Answer:
z=14.73
p=0.000
for 99% confidence level the null hypothesis is rejected, thus majority of us adults would not bothered if the NSA collected personal records.
Step-by-step explanation:
: Half of US adults would not bothered if the NSA collect records of personal telephone calls
: Majority of the adults would not bothered if the NSA collect records of personal telephone calls
According to the sample, z-value can be found using the formula:
z=
where
- X is the adults, who would not be bothered in the survey (397)
- M is the mean of the distribution of null hypothesis (257)
- n is the sample size (514)
- p is the proportion of the sample, who said they would not bothered (
≈ 0.77)
Putting these numbers in the formula,
z=14.73 and corresponding p value is p≈0.000
Since p<0.01, for 99% confidence level we reject the null hypothesis, thus majority of us adults would not bothered if the NSA collected personal records.
In geometry, the definition of a triangle is a two-dimensional closed figure with three sides. Aside from this, it is proven that the sum of the angles of a triangle is 180°. This is a triangle's innate property. Therefore, any closed shape with three sides is a triangle and it follows that the sum of the three angles is equal to 180°.
It is logical therefore, that the first step in proving this is by using the definition of a triangle.
Answer:
D
Step-by-step explanation:
(1/3)^x=27^(x+2)
3^(-x)=3^(3(x+2))
3^(-x)=3^(3x+6)
All sides of a triangle add up to 180 degrees. Since we know one angle is 93 degrees, we know that the top part is going to equal 180 degrees. We know that two of those measurements are 93 and 45, so we add those together to get 138. We subtract this from 180 to find the missing angle, which is 42 degrees. So, the left side of the triangle is equivalent to 45 degrees and the right side (x) is 42 degrees. 93 + 45 + 42 = 180. If it was asking for the measurements of the supplementary angles to the bottom angles of the triangle, then those would be (for 45) 135 and (for 42) 138, that way both angles and their supplements add up to 180 each. I hope this helps and that it’s right
540 ft^2 because 90x6=540 2 yards = 6 feet
