Answer:
The y-intercept is at the point (0, 9).
Step-by-step explanation:
WE have the y intercept when x = 0:
-7(0) - 5y = -45
-5y = -45
y = -45/-5 = 9.
What are we trying to solve?
Answer:
a) 0.4770
b) 3.9945
c) z-statistics seem a large value
Step-by-step explanation:
<u>a. Find the standard deviation of the sample proportion based on the null hypothesis</u>
Based on the null hypothesis:
: 0.35
and the standard deviation σ =
=
≈0.4770
<u>b. Find the z statistic</u>
z-statistic is calculated as follows:
z=
where
- X is the proportion of employees in the survey who take advantage of the Credit Union (
)
is the proportion in null hypothesis (0.35)- s is the standard deviation (0.4770)
- N is the sample size (300)
putting the numbers in the formula:
z=
= 3.9945
<u>c. Does the z statistic seem like a particularly large or small value?</u>
z-statistics seem a large value, which will cause us to reject the null hypothesis.
Answer:
2744 pennies.
Step-by-step explanation:
Let x represent the number of pennies Al have initially.
We have been given that Al agreed to give 3/7 of his pennies to Bev, so number of pennies Bev will get would be
.
We are also told that Bev gave 3/7 of what she got from Al to Carl, so number of pennies that Carl will get would be
.
Further, Carl gave 3/7 of what he got from Bev to Dani, so number of pennies that Dani will get would be
.
We are also told that Dani received 216 pennies. Now, we will equate 216 to
and solve for x as shown below:
Therefore, Al have 2744 pennies initially.