Answer:
- 8x + 3y = 57
- y = -8/3x + 19
- y + 5 = -8/3(x - 9)
Step-by-step explanation:
<u>Given function</u>
<u>Line parallel to the given has the same slope and passes through the point </u>
<u>Determining the equation</u>
- 8x + 3y = c
- 8*9 + 3*(-5) = c
- c=72 - 15
- c = 57
<u>So the function is in </u><u>standard</u><u> form</u>
<u>Converting to </u><u>slope-intercept</u><u> form</u>
- y = mx + b
- 3y = -8x + 57
- y = -8/3x + 573
- y = -8/3x + 19
<u>Point-slope</u><u> form, using the given point</u>
- y - y1 = m(x - x1)
- y - (-5) = -8/3(x - 9)
- y + 5 = -8/3(x - 9)
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 6 minutes
σ = 1 minute
the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as
P(4 ≤ x ≤ 8)
For x = 4,
z = (4 - 6)/1 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 8
z = (8 - 6)/1 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
Therefore,
P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75
The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is
0.75 × 100 = 75%
Step-by-step explanation:
The solution is one-solution
.3(12x-16)=.4(12-3x) (you do the distributive property)
3.6x-4.8=4.8-.12x (you add 1.2 to both sides)
3.6x-3.6=4.8 (You add 3.6 to both sides)
3.6x=8.4 ( You divide 3.6 both numbers)
x=0.4285...
Its a one-solution
