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grin007 [14]
3 years ago
14

you are considering changing insurance companies. your current company charges you $1,500 per year for homeowners insurance plus

$300 quarterly (every 3 months) for car insurance. save-with-us insurance company will charge you $1,300 per year for homeowners insurance and $1,400 per year for car insurance.
Mathematics
1 answer:
Jobisdone [24]3 years ago
7 0
Both companies charge the same amount I am assuming you are asking which to go with?<span />
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X² -6 = 5x<br><br> what is x squared minus six equals five x
Fudgin [204]

Answer:

1x^2 -6=5x

1x-6=5x

-6=4x

-6/4x= -1.5

5 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
TRUE OR FALSE? The equation of a line with slope m = -3 and including point (5, 5) is y = -3x + 20.
kodGreya [7K]

Answer:

True.

Step-by-step explanation:

y = -3x + 20

Put x as 5, then y output should be 5.

y = -3(5) + 20

y = -15 + 20

y = 5

True, the line with slope -3 passes through points (5, 5).

8 0
3 years ago
Read 2 more answers
What is the absolute deviation from the mean for the following values
Doss [256]
12, 20, 16, 10, 17, 9, 23, 13
1. add them all up 
=120
divide by the number of numbers
120/8
=15
15 is the MAD
6 0
3 years ago
3(x^2-1) + 4(x^2 - 3) = 13<br><br> solve for x
Mrrafil [7]

Answer:

x=2, x=-2

Step-by-step explanation:

3x²-3+4x²-12=13

7x²=13+12+3

7x²=28

x²=4

x=-2

x=2

4 0
3 years ago
Read 2 more answers
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