D. 1/4 + 1/5 = 5/20 + 4/20 = 9/20 = 45/100 = 0.45
The gradient is the same as the slope.
The gradient is always before the x variable or is the coefficient of the x variable when an equation is in the slope intercept form.
The gradient in this equation is 1
Answer: A. 13ft
Explanation:
a^2 + b^2 = c^2
a = 5, b = 12
5^2 = 25, 12^2 = 144
25 + 144 = 169
Square root of 169 = 13
Answer:
0.0782 (7.82%)
Step-by-step explanation:
The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.
The PMF (Probability Mass Function) is

Where 
LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula

Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50
1.Combine multiplied terms into a single fraction
2. Multiply by 1
3. Subtract 6 from both sides of the equation
4.Simplify
5.Subtract 3x from both sides of the equation
6.Simplify
7.Multiply all terms by the same value to eliminate fraction denominators
8.Simplify
9.Divide both sides of the equation by the same term
10.Simplify
Solution:x=4