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Mamont248 [21]
3 years ago
9

The square below represents one whole. What percent is represented by the shaded area?

Mathematics
1 answer:
Lelu [443]3 years ago
6 0

the correct answer is 61%

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A new test to detect TB has been designed. It is estimated that 88% of people taking this test have the disease. The test detect
Elodia [21]

Answer:

Correct option: (a) 0.1452

Step-by-step explanation:

The new test designed for detecting TB is being analysed.

Denote the events as follows:

<em>D</em> = a person has the disease

<em>X</em> = the test is positive.

The information provided is:

P(D)=0.88\\P(X|D)=0.97\\P(X^{c}|D^{c})=0.99

Compute the probability that a person does not have the disease as follows:

P(D^{c})=1-P(D)=1-0.88=0.12

The probability of a person not having the disease is 0.12.

Compute the probability that a randomly selected person is tested negative but does have the disease as follows:

P(X^{c}\cap D)=P(X^{c}|D)P(D)\\=[1-P(X|D)]\times P(D)\\=[1-0.97]\times 0.88\\=0.03\times 0.88\\=0.0264

Compute the probability that a randomly selected person is tested negative but does not have the disease as follows:

P(X^{c}\cap D^{c})=P(X^{c}|D^{c})P(D^{c})\\=[1-P(X|D)]\times{1- P(D)]\\=0.99\times 0.12\\=0.1188

Compute the probability that a randomly selected person is tested negative  as follows:

P(X^{c})=P(X^{c}\cap D)+P(X^{c}\cap D^{c})

           =0.0264+0.1188\\=0.1452

Thus, the probability of the test indicating that the person does not have the disease is 0.1452.

4 0
3 years ago
If a worker can do his job in 5 hours, and a student can do the same job in 8 hours, what part of the work is left to finish aft
Aleks [24]

Answer:

Part of work left to finish after two work hours is 7/20

Step-by-step explanation:

Firstly, we need to calculate their joint work rate

That will be;

1/(1/5 + 1/8) = 1/(13/40) = 40/13

This means that they will complete the task in 40/13 hours

1 whole part takes 40/13

x part will take 2 hours

x * 40/13 = 2

40x = 26

x = 26/40

So the part that will be completed in two hours is 26/40

This means that the part left to complete will be:

1 - 26/40 = 14/40 = 7/20

8 0
3 years ago
Read 2 more answers
Calculate 8.93 x 104 times 4.2 x 106 by using scientific notation. Write answer in scientific notation. (round to the ten thousa
Andreas93 [3]
I think the answer is 4.13466144•10^5
5 0
3 years ago
Jskfhgk jdg kmhhhhhhhhhhhhhhhhhh
mafiozo [28]

sbxiizkaksbssnbsbs ssssssss

Step-by-step explanation:

<(* )

( )

\ \

4 0
3 years ago
Write a story problem to go with the multiplication problem 3 x 7/8
Mariulka [41]

Answer:

Elias Nebiyu gives seven breads for his eight friends and he continues this give away for three days.

Step-by-step explanation:

3x 7/8 result is attached above.

4 0
2 years ago
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