Answer:
4.91
Step-by-step explanation:
4¹/6*2¹/5
25/6*11/5
275/30
4.91
5
Answer:
15 cm on the map is equal to 25 miles.
Step-by-step explanation:
Given that,
On a map, 9 cm represents 15 miles.
The distance between two cities is 15 cm. We need to find the distance in miles.
9 cm = 15 miles

So, 15 cm is equal to,

So, 15 cm on the map is equal to 25 miles.
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.
Formula for mid point.
(x1/2+x2/2 , y1/2+ y2/2)
Mid point=
(1/2+ (-3)/2 , 4/2+ 7/2)
(-2/2 , 11/2)
(-1, 5.5)