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mixer [17]
3 years ago
8

Can some one friend me plz

Mathematics
1 answer:
Alona [7]3 years ago
4 0

Answer: I didn't understand

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Jordan is running 5 miles for cross-country practice (track). She ran the first 2 miles in 12.5 minutes. How long will it take h
pochemuha

Answer:

31.25 minutes

Step-by-step explanation:

12.5 minutes divided by 2 (miles) = 1 mile per 6.25 minutes

6.25 x 5 = 31.25

6 0
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
A ladder is placed against a wall such that the top is 8 feet above the ground. If the ladder is 10 feet long, how far away from
Annette [7]

Answer:

6 feet

Step-by-step explanation:

Consider the right triangle formed by the wall, ladder and ground.

Let the distance the ladder is from the wall be d , then

Using Pythagoras' identity in the right triangle

The square on the hypotenuse ( ladder) is equal to the sum of the squares on the other 2 sides ( wall and d ), then

d² + 8² = 10²

d² + 64 = 100 ( subtract 64 from both sides )

d² = 36 ( take the square root of both sides )

d = \sqrt{36} = 6

That is the ladder is 6 feet away from the wall

7 0
3 years ago
Which of these points lies on the line described by the equation below? y - 4 = -2(x - 6)
ch4aika [34]
Y - y₁ = m(x - x₁)
 y - 4 = -2(x - 6)
 y - 4 = -2(x) + 2(6)
 y - 4 = -2x + 12
   + 4          +   4
      y = -2x + 16

The answer is D, (6, 4).
3 0
3 years ago
Round 47.6001 to the nearest thousandth_______.
irakobra [83]
47.60<u>0</u>1
         ^thousandth place

the answer is  47.600 or 47.6
5 0
3 years ago
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