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3 years ago

Which multiplication expression can be used to check this division problem:

Mathematics

2 answers:

borishaifa [10]3 years ago

6 0

Answer:

° 3/2 × 4/15

Step-by-step explanation:

for checking a division problem use the product and one of the fractions to multiply. if the answer matches the other fraction then your division is correct.

SashulF [63]3 years ago

4 0

2/5 x 4/15 = 8/75 or 0.106
3/2 x 4/15 = 2/5 or 0.4
3/2 x 15/4 = 45/8 or 5 5/8, 5.625
5/2 x 15/4 = 75/8 or 9 3/8, 9.375

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Subtract the rational expression

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2 years ago

A new test to detect TB has been designed. It is estimated that 88% of people taking this test have the disease. The test detect

Elodia [21]

Answer:

Correct option: (a) 0.1452

Step-by-step explanation:

The new test designed for detecting TB is being analysed.

Denote the events as follows:

<em>D</em> = a person has the disease

<em>X</em> = the test is positive.

The information provided is:

$P(D)=0.88\\P(X|D)=0.97\\P(X^{c}|D^{c})=0.99$

Compute the probability that a person does not have the disease as follows:

$P(D^{c})=1-P(D)=1-0.88=0.12$

The probability of a person not having the disease is 0.12.

Compute the probability that a randomly selected person is tested negative but does have the disease as follows:

$P(X^{c}\cap D)=P(X^{c}|D)P(D)\\=[1-P(X|D)]\times P(D)\\=[1-0.97]\times 0.88\\=0.03\times 0.88\\=0.0264$

Compute the probability that a randomly selected person is tested negative but does not have the disease as follows:

$P(X^{c}\cap D^{c})=P(X^{c}|D^{c})P(D^{c})\\=[1-P(X|D)]\times{1- P(D)]\\=0.99\times 0.12\\=0.1188$

Compute the probability that a randomly selected person is tested negative as follows:

$P(X^{c})=P(X^{c}\cap D)+P(X^{c}\cap D^{c})$

$=0.0264+0.1188\\=0.1452$

Thus, the probability of the test indicating that the person does not have the disease is 0.1452.

4 0

3 years ago

Two less than 3/2 of a number (x) is more than 5 1/2

djverab [1.8K]

<h2>Answer: (3/2)x - 2</h2>

Step-by-step explanation:

Let the number be x.

"Two less than 3/2 of a number (x)" means (3/2)x - 2

"is no more than" means "≤"

5 1/2

* Hopefully this helps:) Mark me the brainliest:)!!!

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3 years ago