3r/4= 1/8 what's the value of r
2 answers:
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Answer:
[ 502.5, 517.5]
Step-by-step explanation:
Given:
Mean of the sample, µ = 510
Total sample size, n = 100
Standard deviation = 75
Confidence level = 95%
Now,
The interval for µ is given as:
⇒ µ ±
for 95% confidence level z value = 1.96
Thus,
The interval for µ
⇒ 510 ±
or
⇒ 510 ± 7.5
or
⇒ [ 510 - 7.5, 510 + 7.5 ]
or
⇒ [ 502.5, 517.5]
First list all the positive and negative factors of the constant term in the expression: ±(1,2,3,4,6,12) these will be the values for "p"
Second list all the positive and negative factors of the leading coefficient:
±(1,3) these will be the values for "q"
Now list all the possible values of
these will be the possible rational zeros of the polynomial function:
±(
)
these can be reduced to the following list:
±(1,
, 2, 
, 3, 4, 
, 6, 12
This list represents the possible rational zeros of the function. You can then use synthetic division to narrow down the actual roots of the function.
Second list all the positive and negative factors of the leading coefficient:
±(1,3) these will be the values for "q"
Now list all the possible values of
±(
these can be reduced to the following list:
±(1,
This list represents the possible rational zeros of the function. You can then use synthetic division to narrow down the actual roots of the function.
ANSWER
B.) 72
EXPLANATION
Recall the expansion for the factorial notation:
We want to simplify
Let us expand the numerator up to 7! while maintaining the denominator.
When we cancel out the common factors,we obtain:
This simplifies to
The correct answer is B.