Order each set of numbers from least to greatest. 0.23, 19%, 1/5

kaheart [24]

Since all the numbers are positive, you can take off the absolute value signs. You get 3+10=3+10. Add to get 13=13. Since 13 does equal 13, it does equal each other. Hope this helps! ;)

3 0

3 years ago

How do you find the circumference, radius, and diameter?

igor_vitrenko [27]

Check the picture below.

$\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=2.9 \end{cases}\implies C=2\pi (2.9)\implies C=5.8\pi \implies C\approx 18.22 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{C\div r}{18.22\div 2.9 \approx 6.28}\qquad \stackrel{C\div d}{18.22\div 5.8 \approx 3.14}~\hfill$

4 0

3 years ago

Can someone help me?! i’m stuck between two.

QveST [7]

6 feet.
9.6/8= 1.2, so 1.2*5=6.

6 0

3 years ago

About 1313% of the population of a large country is hopelessly romantichopelessly romantic. If two people are randomly selecte

aleksandr82 [10.1K]

Answer:

Probability both are hopelessly romantic = 0.0169

Probability at least one is hopelessly romantic = 0.2431

Step-by-step explanation:

We are given that about 1313% of the population of a large country is hopelessly romantic.

Also, given two people are randomly selected.

Firstly, Let Probability that the population of a large country is hopelessly romantic = P(R) = 0.13

(a) Probability both are hopelessly romantic is given by = Probability that first person is hopelessly romantic $\times$ Probability that second person is hopelessly romantic

= $P(R) \times P(R)$

= 0.13 $\times$ 0.13 = 0.0169

(b) Now, Probability that the population of a large country is not hopelessly romantic = P(R') = 1 - P(R) = 1 - 0.13 = 0.87.

So, Probability at least one is hopelessly romantic is given by = 1 - Probability that none of them is hopelessly romantic

= $1 - (P(R') \times P(R'))$

= 1 - (0.87 $\times$ 0.87)

= 1 - 0.7569 = 0.2431

5 0

3 years ago

In San Jose a sample of 73 mail carriers showed that 30 had been bitten by an animal during one week. In San Francisco in a samp

dsp73

Answer:

$(0.411-0.7) - 1.96 \sqrt{\frac{0.411(1-0.411)}{73} +\frac{0.7(1-0.7)}{80}}=-0.4401$

$(0.411-0.7) + 1.96 \sqrt{\frac{0.411(1-0.411)}{73} +\frac{0.7(1-0.7)}{80}}=-0.1380$

We are confident at 95% that the difference between the two proportions is between $-0.4401 \leq p_B -p_A \leq -0.1380$

1. -.4401 ≤ p1 - p2 ≤ -.1380

4. The rate of mail carriers being bitten in San Jose is statistically less than the rate San Francisco at α = 5%

Step-by-step explanation:

In San Jose a sample of 73 mail carriers showed that 30 had been bitten by an animal during one week. In San Francisco in a sample of 80 mail carriers, 56 had received animal bites. Is there a significant difference in the proportions? Use a 0.05. Find the 95% confidence interval for the difference of the two proportions. Sellect all correct statements below based on the data given in this problem.

1. -.4401 ≤ p1 - p2 ≤ -.1380

2. -.4401 ≤ p1 - p2 ≤ .1380

3. The rate of mail carriers being bitten in San Jose is statistically greater than the rate San Francisco at α = 5%

4. The rate of mail carriers being bitten in San Jose is statistically less than the rate San Francisco at α = 5%

5. The rate of mail carriers being bitten in San Jose and San Francisco are statistically equal at α = 5%

Solution to the problem

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_1$ represent the real population proportion for San Jose

$\hat p_1 =\frac{30}{73}=0.411$ represent the estimated proportion for San Jos

$n_1=73$ is the sample size required for San Jose

$p_2$ represent the real population proportion for San Francisco

$\hat p_2 =\frac{56}{80}=0.7$ represent the estimated proportion for San Francisco

$n_2=80$ is the sample size required for San Francisco

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_1 -\hat p_1) \pm z_{\alpha/2} \sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2 (1-\hat p_2)}{n_2}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$(0.411-0.7) - 1.96 \sqrt{\frac{0.411(1-0.411)}{73} +\frac{0.7(1-0.7)}{80}}=-0.4401$

$(0.411-0.7) + 1.96 \sqrt{\frac{0.411(1-0.411)}{73} +\frac{0.7(1-0.7)}{80}}=-0.1380$

We are confident at 95% that the difference between the two proportions is between $-0.4401 \leq p_B -p_A \leq -0.1380$

Since the confidence interval contains all negative values we can conclude that the proportion for San Jose is significantly lower than the proportion for San Francisco at 5% level.

Based on this the correct options are:

1. -.4401 ≤ p1 - p2 ≤ -.1380

4. The rate of mail carriers being bitten in San Jose is statistically less than the rate San Francisco at α = 5%

8 0

3 years ago