Beth's scores on the six Physics tests she took this semester are 100, 95, 55, 85, 75, and 100. For this population, how many sc
ores are within one standard deviation of the mean?
2 answers:
Answer:
6 scores
Step-by-step explanation:
First find mean by adding up all the data and dividing by 6:
Mean=85
The find standard deviation by using the standard deviation of a population formula as shown below.
16.07 is the standard deviation. Add 16.07 to the mean to get 101.07. Any numbers higher than this are ignored. Subtract 16.07 from the mean to get 68. 93. Any numbers lower that this are ignored. This means that all 6 scores are within one standard deviation of the mean.
You might be interested in
Answer: 4(2x²+9) or
Step-by-step explanation:
To solve the equation by factoring, we want to set the equation to zero. In order to have the equation equal to zero, we want to add both sides by 36.
8x²=-36 [add both sides by 36]
8x²+36=0
When it comes to factoring, we want to pull out numbers or variables that are common in each term.
8x²+36=0 [take out a 4 in each term]
4(2x²+9)=0
It may seem that 2x²+9 can be factored further, it actually can't. This tells us that the factored form of the equation is 4(2x²+9)=0.
To solve the equation, we want to find the value of x. We already know the graph does not cross the x-axis because the y-intercept or vertex is (0,9).
4(2x²+9)=0 [divide both sides by 4]
2x²+9=0 [subtract both sides by 9]
2x²=-9 [divide both sides by 2]
x²=-9/2 [square root both sides]
or