Answer:
a)
And rounded up we have that n=4906
b) For this case since we don't have prior info we need to use as estimatro for the proportion 
And rounded up we have that n=6724
Step-by-step explanation:
We need to remember that the confidence interval for the true proportion is given by :
Part a
The estimated proportion for this case is 
Our interval is at 90% of confidence, and the significance level is given by
and
. The critical values for this case are:
The margin of error for the proportion interval is given by this formula:
(a)
The margin of error desired is given
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
Replacing we got:
And rounded up we have that n=4906
Part b
For this case since we don't have prior info we need to use as estimatro for the proportion 
And rounded up we have that n=6724
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>

In the given equation,
is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of
. Plug this into
:

<u>2) Determine the y-intercept (b)</u>

Plug in the given point (-6,-29) and solve for b

Simplify -6 and 2

Add 15 to both sides to isolate b

Therefore, the y-intercept is -14. Plug this back into
:

I hope this helps!
Answer:
Step-by-step explanation:
In a rectangle, diagonals are equal and bisect each other
BE = AE
6x - 5 = 2x + 7
6x - 2x - 5 = 7
4x - 5 = 7
4x = 7 + 5
4x = 12
x = 12/4
x = 3
AE = 2x + 7
= 2*3 + 7
= 6 + 7
AE = 13
AC = 13 + 13
AC = 26
m∠EBC = 50
In rectangle, each angle is 90
m∠ABE + m∠EBC = 90
m∠ABE + 50 = 90
m∠ABE = 90 - 50
m∠ABE = 40
In rectangle, AB // DC and DB transversal
m∠ECD = m∠ABE { alternate interior angles}
m∠ECD = 40
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Balance prior to statement date = - 3.46
Minimum bank balance to avoid penalty = $10
The amount of deposit, d made in time in other to avoid penalty fee?
Minimum amount that most have been deposited, d :
Balance prior to statement + d ≥ minimum bank balance to avoid penalty
-3.46 + d ≥ 10
d ≥ 10 + 3.46
d ≥ 13.46
Hence, the minimum amount that must have been deposited to avoid penalty is 13.46
Answer:
Total cost is $100.41 ( $93.84 + $6.57)
Step-by-step explanation:
Thinking Point: The total cost is the cost of the items PLUS the tax. 93.84 ∙ 0.07 = 6.5688 (round to “cents”) = $6.57
Hope this helped!