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serg [7]
3 years ago
15

A new medical test has been designed to detect the presence of the mysterious brainlesserian disease. among those who have the d

isease, the probability that the disease will be detected by the new test is 0.9. however, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.06. it is estimated that 18 % of the population who take this test have the disease. if the test administered to an individual is positive, what is the probability that the person actually has the disease?
Mathematics
1 answer:
Mumz [18]3 years ago
8 0
Introduce the following notations of events:
A "The person has the disease"
B "The test is positive", C "the test is erroneous"
Our formula will be then:
P(A)=P(A!B)P(B)+P(A!C)P(C)\\\text{Using the given value we get the formula:}\\0.18=P(A!B)0.9+0.06\times0.1\\\text{Solving the above equation for P(A!B) we get:}\\P(AB):0.19
So the probability we are looking for is 0.19
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Claire is buying a new bicycle for 295 if the sales tax is 4.75% what will she pay in this total
yawa3891 [41]

Answer:

the answer 14.0125. rounded = 14

Step-by-step explanation:

convert the percentage to a decimal

4.75% --> move two decimal places --> 0.0475

multiply 295*0.0475

= 14.0125

6 0
3 years ago
Find the sum.172 + (–167) + (–10) + (–144)
Ne4ueva [31]
The answer is negative 149
3 0
3 years ago
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Write the numbers in order from least to greatest. 8/10, -.82, 2.5, -9.5
Art [367]

Answer: -9.5, -.82, 8/10, 2.5

Step-by-step explanation:

-9.5 is the least because the bigger the negative number is the smaller it's value is (opposite of positive numbers)

-.82 same thing

8/10 or .8

2.5 same thing as 2.50 so what is greater $2.50 or $0.80 exactly 2.50 is greater so it's the greatest

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3 years ago
(02.05 MC) A dance school has 63 ballet dancers. If 42% of the total number of dancers in the school are ballet dancers, what is
Elena L [17]

Alright, lets get started.

Suppose total number of dancers in school = x

We have given in question, 42 % of total dancers are ballet dancers.

So, we could find number of ballet dancers by finding 42 % of total dancers.

Number of ballet dancers = x * 42 %

Number of ballet dancers = x * 42/100 = 0.42 x

As per given in question, there are 63 ballet dancers in school.

Which means 0.42 x = 63

Dividing 0.42 from both sides

0.42 x / 0.42 = 63 / 0.42

x = 150

Hence number of total dancers in school = 150 : Answer

Hope it will help :)

4 0
3 years ago
Find the value of X so that this quadrilateral is a parallelogram. Then substitute the value of X and using the parallelogram an
Bogdan [553]

Answer:

x = 36

m/A = 132

m/B = 48

m/C = 48

m/D = 132

4 0
3 years ago
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