Answer:
x= 2
x= -3
Step-by-step explanation:
<u>Solving as normal quadratic equation:</u>
- 2x^2+2x=12
- x^2 +x = 6
- x^2 + x - 6= 0
- x = (-1 ± √(1+4*1*6)/2
- x = ( - 1 ± √25)/2
- x = (-1 ± 5)/2
- x= 2
- x= -3
<u>Roots are</u> 2 and -3
Answer:
<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>
Step-by-step explanation:
At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.
The amount of pennies doubled each day. So the series is,

This series is in geometric progression.
As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

where,
a = initial term = 1,
r = common ratio = 2,
As we have find the number of days that would elapse before she has a total of more than 90 trillion, so









Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
(1)
Where
c)
d) For this case we see that
so then the answer for this cae would men
Step-by-step explanation:
Information given
represent the number of men with smartphone
represent the number of women with smartphone
sample of men selected
sample of women selected
represent the proportion of men with smartphone
represent the proportion of women with smartphone
represent the pooled estimate of p
z would represent the statistic
represent the value
Part a
We want to test if we have difference in the proportion owning a smartphone between men and women, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Part b
The statistic for this case is given by:
(1)
Where
Part c
Replacing the info given we got:
Part d
For this case we see that
so then the answer for this cae would men
<span>the answer is 7.6196875. </span>