Answer:
7
Step-by-step explanation:
a=2
b=2
c=1
2ab cos C=a²+b²-c²=2²+2²-1²=4+4-1=7
Answer:
7
Step-by-step explanation:
Answer: 17.89
Step-by-step explanation:
In binomial distribution, the standard deviation is given by :-
![\sigma=\sqrt{np(1-p)}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7Bnp%281-p%29%7D)
As per given , we have
The number of vouchers in the sample with errors is denoted by x.
p= 0.20 , n = 2000
Then , ![\sigma=\sqrt{2000\times(0.2)(1-0.2)}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B2000%5Ctimes%280.2%29%281-0.2%29%7D)
![\sigma=\sqrt{320}=17.88854382\approx17.89](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B320%7D%3D17.88854382%5Capprox17.89)
Hence, the standard deviation of x is 17.89.
50 × 500 = 25,000
The answer is 500 runs.
Answer:
Percentage = 14.2%
Step-by-step explanation:
<u>Given the following data;</u>
Cost of plane ticket = £588
Airport tax = $130
£1 = $1.34
To find the percentage of the total cost spent on airport tax;
First of all, we would convert the ticket cost in pounds (£) to dollars ($).
Cost of plane ticket = £588 to $ = 588 * 1.34 = $787. 92
Total cost = Cost of plane ticket + Airport tax
Total cost = 787. 92 + 130
Total cost = $917.92
![Percentage \; cost = \frac {130}{917.92} * 100](https://tex.z-dn.net/?f=%20Percentage%20%5C%3B%20cost%20%3D%20%5Cfrac%20%7B130%7D%7B917.92%7D%20%2A%20100%20)
![Percentage = 0.1416 * 100](https://tex.z-dn.net/?f=%20Percentage%20%20%3D%200.1416%20%2A%20100%20)
<em>Percentage cost = 14.16 to 1 d.p = 14.2%</em>
<em>Therefore, the percentage of the total cost spent on airport tax by Rimo is 14.2 percent. </em>