Given :
p = 0.68
margin of error, E = 0.1
99% confident interval
alpha, α = 1 - 0.99
= 0.01
∴ (z-critical value)
Sample size =
= 144.37
= 145 (rounded off)
Therefore, there are 145 businesses does she need to sample to meet this criteria.
Answer:
<em>Martin saved $75 on the television because of the sale</em>
Step-by-step explanation:
<u>Equations</u>
Let's call x=the original price of the television (before discount).
The television had been on sale for 25% off, this means the discount was:
25% of x = = 0.25x
The sale price was the original price minus the discount:
x - 0.25x = 0.75x
This is what Martin paid, thus:
0.75x = 225
Dividing by 0.75:
x = 225 / 0.75
x = $300
The original price of the television was $300, and the discount was:
0.25*$300 = $75
Martin saved $75 on the television because of the sale
Answer:
Step-by-step explanation:
Use FOIL method
(2 - 7x)(-x + 2) = 2*(-x) + 2*2 + (-7x)*(-x) + (-7x)*2
= -2x + 4 + 7x² - 14x {Combine like terms}
= 7x² - 14x - 2x + 4
= 7x² - 16x + 4
x²(2-7x)(-x + 2)= x² (7x² - 16x + 4)
= x²*7x² - 16x * x² + 4x²
Ray CD cuts angle PCR in half.
PCD = 35 degrees.
So, RCD = PCD or 35 degrees.
The correct question in the attached figure
Let
x-------------> <span>the number of granola bars
y-------------> the pounds of fruit
we know that
if 12 bars------------> cost $12
1 bars--------------> X
X=12/12---> x=$1
1 bar---------> cost $1
if 9 pounds of fruit----------> cost $36
1 pound-------------------> X
X=36/9--------> x=$4
1 pound -------> cost $4
</span><span>expression for the total cost=(1)*x+(4)*y----------> x+4y
</span><span>x=12
y=9
then
</span>the total cost=12+4*9----- $48
<span>an inequality that compares
the total cost with the amount you have to spend is
x+4y<=48
</span>
using a graph tool see the attached figure
<span>the inequality that models the number of granola bars you need to buy is
</span>
x<=12 the solution for the number of granola bars is the interval [0,12]