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leonid [27]
3 years ago
9

7. If a set of data points has a trend line of y = 4.2x - 3, what is the predicted value of x when

Mathematics
1 answer:
elixir [45]3 years ago
8 0

Answer:

The predicted value of x = 2

Step-by-step explanation:

y = 4.2x - 3 is the given equation.

Now, y = 5.4

Putting in the above equation, we get

5.4 = 4.2x - 3

or, 5.4 + 3 = 4.2x

or, 8.4 = 4.2 x

⇒ x  = 8.4/4.2

⇒ x = 2

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Consider a system with one component that is subject to failure, and suppose that we have 115 copies of the component. Suppose f
castortr0y [4]

Answer:

Step-by-step explanation:

From the given information:

the mean (\mu) = 115 \times 20

= 2300

Standard deviation = 20 \times \sqrt{115}

Standard deviation (SD) = 214.4761

TO find:

a) P(x > 3500)= P(Z > \dfrac{3500-\mu}{214.4761})

P(x > 3500)= P(Z > \dfrac{3500-2300}{214.4761})

P(x > 3500)= P(Z > \dfrac{1200}{214.4761})

P(x > 3500)= P(Z >5.595)

From the Z-table, since 5.595 is > 3.999

P(x > 3500)=1-0.9999

P(x > 3500) = 0.0001

b)

Here, the replacement time for the mean (\mu) = \dfrac{0+0.5}{2}

= 0.25

Replacement time for the Standard deviation \sigma = \dfrac{0.5-0}{\sqrt{12}}

\sigma = 0.1443

For 115 component, the mean time = (115 × 20)+(114×0.25)

= 2300 + 28.5

= 2328.5

Standard deviation = \sqrt{(115\times 20^2) +(114\times (0.1443)^2)}

= \sqrt{(115\times 400) +(114\times 0.02082249}

= \sqrt{(46000) +2.37376386}

= \sqrt{(46000) +(2.37376386)}

= \sqrt{46002.374}

= 214.482

Now; the required probability:

P(x > 4125) = P(Z > \dfrac{4125- 2328.5}{214.482})

P(x > 4125) = P(Z > \dfrac{1796.5}{214.482})

P(x > 4125) = P(Z >8.376)

P(x > 4125) =1-  P(Z

From the Z-table, since 8.376 is > 3.999

P(x > 4125) = 1 - 0.9999

P(x > 4125) = 0.0001

7 0
2 years ago
Perform the operation. enter your answer as in scientific notation<br><br><br> 9×10²-5.6×10²
algol [13]
The answer is 340, not super good at math so dont know what scientific notation is but there you go
6 0
3 years ago
ASAP 10 POINTS IF YOU ANSWER
kiruha [24]

Step-by-step explanation:

-18.4,-17.3,-1.4,7.8,15.8,16.2

5 0
3 years ago
Read 2 more answers
Help!
AnnyKZ [126]

Answer:

2 stars and 3 points

Step-by-step explanation:

8+2=10

10+4=14

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the value increases by 2 each time.

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15+6=21

21+9=30

this value is based on multiples of three.

Good luck

7 0
3 years ago
Read 2 more answers
A truck was carrying 2 and 1/8 tons of sand. When it arrived, only 1 and 1/2 ton of sand were left. How much sand was lost along
erica [24]
I'm pretty sure  it's 1 5/8
5 0
3 years ago
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