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3 years ago

Triangle IJK is dilated by a scale factor of 3/4

Mathematics

1 answer:

Alecsey [184]3 years ago

8 0

Answer:

Step-by-step explanation:

JK * 3/4 = J'K'
JK * 3/4 = 13.5
JK = 13.5 : 3/4
JK = 13.5*4/3
JK = 18

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Translate this phrase into an algebraic expression.<br> The sum of 26 and twice a number

nevsk [136]

Answer:

Step-by-step explanation:

26×N

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3 years ago

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.

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4 years ago

Justin runs each lap in 8 minutes. He will run at least 6 laps today. What are the possible numbers of minutes he will run today

IgorC [24]

Answer:

48 minutes

Answer:

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3 years ago

A light bulb consumes 3600 watt-hours per day. How many watt-hours does it consume in 5 days and 18 hours?

andriy [413]

1 day equals 24 hours.

18 hours / 24 hours = 0.75 days

The total days is 5.75 days.

Multiply the amount the bulb uses in 1 day by 5.75 days:

3600 x 5.75 = 20,700 watt-hours.

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3 years ago

A math teacher’s midterm is worth 200 points. The mean of the test is 143 and the standard deviation is 15.7. If the scores have

Klio2033 [76]

The answer is D: about 95%.

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4 years ago

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