What we have so far:
Let set A = {<span>9, 10, 11}
Let set B = </span><span>{10, 11, 12, 13}
Let set C = A</span>∩B. This means: the intersection of A & B.
Let set D = {<span>14, 15}
Let set Universal = C</span>∪D. This means: the union of C & D where C is the intersection of A & B.
Solution:
Let us first solve for set C.
C = A∩B
C = {9, 10, 11} ∩ {10, 11, 12, 13}
C = {10, 11} <--- New value for set C
Let us now solve for set Universal.
Universal = C∪D
Unviversal = {10, 11} ∪ {14, 15}
∴ Universal = {10, 11, 14, 15} <--- What we are looking for.
Therefore, the answer is Universal = {10, 11, 14, 15}.
Answer:
(5x-2)(2x+7)
Step-by-step explanation:
10x²+31x-14
10x²+35x-4x-14
(10x²+35x)-(4x+14)
5x(2x+7)-2(2x+7)
(5x-2)(2x-7)
1. Mean of the data: 8
2. Median: 8
3. IQR = 4
4. Members that use the facility 10 days a month is: 2.
See reasons below.
<h3>What is the Mean, Median, and Interquartile Range of a Data?</h3>
Mean = sum of all values ÷ number of data values (easily solved using a dot plot
Median = middle value (easily found using a box plot).
Interquartile range (IQR) = Q3 - Q1 (easily found using a box plot).
1. Mean of the data: use the dot plot.
Reasoning: (3 + 3 + 5 + 6 + 6 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 11 + 12 + 14)/15 = 8
2. Median of the data set: Using the box plot, it is the value indicated by the vertical line that divides the box.
Median = 8
3. IQR = Q3 - Q1 = 10 - 6
IQR = 4
4. Members that use the facility 10 days a month, using the dot plot is: 2. 10 has 2 dots.
Learn more about the mean, median, and interquartile range on:
brainly.com/question/9821103
#SPJ1
Answer:
251+7,76+946-97*
Step-by-step explanation:
61664634*96*49
Answer:
Since angle 1 = angle 3 (vert opp angles),
angle 1 = angle 3 = 180°-129° (adj angles on a str line)
= 51°
angle 4 = angle 2 = 129° (vert opp angles)
Hence,
angle 1 = 51°
angle 3 = 51°
angle 4 = 129°
