Answer:
1. 6.4 meters of streamers left to make pompoms
2. He will be able to make 8 pompoms
Step-by-step explanation:
1.
4 x 1.6 = 5.6 meters were used to make decorations.
Then we do 12 - 5.6 = 6.4
2.
per one pompom it takes 0.8 meters of streamers.
6.4 is the left over so we do
6.4 divided by 0.8 = 8 pompoms you can make
Answer:
it is 40pi
Step-by-step explanation:
pi r^2 and you have 144 degrees shaded which is 40% of the circle.
You find the total volume to be 100pi and you divide by .4 (40%) to get 40pi as your answer
Answer:
Step-by-step explanation:
Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is 
where 
and 
are the sample proportion and sample size of the first sample, and 
and 
are the sample proportion and sample size of the second sample.
We see that 
and 
. We also know that a 98% confidence level corresponds to a critical value of 
, so we can plug these values into the formula to get our desired confidence interval:
Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}
The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.
Answer:
-20
Step-by-step explanation:
Complete the square to find the vertex of this parablola x^2-8x-y-4=0 {the second one of -20; so 4,-20}
