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Lynna [10]
3 years ago
10

If FG = 10, GH = 7x, and FH = 9x, what is FH? F 10 G H 9x

Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer: FH is 9x, given in the question

It's 45 if you solve for x and plug in x=5

Step-by-step explanation:

FG+GH =FH

10+7x= 9x

10=2x

x=5

FG+GH=FH

10 +7(5) = 9(5)

10 + 35 =45

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What is the probability that a random person who tests positive for a certain blood disease actually has the disease, if we know
xeze [42]

Answer:

Step-by-step explanation:

Hello!

Any medical test used to detect certain sicknesses have several probabilities associated with their results.

Positive (test is +) ⇒ P(+)

True positive (test is + and the patient is sick) ⇒ P(+ ∩ S)

False-positive (test is + but the patient is healthy) ⇒P(+ ∩ H)

Negative (test is -) ⇒ P(-)

True negative (test is - and the patient is healthy) ⇒ P(- ∩ H)

False-negative (test is - but the patient is sick) ⇒ P(- ∩ S)

The sensibility of the test is defined as the capacity of the test to detect the sickness in sick patients (true  positive rate).

⇒ P(+/S) =<u> P(+ ∩ S)  </u>

                    P(S)

The specificity of the test is the capacity of the test to have a negative result when the patients are truly  healthy (true negative rate)

⇒ P(-/H) =<u> P(- ∩ H)  </u>

                   P(H)

For this particular blood disease the following probabilities are known:

1% of the population has the disease: P(S)= 0.01

95% of those who are sick, test positive for it: P(+/S)= 0.95 (sensibility of the test)

2% of those who don't have the disease, test positive for it: P(+/H)= 0.02

The probability of a person having the blood sickness given that the test was positive is:

P(S/+)= <u> P(+ ∩ S)  </u>

                P(+)

The first step you need to calculate the intersection between both events + and S, for that you will use the information about the sickness prevalence in the population and the sensibility of the test:

P(+/S) =<u> P(+ ∩ S) </u>

                 P(S)

P(+/S)* P(S)  = P(+ ∩ S)  

P(+ ∩ S) = 0.95*0.01= 0.0095

The second step is to calculate the probability of the test being positive:

P(+)=  P(+ ∩ S) +  P(+ ∩ H)

Now we know that 1% of the population has the blood sickness, wich means that 99% of the population doesn't have it, symbolically: P(H)= 0.99

Then you can clear the value of P(+ ∩ H):

P(+/H) =<u> P(+ ∩ H) </u>

                 P(H)

P(+/H)*P(H)  = P(+ ∩ H)

P(+ ∩ H) = 0.02*0.99= 0.0198

Next you can calculate P(+):

P(+)=  P(+ ∩ S) +  P(+ ∩ H)= 0.0095 + 0.0198= 0.0293

Now you can calculate the asked probability:

P(S/+)= <u> P(+ ∩ S)  </u> =<u> 0.0095 </u>= 0.32

                P(+)        0.0293

I hope it helps!

                 

                 

6 0
3 years ago
The average swimming pool has a water capacity of 375,000 liters. Use dimensional analysis to show how many milliliters of water
Agata [3.3K]

Answer:

375,000,000 milliliters of water is in the pool.

Step-by-step explanation:

We know

1 liters = 1000 milliliters

hence to convert liter in to milliliter we have to multiply the liter unit  with 1000 to get the milliliter

we have to find value of 375,000 liters in milliliters

to get that we multiply both side by 375,000

1* 375,000 liters = 1000* 375,000 milliliters

thus,

375,000 liters = 375,000,000 milliliters

thus, there is 375,000,000 milliliters of water is in the pool.

3 0
3 years ago
Combine like terms, then simplify if need be.<br><br> 4cx + cx – cx – cx + cx
Crank

Answer:

4cx

hope this helps

have a good day :)

Step-by-step explanation:

8 0
3 years ago
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Order these numbers from least to greatest .-11/23,8,9/2,-0.48
S_A_V [24]
-0.48,-11/23 ,9/2,8
In order to place them in the correct order ,just change the fraction into a decimal by dividing the numerator by the denominator,once its converted you can then put them in the correct order.
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3 years ago
Need help answering these questions please.
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3 years ago
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