Answer:
(a/2) ^4 or a^4/16
Step-by-step explanation:
(8a^-3)^-4/3
split into two parts
8^ -4/3 * (a^-3)^-4/3
using the power to the power rule we can multiply the exponents
8^(-4/3) *a^(-3*-4/3)
8^ (-4/3) * a^(4)
replace 8 with 2^3
(2^3)^(-4/3) * a^(4)
using the power to the power rule we can multiply the exponents
2^(3*-4/3) * a^(4)
2 ^ (-4) * a^4
the negative exponent means it goes in the denominator if it is in the numerator
a^4/2^4
make a fraction
(a/2) ^4
or a^2/16
The mean absolute deviation of the scuba diver’s depth over the entire 25 min is 2.4 meters
<h3>What is mean absolute deviation?</h3>
It is defined as the measure to show the variation in data set in other words between the mean and every data value, the distance known as the MAD.
We have depths of the scuba diver, in meters
{−9, −18, −16, −13, −14}
We know the formula for the mean absolute deviation:
Here n is total number of observation
x is the elements in the data set
X is the mean of the data.
n = 5
x = -70/5 = -14
∑|x-X| = 12
MAD = 12/5 = 2.4 meters
Thus, the mean absolute deviation of the scuba diver’s depth over the entire 25 min is 2.4 meters.
Learn more about the mean absolute deviation here:
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Answer:
Step-by-step explanation:
Let the five consecutive integers be (x - 2 ) , (x - 1) , (x) , (x + 1) , (x + 2)
(x - 2 ) + (x - 1) + (x) + (x + 1) + (x + 2) = 110
x - 2 + x -1 + x + x +1 + x + 2 = 110
5x = 110
x = 110/5
x = 22
The consecutive numbers are: 20,21,22,23,24
The answer is A because there is a common difference of 3 and that makes it Arithmetric
Answer: 1,468.5
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the price of each share of stock ($19.58) by the number of shares of stock bought (75 ).
Mathematically speaking:
Price per share x number of shares = 19.58 x 75 = $1,468.5
His purchase price was 1,468.5
Feel free to ask for more if needed or if you did not understand something.
