Answer:
80%
Step-by-step explanation:
Percentile rank = (number of scores lower or equal to 82 / total number of scores) * 100%
Percentile = (8 / 10) * 100%
= 0.8 * 100%
= 80%
Answer:
Z = 3
Step-by-step explanation:
In a normal distribution, the Z score that corresponds with a data point x is calculated using the formula;

For the case given, the z score will be;

Answer:
Discount = Original Price x Discount %/100
Discount = 37.99 × 80/100
Discount = 37.99 x 0.8
You save = $30.39
Final Price = Original Price - Discount
Final Price = 37.99 - 30.392
Final Price = $7.60
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.
Step-by-step explanation:
The given is,
a = 5
b = x - 1
c = x
Step:1
Pythagorean theorem is,
................................(1)
( It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )
From the given values the equation (1) becomes,

(
)
25 + (
+ 1 - 2x ) = 
25 + 1 -2x = 0 ( ∵ Eliminate
in both sides)
26 = 2x
x = 13
Step:2
From the values of x,
a = 5
b = ( 13 - 1 ) = 12
c = 13
Result:
The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.