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2 years ago

Using the following table determine the probability a person tests positive who does not actually have Tuberculosis.

Mathematics

2 answers:

Afina-wow [57]2 years ago

5 0

The probability a person tests positive who does not actually have Tuberculosis is 1/100

<h3>How to determine the probability a person tests positive who does not actually have Tuberculosis?</h3>

The probability is given as:

The probability a person tests positive who does not actually have Tuberculosis.

This is a conditional probability, and it can be calculated using

P = n(Tests positive | Does not have Tuberculosis)/n(Does not have Tuberculosis)

Using the given table of values, we have:

P = 98/9800

Evaluate the quotient

P = 1/100

Hence, the probability a person tests positive who does not actually have Tuberculosis is 1/100

Read more about probability at:

brainly.com/question/25870256

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Lady bird [3.3K]2 years ago

3 0

Using it's concept, the probability a person tests positive who does not actually have Tuberculosis is:

c. 49/148.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 198 + 98 = 296 people who test positive, which is the number of total outcomes, and of those, 98 do not have the disease, which is the number of desired outcomes. Hence the probability is given by:

p = 98/296 = 49/148.

Which means that option c is correct.

More can be learned about probabilities at brainly.com/question/14398287

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How to find compound rate from given values, 10 years after, and initial

dybincka [34]

The formula that calculates the compound rate from the given values is $r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})$

<h3>How to determine the compound interest rate?</h3>

The compound interest formula is:

$I = P(1 + \frac rn)^{nt} - P$

Where:

P represents the principal amount
r represents the compound interest rate
n represents the number of times the interest is compounded
t represents the time in years
I represents the interest

We start by adding P to both sides

$P + I = P(1 + \frac rn)^{nt}$

Divide through by P

$\frac{P + I}{P} = (1 + \frac rn)^{nt}$

Take the nt-th root of both sides

$\sqrt[nt]{\frac{P + I}{P}} = 1 + \frac rn$

Subtract 1 from both sides

$-1 + \sqrt[nt]{\frac{P + I}{P}} = \frac rn$

Multiply through by n

$r = n(-1 + \sqrt[nt]{\frac{P + I}{P}})$

In this case, t = 10

So, we have:

$r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})$

Hence, the formula that calculates the compound rate is $r = n(-1 + \sqrt[10n]{\frac{P + I}{P}})$

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hram777 [196]

Answer: C
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