let x represent the number of apples and y represent the number of oranges.
TOTAL: x + y = 112
y = 112 - x
PEELED: 

3x = 4y
3x = 4(112 - x)
3x = 448 - 4x
7x = 448
x = 64
y = 112 - x
= 112 - 64
= 48
a) There are 64 apples and 48 oranges
Peeled apples:
= 3(8) = 24
Unpeeled apples: 64 - 24 = 40
Unpeeled - Peeled: 40 - 24 - 16
b) there are 16 more unpeeled apples than peeled apples
Answer: (A) randomly selected elements within each of the strata form the sample.
Step-by-step explanation:
Stratified random sampling is a random sampling technique in statistics .
- It includes the partition of the entire population into sub-parts called strata.
- The strata are formed on the basis of the characteristics shared by members .
- After the formation of strata, researcher randomly selects participants from each strata to ensure that that the participant of every group must involve in the sample to represent each character.
Hence, the correct answer is :
(A) randomly selected elements within each of the strata form the sample.
Answer:
"6 units left and 9 units down"
Step-by-step explanation:
Suppose a function is given in this form:

This is the parent function y = x^2
- translated a units right (left if there was a + before a)
- translated b units up (down if there was a - before b)
Now, to go from
to
, we can see that:
- first function is 5 units right and 2nd one is 1 unit left, so there is a horizontal translation of 6 units left
- first function is 7 units above and 2nd one is 2 units down, so there is a vertical translation of 9 units down
Thus, "6 units left and 9 units down" is the transformation(translation).
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :

Given Points are (1 , 7) and (-4 , -8)
here x₁ = 1 and x₂ = -4 and y₁ = 7 and y₂ = -8

3 is answer