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kipiarov [429]
3 years ago
11

An article suggests the uniform distribution on the interval from 7.5 to 20 as a model for x = depth (in centimeters) of the bio

turbation layer in sediment for a certain region. (a) draw the density curve for x. what is the probability that x is at most 16

Mathematics
1 answer:
Ede4ka [16]3 years ago
7 0

Answer:

a) Figure attached

b) For this case we want this probability:

P(X>16)

And we can use the complement rule:

P(X>16) = 1-P(X

And we can use the cumulative distribution function given by:

F(x)= \frac{x-a}{b-a}, a\leq X \leq b

And replacing we got:

P(X>16) =1- \frac{16-7.5}{20-7.5} = 1-0.68 = 0.32

Step-by-step explanation:

For this case we define the random variable X= depth (in centimeters) of the bioturbation layer in sediment for a certain region, and we know the distribution for X, given by:

X \sim Unif (a=7.5, b=20)

Part a

For this case we can see the figure attached.

Part b

For this case we want this probability:

P(X>16)

And we can use the complement rule:

P(X>16) = 1-P(X

And we can use the cumulative distribution function given by:

F(x)= \frac{x-a}{b-a}, a\leq X \leq b

And replacing we got:

P(X>16) =1- \frac{16-7.5}{20-7.5} = 1-0.68 = 0.32

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1114$

Step-by-step explanation:

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It's the 11th day of autumn and the first leaf has fallen! If the number of leaves on the ground is tripling with each passing d
AlekseyPX

Answer: 1,594,323

Step-by-step explanation:

No of leaves which falls daily on the first day = 1

No of days leaves falls = 14 days.

Solution:

No of leaves of day 1

= 1.

No of leaves on day 2

= 1*3

= 3

No of leaves of day 3

= 3*3

= 9

No of leaves of day 4

= 9*3

= 27

No of leaves on day 5

= 27*3

= 81

No of leaves on day 6.

= 81*3

= 243.

No of leaves of day 7

= 243*3

= 729

No of leaves on day 8

= 729 * 3

= 2187

No of leaves on day 9

= 2187 *3

= 6561

No of leaves on day 10

= 6561 * 3

= 19683

No of leaves on day 11

= 19683 * 3

= 59049

No of leaves on day 12

= 59049 *3

= 177147

No of leaves on day 13

= 531441

No of leaves on day 14

= 531441 * 3

= 1,594,323.

The number of leaves that would be on the ground on the 24th day of autumn would be 1,594,323

8 0
3 years ago
Two bonds are available on the market as follows: Bond 1: Face value $250, 5 years to maturity at a (simple) interest rate of 5%
tester [92]

The value of r is 5.95%

Step-by-step explanation:

The formula of the simple interest is I = P r t, where

  • P is the initial amount of money
  • r is the interest rate in decimal
  • t is the time

Bond 1:

∵ The face value is $250

∴ P = 250

∵ The value is in the bond for 5 years

∴ t = 5

∵ The simple interest rate is 5%

∴ r = 5% = 5 ÷ 100 = 0.05

∵ I = P r t

- Substitute the values of P, r and t in the rule

∴ I = (250)(0.05)(5) = 62.5

∴ The interest of Bond 1 is $62.5

Bond 2:

∵ The face value is $350

∴ P = 350

∵ The value is in the bond for 3 years

∴ t = 3

∵ The simple interest rate is r

∵ I = P r t

- Substitute the values of P and t in the rule

∴ I = (350)(r)(3) = 1050 r

∴ The interest of Bond 2 is 1050 r

∵ The both bonds yield the same interest to maturity

- Equate the interests of bonds 1 and 2

∵ 1050 r = 62.5

- Divide both sides by 1050

∴ r = 0.0595

- Multiply it by 100% to change it to percentage

∵ r = 0.0595 × 100% = 5.95%

∴ r = 5.95%

The value of r is 5.95%

Learn more:

You can learn more about interest in brainly.com/question/11149751

#LearnwithBrainly

3 0
3 years ago
I need help! operations with mixed numbers
solmaris [256]

Answer:

your answer is (B) 2 2/9

I hope it's helps you

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3 years ago
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