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2 years ago

Which ratios form a proportion

Mathematics

1 answer:

Lelu [443]2 years ago

3 0

Answer:

Step-by-step explanation:

To form a proportion, you need two equal ratios.

Divide the numerator by the denominator of all fractions.

Any two fractions that are equal are a proportion.

4/9 = 0.4444...

9/4 = 2.25

Fractions are not equal. Not a proportion.

4/10 = 0.4

10/25 = 0.4

Fractions are equal. Proportion

4/11 = 0.363636...

6/13 = 0.46153846...

Fractions are not equal. Not a proportion.

I can't read the fractions, but do the same I did above.

Divide each numerator by the denominator and compare the decimals. If they are equal its a proportion. If theya re not equal, it is not a proportion.

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What is the initial value, and what does it represent?

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A. The initial value is 100; it represents money left over from last year's fundraiser

Step-by-step explanation:

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Martina drove 737 miles in 11 hours. At the same rate, how long would it take her to drive 335 miles?

Dmitriy789 [7]

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5 hours

Step-by-step explanation:

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Which statement is best represented by the inequality c greater-than 3 and one-half?

luda_lava [24]

Answer: Chef Andre used more than 3 and one-half cups of flour.

Step-by-step explanation:

This is the > ‘greater than sign. For the question, we are to get the inequality that shows that"c is greater-than 3 and one-half".

Let Chef Andre be represented by c. Greater than is used to denote a situation when something is."more than" another thing. In this scenario,

Chef Andre used more than 3 and one-half cups of flour. This can be represented as C > 3 1/2.

This is the correct answer.

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3 years ago

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How many times must we toss a coin to ensure that a 0.95-confidence interval for the probability of heads on a single toss has l

musickatia [10]

Answer:

(1) 97

(2) 385

(3) 9604

Step-by-step explanation:

The (1 - α) % confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The margin of error in this interval is:

$MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The formula to compute the sample size is:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}$

(1)

Given:

$\hat p = 0.50\\MOE=0.1\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the z-table for the critical value.

Compute the value of n as follows:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}\\=\frac{1.96^{2}\times0.50\times(1-0.50)}{0.1^{2}}\\=96.04\\\approx97$

Thus, the minimum sample size required is 97.

(2)

Given:

$\hat p = 0.50\\MOE=0.05\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the z-table for the critical value.

Compute the value of n as follows:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}\\=\frac{1.96^{2}\times0.50\times(1-0.50)}{0.05^{2}}\\=384.16\\\approx385$

Thus, the minimum sample size required is 385.

(3)

Given:

$\hat p = 0.50\\MOE=0.01\\z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use the z-table for the critical value.

Compute the value of n as follows:

$\\n=\frac{z_{\alpha/2}^{2}\times \hat p(1-\hat p)}{MOE^{2}}\\=\frac{1.96^{2}\times0.50\times(1-0.50)}{0.01^{2}}\\=9604$

Thus, the minimum sample size required is 9604.

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3 years ago

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kumpel [21]

Answer:

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Step-by-step explanation:

Hope you do well on your assignment!

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