Leyla drops a penny from a height of 150m.

Mathematics

1 answer:

dusya [7]3 years ago

5 0

Asked and answered elsewhere.
brainly.com/question/9071599

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Write an equation for the simple harmonic motion of a ball on a spring that starts at its lowest point of 6 inches below equilib

olasank [31]

So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.

The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).

6 0

3 years ago

Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. Which equation represents the relationship between t

mamaluj [8]

Answer:

$\angle 1 + \angle 2 = 180^o$

Step-by-step explanation:

Given

$\angle 1$ and $\angle 2$

Required

The relationship between them $\angle 1$ and $\angle 2$

From the question, we understand that $\angle 1$ and $\angle 2$ are supplementary

Supplementary angles add up to 180.

So, the relationship between $\angle 1$ and $\angle 2$ is:

$\angle 1 + \angle 2 = 180^o$

7 0

2 years ago

A recent survey based on a random sample of n=470 voters, predicted that independent candidate for the mayoral election will get

julsineya [31]

I have an expression

$\sigma = \sqrt{p(1-p)/n}$

floating around in my head; let's see if it makes sense.

The variance of binary valued random variable b that comes up 1 with probability p (so has mean p) is

$E( (b-p)^2 ) = (-p)^2(1-p) + (1-p)^2p = p(1-p)$

That's for an individual sample. For the observed average we divide by n, and for the standard deviation we take the square root:

$\sigma = \sqrt{p(1-p)/n}$

Plugging in the numbers,

$\sigma = \sqrt{.24(1-.24)/490} = 0.019 = 1.9\%$

One standard deviation of the average is almost 2% so a 27% outcome was 3/1.9 = 1.6 standard deviations from the mean, corresponding to a two sided probability of a bit bigger than 10% of happening by chance.

So this is borderline suspect; most surveys will include a two sigma margin of error, say plus or minus 4 percent here, and the results were within those bounds.

7 0

3 years ago

Simplify without the absolute value |x+3| ; if x>2

inna [77]

Answer:

$x+3$ if $x>2$