6×+8=14 5×+2=7 14×7=98 ∆m=4.66
The answer is below
we're given
![y = \frac{7}{5} x + 6](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B7%7D%7B5%7D%20x%20%2B%206)
we need to convert to point slope form with our slope and point given
point slope form is
![y - y1 = m(x - x1)](https://tex.z-dn.net/?f=%20y%20-%20y1%20%3D%20m%28x%20-%20x1%29)
so we fill in slope and our point
![y + 6 = \frac{7}{5} (x - 2)](https://tex.z-dn.net/?f=y%20%20%2B%206%20%3D%20%20%5Cfrac%7B7%7D%7B5%7D%20%28x%20-%202%29)
we simplify the left side and get
![y + 6 = \frac{7}{5} x - \frac{14}{5}](https://tex.z-dn.net/?f=y%20%2B%206%20%3D%20%20%5Cfrac%7B7%7D%7B5%7D%20x%20-%20%20%5Cfrac%7B14%7D%7B5%7D%20)
then we subtract 6 from the left and get
this as our final answer
Answer:
The probability that exactly three of them are comfortable with delivery by drones is 0.2583.
Step-by-step explanation:
Let <em>X</em> = number of consumers comfortable having drones deliver their purchases.
The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.43.
Then <em>q</em> is, <em>q</em> = 1 - p
A sample of <em>n</em> = 5 consumers are selected.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.
The pmf of <em>X</em> is:
![P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%7Bn%5Cchoose%20x%7Dp%5E%7Bx%7D%281-p%29%5E%7Bn-x%7D%3B%5C%20x%3D0%2C1%2C2%2C3...)
Compute the value of P (X = 3) as follows:
![P(X=3)={5\choose 3}0.43^{3}(1-0.43)^{5-3}\\=10\times 0.079507\times 0.3249\\=0.258318\\\approx0.2583](https://tex.z-dn.net/?f=P%28X%3D3%29%3D%7B5%5Cchoose%203%7D0.43%5E%7B3%7D%281-0.43%29%5E%7B5-3%7D%5C%5C%3D10%5Ctimes%200.079507%5Ctimes%200.3249%5C%5C%3D0.258318%5C%5C%5Capprox0.2583)
Thus, the probability that exactly three of them are comfortable with delivery by drones is 0.2583.
The annual income tax paid by the person is: $4,500.
<h3>Annual income tax</h3>
Using this formula
Annual income tax=[Salary per month÷(1-percentage deduction)]- Salary per month
Let plug in the formula
Annual income tax=[40,500÷(1-10%)]-40,500
Annual income tax=45,000-40,500
Annual income tax=$4500
Therefore the annual income is $4,500.
Learn more about annual income tax here:brainly.com/question/26316390
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