Answer:
You will need to sample at least 3108 students.
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 
.
In this problem, we have that:
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The margin of error is:
How many students will I need to survey if I want to estimate, with 99% confidence, the true proportion to within 2%?
You need a sample size of at least n.
n is found when M = 0.02. So
You will need to sample at least 3108 students.
Answer:
B
Step-by-step explanation:
Given
7 | 3f + 4 | = 91 ← divide both sides by 7
| 3f + 4 | = 13
The absolute value function always returns a positive value, but the expression inside can be positive or negative. Thus there are 2 possible solutions.
Solve 3f + 4 = 13 → 3f = 13 - 4 = 9 ⇒ f = 3
Solve 3f + 4 = - 13 ⇒ 3f = - 13 - 4 = - 17 ⇒ f = - 
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
f = 3 : 7| 9 + 4| = 7| 13| = 7 × 13 = 91 ← True
f = -
7 | - 17 + 4| = 7| - 13| = 7 × 13 = 91 ← True
Hence the correct solutions are B
Answer:
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<em> and </em>
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Step-by-step explanation:
Given
Options A to D
Required
Determine the equivalent pair
To do this, we solve each options one after the other.
and 
Open bracket
and 
and 
<em>The above pairs are not equivalent</em>
and 
Open bracket
and
and
and
<em>The above pairs are not equivalent</em>
<em></em>
<em></em>
<em></em>
<em></em><em> and </em><em></em>
Collect Like Terms
and 
and
<em>The above pairs are equivalent</em>
Answer:
the two points represent solutions to the equation 3x - 9y= 18
if y = 0,
3x - 9(0) = 18
3x = 18
x = 6
(6,0): point 1
if x = 9
3(9) - 9y = 18
27 - 9y = 18
-9y = -9
y = 1
(9, 1) : point 2
Step-by-step explanation:
