The equation of the line in standard form is x + 4y = 8
<h3>How to determine the line equation?</h3>
From the question, the points are given as
(0, 2) and (8, 0)
To start with, we must calculate the slope of the line
This is calculated using
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 2) and (8, 0)
Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
Slope = (0 - 2)/(8 - 0)
Evaluate
Slope = -1/4
The equation of the line can be calculated using as
y - y₁ = m(x + x₁)
Where
(x₁, y₁) = (0, 2)
and
m = slope = -1/4
Substitute the known values in the above equation
So, we have the following equation
y - 2 = -1/4(x - 0)
This gives
y - 2 = -1/4x
Rewrite as
1/4x + y = 2
Multiply by 4
x + 4y = 8
Hence, the line has an equation of x + 4y = 8
Read more about linear equations at
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Answer:
1/12
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that you have 3 tops: green, white, and yellow, the probability of you wearing a green shirt p(g)
= 1/3
since you have 2 pairs of pants: blue and black, the probability of you wearing a blue pant p(b)
= 1/2
And you have 2 pairs of shoes: boots and sandals, the probability of you wearing a pair of boots p(bo)
= 1/2
Hence the probability that you will wear a green shirt with blue pants and boots
= 1/3 * 1/2 * 1/2
= 1/12
Step-by-step explanation:
We want to compare the means, so find the difference and the corresponding standard deviation:
μ = μ₁ − μ₂
μ = 25 − 23
μ = 2
σ = √(σ₁²/n₁ + σ₂²/n)
σ = √(3.1²/50 + 3.2²/50)
σ = 0.63
Using a 95% confidence level, z = 1.96. So the interval is:
CI = 2 ± 1.96 × 0.63
CI = 2 ± 1.2
There is a 95% probability that the true difference in means is between 0.8 and 3.2. Since 0 is not in this interval, we can conclude that there is a significant difference between the commute times for the two populations.
Answer:
.0032 .032 .32 3299
Step-by-step explanation:
0.32% =.0032
3.2% = .032
.32
3299
