The best way to five students from a list of 626 students available such that it exhibits a random process is to List each name on a separate piece of paper; place them all in a hat, and pick five.
The selection process which should be undertaken by the student government, should be one which is inclusive and representative. Hence, the five students to be selected which makes up the sample of the total student should be chosen at random and transparently.
Hence, listing the names of each student on a Seperate piece of paper, placing it in a hat and making 5 selections showcase randomness and transparency, hence, it should be the adopted selection process.
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Answer:
f(x) and g(x) are inverse functions
Step-by-step explanation:
In the two functions f(x) and g(x) if, f(g(x)) = g(f(x)) = x, then
f(x) and g(x) are inverse functions
Let us use this rule to solve the question
∵ f(x) = 3x²
∵ g(x) = 
→ Find f(g(x)) by substitute x in f(x) by g(x)
∴ f(g(x)) = 3(
)²
→ Cancel the square root with power 2
∴ f(g(x)) = 3(
)
→ Cancel the 3 up with the 3 down
∴ f(g(x)) = x
→ Find g(f(x)) by substitute x in g(x) by f(x)
∴ g(f(x)) = 
→ Cancel the 3 up with the 3 down
∴ g(f(x)) = 
→ Cancel the square root with power 2
∴ g(f(x)) = x
∵ f(g(x)) = g(f(x)) = x
→ By using the rule above
∴ f(x) and g(x) are inverse functions
Answer:
1.5 mL
Step-by-step explanation:
The abbreviation mcg stands for "microgram," or 10^-6 grams. The abbreviation mg stands for "milligram," or 10^-3 grams. The relationship between these is ...
1 mg = 1000 mcg
<h3>Dose</h3>
The order for 6000 mcg is an order for 6(1000 mcg) = 6(1 mg) = 6 mg. At 4 mg/mL, the quantity of dexamethasone required is ...
(6 mg)/(4 mg/mL) = (6/4) mL = 1.5 mL
The nurse will give 1.5 milliliters of dexamethasone.
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2u + 1 > -5/4u - 9
2u + 5/4u > -9 - 1
8/4u + 5/4u > -10
13/4u > -10
u > - 10 * 4/13
u > -40/13 or - 3 1/13 <=