Answr:
p=−7/2
Step-by-step explanation:
Simplify both sides of the equation.
p+
1
2
=−3
Step 2: Subtract 1/2 from both sides.
p+
1
2
−
1
2
=−3−
1
2
p=
−7
2
Answer:
Regular price of a ticket = $60
Step-by-step explanation:
Given:
On purchasing museum tickets in advance customers get 10% off on the regular price of ticket.
Anias paid the sale price of ticket = $54
To find the regular price of ticket.
Solution:
Let the regular price of ticket in dollars be
Discount offered for booking in advance = 10%
Discount amount in dollars = 
Sale price of a ticket in dollars= Regular price - Discount amount= 
Sale price given for a ticket = $54
So, we have:

Dividing both sides by 0.9

∴ 
∴ Regular price of a ticket = $60
Let p be the proportion. Let c be the given confidence level , n be the sample size.
Given: p=0.3, n=1180, c=0.99
The formula to find the Margin of error is
ME = 
Where z (α/2) is critical value of z.
P(Z < z) = α/2
where α/2 = (1- 0.99) /2 = 0.005
P(Z < z) = 0.005
So in z score table look for probability exactly or close to 0.005 . There is no exact 0.005 probability value in z score table. However there two close values 0.0051 and 0.0049 . It means our required 0.005 value lies between these two probability values.
The z score corresponding to 0.0051 is -2.57 and 0.0049 is -2.58. So the required z score will be average of -2.57 and -2.58
(-2.57) + (-2.58) = -5.15
-5.15/2 = -2.575
For computing margin of error consider positive z score value which is 2.575
The margin of error will be
ME = 
=
= 2.575 * 0.0133
ME = 0.0342
The margin of error is 0.0342