Answer:
Step-by-step explanation:
a)
Number of sample, n = 100
p = 0.78
q = 1 - p = 1 - 0.78
q = 0.22
For a confidence level of 90%, the corresponding z value is 1.645.
The formula for determining the error bound for the proportion is
z × √pq/n
= 1.645 ×√(0.78 × 0.22)/100
= 1.645 × 0.0414 = 0.068
The upper boundary of the population proportion is
0.78 + 0.068 = 0.85
The lower boundary of the population proportion is
0.78 - 0.068 = 0.71
b) For a confidence level of 95%, the corresponding z value is 1.96.
Therefore,
= 1.96 ×√(0.78 × 0.22)/100
= 1.96 × 0.0414 = 0.081
The upper boundary of the population proportion is
0.78 + 0.081 = 0.86
The lower boundary of the population proportion is
0.78 - 0.081 = 0.7
Answer:
After 4s
Step-by-step explanation:
Given the ball is initially projected upwards with a velocity of 64ft per sec and we are required to find the time at which it reaches the ground .There are many approaches to solve this problem we will follow this one:
It is also known as the time of flight for the ball which can be found by doubling the time taken for the ball to reach to its maximum height or the point where velocity is zero.
Now 
For the time taken to reach the max height
.
Which implies that -32t+v=0.
∴Time taken to travel halfway through the path =2sec.
∴total time =
Answer:
1
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify.
4-2-1=1
X= 1 x+5/2=1 which is x .10/2
Answer:
Step-by-step explanation:
surface area=4 *x²+2 x²=6x²=6 ×5²=150 sq. in.