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Zina [86]
3 years ago
11

1. Flight 202's arrival time is normally distributed with a mean arrival time of 4:30

Mathematics
1 answer:
Bezzdna [24]3 years ago
6 0

Answer:

Step-by-step explanation:

1) Let the random time variable, X = 45min; mean, ∪ = 30min; standard deviation, α = 15min

By comparing P(0 ≤ Z ≤ 30)

P(Z ≤ X - ∪/α) = P(Z ≤ 45 - 30/15) = P( Z ≤ 1)

Using Table

P(0 ≤ Z ≤ 1) = 0.3413

P(Z > 1) = (0.5 - 0.3413) = 0.1537

∴ P(Z > 45) = 0.1537

2)  By compering (0 ≤ Z ≤ 15) ( that is 4:15pm)

P(Z ≤ 15 - 30/15) = P(Z ≤ -1)

Using Table

P(-1 ≤ Z ≤ 0) = 0.3413

P(Z < 1) = (0.5 - 0.3413) = 0.1587

∴ P(Z < 15) = 0.1587

3) By comparing P(0 ≤ Z ≤ 60) (that is for 5:00pm)

P(Z ≤ 60 - 30/15) = P(Z ≤ 2)

Using Table

P(0 ≤ Z ≤ 1) = 0.4772

P(Z > 1) = (0.5 - 0.4772) = 0.0228

∴ P(Z > 60) = 0.0228

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Yoshi has a rope 30 feet long. He must cut it in pieces that are 1/4 foot long will he get more or fewer than 30 pieces
dybincka [34]

Answer:

More

Step-by-step explanation:

If we divide 30 by .25 we will get 120

5 0
3 years ago
If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul
Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

3 failures every twenty weeks

This means that for 1 week, \mu = \frac{3}{20} = 0.15

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

P(X \leq 1) = P(X = 0) + P(X = 1)

Then

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607

P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0
3 years ago
Angie’s Bake Shop makes birthday chocolate chip cookies that cost $2 each. Angie expects that 10% of the cookies will crack and
wlad13 [49]

Answer:

Step-by-step explanation:

the value of the cookies can be 1.20

8 0
3 years ago
Read 2 more answers
The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams. At present, however, each jar contains an e
Alex_Xolod [135]

Answer:

$0.54

Step-by-step explanation:

Given:

The jars of peanut butter that I buy cost $7.20 each and normally contain 500 grams.

At present, however, each jar contains an extra 20% free.

And additionally, the supermarket has a "buy 3 jars get another one free''.

Question asked:

By how much is the cost per 100 grams of peanut butter less than it normally is if I take full advantage of the supermarket's offer today?

Solution:

Cost of a jars of peanut = $7.20

Normally, weight of peanut butter in one packet = 500 gram

At supermarket offer, each jar contains an extra 20% free, means a packet  of peanut butter contains = 500 + 20% of 500                                                                                                            =500+500\times \frac{20}{100} =500+100=600\ gram

And extra benefit = buy 3 jars get another one free, means we will get 4 jars by just giving price of only 3 jars.

That means, total weight of peanut butter you are getting by giving 3 packet's price =  Each jar weigh \times number of jars

                       = 600 \times 4 = 2400 gram

<u>Cost of each packet will be same as previously as during the offer;</u> $7.20

Cost of 3 packet's peanut (2400 gram) =  7.20\times3=\$21.6

Now, we will calculate cost per 100 grams of peanut butter :

<u>During offer:</u>

Cost of 2400 grams of peanut butter = $21.6

Cost of 1 gram of peanut butter = \frac{21.6}{2400}

Cost of 100 gram of peanut butter = \frac{21.6}{2400}\times100=\frac{2160}{2400} =\$0.9

<u>Normal day:</u>

Cost of 500 grams of peanut butter = $7.20

Cost of 1 gram of peanut butter = \frac{7.20}{500}

Cost of 100 gram of peanut butter = \frac{7.20}{500}\times100=\frac{720}{500} =\$1.44

We found that cost of 100 gram of peanut butter in normal day is $1.44 while cost of 100 gram of peanut butter during offer is $0.9 means cost per 100 gram during offer is ($1.44 - $0.9 = )$0.54 less than cost during normal day.

<u>Conclusion:</u>

Therefore, cost per 100 grams of peanut butter is $0.54 less than it is normally if you take full advantage of the supermarket's offer today.

             

7 0
3 years ago
What is the total surface area??? HELP IM CONFUSED
jeka57 [31]

Answer:

bottom: 12 x 12 = 144

1st triangle: (12 x 8)/2 = 48

2nd triangle: 48

3rd triangle: 48

4th triangle: 48

144 + 48 + 48 + 48 + 48 = <u>336 cm squared</u>

3 0
3 years ago
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