Oh man, this is the easiest college level math question that I could find as a middle schooler. I would say 8, but it's probably the wrong answer, so um bye.
Answer:
y = -2x + 27
Step-by-step explanation:
Firstly, we shall need to reform the given line equation;
y-7 = 1/2 ( x + 2)
y - 7 = x/2 + 1
y = x/2 + 1 + 8
y = x/2 + 8
Comparing this with y = mx + c
where m is the slope, then the slope of the line is 1/2
Since the line we are looking for has a slope perpendicular to this line, it means that the product of their slopes is -1
m1 * m2 = -1
1/2 * m2 = -1
m2 = -2
So we want an equation with slope -2 passing through (6,15)
we use the point slope method here;
y-y1 = m(x-x1)
y-15 = -2(x-6)
y-15 = -2x + 12
y= -2x + 12 + 15
y = -2x + 27
Using the Poisson distribution, the probability of observing exactly three accidents on this stretch of road next month is given by:
b) 0.052.
<h3>What is the Poisson distribution?</h3>
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
The parameters are:
- x is the number of successes
- e = 2.71828 is the Euler number
is the mean in the given interval.
Researching this problem on the internet, the mean is given by:
.
The probability of observing exactly three accidents on this stretch of road next month is P(X = 3), hence:
Hence option B is correct.
More can be learned about the Poisson distribution at brainly.com/question/13971530
#SPJ4
17.16 is 62.4% of what number?
'is' indicates an equal sign.
62.4% = 0.624
'of' indicates multiplication
'what number' indicates an unknown value that we can call 'x'
17.16 = 0.624 * x
17.16 = 0.624x
Divide 0.624 to both sides:
x = 27.5
The answer would be 30in.
Reasoning: if the two figures are proportional, you would set it up in a proportion. It would be 36/x=12/10. Then cross multiply, so it would be 12x and 36(10). Afterwords you’ll have 12x=360, then divide both sides by 12 and you’ll end up with 30.
