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3 years ago

Irrational numbers definition

Mathematics

1 answer:

Andrej [43]3 years ago

4 0

A number that can not be expressed as a fraction for integers

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I NEED HELP PLEASE! If you can help me with this you amazing! Thank you

krek1111 [17]

Answer:

$a=-3$

Step-by-step explanation:

we have

$a-2=\frac{3+6a}{3}$

Solve for a

That means ----> Isolate the variable a

Factor 3 in the numerator right side

$a-2=\frac{3(1+2a)}{3}$

Simplify right side

$a-2=1+2a$

subtract a both sides

$a-2-a=1+2a-a$

$-2=1+a$

subtract 1 both sides

$-2-1=1+a-1$

$-3=a$

Rewrite

$a=-3$

6 0

3 years ago

A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste

Oxana [17]

Given that X be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02

Part A:

The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

 $P(X)={ ^nC_xp^x(1-p)^{n-x}} \\ \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\ \\ =1(1)(0.98)^{30}=0.5455$


Part B:

The mean of a binomial distribution is given by

 $\mu=np \\ \\ =30(0.02) \\ \\ =0.6$

The standard deviation is given by:

 $\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\ \\ =0.7668$


Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.

5 0

3 years ago

How many pairs of whole numbers have a sum of 40

Alex

For the writer, there are 20
1. 1 + 39 = 40 
2. 2 + 38 = 40
3. 3 + 37 = 40
4. 4 + 36 = 40 
5. 5 + 35 = 40 
6. 6 + 34 = 40
7. 7 + 33 = 40
8. 8 + 32 = 40 
9. 9 + 31 = 40
10. 10 + 30 = 40 
11. 11 + 29 = 40 
12. 12 + 28 = 40
13. 13 + 27 = 40 
14. 14 + 26 = 40 
15. 15 + 25 = 40 
16. 16 + 24 = 40 
17. 17 + 23 = 40 
18. 18 + 22 = 40 
19. 19 + 21 = 40 
20. 20 + 20 = 40

5 0

3 years ago

Pls help is just need to find the equivalent expression

Alecsey [184]

Answer:

15x+20y+5z

Step-by-step explanation:

Trust me.

3 0

2 years ago

Estimate the difference by rounding each number to the nearest half or whole. 7 1/15 - 3 4/5

bearhunter [10]

7 1/15 to the nearest whole would be 7. 3 4/5 to the nearest whole would be 4.

7 – 4 = 3

3 0

3 years ago