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Contact [7]
3 years ago
8

Find the derivate of : y = ln(x)/5x y'=

Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0
The answer should be around

y’=1/5 + 1/5 x In(x)
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An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes ar
konstantin123 [22]

Complete question :

An FBI survey shows that about 30% (i.e., 0.3) of all property crimes go solved. Suppose that in New York City 15 such crimes are committed and they are each deemed independent of each other.

a. What is the probability that exactly 3 of these 15 crimes will be solved? b. What is the probability that at most 3 of these 15 crimes will be solved? c. What is the probability that more than 11 of these 15 crimes will be solved?

Answer:

0.17

0.29686

0.000092

Step-by-step explanation:

Given that :

Probability of success (p) = 0.3

Number of cases (n) = 15

1 - p = 1 - 0.3 = 0.7

Usung binomial distribution formula :

a. What is the probability that exactly 3 of these 15 crimes will be solved?

P(x = 3)

Recall:

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x = 3) = 15C3 * 0.3^3 * 0.7^12

P(x = 3) = 455 *

P(x = 3) = 0.17

B.) What is the probability that at most 3 of these 15 crimes will be solved?

P( X ≤ 3) = P(x = 0) + p(x = 1) + p(x = 2) + p(x = 3)

To save computation time, we can using the binomial probability calculator :

P( X ≤ 3) : 0.00474 + 0.03052 + 0.09156 + 0.17004 = 0.29686

c. What is the probability that more than 11 of these 15 crimes will be solved?

P( X > 11) = P(x = 12) + p(x = 13) + p(x = 14) + p(x = 15)

P( X > 11) = 0.000092

7 0
3 years ago
A square piece of cardboard has sides that are 7/12 meter long. What is the carb words perimeter
gavmur [86]

Since it’s a square all sides are even. Meaning you multiply 7/12 by 4. Giving you 7/3 or 2 ⅓. Hope this helps!

6 0
3 years ago
The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta
dalvyx [7]

Answer:

15 games.

Step-by-step explanation:

Here is the complete question: The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta have total $10.00 to spend. What is the greatest number of games they will be able to play?

Given: Admission fees= $1.25 per person.

           Cost of each game played= $0.50.

           Total Money, Latoya and Donnetta have is $10.

First lets find total admission fees both will pay.

∴ Total addmission fees= Fees\ per\ person \times number\ of\ person

Total addmission fees= \$1.25\times 2= \$ 2.50

Now, money remaining after paying admission fees.

Money remaining = Total\ money - Admission\ fees

∴ Money remaining = \$10-\$2.5= \$ 7.5

∴ Money remained to play video games is $7.5.

Next, finding the maximum number of games, both will be able to play.

As we know, each game will cost $0.50.

Total number of games played= \frac{Money\ remaining}{Cost\ of\ each\ game}

⇒ Total number of games played=\frac{\$ 7.5}{\$ 0.5} = 15\ games

∴ 15 games is the maximum number of games they will be able to play.

3 0
3 years ago
Marcus has hired 3 people to help him with his lawn business. He pays all the same, and he pays them every day. He paid $360 to
deff fn [24]

Hi!

If they each got the same, then they each got 1/3 of the total $360. Therefore, we can divide 360 by 3. We can do this by dividing 36 by 3, 36/3, and that's 12. Then add the 0! 120.

Your sentence could be: "The amount of money each worker got can be represented by 360/3, which is $120."

Hope this helps! :D

3 0
2 years ago
Read 2 more answers
Please answer. 30 points.
kotegsom [21]

Answer:

Srry umm can you zoom in I cant see srry!

Step-by-step explanation:

7 0
3 years ago
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