Answer:
The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).
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 z-score that has a p-value of 
.
Out of 100 people sampled, 42 had kids.
This means that 
99% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).
Answer:
Step-by-step explanation:
The sum of the angles is ...
x° + (x +8)° + 2x° = 180°
4x +8 = 180 . . . . . . . . . . . collect terms, divide by °
x +2 = 45 . . . . . . . . . . divide by 4
x = 43 . . . . . . . . . . subtract 2
x +8 = 51
2x = 86
The angles are 43°, 51°, 86°.
Answer:
B. s = 24t
Step-by-step explanation:
Since s varies directly with t, therefore, equation that will represent the relationship would take the form of s = my
m = rate of change
✔️Find the rate of change:
Rate of change using two given pairs, (0.5, 12) and (2.5, 60),
Rate of change (m) = ∆s/∆t = (60 - 12)/(2.5 - 0.5) = 48/2 = 24
✔️Substitute m = 24 into s = mt
s = 24t
Answer:
3/5
Step-by-step explanation:
(3/5) · (1/2) over (3/5) · (1/2) + (2/5) · (1/2)
= 3/5
