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padilas [110]
1 year ago
5

Name the vertex of angle 6.

Mathematics
1 answer:
amid [387]1 year ago
8 0

Answer:

D

Step-by-step explanation:

∠ 6 is formed by the 2 lines that intersect at D

then the vertex of ∠ 6 is D

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Alan washed 60 plates in 30 minutes. It took him 3 minutes to wash 6 plates. Is the number of plates washed in 3 minutes proport
timofeeve [1]

Answer:

Yes

Step-by-step explanation:

The numbers both multiplied by 10

3 -6

30-60

7 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
2 years ago
If another 10-year old were to join the baseball team shown in the scatter plot below, what is the best estimate for his height?
MissTica

Answer:

55

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the equation of a line with slope 2 and intercept 4?
Greeley [361]

The linear equation/slope intercept form is y=mx+b

M is the slope and b is the y-intercept.

So the equation would be: y=2x+4

3 0
2 years ago
Read 2 more answers
Lisa drank 7/16 of a bottle of water during the soccer game. Julianne drank 2/3 of the water in a bottle that was the same size
frez [133]

Answer:

julianne drank by about .1 tenth

Step-by-step explanation:


5 0
2 years ago
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