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densk [106]
3 years ago
12

If p is inversely proportional to the square of q, and p is 16 when q is 11, determine p

Mathematics
2 answers:
user100 [1]3 years ago
8 0

Answer:

p= 121

Step-by-step explanation:

p\alpha \frac{1}{q^{2} }

p=k/q^{2}

k=pq^{2}

Get the value of your constant k

k=(16)(11^{2})

k= 1936

p= \frac{1936}{q^{2} }

When q=4

p=  \frac{1936}{4^{2} }

p= 121

Blizzard [7]3 years ago
5 0

Answer:

p = 121

Step-by-step explanation:

inveresly proportional

pq² = k

find k the constant of proportionality

p is 16 when q is 11,

16 * 11² = k

k = 1,936

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

pq² = 1,936

determine p when q is equal to 4.

p * 4² = 1,936

16p = 1,936

p = 1,936/16

p = 121

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If the police have 9 suspects how many different ways can they select 5 for a lineup
kow [346]
Assuming the order does not matter, you want the number of combinations of 9 things taken 5 at a time.  The combinations can be shown as C(9,5), 9C5.

C(9, 5) =
9/5(9-5) = 
9*8*7*6*5 / 5*4 

The 5 terms cancel. 

9*8*7*6 / 4*3*2 = 
9*7*2 = 
126

The above change is because 4*2 cancels the 8 in the numerator and 6/3 = 2
Therefore, the solution is 126. 
4 0
3 years ago
Let R be the event that a randomly chosen person lives in the city of Raleigh. Let O be the event that a randomly chosen person
Anit [1.1K]

Answer:

P(O|R)

Step-by-step explanation:

The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).

The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.

In the question,

Event R = Person lives in the city of Raleigh

Event O = Person is over 50 years old

The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).

Hence, this statement can be given in conditional probability notation as

P(O|R)

7 0
3 years ago
Is there a formula for problems like these? How do I even begin to solve it?
Pachacha [2.7K]
Well, they're saying 9 with an exponet of 2 multiplied by something equals 27..... Hmmm.....
5 0
3 years ago
I HAVE 5 MIN TO TURN THIS IN!!!! PLEASE HELP ME!!!<br> IT'S IN THE IMAGE BELOW
Mariulka [41]

Answer:

<h3>a.  x = 8 years</h3><h3>b.  52,000</h3><h3 />

Step-by-step explanation:

company A = 28,000 + 3,000 (x)

company B = 36,000 + 2,000 (x)

where x = no. of years.

  • <u>company A = company B</u>

28,000 + 3,000 (x) = 36,000 + 2000 (x)

3,000 (x) - 2,000 (x) = 36,000 - 28,000

1,000 (x) = 8,000

x = <u>8,000</u>

     1,000

<h3>x = 8 years</h3>

  • plugin value of x = 8 into company A and B

company A = 28,000 + 3,000 (8)

<h3>company A = 52,000</h3>

company B = 36,000 + 2,000 (8)

<h3>company B = 52,000</h3>
5 0
3 years ago
Anyone know how to do this
trasher [3.6K]

Answer:

Its probably 6.4 I dont know if I'm correct because I forget stuff

6 0
3 years ago
Read 2 more answers
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