Answer:
Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is
13x - 4y = 84.
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( 4 ,-8)
point B( x₂ , y₂) ≡ (8 , 5)
To Find:
Equation of Line AB =?
Solution:
Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula
Substituting the given values in a above equation we get
Therefore the equation of the line through ( 4 , -8 ) and ( 8 , 5 ) is
13x - 4y = 84.
Slope is -2/3 and y-intercept is 400
Step-by-step explanation:
- Step 1: The slope-intercept form of an equation is y = mx + b where m is the slope and b is the y-intercept. Rearrange the given equation to this form to find m and b.
2x + 3y = 1200
3y = -2x + 1200
y = -2/3x + 400
∴ m = -2/3 and b = 400
Ummm search it up on google it should be on there
I believe the answer would be 25.83333 or 25.8 if it needed to be simplified
Answer: the qualifying time in seconds is about 25.3
Step-by-step explanation:
Since the personal best finishing times for a particular race in high school track meets are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = personal best finishing times for a particular race.
µ = mean finishing time
σ = standard deviation
From the information given,
µ = 24.6 seconds
σ = 0.64 seconds
The probability value for the top 15% of finishing time for runners to qualify would be (1 - 15/100) = (1 - 0.15) = 0.85
Looking at the normal distribution table, the z score corresponding to the probability value is 1.04
Therefore,
1.04 = (x - 24.6)/0.64
Cross multiplying by 0.64, it becomes
1.04 × 0.64 = x - 24.6
0.6656 = x - 24.6
x = 0.6656 + 24.6
x = 25.3 seconds
