Answer:
There is no enough statistical evidence to reject the hypothesis that the proportion of suburban mall shoppers who had been to a movie in the same month is the same as the proportion downtown.
Step-by-step explanation:
We have to perform an hypothesis test on the difference of proportions to see if there is enough evidence to reject the null hypothesis.
The null and alternative hypothesis are:
The significance level is assumed to be α=0.05
The suburban sample has a proportion of
The downtown sample has a proportion of
The average of proportion is:
The standard deviation of the difference of proportions is:
Then, we can calculate the value of the statistic z
The P-value for this z is:
The P-value is bigger than the significance level, so there is no enough evidence to reject the null hypothesis.
Answer: there are eight bicycles and 7 tricycles.
Step-by-step explanation:
Let x represent the number of bicycles that are there.
Let y represent the number of tricycles that are there.
There are a total of 15 bicycles and tricycles. This means that
x + y = 15
A bicycle has 2 wheels and a tricycle has 3 wheels. There are 37 wheels all together if we count them up. This means that
2x + 3y = 37- - - - - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
2(15 - y) + 3y = 37
30 - 2y + 3y = 37
- 2y + 3y = 37 - 30
y = 7
x = 15 - y = 15 - 7
x = 8
Answer:
13
Step-by-step explanation:
Check the picture below.
make sure your calculator is in Degree mode.
Answer: 1) 57 degrees
2) 50 degrees
3) a- 58 degrees, b- 32 degrees
Step-by-step explanation:
78, 52, and the number inbetween = 180
if u find the inbetween number it will be vertically opposite to a
