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ivolga24 [154]
3 years ago
9

Find the volume of a right circular cone that has a height of 20 ft and a base with a

Mathematics
1 answer:
maksim [4K]3 years ago
7 0
Your answer will be 1733.489333ft³
When rounding it will be
1733.1ft³
My rounding might be wrong
Hope it helps : )
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The dotplot shows the heights of 25 students in Mrs. Navard’s statistics class.
Zolol [24]

Answer:

A)Percentile for Lynette, the student who is 65 in. tall is 36th

B) Asher is 22 inches tall.

Step-by-step explanation:

Percentile : It is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations falls

A) Find the Percentile for Lynette, the student who is 65 in. tall.

No. of students below 65 inch =9

So, Percentage of data below 65 inch =\frac{9}{25} \times 100 = 36 \%

So, Percentile for Lynette, the student who is 65 in. tall is 36th

B)Ashers height is at the 88th percentile of the distribution. Interpret this value in context. How tall is Asher

88=\frac{x}{25} \times 100 \\\frac{2200}{100}=x

22=x

So, No. of students below or st 88th percentile = 22

So, Asher is 22 inches tall.

4 0
3 years ago
Find last year’s salary if after. 2% pay rate, this year’s salary is $35,700
sasho [114]
2% of 35700 = 714
So you take 35700 and subtract the raise, 714 which is 34986

8 0
3 years ago
There are 5 lead male roles and 4 lead female roles. If you must seat the male leads together, the female leads together, the 3
tiny-mole [99]

Answer:

24, 414,720 or 5,391,360 depending on the level of precision you (or your teacher) want. :-)

Step-by-step explanation:

The best way to approach this problem is to do it in two phases.  First, consider the groups (and the top level permutations), then you consider the individuals (within the groups).  There's even a third level to consider, the starting position around the table.

Before going into the solution, let's do a little warm-up using the producers group of 3.  Since we talk about arranging the 13 people at the table (and not just the groups), the order of the individuals within a group is also important.  Just looking at the producers, how many ways can we sit them (among themselves)?  6 ways: {a,b,c} {a,c,b} {b,a,c} {b,c,a} {c,a,b} {c,b,a}

That is governed by the following formula, since we are taking ALL the possible elements (unlike a lottery draw for example): P(n) = n!

This solution, we'll need the following grouping possibilities:

P(1) = 1, P(3) = 6, P(4) = 24 and P(5)=120

Real solution starts here

First level

First, we have to see how many arrangements are possible based on the groups...how many ways can we sit the actors, the actresses, the producers and the director as groups?  There are 4 groups to consider, so the result for the groups arrangements is P(4) = 24 ways.

Second level

Now, for each of those 24 ways to arrange the groups, so they are sat together around the table) we also have to take into account the internal arrangements within each group... because as we've seen, there are 6 ways to sit the producers.

So, for the producers, we have P(3) = 6 as we've seen

For the actresses, we have P(4) = 24

For the actors, we have P(5) = 120

For the director group, we have P(1) = 1

So, for each of the 24 ways to arrange the sequence of groups, we also have 17,280 (6 * 24 * 120 * 1) ways to arrange people within the groups.

That makes a total of 24 * 17,280 = 414 720 ways to arrange the people around the table.... not taking into account the seat number.

Third level

If you want to take into account the fact that one of the 414 720 arrangements is different if the first person sits on the chair #1 than if it sits on chair #2 and so on... then we have to multiply these 414 720 arrangements by 13 to represent the various possible starting point for the arrangement.  For a grand total of 5 391 360

So, the answer is your choice, 24, 414,720 or 5,391,360 depending on the level of precision you (or your teacher) want. :-)

4 0
3 years ago
Read 2 more answers
What must be added to<br>2x² - 3 xy + 5yz to get x² - xy + y²​
Artyom0805 [142]

Answer:

  • -x² + y² + 2xy - 5yz

Step-by-step explanation:

"A" must be added to  first expression to get the second one:

  • A + 2x² - 3 xy + 5yz =  x² - xy + y²​
  • A = ?

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

  • A = x² - xy + y²​ - (2x² - 3 xy + 5yz) =
  • x² - xy + y²​ - 2x² + 3 xy - 5yz=
  • -x² + y² + 2xy - 5yz
4 0
3 years ago
4(b+1) ≤ 2(2b+1)+1<br> Is this equation no solution?<br> Very important
Dvinal [7]

Answer:

it does not have a solution

Step-by-step explanation:

4(b + 1) ≤ 2(2b + 1)+1

4b + 4 ≤ 4b + 2 + 1

0 ≤ -1

0 isn't less than or equal to -1

3 0
3 years ago
Read 2 more answers
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