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3 years ago

If the ratio of two numbers is 5:2, what is the ratio of their sum to their difference?

Mathematics

1 answer:

Kipish [7]3 years ago

8 0

Answer:

7/3

Step-by-step explanation:

Let the two numbers be x and y which are relatively prime to each other.

a/b = 5/2

So you want the ratio of

(a + b) / (a - b)

Take out a common factor of b
numerator: b(a/b + 1)
denominator: b(a/b - 1)
Put them together
The b's cancel out
(a/b + 1) / (a/b - 1)
but a/b = 5/2
(5/2 + 1) / (5/2 - 1)
Numerator: (5/2 + 2/2) = 7/2
Denominator: 5/2 - 2/2 = 3/2
numerator over denominator = 7/2 // 3/2 = 7/2 * 2/3 = 7/3

Answer: 7/3

Nice problem: Thanks for posting.

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Suppose a particular type of cancer has a 0.9% incidence rate. Let D be the event that a person has this type of cancer, therefo

natita [175]

Answer:

There is a 12.13% probability that the person actually does have cancer.

Step-by-step explanation:

We have these following probabilities.

A 0.9% probability of a person having cancer

A 99.1% probability of a person not having cancer.

If a person has cancer, she has a 91% probability of being diagnosticated.

If a person does not have cancer, she has a 6% probability of being diagnosticated.

The question can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem we have the following question

What is the probability that the person has cancer, given that she was diagnosticated?

P(B) is the probability of the person having cancer, so $P(B) = 0.009$

P(A/B) is the probability that the person being diagnosticated, given that she has cancer. So $P(A/B) = 0.91$

P(A) is the probability of the person being diagnosticated. If she has cancer, there is a 91% probability that she was diagnosticard. There is also a 6% probability of a person without cancer being diagnosticated. So

$P(A) = 0.009*0.91 + 0.06*0.991 = 0.06765$

What is the probability that the person actually does have cancer?

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.91*0.009}{0.0675} = 0.1213$

There is a 12.13% probability that the person actually does have cancer.

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3 years ago

Order these numbers from least to greatest. 2 12/5 2.47 square root of 3

Arturiano [62]

Answer:

square root, 2,12/5,2.47

Step-by-step explanation:

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3 years ago

Can the side lengths of 8, 9, and 12 form a triangle?

Rama09 [41]

Answer:

Step-by-step explanation:

The formula you could do to check would be 8^2+9^2=12^2.

In this instance, 8^2 + 9^2 = 145 but 12^2 equals 144

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3 years ago

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A student earns scores of 80, 87, and 82 on the first three of four tests. If the student wants to achieve a quiz average of 85,

aleksandrvk [35]

Answer:

Step-by-step explanation:

85= $\frac{80+87+82+x}{4}$ then multiply the 4 over and subtract 80, 87, and 82 to find x which gives you 91

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3 years ago

Give an example of: degree of a polynomial is the highest sum of one of its terms, explain.

yuradex [85]

Example 1 Perform the indicated operation for each of the following.

(a) Add to

(b) Subtract

Solution

(a) Add to .

The first thing that we should do is actually write down the operation that we are being asked to do.

In this case the parenthesis are not required since we are adding the two polynomials. They are there simply to make clear the operation that we are performing. To add two polynomials all that we do is combine like terms. This means that for each term with the same exponent we will add or subtract the coefficient of that term.

In this case this is,

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(b) Subtract from .

Again, let’s write down the operation we are doing here. We will also need to be very careful with the order that we write things down in. Here is the operation

TAZZ WAZ HEA :)

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3 years ago