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Nastasia [14]
3 years ago
11

I’ve been having trouble with PEMDAS and exponents for a while. Could someone walk me through how to do this so maybe I can appl

y it to the rest of my homework? Thanks

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
5 0

Answer:

98.

Step-by-step explanation:

  • Parenthesis
  • Exponents
  • Multiplication
  • Division
  • Addition
  • Subtraction

You have to do it in order so you can get the correct answer. Do the problem in the parenthesis first. 6 ÷ 3 = 2.

It should look like this:

7² x 2.

Then, do your exponents. 7² is just basically 7 x 7. It equals 49.

Now, it should look like this:

49 x 2. Multiply 49 x 2, and your answer should be 98.

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The area of a regular octagon is 25 cm2. What is the area of a regular octagon with sides four times as large?
Scorpion4ik [409]
Regular polygon area = n*side^2 / (4 * tan (180/n))
where "n" is number of sides
The formula is dependent on the side^2 term,
So, if we have an octagon that has sides 4 times as large, that means the area will be sixteen times larger.
side^2 = 4^2 = 16
So we multiply 25 cm^2 by 16 and we get
400 square centimeters.

Source:
http://www.1728.org/polygon.htm


5 0
3 years ago
The physical plant at the main campus of a large state university recieves daily requests to replace fluorescent lightbulbs. The
Bond [772]

Answer:

34% of lightbulb replacement requests numbering between 47 and 52

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 52

Standard deviation = 5

Between 47 and 52:

52 is the mean and 47 is one standard deviation below the mean.

By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean.

Since the normal distribution is symmetric, of those, 34% are within 1 standard deviation below the mean and the mean(47 and 52) and 34% are within the mean and one standard deviation above the mean(52 and 57).

So

34% of lightbulb replacement requests numbering between 47 and 52

3 0
3 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
3 years ago
What is the value of c?
BaLLatris [955]

Answer:

The value of C is 3

Step-by-step explanation:

all of the angles of a triangle add up to 180°. first you would add 92 and 46 and get 138. You then subtract 180 and 138 and get 42. then you divide 42 by 14 and get 3. then substitute 3 back into the equation and you get 180.

8 0
3 years ago
Can someone help me please with 9 and 7 !!!!
klemol [59]
Do you still need an answer?
5 0
3 years ago
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