Answer:
we cannot conclude hat the proportion of wives married less than two years who planned to have children is significantly higher than the proportion of wives married five years
Step-by-step explanation:
Given that in a study on the fertility of married women conducted by Martin O’Connell and Carolyn C. Rogers for the Census Bureau in 1979, two groups of childless wives aged 25 to 29 were selected at random, and each was asked if she eventually planned to have a child. One group was selected from among wives married less than two years and the other from among wives married five years.
Let X be the group married less than 2 years and Y less than 5 years
X Y Total
Sample size 300 300 600
Favouring 240 288 528
p 0.8 0.96 0.88
p difference = -0.16
Std error for difference = 
Test statistic = p difference/std error=-6.03
p value <0.000001
Since p is less than alpha 0.05 we cannot conclude hat the proportion of wives married less than two years who planned to have children is significantly higher than the proportion of wives married five years
Answer:
The intial value is 1.25
Step-by-step explanation:
I would add 7 to get ...
... 2x² = 16
then divide by 2 to get
... x² = 8
Now, I would take the square root, recognizing that both positive and negative values will solve the problem.
... x = ±√8
The root can be simplified, so we have ...
... x = ±2√2
_____
The above method seemed the most obvious method to me. One could use the quadratic formula, but that seems to involve more operations.
... 2x² -16 = 0 . . . . subtract 9
... x = (-0 ± √(0² -4·2·(-16)))/(2·2) . . . . put the coefficients into the formula
... x = ±(√128)/4 = ±√8 = ±2√2 . . . . . simplify the result
I<span>s that cos (2pi/3) or cos^2 (pi/3) ????</span><span>
1/2 of 2 =1
</span>cos (2pi/3) = - 1/2 <span>
cos (pi/3) = 1/2
cos^2 (pi/3) = 1/4
take your pick!
pi/3 radians = 60 degrees, and cos is looking for the side adjacent to the 60 degree angle
in a 30-60-90 triangle, the sides are in the ratio 1-sqrt(3)-2
so cos 60 = 1/2
2(pi/3) = 120 degrees-- the same triangle, except now, x is negative ==> cos 2pi/3 = -1/2</span>
#1 answer: y=33x+100
explanation: The initial fee of $100 is your y-intercept.
The 33 is your slope.
You pay $33 a month which is what the x value represents (the month).
So your total equation is y=33x+100
#2 answer: $265
explanation: using the equation y= 33x + 100 you replace the x which is 5.
33(5) + 100. 33 * 5 = $165 but you can’t forget the + 100.
Therefore your answer will be $265.
