Answer:
100 beats per minute
Step-by-step explanation:
If it takes 28.8 secs for the piano to play 48 beats, then it would take 60 secs (1 minute) to play x number of beats.
To find the value of x, which is the number of beats the piano makes per minute, let's set the proportion as shown below:
28.8 secs = 48 beats
60 secs = x beats
Cross multiply
28.8*x = 60*48
28.8x = 2,880
Divide both sides by 28.8
x = 2,880/28.8
x = 100
✅Thus, if the Piano plays 48 beats in 28.8 secs, therefore, the tempo of the piano in beats per minute would be 100 BPM
Answer:
By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For the sampling distribution of size n of a sample proportion p, the mean is p and the standard deviation is
Differences between SRS of 200 and of 600
By the Central Limit Theorem, both would be approximately normal and have the same mean. The difference is in the standard deviation, since as the sample size increases, the standard deviation decreases. So the SRS of 600 would have a smaller standard deviation than the SRS of 200.
Answer:
Lisa must get an 88.75 or higher to stay in between 80 and 90.
Step-by-step explanation:
Answer:
Corresponding point to (2,8) along -3/4 f(x) = ( -1.5 , -6 )
Explanation:
When a graph f(x) is multiplied by a factor k, the points on the graph also changes by (kx, ky).
Here it is given that (2,8) is on the graph of f(x)
Now we need to find corresponding point to (2,8) along -3/4 f(x)
x - coordinate =
y - coordinate =
So corresponding point to (2,8) along -3/4 f(x) = ( -1.5 , -6 )
y = 3/2x + b
Plug in the point (2,2) and solve for b.
2 = (3/2)(2) + b
2 = 3 + b
b = -1
Final equation is y = 3/2x - 1.