Answer:
The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).
Step-by-step explanation:
The formula for estimating the population proportion by a confidence interval is given by:
Where:
is the sample's proportion of success, which in this case is the people that regularly lie during surveys,
is the critical value needed to find the tails of distribution related to the confidence level,
is the sample's size.
<u>First</u> we compute the value:
<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):
Now we can replace in the formula with the obtained values to compute the confidence interval:
Answer:
x= 110°
Step-by-step explanation:
if you continue drawing the top purple line you will have a triangle with three angles
70° ; is given
180-140= 40°; is the same angle as the supplement angle of 140° (complementary angles are congruent)
180-70-40 = 70°; because sum of angles in a triangle is 180°
So angle x= 180 -70 = 110 because are a linear pair
Answer:
C) Between 9 and 13
Step-by-step explanation:
If 40% is 5 gallons, then 20% is 2.5 gallons
If you multiply both by 5, you get 12.5, which is between 9 and 13
Sorry for my weird way of math
Answer:
Approximately : 135
Step-by-step explanation:
60sec x 3 = 180sec
45 x 3 = 135
Answer:
x=16/3
Step-by-step explanation:
5x−2(x+1)=14
Distribute
5x -2x -2 =14
Combine like terms
3x -2 =14
Add 2 to each side
3x-2+2 =14+2
3x=16
Divide each side by 3
3x/3 = 16/3
x=16/3
