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Anton [14]
3 years ago
5

An angle measures 38° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics
1 answer:
seropon [69]3 years ago
6 0
Answer: 38° and 52°

Steps:
x + 38° = 90°
x = 90° - 38°
x = 52°

90° - 52° = 38°
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medical tests. Task Compute the requested probabilities using the contingency table. A group of 7500 individuals take part in a
uysha [10]

Probabilities are used to determine the chances of an event

  • The probability that a person is sick is: 0.008
  • The probability that a test is positive, given that the person is sick is 0.9833
  • The probability that a test is negative, given that the person is not sick is: 0.9899
  • The probability that a person is sick, given that the test is positive is: 0.4403
  • The probability that a person is not sick, given that the test is negative is: 0.9998
  • A 99% accurate test is a correct test

<u />

<u>(a) Probability that a person is sick</u>

From the table, we have:

\mathbf{Sick = 59+1 = 60}

So, the probability that a person is sick is:

\mathbf{Pr = \frac{Sick}{Total}}

This gives

\mathbf{Pr = \frac{60}{7500}}

\mathbf{Pr = 0.008}

The probability that a person is sick is: 0.008

<u>(b) Probability that a test is positive, given that the person is sick</u>

From the table, we have:

\mathbf{Positive\ and\ Sick=59}

So, the probability that a test is positive, given that the person is sick is:

\mathbf{Pr = \frac{Positive\ and\ Sick}{Sick}}

This gives

\mathbf{Pr = \frac{59}{60}}

\mathbf{Pr = 0.9833}

The probability that a test is positive, given that the person is sick is 0.9833

<u>(c) Probability that a test is negative, given that the person is not sick</u>

From the table, we have:

\mathbf{Negative\ and\ Not\ Sick=7365}

\mathbf{Not\ Sick = 75 + 7365 = 7440}

So, the probability that a test is negative, given that the person is not sick is:

\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Not\ Sick}}

This gives

\mathbf{Pr = \frac{7365}{7440}}

\mathbf{Pr = 0.9899}

The probability that a test is negative, given that the person is not sick is: 0.9899

<u>(d) Probability that a person is sick, given that the test is positive</u>

From the table, we have:

\mathbf{Positive\ and\ Sick=59}

\mathbf{Positive=59 + 75 = 134}

So, the probability that a person is sick, given that the test is positive is:

\mathbf{Pr = \frac{Positive\ and\ Sick}{Positive}}

This gives

\mathbf{Pr = \frac{59}{134}}

\mathbf{Pr = 0.4403}

The probability that a person is sick, given that the test is positive is: 0.4403

<u>(e) Probability that a person is not sick, given that the test is negative</u>

From the table, we have:

\mathbf{Negative\ and\ Not\ Sick=7365}

\mathbf{Negative = 1+ 7365 = 7366}

So, the probability that a person is not sick, given that the test is negative is:

\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Negative}}

This gives

\mathbf{Pr = \frac{7365}{7366}}

\mathbf{Pr = 0.9998}

The probability that a person is not sick, given that the test is negative is: 0.9998

<u>(f) When a test is 99% accurate</u>

The accuracy of test is the measure of its sensitivity, prevalence and specificity.

So, when a test is said to be 99% accurate, it means that the test is correct, and the result is usable; irrespective of whether the result is positive or negative.

Read more about probabilities at:

brainly.com/question/11234923

4 0
3 years ago
M&lt;N = (5x) and m &lt;l=(x+20). What is the value of X?
Lena [83]

Answer:

<em>x = 5</em>

Step-by-step explanation:

The figure shows two pairs of opposite sides parallel, so quadrilateral KLMN is a parallelogram. Angles N and L are opposite angles in a parallelogram, so their measures are equal.

m<N = m<L

5x = x + 20

4x = 20

x = 5

7 0
3 years ago
Based on these equations, which one represents the greatest rate?
Firdavs [7]

For the 1st one its...

y = 7x + 5.

For the 2nd one its...

Choice C: 32

For the 3rd its...

Choice A: 3/4

3 0
3 years ago
PLZ Help<br> Will mark brainliest and give 100 points<br> its a long one so dm me abt 50 more!
Karo-lina-s [1.5K]

Answer:

yes check and click your profile

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Kyle buys 3 bags of Takis at the store. He pays $4.50 to the cashier. How much does each bag of Takis cost?
trapecia [35]

Answer:

1.50$

Step-by-step explanation:

4.50/3= 1.50

Hope this helps.

8 0
3 years ago
Read 2 more answers
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