All categories

3 years ago

If p is inversely proportional to the square of q and p is 3 when he was 12 determine p when q is equal to 3

Mathematics

1 answer:

weeeeeb [17]3 years ago

8 0

Answer:

p = 48

Step-by-step explanation:

If p is inversely proportional to the square of q

This is written Mathematically as:

p ∝ 1/q²

p = k × 1/q²

p = k/q²

Cross Multiply

k = pq²

k = Constant of Proportionality

Step 1

We find k

When p is 3 when q was 12

k = pq²

k = 3 × 12²

k = 432

Step 3

determine p when q is equal to 3

p = k/q²

p = 432/3²

p = 48

You might be interested in

A policyholder has probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims. C

Sladkaya [172]

Answer:

0.89.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;

(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."

(2). " distributed on the interval [0,60] and are independent."

(3). "The insurer covers 100% of each claim."

So, taking (1) above we will have;

(Total probability= 0.7 + 0.2 + 0.1 = 0.1)

A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.

0.8 + total probability = 0.8 + 0.1 = 0.9.

So, from the question, we are to "Calculate the probability that the total beneﬁt paid to the policyholder is 48 or less."

Hence, P< 48/A = P < 48/0.9 = P < 53.33.

Thus, 53.33/60 = 0.89.

6 0

3 years ago

What is the perimeter of triangle OJL

juin [17]

Answer:

infinity.............

3 0

3 years ago

What is 1.06 as a mixed number in simplest form?

Maru [420]

Okay so you have the question What is 1.06 as a mixed number in simplest form?
So, let us begin okay so 1.06 = 106/100 which then we will simplify to 53/50 and then you can simplify it one more time all the way down to it's simplest form of 1 3/50

Hope i helped
Cheers,
Belive1234

3 0

3 years ago

Read 2 more answers

The sequence {an} is defined by a0 = 1 and

zavuch27 [327]

The solution to the problem is as follows:

Just plug in the numbers and follow the pattern.

a0 = 1

a1 = 2*1 + 2 = 4

a2 = 2*4 +2 = 10

<span>a3 = 2*10 +2 = 22
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!

5 0

3 years ago

Read 2 more answers

A park ranger observed the number and ages of children who visited the park on a Friday morning. The results of his observations

aleksandr82 [10.1K]

ANSWER

The number of children between the ages of 9 and 15 who visited the park is
$20$

EXPLANATION

The number of children between the ages of 9 and 15 who visited the park are those within the age group 9 to 12 and 12 to 15.

We can from the graph that, the height of the bar that corresponds to the age group 9 to 12

$= 14$
and the height of the bar that corresponds to the age group 12 to 15

$= 6$

The sum of the two frequencies

$= 14 + 6 = 20$

8 0

3 years ago