Answer:
y = 2![(3)^{x}](https://tex.z-dn.net/?f=%283%29%5E%7Bx%7D)
Step-by-step explanation:
For the exponential function in the form
y = a![b^{x}](https://tex.z-dn.net/?f=b%5E%7Bx%7D)
Use ordered pairs from the table to find a and b
Using (0, 2 ), then
2 = a
(
= 1 ) , thus
a = 2, so
y = 2![b^{x}](https://tex.z-dn.net/?f=b%5E%7Bx%7D)
Using (1, 6 ) , then
6 = 2b ( divide both sides by 2 )
b = 3
Thus the exponential function is
y = 2![(3)^{x}](https://tex.z-dn.net/?f=%283%29%5E%7Bx%7D)
Answer:
Question 4: Which equation is parallel to the above equation and passes through the point (35, 30)
is the correct answer, I found this by inputting the x and y value of the coordinate (35, 30) onto the equation and solving for y-intercept since the slope of all equations is the same (since it's traveling parallel)
![30 = \frac{5}{7} (35) + y\\30 = 25 + y\\5 = y](https://tex.z-dn.net/?f=30%20%3D%20%5Cfrac%7B5%7D%7B7%7D%20%2835%29%20%2B%20y%5C%5C30%20%3D%2025%20%2B%20y%5C%5C5%20%3D%20y)
so the equation would be
Question 5: Which equation is perpendicular to the above equation and passes through the point (35, 30)
is the correct answer, I found this using the same method as before, input coordinate values into the equation and solve for the y-intercept (The only thing changed from the last answer is the opposite reciprocal slope).
![30 = \frac{-7}{5}(35) + y \\30 = -49 + y \\79 = y](https://tex.z-dn.net/?f=30%20%3D%20%5Cfrac%7B-7%7D%7B5%7D%2835%29%20%2B%20y%20%5C%5C30%20%3D%20-49%20%2B%20y%20%20%5C%5C79%20%3D%20y)
so the equation would be ![y=\frac{-7}{5} x+79](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-7%7D%7B5%7D%20x%2B79)
The formula to calculate standard deviation from probability is \sqrt(n*p*(1-p)). n is the sample size, and 200 in this case (number of putts for practice). p is 80% or 0.8, the probability that he can make it. So the standard deviation is \sqrt(200*0.8*(1-0.8)=\sqrt(200*0.8*0.2)=\sqrt(16)=4.
Answer:
0.35
Explanation:
<u>Follow the branch B and then branch D</u>
- multiply both the selected probabilities to calculate total probability.
Answer: 2 - 4x = 6
Please mark me as brainliest