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adoni [48]
2 years ago
12

Find the slope given the coordinate points.

Mathematics
2 answers:
Sonbull [250]2 years ago
7 0
I think it’s 13 over -160
romanna [79]2 years ago
6 0
5 / 16

m = rise/run = y2 - y1 / x2 - x1

m = 2-7 / (-4) - 12 = -5 / -16

m = 5 / 16
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A pen company averages 1.2 defective pens per carton produced (200 pens). The number of defects per carton is Poisson distribute
nlexa [21]

Answer:

a. P(x = 0 | λ = 1.2) = 0.301

b. P(x ≥ 8 | λ = 1.2) = 0.000

c. P(x > 5 | λ = 1.2) = 0.002

Step-by-step explanation:

If the number of defects per carton is Poisson distributed, with parameter 1.2 pens/carton, we can model the probability of k defects as:

P(k)=\frac{\lambda^{k}e^{-\lambda}}{k!}= \frac{1.2^{k}\cdot e^{-1.2}}{k!}

a. What is the probability of selecting a carton and finding no defective pens?

This happens for k=0, so the probability is:

P(0)=\frac{1.2^{0}\cdot e^{-1.2}}{0!}=e^{-1.2}=0.301

b. What is the probability of finding eight or more defective pens in a carton?

This can be calculated as one minus the probablity of having 7 or less defective pens.

P(k\geq8)=1-P(k

P(0)=1.2^{0} \cdot e^{-1.2}/0!=1*0.3012/1=0.301\\\\P(1)=1.2^{1} \cdot e^{-1.2}/1!=1*0.3012/1=0.361\\\\P(2)=1.2^{2} \cdot e^{-1.2}/2!=1*0.3012/2=0.217\\\\P(3)=1.2^{3} \cdot e^{-1.2}/3!=2*0.3012/6=0.087\\\\P(4)=1.2^{4} \cdot e^{-1.2}/4!=2*0.3012/24=0.026\\\\P(5)=1.2^{5} \cdot e^{-1.2}/5!=2*0.3012/120=0.006\\\\P(6)=1.2^{6} \cdot e^{-1.2}/6!=3*0.3012/720=0.001\\\\P(7)=1.2^{7} \cdot e^{-1.2}/7!=4*0.3012/5040=0\\\\

P(k

c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than five defective pens. What is the probability that a carton contains more than five defective pens?

We can calculate this as we did the previous question, but for k=5.

P(k>5)=1-P(k\leq5)=1-\sum_{k=0}^5P(k)\\\\P(k>5)=1-(0.301+0.361+0.217+0.087+0.026+0.006)\\\\P(k>5)=1-0.998=0.002

5 0
3 years ago
H(x) = ax^2 +1<br> Find the value of a when h(-2) = 21.
blagie [28]

Answer:

a = 5

Step-by-step explanation:

Solving h(-2) = 21:

h(-2) = 21 \\ a(-2)^2 +1 = 21 \\ a(4) +1 = 21 \\ 4a +1 = 21 \\ 4a +1 -1 = 21 -1 \\ 4a = 20 \\ \frac{4a}{4} = \frac{20}{4} \\ a = 5

4 0
2 years ago
Which function below is the inverse of f(x) = 7x-1/2
GaryK [48]
F(x)=7x-1/2
 Add the half to the other side afeterreplacing f(x) with a zero
 1/2=7x divide by 7
7/2=x, when y=0
4 0
3 years ago
Find the mean absolute deviation for the set s={85, 90, 68, 75, 79}
FromTheMoon [43]

Answer: 6.48

Step-by-step explanation:

Mean is 79.4, population size is 5

MAD formular is addition of variance point /population size

n∑∣xi​−xˉ∣​

8 0
3 years ago
F(x) = x + 13, then evaluate f(-2)
Lubov Fominskaja [6]
F(x)= x+13
F(-2)= -2 +13
= 11


You plug in -2 for the x
7 0
2 years ago
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