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Sidana [21]
3 years ago
13

In triangle NML, NL=NM, and the perimeter is 52 cm. A,B, and C are points of tangency to the circle. MC=6 cm. Find NL. Explain r

easoning. (Fig not drawn to scale)

Mathematics
1 answer:
Natalka [10]3 years ago
7 0
I hope this helps you

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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
<img src="https://tex.z-dn.net/?f=785y%20%5Ctimes%20x%20%7C8%7C%20" id="TexFormula1" title="785y \times x |8| " alt="785y \times
steposvetlana [31]

The anwser is: 6280yx²

7 0
2 years ago
Read 2 more answers
How many times greater is 1 kilogram than 1 microgram?
Pani-rosa [81]
Using this table as a reference, you can see the following: A kilogram is 1,000 times<span>larger than one gram (so 1 kilogram = 1,000 grams). A centimeter is </span>100 times<span>smaller than one meter (so 1 meter = 100 centimeters). A dekaliter is </span>10 times<span>larger than one liter (so 1 dekaliter = 10 liters).</span>
7 0
3 years ago
Read 2 more answers
Can someone please help me
Contact [7]

slope = (6 - 1)/(-2 - 1) = 5/-3 = -5/3

Equation

y - 6 = -5/3 (x + 2)

Hope it helps

6 0
3 years ago
Which notation best represents the phrase “no more than 200”
Lilit [14]

Answer:

X<_200

Step-by-step explanation:

We know that if the number connot be more than 200 then the number is less than or equal to 200

7 0
3 years ago
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