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
Answer:
x = 59, y = 59, z = 62
Step-by-step explanation:
This is an isosceles triangle, therefore, the angles that are across from the congruent sides are also congruent: x = y
We also know that by the Triangle Angle Sum Theorem, that all the angles of the triangle add up to equal 180 degrees.
Therefore, x + y + z = 180 and, subbing in our expressions gives us
2x + 31 + 2x + 31 + 5x - 8 = 180 and
9x + 54 = 180 so
9x = 126 and
x = 14
That means that x and y have measures of
2(14) + 31 = 59
If those are 59 each, then
z = 180 - 59 - 59 so
z = 62
Let's check and make sure that sum is in fact 180:
59 + 59 + 62 = 180
Answer:
First term: a
Second term: a+d
Third term:a+2d
Step-by-step explanation:
Answer:
0.93
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
The function (f+g)(x) is the sum of the two functions:
(f+g)(x) = f(x) +g(x) = (ln(2x) -15) +(3sin(x) -7)
= ln(2x) +3sin(x) +(-15 -7)
(f+g)(x) = ln(2x) +3sin(x) -22
