Answer:

Step-by-step explanation:
Lesson : GCF
Let us start on the numerical terms:


Common factors for all these numbers are 1 , 2 , and 4,
Since we are looking for GCF, 4 is the term for numerical GCF.
Now for the variable terms:

Common factors for all these numbers are x
Therefore x is the term for variable GCF
Answer: -70
Step-by-step explanation:
1. You subtract 5-7 because of PEMDAS and you get -2
2. multiply 5x7=35
3. Multiply 35x-2=-70
Parentheses/brackets
Exponents
Multiplication
Division
Addition
Subtraction
Answer and Step-by-step explanation:
given:
Sample size is: n =5000
The sample proportion is: Ṗ = 2739 / 5000 = 54.78%
And the critical value of z for 99% confidence interval is
Z = 2.58
For a 99 % confidence interval we use formula:
Ṗ ± z√(Ṗ(1- Ṗ)/n)
By putting the given values in this formula:
0.54 ± 2.58√(0.54(1-0.54)/5000)
= 0.54 ± 0.018
This gives us upper confidence limit of
0.54 + 0.018 =0.558 = 0.54%
This gives us lower confidence limit of
o.54 – 0.018 = 0.522 = 0.53%
Answer:
6π - 9√3 unit^2
Step-by-step explanation:
Area of sector
= 1/6(π (6)^2
= 6π
Area of triangle = √3/4 (6)^2 = 9√3
Area of the shaded segment = Area of sector - Area of triangle
= 6π - 9√3 unit^2
Answer:
14.5 weeks or rounded 15 weeks
Step-by-step explanation: