Answer:
Total discount = $39.50
or 46.47 %
Step-by-step explanation:
First we need to figure out what she will pay for the shoes. She is getting 30 percent off the 65 dollars.
Discount = price * percent off
= 65*.3
= 19.50
The cost of her shoes is the price minus the discount.
Cost = 65- 19.5
= 45.50
To find the total discount, take the original price and subtract the final cost.
Total discount = 85-45.50
= 39.50
To find the total percent discount, we use the formula
total percent discount = (original - final)/original * 100
= (85- 45.50)/85 * 100
= 39.5/85*100
= 46.47%
and 
. So we have a remainder of
and 
. Subtracting this from the previous remainder gives a new remainder
and 
. Subtracting this from the previous remainder gives a new one of
and we're done since 2 does not divide 
. So we have
Answer:
z = 5/2y -1
Step-by-step explanation:
We observe that z has ...
- 1 added
- the sum multiplied by 2/5
To solve for z, we undo these operations in reverse order.
Answer:
Root 181
Step-by-step explanation:
Using distance formula, we know that the answer will be the square root of 181. Unfortunately, this is not a perfect square, and it is prime, so that number will remain the same.
Distance Formula: 
Hope this helped!
Answer:
a) 3.128
b) Yes, it is an outerlier
Step-by-step explanation:
The standardized z-score for a particular sample can be determined via the following expression:
z_i = {x_i -\bar x}/{s}
Where;
\bar x = sample means
s = sample standard deviation
Given data:
the mean shipment thickness (\bar x) = 0.2731 mm
With the standardized deviation (s) = 0.000959 mm
The standardized z-score for a certain shipment with a diameter x_i= 0.2761 mm can be determined via the following previous expression
z_i = {x_i -\bar x}/{s}
z_i = {0.2761-0.2731}/{ 0.000959}
z_i = 3.128
b)
From the standardized z-score
If [z_i < 2]; it typically implies that the data is unusual
If [z_i > 2]; it means that the data value is an outerlier
However, since our z_i > 3 (I.e it is 3.128), we conclude that it is an outerlier.
