Answer:
The median is 6
Step-by-step explanation:
Place all numbers in order from least to greatest:
2,3,5,5,6,6,6,6,7,7,7,9
Start by counting off the numbers evenly on each side:
5,5,6,6,6,6,7,7,
6,6,6,6,
6,6
If you are left with 2 numbers after evenly counting off numbers, then right what is in between the two numbers:
6
The probability will be found as follows:
z-score is given by:
z=(x-μ)/σ
where:
mean-μ=9.3
standard deviation-σ=1.1
but
σ/√n=1.1/√70=0.1315
thus the z-score will be:
z=(9.1-9.3)/0.1315
z=-1.5209
thus:
P(x<9.1)=P(z<-1.5209)=0.0643
Using the normal distribution, it is found that 63.18% of the area under the curve of the standard normal distribution is between z = − 0.9 z = - 0.9.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The area within 0.9 standard deviations of the mean is the <u>p-value of Z = 0.9(0.8159) subtracted by the p-value of Z = -0.9(0.1841)</u>, hence:
0.8159 - 0.1841 = 0.6318 = 63.18%.
More can be learned about the normal distribution at brainly.com/question/4079902
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Answer:
I'll find X for you; the next step is by you.
Step-by-step explanation:
we have two similar pentagons
I will do it in 2 ways.
1.
=> 48/4x = (x+2)/x
=> 12/x = (x+2)/x
Because of pentagons so x > 0
=> 12 = x + 2 => x = 10
2.
k is unknown number
=> 4x = k.x and 48 = k.(x + 2) (x > 0)
=> k = 4 and 48 = 4.(x + 2)
=> 12 = x + 2 => x = 10
Answer:
6 3/16
Step-by-step explanation:
4 9/16=73/16
1 5/8=13/8=26/16
73/16+26/16=99/16=6 3/16
