Answer:
9
Step-by-step explanation:
1. First, we need to set up an equation to find the value of x and then the length of EF.
2. We know that DG is equal to 33, so we can add all the three sections it's cut into altogether to get 33. Therefore, we get an equation of:
3. (Solving for x)
Step 1: Simplify both sides of the equation.
Step 2: Add 58 to both sides.
Step 3: Divide both sides by 7.
4. Now that we know x is equal to 13, we can plug that value in for the expression 3x - 30.
Therefore, the length of EF is 9.
Answer:
x = 35
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up equation</u>
40° + (2x + 30)° + 40° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 2x + 110 = 180
- Subtract 110 on both sides: 2x = 70
- Divide 2 on both sides: x = 35
Answer: x = 9/11
Step-by-step explanation:
First, distribute 9 to x and -1
9x - 9 = 2
Then add 9 to both sides
9x = 11
Then divide both sides by 9
x = 9/11
Hope it helps :)
Answer:
A sample of 1068 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?
We need a sample of n.
n is found when M = 0.03.
We have no prior estimate of
, so we use the worst case scenario, which is 
Then






Rounding up
A sample of 1068 is needed.
Answer:Mark
Step-by-step explanation:Diva