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Flura [38]
3 years ago
9

Given radical a and radical b are in simplest radical form and radical a timed radical b equals c radical d and c radical d is i

n simplest form. Explain in words how c and d are related to a and b. Then give an example to support your solution.

Mathematics
1 answer:
lawyer [7]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

Since sqrt(a) and sqrt(b) are in simplest radical form, that means a and b have no perfect square factors. When sqrt(a) and sqrt(b) are multiplied giving c * sqrt(d), the fact that c came out of the root means that there was c^2 inside the product sqrt(ab). This means that a and b have at least one common factor.

ab = c^2d

Example:

Let a = 6 and let b = 10.

sqrt(6) and sqrt(10) are in simplest radical form.

Now we multiply the radicals.

sqrt(a) * sqrt(b) = sqrt(6) * sqrt(10) = sqrt(60) = sqrt(4 * 15) = 2sqrt(15)

We have c = 2 and d = 15.

ab = c^2d

6 * 10 = 2^2 * 15

60 = 60

Our relationship between a, b and c, d works.

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g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a
Helga [31]

Answer:

The sample size needed is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error of the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use \pi = 0.5

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.02}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}

n = 2401

The sample size needed is 2401.

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3 years ago
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Simplified answer is: 13x - 15

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You can make chili powder from fresh chilis. If 1 chili makes 1 tablespoon of chili powder, how many chilis should you buy?
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6 0
3 years ago
Find the savings plan balance after 18 months with an APR of 3% and monthly payments of $200.
ArbitrLikvidat [17]

The saving plan balance is $3,677.53.

Given that,

  • The no of months is 18.
  • The annual percentage rate is 3% so the monthly rate percentage is 0.25%.
  • And, the monthly payment is $200.

Based on the above information, the following formula should be used:

FVA = PMT×  [(1+r)^n - 1] ÷ r

= $200 × [(1+ 0.0025)^18 - 1] ÷ 0.0025

= $3,677.53

Therefore we can conclude that the saving plan balance is $3,677.53.

Learn more: brainly.com/question/14191332

4 0
3 years ago
Can you help Me? I think i got the answer but im not sure can you help me?
luda_lava [24]

Answer:

think its cineplex hope I helped please mark brainliest

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