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2 months ago

Unit for and standard form of 5 hundreds x 10

Mathematics

2 answers:

babunello [11.8K]2 months ago

8 0

Answer:

Standard form: 5000

Unit form: 5 thousands.

Explanation in steps:

The given number is expressed in tens. To write it in standard form, expand as follows:

5 hundreds = $5\times 100=500$

$\text{5-hundreds}\times 10=500\times 10=5000$

Thus, the standard form is 5000.

Unit form means expressing a number based on its place values.

Here, the number contains zero in the ones, tens, and hundreds places, and five in the thousands place.

Therefore, the unit form is 5 thousands.

tester [12.3K]2 months ago

8 0

My answer is 5000 because multiplying 500 by 10 gives 5000.

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1 month ago

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Svet_ta [12734]

Answer:

$172-2.51\frac{16}{\sqrt{23}}=163.626$

$172+2.51\frac{16}{\sqrt{23}}=180.374$

Hence, in this case, the 98% confidence interval would be (163.626;180.374)

Step-by-step breakdown:

Previous concepts

A confidence interval represents a range that is likely to encompass a population value within a specific confidence level, typically expressed as a percentage whereby a population mean falls between an upper and lower limit.

The margin of errorindicates the span of values surrounding the sample statistic in a confidence interval.

A normal distributionillustrates a probability distribution that is symmetrical around the mean, signifying that values near the mean occur more frequently than those farther away from it.

$\bar X=172$ denote the sample mean

$\mu$ population mean (the variable of interest)

s=16 signifies the sample standard deviation

n=23 represents the sample size

The solution to the query

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

To determine the critical value $t_{\alpha/2}$ , we first need to calculate the degrees of freedom, which is expressed as:

$df=n-1=23-1=22$

Since the confidence level is 0.98 or 98%, we find the value of $\alpha=0.02$ and $\alpha/2 =0.01$ using tools like Excel or a calculator, where the Excel command would be: "=-T.INV(0.01,22)". This yields $t_{\alpha/2}=2.51$

Having all components ready, we can substitute into formula (1):

$172-2.51\frac{16}{\sqrt{23}}=163.626$

$172+2.51\frac{16}{\sqrt{23}}=180.374$

Thus, for this case, the 98% confidence interval will be (163.626;180.374)

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Answer:

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Step-by-step explanation:

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