Answer:
x=12 is the answer
Step-by-step explanation:
Given:
To find:
The simplified fraction.
Solution:
Step 1: Simplify the numerator
Step 2: Simplify the denominator
Step 3: Using step 1 and step 2
Step 4: Using fraction rule:
Cancel the common factor r and t², we get
Cancel the common factors 16 and 3 on both numerator and denominator.
The simplified fraction is .
Answer:
10
Step-by-step explanation:
The sample size should be 73.
We use the formula
To find the z-score:
Convert 95% to a decimal: 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value goes with a z-score of 1.96. Using this, our value for σ and our margin of error, we have:
Answer:
x = -2, y = 2
Step-by-step explanation:
-7x + 7y = 28
7y = 28 + 7x
y = 4 + x ----(1)
-8x+4y=24 -----(2)
sub (1) into (2)
-8x+4(4+x)=24
-8x+16+4x = 24
-8x+4x = 24-16
-4x = 8
x = -2
sub x = -2 into (1)
y=4+(-2) = 2