Answer: The probability that a gene is of type A is 0.29.
Step-by-step explanation:
Let A be the event of type A.
Let B be the event of type B.
Let D be the event of dominant.
So, P(B and D) = 0.22
P(D|B)=0.31
So, Using the conditional probability, we get that

So, the probability that a gene is of type A is given by

Hence, the probability that a gene is of type A is 0.29.
Answer:
41 word/min
Step-by-step explanation:
Before noon Ali works:
- 4 hours= 4*60 min= 240 min
She types:
After lunch she works:
She types:
Total Ali works= 4+4= 8 hours= 480 min
Total Ali types= 11520+8160= 19680 words
Average typing rate= 19680 words/480 min= 41 word/min
The sales was increased by 44.4%.
Step-by-step explanation:
- Lets do this cumulative
- 90 of 10 % = 9 which is 99
- 90 of 10 % = 9 which is 108
- 90 of 10% = 9 which is 117
- 90 of 10% = 9 which is 126
- 90 of 4 % = 3.6 which is 129.6
- 90 of 0.044% = 0.0396 which is 129.99
- This comes to nearly 44.44 to be closer there was an increase.
- Always rule 1 approximation use 50% of 90 if it is above 130.
- Down it to 40% of 90 see if the sales is lower than 130.
- It should always start with 50,40,30....10 percents.
- Alternative should be 10,1 or decimals.
- Approximation using decimals rounding up becomes simple.
B = hourly rate for babysitting and w = hourly rate for working at water park
3b + 10w = 109...multiply by -8
8b + 12w = 177...multiply by 3
----------------------
-24b - 80w = - 872 (result of multiplying by -8)
24b + 36w = 531 (result of multiplying by 3)
---------------------add
- 44w = - 341
w = -341/-44
w = 7.75 <=== hourly rate for working at water park
3b + 10w = 109
3b + 10(7.75) = 109
3b + 77.50 = 109
3b = 109 - 77.50
3b = 31.50
b = 31.50/3
b = 10.50 <== hourly rate for babysitting