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2 years ago

Solve for x. LMN ~ LEF

Mathematics

1 answer:

shutvik [7]2 years ago

8 0

Answer:

x = 9

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

FL/NL = EL/ML

(2x -5)/78 = 12/72 . . . . . . fill in given values

2x -5 = 78(12/72) = 13 . . . multiply by 78

2x = 18 . . . . add 5

x = 9 . . . . . . divide by 2

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3 years ago

What is the degree of the polynomial?

noname [10]

2 because it's the highest exponent in the expression

8 0

3 years ago

Rewrite the following without an exponent.<br> (-5)-2 (the -2 is the exponent)

yuradex [85]

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Hope this helped you out!

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2 years ago

Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time.

kenny6666 [7]

Answer:

No, the on-time rate of 74% is not correct.

Solution:

As per the question:

Sample size, n = 60

The proportion of the population, P' = 74% = 0.74

q' = 1 - 0.74 = 0.26

We need to find the probability that out of 60 trains, 38 or lesser trains arrive on time.

Now,

The proportion of the given sample, p = $\frac{38}{60} = 0.634$

Therefore, the probability is given by:

$P(p\leq 0.634) = [\frac{p - P'}{\sqrt{\frac{P'q'}{n}}}]\leq [\frac{0.634 - 0.74}{\sqrt{\frac{0.74\times 0.26}{60}}}]$

P $(p\leq 0.634) = P[z\leq -1.87188]$

P $(p\leq 0.634) = P[z\leq -1.87] = 0.0298$

Therefore, Probability of the 38 or lesser trains out of 60 trains to be on time is 0.0298 or 2.98 %

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2 years ago

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gladu [14]

Answer:

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Step-by-step explanation:

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3 years ago