Answer:
Step-by-step explanation:
The coordinates of the points through which the line passes are (1, 3) and (5, 1)
The slope, m, of a line given the coordinates of two known points on the line, (x₁, y₁), (x₂, y₂) can be found as follows;
The slope of the given line is therefore
The equation of the line in point and slope form is therefore, y - y₁ = m·(x - x₁) or y - y₂ = m·(x - x₂)
Therefore, by substituting the known values, we have the equation in point and slope form as follows;
Answer:
a) X ~
b) μ = 100/3
c)
d) A battery is expected to last 100/3 months (33 months and 10 days approximately).
e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).
Step-by-step explanation:
a) The life of a battery is usually modeled with an exponential distribution X ~
b) The mean of X is μ = 1/0.03 = 100/3
c) The standard deviation is
d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.
e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.
Answer:
Step-by-step explanation:
Area of rectangle is
A = 5(4x) = 20x
Part A
(D) <em>100 ≤ 20x ≤ 1,000</em>
Part B
≤
≤
<em>5 ≤ x ≤ 50</em>
Answer:
C. 4.2a + 0.8
Step-by-step explanation:
Given:
The two binomials given for addition are:
and
Now, adding both the binomials, we get:
Distributing the positive sign inside the second binomial, we get:
Now, combining like terms using the commutative property of addition, we get:
Simplifying the above expression, we get:
Therefore, the resulting addition of the given binomials is
Hence, option C is the correct answer.