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liq [111]
3 years ago
6

A company advertises two car tire models. The number of thousands of miles that the standard model tires last has a mean \mu_S =

60μ S ​ =60 and standard deviation \sigma_S = 5σ S ​ =5. The number of miles that the extended life tires last has a mean \mu_E = 70μ E ​ =70 and standard deviation \sigma_E = 7σ E ​ =7. If mileages for both tires follow a normal distribution, what is the probability that a randomly selected standard model tire will get more mileage than a randomly selected extended life tire?
Mathematics
1 answer:
Andrew [12]3 years ago
5 0

Answer:

0.123

Step-by-step explanation:

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If an object is projected upward from the top of a 144 ft building at 112 ft per sec, its position (in feet above the ground) is
Mandarinka [93]

When it hits the ground the height would be 0.

Set h to 0 and solve for t ( time)

0 = -16t^2 + 112t + 144 divide both sides by -16:

T^2 -7t -9

Factor the polynomial :

( t- 8.1) (t+1.1

Solve for t setting each equation to 0:

T = 8.1 or t = -1.1

Time has to be positive, so the answer is

8.1 seconds

Depending on how everything gets rounded it could also be 8 seconds.

8 0
4 years ago
Does each function describe exponential growth or decay?
zhannawk [14.2K]

Hey Jinx :)

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Note that a decay has a rate between 0 and 1, and a growth as a rate of 1 or higher.

y = 1/2(1 + 0.03)^t → y = 1/2(1.03)^t (Rate is more then 0) GROWTH

y = 0.3(0.95)^t → (Rate is between 0 and 1) DECAY

y = ((1+0.03)^1/2)^2t → y = y = 1.014^2t (Rate is more then 0) GROWTH

y = 200(0.73)^t → (Rate is between 0 and 1) DECAY

y = 4(1/4)^t → (Rate is between 0 and 1) DECAY

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4 0
3 years ago
Quinn has 6 bottles of water that each weigh \large \frac{3}{5} pound. What is the total weight of the water bottles?_
Art [367]

Answer:

3.6 pounds

Step-by-step explanation:

If 1 bottle weighs 3/5 pounds

the 6 bottles will weigh 6 x 3/5

= 18/5

ratio method :

1:3/5

6:x

since the ratios are direct we can cross multiply

18/5 = 1x

so the 6 bottles weigh 18/5 pounds or 3.6 pounds

5 0
3 years ago
Read 2 more answers
A fair 20 sided dice is rolled 1000 times. how many times would you expect to roll a 6?
Marta_Voda [28]
Well the probability of rolling a six on it would be 1/20.

So, if you're rolling it 1,000 times, 1,000 x 1/20 = 50.

You would roll a six approximately 50 times.
4 0
3 years ago
Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?
Dmitriy789 [7]

Answer:

The vertex is (2,1)

Step-by-step explanation:

ƒ(x) = –x^2 + 4x – 3

Factor out the negative

   = -(x^2 -4x+3)

 Factor

What 2 numbers multiply to +3 and add to -4

-3*-1 = 3

-3+-1 = -4

f(x) =  -( x-3)(x-1)

Find the zeros

0 = -( x-3)(x-1)

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The x value of the vertex is 1/2 way between the two zeros

(3+1)/2 = 4/2 =2

To find the y value, substitute x=2 in

f(2) =  -( 2-3)(2-1)

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The vertex is (2,1)

4 0
3 years ago
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