Step-by-step explanation:
First, find the vector.
= (4,2) - (-3,5)
= (4-(-3),2-5)
= (7,-3)
And then, find the distance.
= √(7² + (-3)²)
= √(49 + 9)
= √58 ✓
First step is parentheses so subtract 1/4 from 1
(1-1/4) = (4/4 - 1/4) = (3/4)
After parentheses we perform exponent operations
(3/4)^2 = (3^2/4^2) = (9/16)
Finally, after exponent operations we perform multiplications
(1/3)*(9/16) = (3/16)
Answer:
Step-by-step explanation:
x^2 + 44^2 = 55^2
x^2 + 1936 = 3025
3025-1936 = 1089
sqrt(1089) = 33
x = 33
Answer:
99% Confidence interval: (1196,1973)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 20
Mean, μ = 1584
Standard Deviation, σ = 607
99% Confidence interval:
Putting the values, we get,
Thus, there is a 99% chance that it will break in approximately 1196 to 1972
Answer:
The answer in the explanation
Step-by-step explanation:
we have
Step 1
Determine the least common denominator (LCD) of all fractions in the equation
The LCD is equal to
Step 2
Multiply both sides of the equation by 6 to remove the fractions
Step 3
Solve for x
Group terms
Combine like terms