Answer:
Area of the new triangle = 0.28125ab square units.
Step-by-step explanation:
Take an example of a right-angled triangle with sides a, b and c.
Where a is the height and b is the base and c is the hypotenuse.
Area of the original triangle is given by: 
× base × height
In our case, area = × a × b
After the dimensions of our triangle have been decreased to 75%, new area becomes:
× 0.75a × 0.75b = 0.28125ab square units.
Answer:
Step-by-step explanation:
This is a binomial probability distribution because the outcome is either a randomly selected first-class mail within the same city is delivered within two days of the time of mailing or more days. The probability of success, p is that it is delivered within 2 days. Therefore,
p = 95/100 = 0.95
q(probability of success) = 1 - p = 1 - 0.95 = 0.05
n = number of samples = 6
1)The probability that all six arrive within two days, P(x = 6) would be determined from the binomial probability distribution calculator. Therefore,
P(x = 6) = 0.74
2) P(x = 5) = 0.23
3) mean = np = 6 × 0.95 = 5.7
4) Variance = npq = 6 × 0.95 × 0.05 = 0.285
Standard deviation = √0.285 = 0.53
(4/3) Pi r^3 = (1/3) Pi r^2 h
Solving for h = 4r
Answer:
The upper limit for the 95% confidence interval for the population proportion of defective gaming systems is 0.022
Step-by-step explanation:
Upper Limit for 95% Confidence Interval can be calculated using p+ME where
- p is the sample proportion of defective gaming systems (
)
- ME is the margin of error from the mean
and margin of error (ME) around the mean can be found using the formula
ME=
where
- z is the statistic of 95% confidence level (1.96)
- p is the sample proportion (
- N is the sample size (1200)
Using the numbers we get:
ME=
≈ 0.007
Then upper limit for the population proportion is 0.015+0.007 =0.022
