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storchak [24]
3 years ago
8

Express 30.5 as a fraction in simplest form

Mathematics
1 answer:
Dima020 [189]3 years ago
8 0
Does 61/2 make sense?
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A certain disease has an incidence rate of 0.1%. If the false negative rate is 8%
defon

Answer: 0.31 or 31%

Let A be the event that the disease is present in a particular person

Let B be the event that a person tests positive for the disease

The problem asks to find P(A|B), where

P(A|B) = P(B|A)*P(A) / P(B) = (P(B|A)*P(A)) / (P(B|A)*P(A) + P(B|~A)*P(~A))

In other words, the problem asks for the probability that a positive test result will be a true positive.  

P(B|A) = 1-0.02 = 0.98 (person tests positive given that they have the disease)

P(A) = 0.009 (probability the disease is present in any particular person)

P(B|~A) = 0.02 (probability a person tests positive given they do not have the disease)

P(~A) = 1-0.009 = 0.991 (probability a particular person does not have the disease)

P(A|B) = (0.98*0.009) / (0.98*0.009 + 0.02*0.991)

= 0.00882 / 0.02864 = 0.30796

*round however you need to but i am leaving it at 0.31 or 31%*

If you found this helpful please mark brainliest

3 0
3 years ago
Brooke is flying a kite while standing 50 m from the base of a tree at the park. Her Chi is directly above the 10 m tree in the
Gelneren [198K]

Answer:

104.127 m

Step-by-step explanation

In the question instead of chi, it would be kite.

Given: Distance of Brooke from the base of tree is 50 meters.

The kite is directly above the 10 m tree in the 125 m string is fully extended.

Lets assume the height of the kite be "x".

Its making the Right angle triangle with length of string as hypotenuse, height of kite above tree.

Using Pythagorean formula:

h²= a²+b²

⇒125^{2} = 50^{2} + (x)^{2}

⇒15625 = 2500+ (x)^{2}

⇒ 15625 = 2500+ x^{2}

Subtracting both side by 2500

⇒ 13025 = x^{2}

Square rooting both side, we know√a²=a

⇒ \sqrt{13025} =x

∴ x= 114.127 meter.

Next, we know the value of x include the height of tree.

∴ Height of kite flying above tree= x-10\ m

⇒ Height of kite flying above tree= 114.127-10= 104.127\ m

Hence, the height of kite above the tree is 104.127 meters.

3 0
3 years ago
Whats the answer ? evaluate 7^3 - 25
gladu [14]

Answer: 318

Step-by-step explanation:

7 to the 3rd power is 343, 343 minus 25 is 318

3 0
3 years ago
Read 2 more answers
(200 x 3) + (50 x 3)
m_a_m_a [10]

<em><u>200x3=600</u></em>

<em><u>50x3=150</u></em>

<em><u></u></em>

<em><u></u></em>

<em><u>600+150=750</u></em>

<em><u></u></em>

<em><u>750</u></em>

6 0
3 years ago
Read 2 more answers
Answer these true or false questions:
stepan [7]
Sometimes it helps to put a number line in front of you. If one number is to the left of the other number on the number line, it's a lower number. If one number is to the right of the other number on the number line, it is greater.

-5 -4 -3 -2 -1 0 1 2 3 4 5

4 is a solution of x<-5
FALSE: 4 is not greater than -5


-3 is a solution of y>-2
FALSE: -3 is not greater than -2


y≤3 includes 3 as a possible solution
TRUE: 3 is less than OR EQUAL to 3


Hope this helps! :)
4 0
3 years ago
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