Answer: The interval is 0.9 ± 0.0259 and margin of error is 0.0259
Step-by-step explanation: <em>Confidence interval for a proportion in one sample</em> is the estimate of the proportion of a population. It is calculated following the next steps:
1) Find the proportion
, in which x is the number of people with the desired condition. In our case, p=0.9;
2) Calculate margin of error, i.e.:

z is z-score, which for a 95% confidence, equals 1.96;
Substituting with the data given:
= 0.0259
3) Write: p ± 
In our case, the interval will be 0.9 ± 0.0259.
<u><em>Margin</em></u><em> </em><u><em>of</em></u><em> </em><u><em>error</em></u> is the random sampling error in the results of a survey, i.e.,it shows you how far your result will be from the real value. For the Harris poll, margin of error is 0.0259
The slope perpendicular to an undefined slope is: 0
Example:
x = 5 is a vertical line and has an undefined slope.
The line perpendicular to it is y = <em>any value</em> which has a slope of 0.
I hope this makes sense. If not, please post the homework question so we can help you find the circumcenter.
Answer:
a) E(X)=1
b) σ=1
c) P(X>1)=0.368
d) P(2<X<5)=0.128
Step-by-step explanation:
We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.
a) We have to compute the expected time between two successive arrivals.
The expected value for X as it is exponentially distributed is:

b) We have to compute the standard deviation of X.
The standard deviation is calculated as:

c) The probability that X is larger than 1 (P(X>1))
We can express the probability as:

d) The probability that X is between 2 and 5 (P(2<X<5))

Answer:

Step-by-step explanation:
Given

Required: Express as a perfect square

Add 10 to both sides


Expand

Factorize:

Factorize:


Answer:
-7.96
Step-by-step explanation:
I used a calculator