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Lorico [155]
2 years ago
15

Jason states that -5.0 is not an integer because it is a decimal. Is he correct? Why or why not?

Mathematics
1 answer:
gulaghasi [49]2 years ago
5 0

Answer:

The answer is No, he's incorrect

Step-by-step explanation:

Because -5.0 is still -5 so therefore it makes -5.0 an integer

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Formula of interest =PRT divided by 100

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If a hurricane was headed your way, would you evacuate? The headline of a press release states, "Thirty-four Percent of People o
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Answer:

The 98% confidence interval would be given by (0.326;0.354)

Step-by-step explanation:

1) Notation and definitions

X=63 number of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

n=6138 random sample taken

\hat p=0.34 estimated proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

p true population proportion of people who live within 20 miles of the coast in high hurricane risk counties of eight southern states

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".  

The population proportion have the following distribution

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

2) Confidence interval

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 98% of confidence, our significance level would be given by \alpha=1-0.98=0.02 and \alpha/2 =0.01. And the critical value would be given by:

z_{\alpha/2}=-2.33, z_{1-\alpha/2}=2.33

The confidence interval for the mean is given by the following formula:  

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

If we replace the values obtained we got:

0.34 - 2.33\sqrt{\frac{0.34(1-0.34)}{6138}}=0.326

0.34 + 2.33\sqrt{\frac{0.34(1-0.34)}{6138}}=0.354

The 98% confidence interval would be given by (0.326;0.354)

8 0
2 years ago
A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean
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Standard Deviation : \sigma = 1.8\text{ hours}

Sample size : n=40

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z=\dfrac{X-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For X=7.6 hours.

z=\dfrac{7.6-8.4}{\dfrac{1.8}{\sqrt{40}}}=-2.81091347571\approx-2.8

P(X

Hence, the probability that their mean rebuild time is less than 7.6 hours = 0.0026

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2 years ago
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Janine can use up to 150 one-inch blocks to build a solid, cube-shaped model. What are the dimensions of the possible models tha
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Answer:

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Step-by-step explanation:

1x1=1

2x2=4

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5x5=25

6x6=36

7x7=49

8x8=64

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10x10=100

11x11=121

12x12=144

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2 years ago
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