Answer:
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.
This means that 
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
0.6236*100 = 62.36%
0.8964*100 = 89.64%
The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).
Answer:The triangle is dilated by a factor of 1/2
Step-by-step explanation:
<h3>
Answer: 110 degrees</h3>
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Work Shown:
x = measure of minor arc CL
angle J = ( (far arc) - (near arc) )/2
angle J = ((red arc) - (yellow arc))/2
angle J = ( (minor arc CL) - (minor arc CK) )/2
35 = ( x - 40 )/2
35*2 = x-40
70 = x-40
x-40 = 70
x = 70+40
x = 110
Minor arc CL = 110 degrees
Answer:
18.0 cm to 1 decimal point.
Step-by-step explanation:
First work out the unknown side (s) of the right triangle using the Pythagoras theorem:
s^2 = 13^2 - 5^2
= 169 - 25 = 144
s = sqrt 144 = 12 cm.
Now consider the other triangle:
s = 12
The missing angle = 180 - 65 - 40 = 75 degrees.
By the Sine Rule:
x / sin 75 = 12 / sin40
x = 12 sin 75 / sin 40
= 18.03
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Answer:
1and5 are coefficients6is a constant
Step-by-step explanation:
