Answer = 9/10
Explanation:
Add up all the frequencies along the bottom row: 15+20+40+15+10 = 100
There are 100 pitches total. Ten of which occurs when the pitcher throws 5 times at the batter, as shown in the far right-most column. This means 100-10 = 90 occurrences happen when the pitcher throws 4 or fewer pitches to the batter.
The probability your teacher wants is therefore 90/100 = 9/10. This answer is in fraction form. It is equivalent to the decimal form 0.9
Answer:


![Interval = [666.78, 781.62]](https://tex.z-dn.net/?f=Interval%20%3D%20%5B666.78%2C%20781.62%5D)
Step-by-step explanation:
Given
The data for 25 undergraduates
Solving (a): Range and Standard deviation
The range is:

From the dataset:


So:



The standard deviation is:

First, calculate the mean



So, the standard deviation is:




Solving (b): The interval of the 95% of the observation.
Using the emperical rule, we have:
![Interval = [\bar x - 2*\sigma, \bar x+ 2*\sigma]](https://tex.z-dn.net/?f=Interval%20%3D%20%5B%5Cbar%20x%20-%202%2A%5Csigma%2C%20%5Cbar%20x%2B%202%2A%5Csigma%5D)
![Interval = [724.2 - 2*28.71, 724.2 + 2*28.71]](https://tex.z-dn.net/?f=Interval%20%3D%20%5B724.2%20-%202%2A28.71%2C%20724.2%20%2B%202%2A28.71%5D)
![Interval = [666.78, 781.62]](https://tex.z-dn.net/?f=Interval%20%3D%20%5B666.78%2C%20781.62%5D)
X=2.6
Solution
5x=10+3
5x=13
(divide 5 by both sides)
5x/5=13/5
x=2.6
hope this helps
Answer:
Sophia got 46 questions right.
Step-by-step explanation:
Heres why:
In order to find how much she got right, we put 92% over 100 and make it a fraction so that would be 92/100.
Now, she had 50 questions. So, we will put that over 1. So that would look like this: 50/1.
Finally, we multiply: 92/100 times 50/1.
This equals 4600/100 which equals 46
SO: Sophia got 46 questions right! Hope this helps and plz mark brainliest if you want to! :)
Answer:
The forces by which God has caused the earth and the universe to operate are called supernatural laws.