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3 years ago

Algebraic equation of 185 is less than a number

Mathematics

1 answer:

kkurt [141]3 years ago

4 0

Answer:

n-185

Step-by-step explanation:

since 185 needs to be subtracted from a number, or n

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The expected number of typographical errors on a page of a certain magazine is .2. What is the probability that an article of 10

Pavel [41]

Answer:

a) The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

Step-by-step explanation:

Given : The expected number of typographical errors on a page of a certain magazine is 0.2.

To find : What is the probability that an article of 10 pages contains

(a) 0 and (b) 2 or more typographical errors?

Solution :

Applying Poisson distribution,

$N\sim Pois(0.2)$

$P(N=r)=\frac{e^{-np}(np)^r}{r!}$

where, n is the number of words in a page

and p is the probability of every word with typographical errors.

Here, n=10 and E(N)=np=0.2

a) The probability that an article of 10 pages contains 0 typographical errors.

Substitute r=0 in formula,

$P(N=0)=\frac{e^{-0.2}(0.2)^0}{0!}$

$P(N=0)=\frac{e^{-0.2}}{1}$

$P(N=0)=e^{-0.2}$

$P(N=0)=0.8187$

The probability that an article of 10 pages contains 0 typographical errors is 0.8187.

b) The probability that an article of 10 pages contains 2 or more typographical errors.

Substitute $r\geq 2$ in formula,

$P(N\geq 2)=1-P(N$

$P(N\geq 2)=1-[P(N=0)+P(N=1)]$

$P(N\geq 2)=1-[\frac{e^{-0.2}(0.2)^0}{0!}+\frac{e^{-0.2}(0.2)^1}{1!}]$

$P(N\geq 2)=1-[e^{-0.2}+e^{-0.2}(0.2)]$

$P(N\geq 2)=1-[0.8187+0.1637]$

$P(N\geq 2)=1-0.9825$

$P(N\geq 2)=0.0175$

The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.

6 0

3 years ago

30. The table below shows the number of ants in an ant farm on different

Nitella [24]

Answer:

a)10

b)5120

Step-by-step explanation:

Given that number of ants double after every ten days, form a table that shows numbe of ants from day 1 to day 91

Day Number of Ants

1 10

11 20

21 40

31 80

41 160

51 320-----------------given

61 640------------------given

71 1280----------------given

81 2560

91 5120

Using the given values for number of ants and the number of days, you can notice the trend for values of days and number of ants.After every ten days, number of ants doubles.Using this information, you can navigate backwards up to day 1 and forward up to day 91

4 0

3 years ago

I need help please?!!!

nignag [31]

-1.5 I hope this helps

5 0

3 years ago

Read 2 more answers

I really need help. It would mean a lot ❤️!

crimeas [40]

Answer: The domain has to be x and the range y. But for independent and dependent variable I can't help. So srry. The picture doesn't show the work. Have a nice day :)

4 0

2 years ago

The speed, s, of the current in a certain whirlpool is modeled by s=300/d, where d is the distance from the center of the whirlp

JulijaS [17]

For this case we have the following equation:
s = 300 / d
Where,
s: the speed of the current in a certain whirlpool
d: the distance from the center of the whirlpool
We have then that:
If the distance from the center of the whirpool is large, the speed is small.
If the distance from the center of the whirlpool is very small, the speed tends to infinity
Answer:
Large distance, small speed.
Short distance, speed tends to infinity.

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3 years ago

Read 2 more answers