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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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2) Write the equation of a line lin point-slope form) with a slope of -2 passing through the
shepuryov [24]

Answer:

y+4=-2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-4)

y+4=-2(x-4)

8 0
3 years ago
Express the given linear equation in slope intercept form and identify the slope and y- intercept of -2x+7y=28
AlekseyPX
Slope-intercpet is y=mx+b where m=slope
b=y intercept
convert
-2x+7y=28
add 2x to both sides
7y=2x+28
divide both sides by 7
y=2/7x+4
slope=2/7
y-intercept=4 or the point (0,4)
4 0
3 years ago
Help on number 8 please!
solmaris [256]

Answer:

ab/3

Step-by-step explanation:

I don't really know how to explain.

Μα†hway

hope this helps!

5 0
2 years ago
Read 2 more answers
Calculate the taxes based on the following taxable income amounts
Bingel [31]
1.) Taxable income is 22,764.42 (income 90,714 less range which is more than 87,850 but less than 183,250 = 2,864 multiply to its corresponding tax rate of 28% = 801.92 plus its corresponding amount of 21,962.50 = 22,764.42)

2.) Taxable income is 12,140.75

3.) Taxable income is 63,634.18

4.) Taxable income is 44,097.62

5.) Taxable income is 63,691.60

6.) Taxable income is 24,598.98

7.) Taxable income is 59,234.62

8.) Taxable income is 171,662.58

9.) Taxable income is 184,033.22

10.) Taxable income is 183,997.18

11.) Taxable income is 61,067.11

12.) Taxable income is 153,877.82

13.) Taxable income is 241,356.99

14.) Taxable income is <span>274,376.26
</span>
15.) Taxable income is 97,208.05

Note: Use the "from" amount as the basis, so if the income is 10,000 then you'll deduct 8,925 (basis) from 10,000 (since 10,000 is more than 8,925 but less than 36,250)

4 0
3 years ago
25. Tiffany deposited two checks into her account this month. One check was for $70 and the second was for $25. Her balance at t
Anna35 [415]

The first thing to do is to start with something not quite so

complicated, so you can get used to the ideas first.  But let's go

ahead with this one, to check your work.

Here's one way I write these to demonstrate how to think it through:

 (18/2){[(9 x 9 - 1)/ 2]-[5 x 20 - (7 x 9 - 2)]}

 \____/  \_________/               \_________/

    9  {[    80     / 2]-[5 x 20 -     61     ]}

        \______________/ \____________________/

    9  {       40       -           39         }

       \_______________________________________/

    9 *                  1

    \____________________/

               9

So you're correct, and your work was fine.  The only thing I did

differently was to evaluate 18/2 earlier, because nothing stood in its

way; I could have waited as you did.

What parentheses do is to contain a subexpression that has to be fully

evaluated before it can be used in any containing expression.  That's

why you work from the inside out: you can't use what's inside until

you evaluate it all, so you might as well start there.  But if you

forgot to, you'd still have a reminder.  Here's an example:

 2[(3 + 7)(3 - 2) - 3(2 + 2)]

If I didn't bother with the inside-out "rule", I  might just start

trying to evaluate at the left (paying attention to the order of

operations, of course): 2 times ... what?  Well, the second number in

that multiplication is the whole thing inside [...], so I have to put

it on hold until I do that.  So I focus on

 (3 + 7)(3 - 2) - 3(2 + 2)

Now I start that.  The first piece is (3 + 7), so I evaluate that

whole thing and get 10.  Now I have to multiply it by (3 - 2), so I

stop and evaluate that, which gives 1.  Now I can multiply 10 by 1 and

get 10.  So I keep going; I have to subtract something from that, but

since the next bit is a product, I have to do that first.  I'll have 3

times the next parenthesis; that's 3 times 4, so I have 12.  The

subtraction I put off is 10 - 12 = -2.

Now, this is what the whole [...] is, so I go back and do that last

multiplication:

 2*(-2) = -4


7 0
3 years ago
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