The situation which is not possible about the pencils in her box is; Choice B: The longest pencil in the box is 8cm long.
<h3>Mean and Measure of central tendency</h3>
By convention, the mean is a statistical measure of central tendency.
On this note, if the mean of a set of data values is 10, this means the data values have data points greater, equal and less than the mean value.
- On this note, it is impossible to have the longest pencil in the box to have a length, 8cm.
Read more on Mean;
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Answer:
Step-by-step explanation:
This problem is all about bases and exponents. Because we have a quotient and the bases are both 5's, that means that we can use the rule of exponents for quotients to rewrite and simplify:
That's the simplification as long as you are "allowed" to leave the exponent as a negative number.
The number of the specimens would be in the culture after 5 minutes will be 7,962.62.
<h3>What is an exponent?</h3>
Consider the function:
y = a (1 + r) ˣ
Where x is the number of times this growth occurs, a = initial amount, and r = fraction by which this growth occurs.
A bacteria culture grows at a rate of 20% per minute.
If the culture initially has 3,200 bacteria specimens.
Then the equation will be
y = 3200 (1 + 0.2) ˣ
y = 3200 (1.20) ˣ
Then the number of the specimens would be in the culture after 5 minutes will be
y = 3200 (1.20)⁵
y = 7962.62
More about the exponent link is given below.
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Answer:
(x-6)(x-4) = 0
Step-by-step explanation:
Subtract 5 from both sides to make the equation equal to 0. You will get the equation x2-10x+24=0. Now think of two numbers that multiply to get 24 but add to get -10. These numbers are -6 and -4. The factors of x2 are x and x which multiply to get x2. Now put two linear factors into parathesis to get (x-6)(x-4) = 0.