Answer:
Step-by-step explanation:
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by 
, where 
is the radius of the circle and 
is the angle of the arc.
In this problem, we're given:
Substituting given values, we get:
Answer:
Step-by-step explanation:
The prices of quoted of auto repairs are as listed below;
$139, $150, $345, $99, $167, $155, $140, $200.
For her to check whether there is an outlier in the data, she needs to find the mean of the set of data. An outlier is a value in a set of a data that varies considerably from other data in a dataset. It may be larger or smaller than other set of datas. An outlier can affect the decision of a set of data to be analysed if nor taken care of.
From the data, the possible outliers are $99 and $345
Mean of the data = sum of all the prices/sample size
xbar = \sum Xi / N
Xi are individual datas
\sum Xi = $139+$150+$345+$99+$167+$155+$140+$200+$160
\sumXi = $1555
Sample size = 9
Mean = $1555/9
Mean = $172.78
Hence the value that would best represent the central tendency is $177.78
Answer:
√x
Step-by-step explanation:
First, simplify -3⁄6 to -½. Next, according to the Negative Exponential Rule, move the denominator to the numerator to get x¹\²:
bⁿ = 1\b⁻ⁿ
Then, according to the Definition of Rational Exponents [part I], rewrite this as a radical, which in this case would be √x. This is when your numerator is 1:
ⁿ√aᵐ = aᵐ\ⁿ
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We need to FOIL that out and then get it into standard form to see what our A, B, and C are. FOILing gives us
. If we move the 7 over by subtraction and set it equal to 0, we have
. In order to avoid a negative leading coefficient, we can change all the signs to get
so A = 1, B = 0, C = -18, first choice above.
As from the question,
x = 60°
πd = 12π
Using the Arc Length formula,
x/360° × πd
= 60°/360° × 12π
= 2π
Ans: B
