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4 years ago

Write the numbers in Two forms 314,207

1 answer:

4 0

Word form: Three hundred fourteen thousand two hundred seven.

Expanded form: 300,000 + 10,000 + 4,000 + 200 + 7

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The answer to a multiplication problem<br>5 x 2 = 10<br>Sum<br>Difference<br>Product<br>Quotient

Nonamiya [84]

Answer:

Product

Step-by-step explanation:

4 0

3 years ago

Noise levels at 5 airports were measured in decibels yielding the following data: 152,154,139,124,120 Construct the 80% confiden

Yuri [45]

Answer:

$137.8-1.533\frac{15.595}{\sqrt{5}}=127.108$

$137.8+1.533\frac{15.595}{\sqrt{5}}=148.492$

So on this case the 80% confidence interval would be given by (127.108;148.492)

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

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

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

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=137.8$

The sample deviation calculated $s=15.595$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=5-1=4$

Since the Confidence is 0.80 or 80%, the value of $\alpha=0.2$ and $\alpha/2 =0.1$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.1,4)".And we see that $t_{\alpha/2}=1.533$

Now we have everything in order to replace into formula (1):

$137.8-1.533\frac{15.595}{\sqrt{5}}=127.108$

$137.8+1.533\frac{15.595}{\sqrt{5}}=148.492$

So on this case the 80% confidence interval would be given by (127.108;148.492)

5 0

4 years ago

What is mean by vertically opposite angle

N76 [4]

Answer:

Vertically Opposite Angles are the angles opposite each other when two lines cross "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.

Step-by-step explanation:

6 0

4 years ago

What is a equivalent ratio of 6/10

Mademuasel [1]

6/10 IS EQUIVALENT TO 3/5 BECUASE YOU NEED TO DIVIDE BY 2

4 0

4 years ago

What is the range of this function?

pantera1 [17]

The range is a set of elements from the second set.

Therefore your answer is: