Answer:
Mean age: 48
Standard deviation: 4
Step-by-step explanation:
a) Mean
The formula for Mean = Sum of terms/ Number of terms
Number of terms
= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10
= 480/10
= 48
The mean age is 48
b) Standard deviation
The formula for Standard deviation =
√(x - Mean)²/n
Where n = number of terms
Standard deviation =
√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]
= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10
=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10
=√160/10
= √16
= 4
The standard deviation of the ages is 4
Answer:
A
Step-by-step explanation:


Remember that
x^(b-c)
Using that
=3^(1/2x-1/2)=3^((x-1)/2)

So we can say:
, because the bases are the same
We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.
Answer:

Step-by-step explanation:

To do this, you must substitute
for x in the equation g(x)

Simplified this would be

Answer:
Math answers to fraction 896 divided by 30 can be calculated as follows.
896/30 math problems division = 29.8666666667. Therefore 29.8666666667 to 2 decimal places= 29.87
896/30 divided by 2 » (896/30) ÷ 2 » 29.8666666667 ÷ 2 = 14.9333333333 .
To solve by elimination you need to solve for each variable, in this case x, y, and z
x = 1/3
y = 7/3
z = 0