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Ratling [72]
3 years ago
15

What equals -36 when added but equals 160 when multiplied.

Mathematics
1 answer:
Irina18 [472]3 years ago
7 0
X + y = -36

x * y = 160

x = -36 - y

(-36-y) * y = 160

-36y - y^2 = 160

y^2 + 36y + 160 = 0

y = -5.19  and x = -30.8

or

y = -30.8 and x = -5.19

You can write them in this form too

x+ysqrt(z)


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3 years ago
The equation of motion for a weight suspended from a particular spring is given by p(t)=2sint3+5cost3p(t)=2sin⁡t3+5cos⁡t3, where
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  n         t(n)
 ---   -----------
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4 0
3 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.
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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

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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
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Answer:

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