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3 years ago

Please answer thisssssssssss

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

5 0

Answer:

Range = 3

Step-by-step explanation:

Data set : 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3

Range = Largest Number — Smallest Number

Range = 3 - 0

Range = 3

Hope this helps!

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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

Explain in words how you would graph the following inequality on a number line. 3x < 12 HELPPPPPPPPPPP PLSSSSSS

AnnyKZ [126]

Answer:

x<4

Step-by-step explanation:

3x < 12

Divide with 3 on each side

x< 4

In words x has all the real numbers that are less than 4 or x belongs to any number from -ve infinity to 4.

7 0

2 years ago

I am struggling with triangles missing angles with the formula if you could explain your answer step by step that would be great

Alborosie

Answer:

See below.

Step-by-step explanation:

The 3 angles of all triangles add up to 180 degrees.

An isosceles triangle has 2 of its angles equal.

So if one of the angles is 130 degrees then there cant be another one of 130 degrees as that would make 260 degrees.

So the other 2 angles are equal and their measure is (180 - 130) / 2

= 50 / 2

= 25 degrees.

The 2 equal angles are both 25 degrees.

3 0

3 years ago

What is the value of x in this heptagon?

Ostrovityanka [42]

I think you need to add all the numbers
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2 years ago

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Evaluate f(x)=−4ex−2−4 for x=4. round to the nearest 4 decimal

Travka [436]

Answer:

25.2

Step-by-step explanation:

I'll assume you wrote:

$f(x) = 4e^{x-2} - 4$

So when x = 4:

$4e^{4-2} - 4 = 4e^2 - 4$ ≅ $4\cdot 7.3 - 4 = 25.2$

3 0

1 year ago