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Andrew [12]
2 years ago
10

Find the value of the underlined digit in 16403

Mathematics
2 answers:
MissTica2 years ago
7 0
What digit Is underlined
11Alexandr11 [23.1K]2 years ago
7 0
What digit is underlined

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Suppose a normal distribution has a mean of 62 and a standard deviation of
Alekssandra [29.7K]

The probability that a data value is between 54 and 66 is 81.9%

z score is used to determine by how many standard deviations the raw score is above or below the mean.

The z score is given by:

z = \frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation

Given that μ = 62, σ = 4

For x = 54:

z=\frac{54-62}{4}=-2

For x = 66:

z=\frac{66-62}{4}=1

P(54 < x < 66) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 81.9%

The probability that a data value is between 54 and 66 is 81.9%

Find out more on z score at: brainly.com/question/25638875

3 0
2 years ago
Statistics - Please Help!!!<br> The question is in the screenshot.
arsen [322]

Answer: See the table below (attached image)

  • SSb = 2345
  • SSt = 5639
  • DFb = 5
  • DFw = 54
  • MSb = 469

=============================================================

Explanation:

I'll start at the right side of the table and work my way toward the left side.

I recommend you have a one way ANOVA formula sheet handy. Such a formula sheet should be located somewhere in the ANOVA chapter of your stats textbook, or toward the appendix section. There are various free online resources to search out as well.

On that formula sheet you should find that

(MSb)/(MSw) = F

where MSb and MSw are the mean squares between and within respectively.

We can find the value of MSb like so

(MSb)/(MSw) = F

MSb = F*MSw

MSb = 7.682*61

MSb = 468.602

This rounds to 469, so we'll go with MSb = 469. The reason I'm rounding is that I've done a similar problem in the past, and the computer system wanted me to round to the nearest whole number. Also, note how every value of the table given to us consists of whole numbers. Of course, your teacher may want you to keep the decimal value instead. So I would ask for clarification if possible.

Since we're going with MSb = 469, this means 469 goes in the last box of row 1.

-----------------------------------------------

Now go back to your reference sheet to locate this formula

MSw = (SSw)/(DFw)

Rearrange this formula to get

DFw = (SSw)/(MSw)

Now plug in the values we have from the table to find,

DFw = (SSw)/(MSw)

DFw = (3294)/(61)

DFw = 54  which goes in the box found in the second row.

-----------------------------------------------

Now recall that

DFb + DFw = df

where DFb is the degrees of freedom between and df is the total degrees of freedom, which in this case is 59.

Using the table and the value we found earlier, we can see that,

DFb = df - DFw

DFb = 59 - 54

DFb = 5   this goes in the second box of row one (ie above the 54).

-----------------------------------------------

Also on your formula sheet, you should see something like

MSb = (SSb)/(DFb)

where each lowercase 'b' stands for "between", and the other abbreviations are what were discussed earlier.

That formula rearranges into

SSb = (DFb)*(MSb)

Then we can use the values we calculated earlier to find

SSb = (DFb)*(MSb)

SSb = (5)*(469)

SSb = 2345  this goes in the first box of row one.

----------------------------------------------

Lastly, computing the total sum of squares (SSt) will simply involve us adding the two SSb and SSw values to get

SSt = SSb + SSw

SSt = 2345 + 3294

SSt = 5639 this goes in the box of row three.

----------------------------------------------

To summarize, we have these values to fill into the table

  • SSb = 2345
  • SSt = 5639
  • DFb = 5
  • DFw = 54
  • MSb = 469

where we have these abbreviations

  • SS = sum of squares
  • MS = mean square
  • DF = degrees of freedom
  • b = between
  • w = within

Check out the diagram below for the filled in values.

To summarize the formulas used, we basically have the template of

MS = (SS)/(DF)

for both between and within. And we also have the formula F = (MSb)/(MSw). So effectively, the values are found through various division formulas or rearrangements of such. I'm referring to working along any given row. For any given column, we add up the values to get the totals, though that of course does not apply to MS or F.

Admittedly, ANOVA tables and concepts can be confusing because there are a lot of variables and steps going on. But once you get used to it, it's not too bad if you can see how the patterns are emerging (the division and additions I was referring to earlier).

4 0
2 years ago
What is the decimal equivalent of the fraction -68 / 255
garri49 [273]

This is just a calculator problem.

+/- This will turn 68 into a minus when you enter it. On some calculators it is the (-) key.

68

÷

255

=

-0.266666666 is what you should get.


5 0
2 years ago
the price of a pair of shoes increases from $50 to $64. What is the percent increase. Please Help, god bless
Vera_Pavlovna [14]

Answer:

Step 1: Calculate the change by subtracting old cost ($50) from the new cost ($64)

Step 2: Divide that change by the old cost ($50).  You will get a decimal number

Step 3: Convert the decimal number to a percentage by multiplying by 100%

Step-by-step explanation:

Try this first

3 0
2 years ago
The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, a
Roman55 [17]

Answer:

64\ \text{sq. units}

Step-by-step explanation:

Area of a rhombus is the product of the length of the diagonals divided by two.

Length of one diagonal is 8 units and the other diagonal is 16 units

Area is given by

A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}

The area of the rhombus is 64\ \text{sq. units}

Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.

A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}

5 0
3 years ago
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