Answer:
<em>H₀</em>: The voting preference of men and women are not different.
<em>Hₐ</em>: The voting preference of men and women are not different.
Step-by-step explanation:
A hypothesis test for two proportions can be used to determine whether the preference of men differ from women in case of voting.
A Chi-square test contingency table can be used to perform the test.
The hypothesis can be defined as:
<em>H₀</em>: The voting preference of men and women are not different.
<em>Hₐ</em>: The voting preference of men and women are not different.
The test statistic is:

Decision rule:
If the <em>p</em>-value of the Chi-square test statistic is less than the significance level <em>α</em> = 0.05 then the null hypothesis will be rejected. And if the <em>p</em>-value is more than the significance level then the null hypothesis will not be rejected.
Answer:
The instantaneous velocity after eight seconds is 9 m/s
Step-by-step explanation:
Given as :
The ball shot upward with velocity of 15 m/s
The height of the ball after t sec is given as h(t) =
Now, The instantaneous velocity after 8 sec = 
Or, The instantaneous velocity =
or, The instantaneous velocity = 
Now at t = 8 sec
The instantaneous velocity = 5 + 4 = 9 m/s
Hence The instantaneous velocity of ball at t = 8 sec , is 9 m/s Answer
Answer:
Width = 4.8 inches
Step-by-step explanation:
The perimeter of a rectangle is given by the formula:

Where
P is perimeter
l is length
w is width
Given length = 3.6 and perimeter = 16.8, we plug them in into the formula and figure out the width, w. Process shown below:

Hence, the width is 4.8 inches
X + 8x = 81
9x = 81, x = 9
y = 8(9), y = 72
Solution: (9, 72)
5 hundred is 500
8 tens is 80
So 5 hundred 8 tens is <em><u>580</u></em>