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3 years ago

7

A weed called the boomstar Vine is known for growing at a very fast rate. It can grow up to 0.5 feet per day. How fast in inches

per day can the Boomstar Vine grow up to?

2 answers:

Ksju [112]3 years ago

8 0

6 inches per day you have to convert from feet to inches by multiplying by 12

BlackZzzverrR [31]3 years ago

5 0

1 foot = 12 inches

1/2 ( 0.5) feet = 12/2 = 6 inches

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5. Decide if each of the following statements is true or false. Explain your reasoning in each case.

sertanlavr [38]

Answer:

a. The smaller the sample size, the smaller the margin of error.

False if we see the value for the sample size is on the denominator and if we decrease the value of n then increase the value for the margin of error since the margin of error and the sample size are inversely proportional, with the estimated proportion and the confidence level fixed values.

b. If the margin of error is 0.05 and the observed proportion of red chips is 0.45, then the true population proportion is likely to be between 0.40 and 0.50.

Correct. The confidence interval for the population proportion is given by:

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

Or equivalently:

$\hat p \pm ME$

And if we replace on this case we got:

$0.45-0.05=0.40$

$0.45 +0.05=0.50$

So then the true proportion is between 0.4 and 0.5 for this case.

Step-by-step explanation:

Previous concepts

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".

Solution to the problem

The population proportion have the following distribution

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

The margin of error for the proportion interval is given by this formula:

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

Now if we analyze the statements one by one we have this:

a. The smaller the sample size, the smaller the margin of error.

False if we see the value for the sample size is on the denominator and if we decrease the value of n then increase the value for the margin of error since the margin of error and the sample size are inversely proportional, with the estimated proportion and the confidence level fixed values.

b. If the margin of error is 0.05 and the observed proportion of red chips is 0.45, then the true population proportion is likely to be between 0.40 and 0.50.

Correct. The confidence interval for the population proportion is given by:

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

Or equivalently:

$\hat p \pm ME$

And if we replace on this case we got:

$0.45-0.05=0.40$

$0.45 +0.05=0.50$

So then the true proportion is between 0.4 and 0.5 for this case.

4 0

4 years ago

Geometry, dont need explanation. Just those 3 questions.

Aloiza [94]

Answer:

1. B

2. A

3. C

Step-by-step explanation:

6 0

3 years ago

An ice cream shop has a sign in their window that says, "We sell 12,000 scoops per month." The number of scoops has been rounded

dsp73

Answer:

B - 12,111

C - 11,589

Step-by-step explanation:

Here are the options

A - 10, 999

B - 12,111

C - 11,589

In order to round off to the nearest thousand, look at the hundred figure, if the number is greater or equal to 5, add 1 to the thousand figure. If this is not the case, add zero. Replace all the figures before the thousand figure with zero. i.e. the hundred ten, unit

Rounding off 10,999 to the nearest thousand is 11,000

the hundred figure is greater than 5, so one is added to the thousand figure. The

Rounding off 12,111 to the nearest thousand is 12,000

the hundred figure is less than 5, so zero is added to the thousand figure.

Rounding off 11,589 to the nearest thousand is 12,000

the hundred figure is equal to 5, so one is added to the thousand figure.

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3 years ago

Frank Friedman writes a $45 check, but his account has only $20 in it. He must also pay Central City Power and Water charges $25

Ksivusya [100]

20+p -(45+25) is the answer.

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ikadub [295]

Answer:

may I see a photo?

Step-by-step explanation:

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