Answer:
100 units
Step-by-step explanation:
We want to find x when ...
C = 11030
x² +10x +30 = 11030 . . . . fill in for C
x² +10x = 11000 . . . . . . . . subtract 30
x² +10x +25 = 11025 . . . . add 25 to complete the square
(x +5)² = 105² . . . . . write as squares
x +5 = ±105 . . . . . . . take the square root
x = -5 ±105 = {-110, 100}
The number of units manufactured at a cost of $11,030 is 100.
Answer:
The angles measure 34 degrees and 146 degrees.
Step-by-step explanation:
The supplement measures x.
The angle measures x + 112.
The measures of supplementary angles have a sum of 180 deg.
x + 112 + x = 180
2x + 112 = 180
2x = 68
x = 34
x + 112 = 146
The angles measure 34 degrees and 146 degrees.
Answer:
$887,761.38
Step-by-step explanation:
The principal amount the home is valued is $375,000 and it increases at a rate of 9% a year which is 0.09 and the amount of time it grew is 10 years. Therefore:
After 10 years the house is worth $887,761.38 if this trend continues
Answer:
Option D is the correct choice.
Step-by-step explanation:
We have been given a data set representing the total number of pencils each student in a class needs to sharpen as:
0, 1, 1, 1, 2, 3, 4, 4, 6, 6, 9
Let us find median of our given data set. As our data set has 11 data points, so median will be the value of 6th data point, that is 3.
Since first quartile is the median of the lower half of the data. Let us find our lower quartile. Since there are 5 data points below median, so our lower quartile will be the value of 3rd data point, that is 1.
Upper or 3rd quartile is the median of the upper half of the data. Since there are 5 data points above median, so our upper quartile will be the value of 9th data point, that is 6.
We can see that box plot represented by option D is the correct choice as middle line of box is at 3, which represents median of our data set. Lower quartile is at 1 and upper quartile is at 6.
Therefore, box plot shown in option D correctly represents the data.