Answer: 1.25
Step-by-step explanation:
Given: A college-entrance exam is designed so that scores are normally distributed with a mean
= 500 and a standard deviation
= 100.
A z-score measures how many standard deviations a given measurement deviates from the mean.
Let Y be a random variable that denotes the scores in the exam.
Formula for z-score = 
Z-score = 
⇒ Z-score = 
⇒Z-score =1.25
Therefore , the required z-score = 1.25
Answer:
y = -6
x = 1
Step-by-step explanation:
-x + 2y = -13
-x - 2y = 11
Sum the equations:
-x -x = -2x
+2y - 2y = 0
-13 + 11 = -2
then
-2x = -2
x = -2/-2
x = 1
from the first eq.
-x + 2y = -13
-1 + 2y = -13
2y = -13 + 1
2y = -12
y = -12/2
y = -6
check:
from the second eq.
-x -2y = 11
-1 -(2*-6) = 11
-1 -(-12) = 11
-1 + 12 = 11
Area of a circle is computed by multiplying pi to the square of the circle's radius.
A = πr²
50m² = 3.14 r²
50m²/3.14 = r²
r² = 15.92m²
r = √15.92m²
r = 3.99m
Diameter is computed by multiplying the radius twice.
d = 2r
d = 2(3.99m)
d = 7.98m or rounded up to 8 m
Answer:
The question has a mistake
Step-by-step explanation:
11d+7c= 172.5
10d+7c= 155.8
By subtraction;
1d+ 0c = 16.7
1d = 16.7
11×16.7+7c=172.5
7c = 172.5-11*16.7
You will get a negative answer yet the cost cannot be negative.
The value of the (RIC) will increase from 4 to 5.75,that is,44%