Answer:
x = 41°
Step-by-step explanation:
Using the cofunction identity
sinx = cos(90 - x) , then
sin49° = cos(90 - 49)° = cos49°
with x = 41°
Answer:
The minimum number of subjects needed is 385.
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 z-score that has a p-value of
.
The margin of error is:

95% confidence level
So
, z is the value of Z that has a p-value of
, so
.
95% confidence, within 5 percentage points, and a previous estimate is not known.
The sample size is n for which M = 0.05. We don't know the true proportion, so we use 
Then






Rounding up:
The minimum number of subjects needed is 385.
Answer: The margin of error = 
Step-by-step explanation:
Given
Sample size (n) = 1000
Population proportion = 0.4
= 1 - confidence level
= 1 - 0.95
= 0.05




= 0.03
The margin of error change to
to 
Answer:
1)
32x^2 - 28x - 15
2)
30x^2 + 54x - 12
Step-by-step explanation:
1.
(8x+3)(4x-5)
Using FOIL
= (8x)(4x) + (8x)(-5) + (3)(4x) + (3)(-5)
= 32x^2 - 40x + 12x - 15
= 32x^2 - 28x - 15
2.
(10x-2)(3x+6)
Using FOIL
= (10x)(3x) + (10x)(6) + (-2)(3x) + (-2)(6)
= 30x^2 + 60x - 6x - 12
= 30x^2 + 54x - 12