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Tju [1.3M]
3 years ago
15

If someone could help me with this that would be awesome!

Mathematics
1 answer:
Alchen [17]3 years ago
5 0

Answer:

hope this helps. Happy Holidays

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The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typo
muminat

Answer:

The required probability is 0.55404.

Step-by-step explanation:

Consider the provided information.

The number of typographical errors on a page of the first booklet is a Poisson random variable with mean 0.2. The number of typographical errors on a page of second booklet is a Poisson random variable with mean 0.3.

Average error for 7 pages booklet and 5 pages booklet series is:

λ = 0.2×7 + 0.3×5 = 2.9

According to Poisson distribution: {\displaystyle P(k{\text{ events in interval}})={\frac {\lambda ^{k}e^{-\lambda }}{k!}}}

Where \lambda is average number of events.

The probability of more than 2 typographical errors in the two booklets in total is:

P(k > 2)= 1 - {P(k = 0) + P(k = 1) + P(k = 2)}

Substitute the respective values in the above formula.

P(k > 2)= 1 - ({\frac {2.9 ^{0}e^{-2.9}}{0!}} + \frac {2.9 ^{1}e^{-2.9}}{1!}} + \frac {2.9 ^{2}e^{-2.9}}{2!}})

P(k > 2)= 1 - (0.44596)

P(k > 2)=0.55404

Hence, the required probability is 0.55404.

4 0
3 years ago
What does this mean?:<br> How does the data vary?<br> What is the mode?
stellarik [79]
Okay well the mode is the number that appears most pften for ex 112351 the mode is 1 because it is the number that is there more than the others
8 0
4 years ago
Perform the indicated operation of g(x)=2x h(x)=3x+4 find (g-h) (x)​
chubhunter [2.5K]

Answer:   g(h(x))=6x +1 and h(g(x)) = 6x+7

Step-by-step explanation:     Basically , this is a substitution exercise.

g(h(x)) = g(2x-1) . Now substitute x = 2x-1 in for x in g(x)

hence g(2x-1) = 3(2x-1)+4 = 6x - 3 + 4 = 6x + 1

Similarly : h(g(x)) = h(3x+4) substitute x = 3x+4 in h(x)

hence h(3x+4) = 2(3x + 4 ) - 1 = 6x + 8 - 1 = 6x + 7

3 0
3 years ago
Find the volume of a right circular cone that has a height of 12.2 cm and a base with a circumference of 18.5 cm. Round your ans
grin007 [14]

We have been given that a right circular cone has a height of 12.2 cm and a base with a circumference of 18.5 cm. We are asked to find the volume of the cone to nearest tenth.

We know that circumference of circle is equal to 2\pi r.

2\pi r=18.5

r=\frac{18.5}{2\pi}

r=2.944366

Now we will use volume of the cone formula to solve our given problem.

V=\frac{1}{3}\pi r^2 h

V=\frac{1}{3}\pi (2.944366)^2\cdot (12.2)

V=\frac{1}{3}\pi (8.669291141956)\cdot (12.2)

V=\frac{1}{3}\pi (105.7653519318632)

V=\frac{1}{3}(332.2716526334804752)

V=110.7572175

Upon rounding to nearest tenth, we will get:

V\approx 110.8

Therefore, the volume of the given cube would be approximately 110.8 cubic centimeter.

4 0
3 years ago
Mata exercises 30 minutes each day Greg exercises for 10 minutes each day how many more minutes that's Greg exercise in a month
barxatty [35]

Answer:

620 minutes

Step-by-step explanation

In one day,Mata exercise 20minutes more than Greg

31 days so we have 20 *31=620

6 0
3 years ago
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