Answer:
answer right an answer
Step-by-step explanation:
Given that Megan's tax rates were as follows:
<span>No tax one the first £11000 of earnings
</span><span>Earnings in excess of £11000 and up to £43000 taxed at a rate of 20%
</span><span>Earning in excess of 43000 and up to £150000 taxed at a rate of 40%
</span>Earnings over £150000 taxed at a rate of 45%
If Megan earned £158900 before tax last year, the amount of tax she paid in total is given as follows:
First <span>£11000 = </span><span>£0 tax
</span>Balance after first <span>£11000 = </span><span>£158900 - </span><span>£11000 = </span><span>£147900
</span>
Next (<span>£43000 - </span><span>£11000 = </span><span>£32000) = 20% of </span><span>£32000 = 0.2 x </span><span>£32000 = </span>£6400 tax
Balance after next <span>£32000 = </span><span>£147900 - </span><span>£32000 = </span><span><span>£115000</span> </span>
Next (<span>£150000 - </span><span>£43000 = </span><span>£107000) = 40% of </span><span>£107000 = 0.4 x </span><span>£107000 = </span><span>£42800 tax</span>
Balance after next <span>£107000 = </span><span>£115000 - </span><span>£107000 = </span><span>£8000</span>
Remaiming <span>£8000 = 45% of </span><span>£8000 = 0.45 x </span><span>£8000 = </span><span>£3600 tax</span>
Total tax = <span>£6400 + </span><span>£42800 + </span><span>£3600 = </span><span>£52800
Therefore, she paid a total of </span><span>£52800 in tax last year.</span>
Multiply first equation by 2:
10x + 2y = 18
Subtract the second equation from this so that the 2y terms cancel:
10x - 3x = 18 - 4
7x = 14
x = 2
Plug into first equation to find y:
5(2) + y = 9
10 + y = 9
y = -1
The answer is (2,-1)
Answer:
23.5
Step-by-step explanation:
Answer :
Yes, the experiment is a binomial experiment because it satisfies all the four characteristics of the binomial experiment :
1. Fixed number of trials
2. Exactly two outcomes
3. Outcomes are independent of each other
4. Probability of all the outcomes remains constant from trial to trial.
Success in the given experiment is that the baby recovers fully.
Hospital is caring for 6 babies , n = 6
p = 0.20 ( Success )
q = 1 - 0.20 = 0.80 ( Not a success )
Value of random variable x is the number of babies which are recovering fully, x = 0, 1, 2, 3, 4, 5 or 6