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Cerrena [4.2K]
4 years ago
13

Factor 205 into products of its primes

Mathematics
1 answer:
seraphim [82]4 years ago
5 0

Only two primes

205 = 5 · 41

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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
The y-intercept of g(x) in g(x) = 3x - 2 is (0,-2) (0,0) (2/3,0)
Dennis_Churaev [7]
For any y-intercept, the x-coordinate is zero. This is something to bear in mind to start with.

Now to find the y-intercept, find g(0) = -2.

Therefore the answer is (0,-2)
6 0
3 years ago
Read 2 more answers
How many five digit ZIP Codes are possible if the two numbers cannot be zero or a one? (Numbers can repeat)
olga nikolaevna [1]

Answer:

This means 100000 possible zip codes if repeatable

Step-by-step explanation:

5 0
3 years ago
If you were going to represent the top view of the figure, state which boxes should be shaded. Write an essay. Pls, help. Thx.
Rudiy27

Answer:

9, 13, 10, 11,  7, 3, 4.

Step-by-step explanation:

9, 13, 10, 11,  7, 3, 4 are the ones which should be shaded and can be seen from the top. In ascending order: 3, 4, 7, 9, 10, 11, 13.

1, 2, 5, 6, 8, 12, 16, 14, 15 are the numbers of the boxes that would not be seen from the top.

Hope this helps!

4 0
3 years ago
Read 2 more answers
What's the 7 number ling
Kay [80]
If the number is rounded to 8,920,000 then it can't be over 8,924,999 and it can't be less than 8,915,000.
The numbers in the tens and hundreds are the least and the same. They might be zeros.
The thousands is 2x the ten thousands place. The ten thousands place now is either 2 or 1. The thousands place will either be 2 or 4.
The sum of all the digits is 24. We know that there will be an 8 and a 9 so if we add those up and subtract it from 24, we know the rest of the numbers need to add to 7.
8,924,001 would be your number.


7 0
3 years ago
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