E, which measures 144 units. 144 ÷ 6 = 24
Answer:
1 1/2
Step-by-step explanation:
This is a simple system of equations. We first write the words in math as 4x + 6y = 36 and 5y - 3x = 49.
Now we isolate 5 in the second equation to get 5y = 49+3x or y=(49+3x)/5. We can now substitute our value for y into our first equation and simplify.
4x + 6y = 36 is the same as 4x+6((49+3x)/5) = 36. This can be simplified to 4x+(294+18x)/5 = 36, which is the same as 20x+294+18x = 180. We can combine like terms to get 38x +294 = 180 or 38x = -114. Now we divide by 38 on both sides to get x = -3.
Now that we have our value for x, we substitute that value into the second equation and solve for y.
5y - 3x = 49 is the same as 5y - 3(-3) = 49 or 5y+9 = 49. This can be simplified to 5y=40 or y=8.
Our values for x and y are -3 and 8. Hope this helps!
Answer:
is this math
Step-by-step explanation:
Answer:
A. The bag weights for brand A have less variability than the bag weights for brand B.
Step-by-step explanation:
In a box plot display, measure of variability can be determined by the length of the rectangular box or/and by the length of the whiskers.
The longer or greater the length, the more the variability the data set has. The shorter or smaller the length, the lesser the variability.
The box plot display of Brand A has shorter rectangular box and a shorter whisker length compared to the box plot display of Brand B. Therefore, it can be concluded that: bag weights for Brand A have less variability compared to bag weights for Brand B.
The correct statement of comparison is:
"A. The bag weights for brand A have less variability than the bag weights for brand B."
Option B is incorrect. Bag weights for Brand A do not have more variability than those of Brand B.
Option C and option D are both incorrect. Neither an outlier nor range can be used to represent or describe "typical value" for a given data set.
Typical bag weights can be well represented or described by average bag weights or median weight of the data set.