Answer:
a) the proportion of 95% confidence intervals that include the population proportion approaches 0.95
b) Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
Step-by-step explanation:
a)
Given the the data in the question, confidence level is 95%.
In this case as the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 0.95. hence the expected value of the proportion.
b)
Given the the data in the question, confidence level is 95% and sample proportion
we know that In normal distribution 68% confidence indicate one standard deviation, 95% confidence indicate 2 standard deviation while 99.97% confidence indicate 3 standard deviation.
The sample proportion does not include the population proportion, in 95% confidence from the standard normal table 0.95 value lies within the critical value of 1.96 approximately 2.
hence ( z =2 ) that satisfied the 1.96 standard error from the population proportion
hence, Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion
Answer:
x is greater than or equal to -26
Step-by-step explanation:
We can use distributive property to solve the equation.
-6(x+4) in distributive property is: -6x-24
-6x-24 is less than or equal to -5x+2
+6x +6x
-24 is less than or equal to x+2
-2 -2
-26 is less than or equal to x
This means x is greater than or equal to -26
On the graph you would put a closed circle on -26 and point to the right.
Hope this helps! Good luck on your quiz!
Factor and group common ones
60=2*2*3*5*x*x*x*x*y*y*y*y*y*y*y
45x^5^5=3*3*5*x*x*x*x*x*y*y*y*y*y
75x^3y=3*5*5*x*x*x*y
the commmon gropu to all is 3*5*x*x*x*y=15x^3y
Answer:
48 degrees
Step-by-step explanation:
7X-1+12x+48=180
19x+47=180
19x=133
x=7
7(7)-1=A
49-1=A
48=A
A is 48 degrees
Answer:
f(8)=4
Step-by-step explanation:
Put the equation in y=mx+b
-3x+12y=24
Add 3x to both sides
12y=3x+24
Divide 12 on both sides
y=3/12x+2
Simplify the fraction
y=1/4x+2
Substitute 8 for x
y=1/4(8)+2
y=2+2
y=4
So, f(8)=4
Hope this helps! :)
