Answer:
![(-\infty, -5] \cup (4,\infty)](https://tex.z-dn.net/?f=%28-%5Cinfty%2C%20-5%5D%20%5Ccup%20%284%2C%5Cinfty%29)
Step-by-step explanation:
The symbol 
is set notation for UNION--put two sets together into one set.
The first part of the interval notation describes x less than or equal to -5 -- notice the bracket symbol after -5, meaning include -5.
Answer:
15 questions
Step-by-step explanation:
9x100=900
900/60=15
9/15=60%
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Answer:
<u>x = 39</u>
Step-by-step explanation:
Let's recall that the interior angles of a triangle always add up to 180 degrees.
Upon saying that, we have:
102 + 39 + x = 180
x = 180 - 102 - 39
x = 39
<u>The value of x is 39 degrees</u>
Answer: 9 Apples
Step-by-step explanation:
Given the following :
Total number of bags = 12
Mean of the distribution(m) = 8
Number of apples (x):
6 - - - - 7 - - - - 8 - - - - 9 - - - - 10
Frequency (f) :
1 - - - - 4 - - - - 2 - - - - 3 - - - - 1
Therefore :
Let number of apples in the 12th bag = y
Frequency of 12th bag : (12 - 11) = 1
Mean of distribution(m) :
Sum of ( f * x) / sum of f
Sum of (f * x) = (6*1)+(7*4)+(8*2)+(9*3)+(10*1)+(y*1)
Sum of (f * x) = (6+28+16+27+10+y) = 87 + y
Sum of f = 12
From :
m = Sum of ( f * x) / sum of f
8 = (87 + y) / 12
87 + y = 12 * 8
87 + y = 96
y = 96 - 87
y = 9
Number of apples in 12th bag is 9 apples
1st:
You would multiply 12 x 16 because that's the total area.
2nd:
Then you would multiply 10 x 12 because that's the amount you're subtracting from the total area.
3rd:
(12 x 16) - (10 x 12) =
192 - 120 =
A. 72 ft2
