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.
Answer:
13x - 8y
Step-by-step explanation:
Step 1: Write expression
(6x - y) + (7x - 7y)
Step 2: Combine like terms
13x - 8y
Answer: the width of the uniform path is 9 meters.
Step-by-step explanation:
Let x represent the width of the uniform path.
A pool measuring 18 meters by 22 meters is surrounded by a path of uniform width. It means that the combined length of the pool and the uniform path is (18 + 2x) meters and the combined width of the pool and the uniform path is (22 + 2x) meters.
If the area of the pool and the path combined is 1440 square meters, it means that
(18 + 2x)(22 + 2x) = 1440
396 + 36x + 44x + 4x² = 1440
4x² + 80x + 396 - 1440 = 0
4x² + 80x - 1044 = 0
Dividing both sides of the equation by 4, it becomes
x² + 20x - 261 = 0
x² + 29x - 9x - 261 = 0
x(x + 29) - 9(x + 29) = 0
x - 9 = 0 or x + 29 = 0
x = 9 or x = 29
Since the width cannot be negative, then x = 9 meters
Answer:
1. F
2. G
3. H
4. E
5. C
6. B
7. A
8. D
Step-by-step explanation:
1. For a horizontal line, this is zero. F. Slope
2. These lines have the same slope. G Parallel Lines
3. These lines meet at 90°. H Perpendicular Lines
4. This is where two lines meet. E. Point of Intersection
5. For the line 3 2 6 x y , this is −3. C. Y-intercept
6. The numbers 10 and 1 /10 are examples. B Reciprocals
7. This is the name for an equation of a line in the form Ax By C 0. A. Standard Form
8. For a vertical line, the value of x is constant and equal to this D. x-intercept
Answer:
1 mile ~ 1.60934 kilometers
Step-by-step explanation:
Hope this helps
Have a great day!
