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Temka [501]
3 years ago
6

How do I find the angle x if the supplement of the angle is 8 times the angle?

Mathematics
1 answer:
lisov135 [29]3 years ago
4 0

Answer:

20°

Step-by-step explanation:

According to the question, pair of supplementary angles are x and 8x

since they are supplementary, their sum is equal to 180°

x+ 8x = 180°

9x= 180°

x= 180°/9

x= 20°

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7 0
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Read 2 more answers
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 %

Thus the on-time rate of 74% is incorrect.

6 0
2 years ago
The password for a new online gaming site must contain three letters followed by four digits . The digits can be repeated by but
vesna_86 [32]

Answer:

If I am correct, then it is 1,867,866,560 .

Share

Step-by-step explanation:

7 0
2 years ago
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