Answer:
The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).
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:
323 blacks, 86% of blacks said that they would welcome a white person into their families. This means 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 percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).
..........................................................................
25 because it said the head of the fish in 10 the fishes tail is the same 10 plus half witch is 5 so if u add it you get 25
Answer:
125 cards
Step-by-step explanation:
20% = 0.2= 1/5
So because 25 is 1/5 0f the total number cards multiply 25 by 4 to get the other 80% and add the first 25 cards to that number.
(25 x 4) + 25= ?
100 + 25 = 125
therefore 125 cards were sold.
Answer:
6 ft, 6 ft, 12 ft
Step-by-step explanation:
Area = 216 sq feet
let the sides are y, y and z.
Area, A = 2y² + 2yz
216 = 2y² + 2yz
108 = y² + yz
z = (108 - y²) / y .... (1)
Volume, V = y²z
Substitute the values of z from equation (1)
V = 108 y - y³
Differentiate with respect to y
dV/dy = 108 - 3y²
Put it equal to zero for maxima and minima
3y² = 108
y = 6 ft
So, z = (108 - 36) / 6 = 12 ft
Thus, the sides are 6 ft, 6 ft, 12 ft.
