The equation that represents the table of values is ![y=(\frac{1}{4})^x](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5Ex)
Step-by-step explanation:
We need to find the equation that matches the table of values.
x y
0 | 1
1 | 1/4
2 | 1/16
3 | 1/64
So, when x =0 y=1 and when x=1, y=1/4
if ![y=(\frac{1}{4})^x](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5Ex)
then putting x=0 we get y=1
x=1, we get y=1/4
x=2, we get y=1/16
x=3, we get y=1/64
So, the equation that represents the table of values is ![y=(\frac{1}{4})^x](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5Ex)
Kindly check your options, as option D should be ![y=(\frac{1}{4})^x](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B4%7D%29%5Ex)
Keywords: Solving Equations
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Answer:
1 --- The cyclist's average speed was 18 miles per hour.
2 --- I would travel 280 miles far.
3 --- Your average speed was 52.5 miles per hour.
4 --- You should expect to arrive in Leeds at 11:50 AM.
5 --- The athlete will run 2000 m in 8 minutes and 20 seconds.
6A --- The average speed of the journey is 48 miles per hour.
6B --- It will take him 6 hours and 40 minutes.
Step-by-step explanation:
1) 90 / 5 = 18
2) 70 x 4 = 280
3) 315 / 6 = 52.5
4) 210 / 90 = 2.3333
0.333 = 0:20
9:30 + 2:20 = 11:50
5) 2000 / 4 = 500
500 / 60 = 8.3333
0.3333 = 0:20
8.3333 = 8:20
6A) 0:45 = 0.75
420 / 8.75 = 48
6B) 420 / 63 = 6.666
6.6666 = 6:40
Answer:
0.9488
Step-by-step explanation:
We have a binomial experiment with n = 77 independent trials, in each trial, we can have a success or a fail, the probability of success is p = 1/3 (q = 2/3) because each question has three answer choices and only one is correct, besides the person decides on answers by rolling a fair die. Therefore, the probability that the person gets exactly x correct answers is given by
and the probability that the person gets fewer than 33 correct answers is given by
= 0.9488
Answer:
The tree is 12 yards tall
Step-by-step explanation:
Multiply both sides by 2 to get rid of the fraction. then, subtract p from both sides to isolate m. therefore the answer would be [m= 2B-p]