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poizon [28]
3 years ago
10

Which of the following is the correct ratio for converting kilograms to grams

Mathematics
1 answer:
Brrunno [24]3 years ago
6 0

Answer:

1000 Grams : 1 Kilogram or 1 Kilogram : 1000 Grams

Step-by-step explanation:

In the metric system the value of a kilogram is solved like:

Kg = \frac{g}{1000}

When converting from grams to kilograms, we solve it like:

g = \frac{kg}{0.0010000}

Let's take for example:

2 KG is how many grams?

We use the grams to kilograms formula like so:

g = \frac{2}{0.0010000}

Then we end up with:

g = 2000

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Answer:

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Step-by-step explanation:

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3 years ago
A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he
UkoKoshka [18]

Answer:

a) The minimum sample size is 601.

b) The minimum sample size 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 is:

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

For this problem, we have that:

We dont know the true proportion, so we use \pi = 0.5, which is when we are are going to need the largest sample size.

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.

a. If a 95% confidence interval with a margin of error of no more than 0.04 is desired, give a close estimate of the minimum sample size that will guarantee that the desired margin of error is achieved. (Remember to round up any result, if necessary.)

This is n for which M = 0.04. So

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

0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.04\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.04}

(\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2

n = 600.25

Rounding up

The minimum sample size is 601.

b. If a 95% confidence interval with a margin of error of no more than 0.02 is desired, give a close estimate of the minimum sample size necessary to achieve the desired margin of error.

Now we want n for which M = 0.02. So

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 minimum sample size is 2401.

4 0
3 years ago
Joe buys candy that costs $7 per pound. He will spend at least $56 on candy. What are the possible numbers of pounds he will buy
Westkost [7]

Answer:

8 pounds(lbs)

Step-by-step explanation:

If a candy costs $7 per pound, $56 divided by $7 will equal 8 pounds.

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3 years ago
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What is the missing step in this proof? a. ∠abc ≅ ∠dbe b. ∠bca ≅ ∠bde c. ∠acb ≅ ∠deb d. ∠bde ≅ ∠ade e. ∠cab ≅ ∠dac
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Based on the reflexive property of congruency, the missing step in the proof is: A. ∠ABC ≅ ∠DBE

<h3>What is the Reflexive Property of Congruency?</h3>

The reflexive property of congruency states that an angle will always be congruent to itself.

In the diagram given, we can prove that ∠ABC ≅ ∠DBE based on the reflexive property.

Therefore, the missing step in nthe proof is: A. ∠ABC ≅ ∠DBE

Learn more about reflexive property on:

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<span>27/40 is the answer to the fraction problem




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