Answer:
The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.
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 
.
For this problem, we have that:
95% 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:
The 95% confidence interval for the population proportion is (0.1456, 0.2344). This means that we are 95% sure that the true proportion of employed American who say that they would fire their boss if they could is between 0.1456 and 0.2344.
Don’t click that is a scam to get your cookies
For the first triangle the sum of angles in any given triangle is equal to 180 degrees.
The equation for the first triangle would be: 60+80+x+51= 180
Solving it we get: 191+x=180
x=-11.
The second triangle’s equation is: 90+45+52+x= 180
Solving it we get: 187+x=180
x=-7
The third triangle’s equation is: 4+7x= 90
This is because it is a right angle.
Solving it we get: 12.2 (rounding)
x=about 12.2
For the fourth triangle the equation is: 6x-5+5x=105 (we subtract 75 to 180 to get the sum of the other two angles)
Solving it we get: 11x=110
x=10.
Hope this helps! ( and if you can please give brainliest, it would mean a lot!)
You need to make the right side = 0
To do this you subtract 10 from both sides of the equation:-
x^2 + 6x + 9 - 10 = 10 - 10
x^2 + 6x - 1 = 0
9514 1404 393
Answer:
A) 29/40
Step-by-step explanation:
The formula for this is ...
P(A or B) = P(A) + P(B) - P(A and B)
Filling in the given values, you have ...
P(A or B) = 9/20 +1/2 - 9/40
P(A or B) = 18/40 +20/40 -9/40 = (18+20-9)/40
P(A or B) = 29/40 . . . . matches choice A
