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3 years ago

Newton approximated motion in a circle as a series of linear motions, as in the polygon below.

Mathematics

1 answer:

mojhsa [17]3 years ago

5 0

The answer is the option 3. (the arrow aimed to the center of the polygon)

Why?. Because the particle changed the direction of its movement due to a force inclined respect the motion and aimed to the center. Take in account that the vectors net force and acceleration are parallel.

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A leaking pond loses 20 gallons of water in 49 hours. How many gallons of water will it lose in 5 hours? Round to one decimal pl

White raven [17]

Answer:

12.25

Explanation

49/20 (which is the same as (49÷20)) =2.45

Multiply 2.45 by the amount of hours (5)

$2.45 \times 5 = 12.25$

=12.25

5 0

3 years ago

Read 2 more answers

during a hot summer week, the water level in Wei's pool decreased by 1.9 centimeters. Wei added water to the pool, increasing th

BARSIC [14]

In total, the water level in Wei's pool increased by four centimeters. first, you would take negative one and nine-tenths, then you would add the three and one-half increase. This would give you one and six-tenths. You would then also add the two and four-tenths increase, leaving you with four.

7 0

3 years ago

The product of 5 and x is at least 25

Lady bird [3.3K]

Answer: 5n≥25 and if you divide 5 on both sides, n≥5 (I don't know if you are supposed to solve or simply put it in the equation form).

Step-by-step explanation:

7 0

3 years ago

Find becky's mistake Choose 1

ss7ja [257]

Hi there!

mistake= step 2..

If you can see, the equation is the opposite so this means that to find the answer, your gonna have to add first.. instead of subtracting..

1.Add the terms:

$7+\frac{5}{4}=7\frac{5}{4}$

2.Simplifly the terms:

$7\frac{5}{4}=7\frac{25}{20}$

$\frac{4}{5}=\frac{16}{20}$

3.Subtract the terms:

$7\frac{25}{20}-\frac{16}{20}=7\frac{9}{20}$

Therefore, the mistake was step 2...

3 0

3 years ago

Recent survey data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. Their parents must have

astraxan [27]

Answer:

38.76% probability that between 13 and 17 of these young adults lived with their parents

Step-by-step explanation:

I am going to use the normal approxiation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$p = 0.142, n = 125$

$\mu = E(X) = np = 125*0.142 = 17.75$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{125*0.142*0.858} = 3.9025$

What is the probability that between 13 and 17 of these young adults lived with their parents?

Using continuity correction, this is $P(13 - 0.5 \leq X \leq 17 + 0.5) = P(12.5 \leq 17.5)$ , which is the pvalue of Z when X = 17.5 subtracted by the pvalue of Z when X = 12.5. So