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3 years ago

What is the answer???

Mathematics

2 answers:

Aleks [24]3 years ago

8 0

Answer:

Step-by-step explanation:

A is the second best choice, but it is not the answer.

(fog)x means wherever you see an x in f(x), you put g(x)

So f(x) = f(g(x)) = x + 7 = g(x) + 7 = 1/x + 7

Since g(x) = 1/x then f(g(x)) = 1/x + 7

astra-53 [7]3 years ago

7 0

Answer:

is it c?

Step-by-step explanation:

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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

4 years ago

What is the intercept form of the equation y=6x^2+12x-144

Stells [14]

Answer:

y = 6(x + 6)(x - 4).

Step-by-step explanation:

y = 6x^2 + 12x - 144

y = 6(x^2 + 2x - 24) Factoring the trinomial in the parentheses ,we get:

y = 6(x + 6)(x - 4)

4 0

3 years ago

A theater can hold 120 giants or 144 elves. If 90 giants are already inside, how many elves can also be admitted?

navik [9.2K]

Answer:

Step-by-step explanation:

make proportion giants to elves

120/144 = 90/x cross multiply

120x =144*90

120x =12960 divide by 120

x = 108

so if there are 90 giants in the theater there are 108 elves also

considering that total 144 elves can be in the theater subtract 144 and 108 so 36 more elves can be admitted

3 0

4 years ago

Read 2 more answers

ANSWER NOW!!!! PLEASE!!!!

vodomira [7]

answer is 7

7 in answer aggbg

3 0

3 years ago

PLEASE HELP ASAP A factory makes circular rugs with a radius of 4.5 feet. How many braids do they need to go all the way around

KengaRu [80]

Answer:

It C

Step-by-step explanation:

You nee to mulitply: 4.5 x 3.14 = 14.13

hopes this helps

pls mark as brainiest

3 0

2 years ago

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