Answer:
<em>The number of apples in the 12th bag is 9</em>
Step-by-step explanation:
<u>The Mean Value of a Data Set</u>
The mean or average of a data set is found by adding all numbers and then dividing by the number of values in the set. Written as a formula:

Where xi is the value of each data and n is the total number of values.
We are given the value of n=12 and the mean number of apples in each bag (8), thus:

Multiply by 12

This means the sum of all the values is 96. If we add the existing values from the table, considering their frequency, we have:

Note the sum should be 96, so the 12th bag must have 96-87=9 apples
The number of apples in the 12th bag is 9
Answer:
2,8,32,128,512
Step-by-step explanation:
f(x)=f(x-1)*4
f(1)=2
f(2)=f(2-1)*4=f(1)*4=2*4=8
f(3)=f(3-1)*4=f(2)*4=8*4=32
f(4)=f(4-1)*4=f(3)*4=32*4=128
f(5)=f(5-1)*4=f(4)*4=128*4=512
Given:
Point D is the centroid of Triangle ABC and DE = 9.
To find:
The measures of CD and CE.
Solution:
We know that, centroid is the intersection of medians and it divides each median in 2:1.
In triangle ABC, CE is a meaning and centroid D divided CE in 2:1. So,
Let the measures of CD and DE are 2x and x respectively.
DE = 9 (Given)

Now,



And,



Therefore, the measure of CD is 18 units and the measure of CE is 27 units.