Answer:
12
weeks
Explanation:
If Keith starts with
$
500
and wants to end with (at least)
$
200
he can withdraw up to
$
500
−
$
200
=
$
300
If he withdraws
$
25
week
the
$
300
will last
XXX
$
300
$
25
week
=
12
weeks
Step-by-step explanation:
I apologize if this isn't correct, I tried
Answer:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Step-by-step explanation:
Information given
n=900 represent the random sample selected
estimated proportion of residents favored annexation
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the data given we got:
Now we can calculate the p value. Since is a bilateral test the p value would be:

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Answer:
(3x-1) (3x+1)
Step-by-step explanation:
9x^2-1
Rewriting as
(3x)^2 - 1^2
This is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(3x-1) (3x+1)
Answer:

Step-by-step explanation:
The form of equation of line given in the problem is the point-slope form of a line. That is given by:

We need
and m (denoted by boxes)
is the y coordinate of the first set of points.
The first coordinate pair is (9,7), so
would be 7

Now, the slope (m).
It has formula

So, x_1 = 9
y_1 = 7
x_2 = 4
y_2 = -8
Substituting, we get the slope to be:

Hence, the equation of the line in point-slope is:
