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2 years ago

If q is directly proportional to (p-1)^2 and q=20 when p=3,find the values of p when q=80

Mathematics

1 answer:

Nastasia [14]2 years ago

7 0

Answer:

p = 17 and -15

Step-by-step explanation:

If q is directly proportional to (p-1)², this can be written as;

q = k(p-1)²

If q = 20 when p = 3

20 = k(3-1)²

20 = 2²k

20 = 4k

k = 5

To get p wen q = 80

80 = 5(p-1)²

16 = (p-1)²

p-1 = ±√16

p-1 = 16 and p-1 = -16

p = 17 and p=-16+1

p = 17 and -15

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3 years ago

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3 years ago

Seven different names were put into a hat. A name chosen 100 times. And the name Michael is chosen 9 times. What is experimental

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Step-by-step explanation:

The experimental probability of an event is written as :

P = number of times event occur / total number of trials

Experimental probability is based on the outcome of an experiment that has taken place.

Theoretical probability is based on expected outcome of an event.

P = number of expected or required outcomes / total possible outcomes

Experimental probability of choosing the name Michael is :

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If the number of names in hat was different from 7, then the theoretical probability will change.

Also, if the number of times a name was chosen was different from 100, then number of trials will also change and hence, the experimental probability.

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2 years ago

The variable z is inversely proportional to x. When x is 16, z has the value 0.875. What is the value of z when x= 21?

ziro4ka [17]

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3 years ago

If q is directly proportional to (p-1)^2 and q=20 when p=3,find the values of p when q=80​

If q is directly proportional to (p-1)^2 and q=20 when p=3,find the values of p when q=80