Answer:
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Step-by-step explanation:
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If 1 lap is equal to 1/8
so 9 laps would be
9*1/8 = 9/8 miles per minute
Answer:
27/ (4 x^6 y^8)
Step-by-step explanation:
4(3x^2y^4)^3/(2x^3y^5)^4
expand
4 (3^3 x^2^4 y^4^3) / (2^4 x^3^4 y^5^4)
power of the power rule , exponents to the power are multiplied
4 (3^3 x^(2*4) y^(4*3) / (2^4 x^(3*4) y^(5*4))
4 (27 x^(8) y^(12) / (16 x^(12) y^(20))
put like terms over each other
4 * (27/16) * x^8/x*16 * y^12/y^20
when dividing exponents , we subtract the powers
27 * 4/16 * x^ (8-14) * y^ (12-20)
27* 1/4 * x^(-6) * y^ (-8)
27/4 * x^(-6)(y)^ (-8)
negative terms go to the denominator
27/ (4 x^6 y^8)
Answer:
10 square units.
Step-by-step explanation:
Remark
No matter how weird it looks, the figure is a trapezoid. It has 2 parallel lines.
The height has 2 right angles, one at each end.
Givens
b1 = 2
b2 = 8
h = 2
Formula
Area = 1/2 * (b1 + b2 ) * h
Solution
Area = 1/2 * (2 + 4 + 2 + 2) * 2 Be sure you understand where all those 2s came from.
Area = 10 square units
Answer:
Paired difference t test
Step-by-step explanation:
The paired difference t test is a type of statistical test which is used to examine if difference exists in th population mean of two samples. The paired difference test usually involves samples taken within subjects. That is, the sample mean for each set of measurement is taken from the Same subject, In the scenario described above, the subjects which are the 6 veteran runners each wore each of the two shoe brands, this means that two readings were produced by each runner ; one reading for brand A and the other brand B.
The difference between the two readings are taken for each runner and used to perform a hypothesis test:
t = μd/ (s/√n)
s = sample standard deviation ; n = sample size ; μd = mean difference
