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Olin [163]
2 years ago
10

Bryan is asked to find the interquartile range for the data set {5,6,6,8,10,11,14,16,17}. His work follows.

Mathematics
1 answer:
a_sh-v [17]2 years ago
4 0

Answer:

D

Step-by-step explanation:

Step C quartile 3 should be 14 because 15 is not even a number in the data set

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Wanahton purified a portion of water with 900 grams of contaminants. Each hour, a third of the contaminants was filtered out.
Ray Of Light [21]

Answer:

B. Geometric sequence.

g(n)=900\cdot (\frac{2}{3})^{n-1}

Step-by-step explanation:

We have been given that Wanahton purified a portion of water with 900 grams of contaminants. Each hour, a third of the contaminants was filtered out.

The amount of contaminants remaining after each hour would be 2/3 of the previous hour amount as 1/3 of contaminants was filtered.

Since amount is not constant, therefore, the sequence would be geometric.

We know that explicit formula for geometric sequence is in form a(n)=a\cdot r^{n-1}, where,

a = First term,

r = Common ratio.

For our given scenario a=900 and r=\frac{2}{3}, so our required formula would be:

g(n)=900\cdot (\frac{2}{3})^{n-1}

Therefore, an explicit formula for the given geometric sequence would be g(n)=900\cdot (\frac{2}{3})^{n-1}.

8 0
2 years ago
$36 for 4 baseball hats; $56 for 7 baseball hats are they equivalent
Arlecino [84]
36/4 = 9 per hat
56/7 = 8 per hat

no, they are not equivalent
5 0
2 years ago
Rewrite the expression using Distributive Property, then simplify<br><br> -1(x-9)+4x
pentagon [3]
First ask yourselfhat needs to be dristributed.
That would be -1 (x-9)
To distribute you have to multiply the number out side of the parentheses (-1) by each term inside the parentheses( x and -9)
-1×x=-x
-1×-9=9
Now the expression is
-x+9+4x
To simplify you have to combine like terms (4x and-x)
4x-x=3x
Your answer is 9+3x or 3(3+x).
5 0
2 years ago
Given: BC bisects DBE. Prove: ABD is congruent to ABE
Arada [10]

Answer:

See below

Step-by-step explanation:

BC bisects <DBE and if AC is a straight line then you have that:

<ABD + <DBC = 180 (straight angle because of line AC)

<ABE + <CBE = 180 ( straight angle because of line AC)

Because BC bisects <DBE =>   < DBC = <CBE

So <ABD and <ABE must be the same to both sum 180 when added < DBC

7 0
2 years ago
You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. Remember, Area = Length × Width. If ea
pochemuha

Answer:

402.9 $

Step-by-step explanation:

first you must turn foot into yards "every 3 foot = 1 yard"

3.33 , 4

then we will use the area=length x width formula

3.33 x 4 = 13.32 square yards

the cost of the carpet is

13.32 x 30.25 = 402.9$

4 0
2 years ago
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