Answer:
C.I. at 95% is as C.I.[0.7504 to 0.8162]
Step-by-step explanation:
Given:
Total number n=600
and Required No of students=x=470
To Find:
Determine a 95% confidence interval .
Solution:
Using normal distribution table for Z,
when 95 % C.I. Z=1.96
Now calculate ,
Population proportion,p=x/n
p=470/600
p=0.7833
Now calculate margin of error
MOE=Z*Sqrt[p(1-p)/n]
MOE=1.96*Sqrt[(0.7833*0.21667)/600]
=1.96*Sqrt(0.00028286)
=1.96*0.01681
=0.0329
So
The Boundaries will be as follows:
1)p-MOE
=0.7833-0.0329
=0.7504
2)p+MOE
=0.7833+0.0329
=0.8162
Answer:
The y-intercept of Function A is less than the y-intercept of Function B.
Step-by-step explanation:
Function A's y-intercept would be (0, -1) and Function B's y-intercept is (0, 4). Therefore, Function A's y-intercept is less than Function B's.
Answer:
0.25
Step-by-step explanation:
<em>there are four people being considered for the position</em>
total=4
<em>Three of the applicants are over 60 years of age</em>
4(total) - 3 (over 60 years)= 1 below 60 years
<em>Two are female</em>
4(total) - 2 (female)= 2 male
<em>only one female is over 60</em>
2(female)-1 (female over 60)= 1 female below 60
<u>then the four candidates are</u>
<u>1. female over 60</u>
<u>2. female below 60</u>
<u>3. male over 60</u>
<u>4. male over 60</u>
probability that the candidate is over 60 and female =1/4=0.25
Answer:
Answers:
Rate of change = -5
Initial value = 25
Step-by-step explanation:
Each time x increases by 2 (eg from x = 1 to x = 3), the value of y drops by 10 (eg from y = 20 to y = 10)
Therefore the slope is...
slope = rise/run = (change in y)/(change in x) = -10/2 = -5
slope = -5
So each time x increases by 1, y will decrease by 5
Flip things around: each time x decreases by 1, y will increase by 5
So the pair (x,y) = (1,20) shown in row 1 of the table leads to (0,25) based on the rule above. Another way to see this is to plug m = -5, x = 1 and y = 20 into y = mx+b and solve for b to get b = 25