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3 years ago

What happens to the value of the expression 150-j as j decrease

Mathematics

1 answer:

astraxan [27]3 years ago

3 0

Answer:

As j decreases, the expression increases.

Step-by-step explanation:

As j decreases, the expression will increase. This is because once it becomes a lower number, it will subtract less from 150, and it will soon eventually add towards with 150, if j is negative.

Hope this helps!

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You can walk 3 miles per hour, jog 5 miles per hour, or run 10 miles per hour. You go a full hour before changing pace. At the e

Studentka2010 [4]

Answer:

b. How many ways arc there to go 12 miles?

≡ p(12) = 25

c. How many ways arc there to go 20 miles?

≡ p(20) = 131

d. How many ways arc there to go 22 miles?

≡p(22) 199

Step-by-step explanation:

a) supposed you walked for the first hour. Then you would have travelled 3 miles. if you jogged you would have covered 5miles and if you run you would have covered 10miles. now you have to decide how to run the rest miles from the n miles.

Thus, the number of ways one can cover n miles will be given by the recurrence relation

p(n) = p( n-3) + p( n-5) + p( n - 10)

now to solve the rest of the question, let us make a table which provides the number of ways for n = 1 to 22.

check the attachment for the table

b. How many ways arc there to go 12 miles?

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c. How many ways arc there to go 20 miles?

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d. How many ways arc there to go 22 miles?

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3 years ago

What is the correct equation for a line that has a slope of 1/3, and a y intercept of 4

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Answer:

y=1/3x+4

Step-by-step explanation:

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3 years ago

The amount of toothpaste in a tube is normally distributed with a mean of 6.5 ounces and a standard

Anarel [89]

Answer:

a) 266 tubes , TC_r = $53.2

b) 266 tubes , T.Loss = $13.30

Step-by-step explanation:

Given:

- The sample size of tubes n = 1,000 tubes

- The mean of the sample u = 6.5 oz

- The standard deviation of the sample s.d = 0.8 oz

- Cost of manufacturing a tube C_t = 50 cents

- Cost of refilling a tube C_r = 20 cents

- Profit loss per tube Loss = 5 cents

Find:

a). How many tubes will be found to contain less than 6 ounces? In that case, what will be the total cost of the refill?

b) How many tubes will be found to contain more than 7 ounces? In that case, what will be the amount of profit lost?

Solution:

- First we will compute the probability of tube containing less than 6 oz.

- Declaring X : The amount of toothpaste.

Where, X ~ N ( 6.5 , 0.8 )

- We need to compute P ( X < 6 oz )?

Compute the Z-score value:

P ( X < 6 oz ) = P ( Z < (6 - 6.5) / 0.8 ) = P ( Z < -0.625 )

Use the Z table to find the probability:

P ( X < 6 oz ) = P ( Z < -0.625 ) = 0.266

- The probability that it lies below 6 ounces. The total sample size is n = 1000.

The number of tubes with X < 6 ounces = 1000* P ( X < 6 oz )

= 1000*0.266 = 266 tubes.

- The total cost of refill:

TC_r = C_f*(number of tubes with X < 6)

TC_r = 20*266 = 5320 cents = $53.2

- We need to compute P ( X > 7 oz )?

Compute the Z-score value:

P ( X > 7 oz ) = P ( Z > (7 - 6.5) / 0.8 ) = P ( Z < 0.625 )

Use the Z table to find the probability:

P ( X > 7 oz ) = P ( Z > 0.625 ) = 0.266

- The probability that it lies above 7 ounces. The total sample size is n = 1000.

The number of tubes with X > 7 ounces = 1000* P ( X > 7 oz )

= 1000*0.266 = 266 tubes.

- The total cost of refill:

T.Loss = Loss*(number of tubes with X > 7)

T.Loss = 5*266 = 1330 cents = $13.30

5 0

3 years ago