Answer:
Standard error
Step-by-step explanation:
The standard deviation of the distribution of sample means is called the standard error of the means.
It is denoted by: 
The standard error is calculated using the formula: 
where n is the sample size and
is the population standard deviation.
Answer: a = -4
Step-by-step explanation:
Answer: 4 cakes left in all.
Step-by-step explanation:
Given: Cakes left on first day= 
Cakes left on second day =
The number of cakes left in all=
⇒The number of cakes left in all=
Therefore, The number of cakes left in all=4
Answer:
2) Yes, each x-coordinate is only used once.
3) {1,2,3,4}
4) {25,45,60,70}
5) (3,60)
6) No because (4,7) and (4,25) share the same x-coordinate.
Step-by-step explanation:
A relation is a function if there is no more than one y-value assigned to an x.
Any x used can only be used once in an order pair.
You that here.
(1,25)
(2,45)
(3,60)
(4,70)
So basically because all of the x-coordinates are different, this is a function.
The domain is the x-coordinate of each pair (the first of each pair):
{1,2,3,4}.
The range is the y-coordinate of each pair (the second number of each pair):
{25,45,60,70}.
One ordered pair that I see in the table is (3,60). There are 3 others you can choose and I named them above.
{(4,10),(3,15),(1,5),(2,25),(4,25)} is not a function because there are more than one pairs with the same x-coordinate,4.
Answer:
(1)The value of x is -9 .
Option (B) is correct .
(2)The value of x is 13 .
Option (A) is correct .
(3)The value of the x is 11 .
Option (D) is correct .
(4) The value of the x is -15 .
Option (A) is correct .
(5)The value of the x is -11 .
Option (C) is correct .
Step-by-step explanation:
First Part
As given
4x = -36

x = -9
Therefore the value of x is -9 .
Option (B) is correct .
Second Part
As given
5x - 15 = 50
5x = 50 + 15gg
5x = 65

x = 13
Therefore the value of x is 13 .
Option (A) is correct .
As given
4(x+2)-17=35
4x + 8 - 17 = 35
4x = 35 + 17 - 8
4x = 44

x = 11
Therefore the value of the x is 11 .
Option (D) is correct .
Fourth Part
As given
6x+12=4x-18
6x-4x = -12-18
2x = -30

x = -15
Therefore the value of the x is -15 .
Option (A) is correct .
Fifth Part
As given

Simplify the above
4x-10+5×2 = 2x-22
4x-10+10= 2x-22
4x-2x = -22
2x=-22

x = -11
Therefore the value of the x is -11 .
Option (C) is correct .