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4 years ago

Which is an equation of an asymptote of the hyperbola?

Mathematics

1 answer:

Vikentia [17]4 years ago

3 0

Follow the method of rise over run and a is your answer

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Read 2 more answers

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

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

3 years ago

Three boxes are stacked one on top of the other. One box is

igor_vitrenko [27]

First, convert all measurements to inches.

Box 1:
3ft(12in)=36in+6in=42in

Box 2:
4ft(12in)=48in+10in=58in

Box 3:
4ft(12in)=48in+5in=53in

Now, add the heights together.

42in+58in+53in=153in

Finally, convert added height to feet.

153in/12in=12 with a remainder of 9, so your final answer is 12ft 9in

6 0

3 years ago

What is the slope of the the line that goes through (4,3) and (8,5)

TEA [102]

Formula to find the slope:

m = y2-y1 / x2-x1

(4,3); (8,5)

m= 5-3 / 8-4

m = 2/4

m = 1/2

Therefore, the slope of the line that passes through these points is 1/2

3 0

3 years ago