Answer:
x = 133
Step-by-step explanation:
First, determine what total sum would be needed for the mean to be 114. Do this by multiplying 114 by 6 (bc total number of values in data set includes the variable <em>x</em>).
114 x 6 = 684
Next, add the five known values to get a sum of 551.
Now, just: 684 - 551 = 133
For the mean to be 114, x must equal 133.
8(3 y+2)
Step-by-step explanation:
To apply the distributive property you need to use parentheses and multiply outside numbers with inside numbers or terms
24 y+16
8(3 y+2)
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Distributive Property:brainly.com/question/11916234
Keywords: equivalent expression, distributive property
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Multiply then simplify, that's doing the same work twice...anyway
x^3+x^2y+xy^2-x^2y-xy^2-y^3
x^3-y^3 which if factored is:
(x-y)(x^2+xy+y^2) which is what you started with :)
Answer:
The decision made by the researcher based on this information is to reject the null hypothesis.
Step-by-step explanation:
Two-tailed hypothesis test:
Critical value: 
Test statistic: z
If 
, we do not reject the null hypothesis.
If 
, we reject the null hypothesis.
In this question:
Since , we reject the null hypothesis.
The decision made by the researcher based on this information is to reject the null hypothesis.
If 45% don't want uniforms, it means that 45 out of 100 students don't want them, so the probability is 45/100 = 9/20
And 55% want unifrms, so the probability = 55/100 = 11/20
