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Genrish500 [490]
3 years ago
5

Which of the following proportions can be used to find the value of n?​

Mathematics
2 answers:
Alchen [17]3 years ago
6 0

Answer:

B) \frac{n}{11} = \frac{15}{5}

Step-by-step explanation:

The side "ML" is similar to the side "IH", as shown by their position and the small line going through them. If we create a ratio of these sides since they are similar, we get 15/5.

The format of this ratio is (side on big trapezoid)/(side on small trapezoid).

Now, we substitute "GH" in the correct spot now that we have established the format for our ratios.

since "GH" is on the small trapezoid, we get a ratio of

(side on big trapezoid)/11.

So if we set both of our ratios equal to one another now, this is what we get:

\frac{n}{11} = \frac{15}{5}

which matches choice B.

MakcuM [25]3 years ago
3 0

Answer:

B. \frac{n}{11} =\frac{15}{5}

Step-by-step explanation:

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Read 2 more answers
The lifetime of LCD TV sets follows an exponential distribution with a mean of 100,000 hours. Compute the probability a televisi
kondaur [170]

Answer:

0.9

0.3012

0.1809

230258.5

Step-by-step explanation:

Given that:

μ = 100,000

λ = 1/μ = 1 / 100000 = 0.00001

a. Fails in less than 10,000 hours.

P(X < 10,000) = 1 - e^-λx

x = 10,000

P(X < 10,000) = 1 - e^-(0.00001 * 10000)

= 1 - e^-0.1

= 1 - 0.1

= 0.9

b. Lasts more than 120,000 hours.

X more than 120000

P(X > 120,000) = e^-λx

P(X > 120,000) = e^-(0.00001 * 120000)

P(X > 120,000) = e^-1.2

= 0.3011942 = 0.3012

c. Fails between 60,000 and 100,000 hours of use.

P(X < 60000) = 1 - e^-λx

x = 60000

P(X < 60,000) = 1 - e^-(0.00001 * 60000)

= 1 - e-^-0.6

= 1 - 0.5488116

= 0.4511883

P(X < 100000) = 1 - e^-λx

x = 100000

P(X < 60,000) = 1 - e^-(0.00001 * 100000)

= 1 - e^-1

= 1 - 0.3678794

= 0.6321205

Hence,

0.6321205 - 0.4511883 = 0.1809322

d. Find the 90th percentile. So 10 percent of the TV sets last more than what length of time?

P(x > x) = 10% = 0.1

P(x > x) = e^-λx

0.1 = e^-0.00001 * x

Take the In

−2.302585 = - 0.00001x

2.302585 / 0.00001

= 230258.5

3 0
3 years ago
x= infinity; 9x to the power of 3 + x to the power of 2 - 5 divided by 3x to the power of 4 + 4x to the power of 2
Delvig [45]

Answer:

here n Hope it helps. goodluck

5 0
2 years ago
1. Rhode Island is the smallest state. It has an area of
Viktor [21]

Answer:

663.4

Step-by-step explanation:

1.55 x 10 = 15.5

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hope i helped

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2 years ago
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