<span>
<u><em>The correct answer is:</em></u>16%.
<u><em>Explanation</em></u><span>
<u><em>: </em></u>We use a z-score to answer this question.
<u>The formula for a z-score is:</u>
z=</span></span>

<span><span>,
where mue is the mean and sigma is the standard deviation.
<u>Using our information, we have:</u>
z=</span></span>

<span><span>.
Using a z-table, we see that the area to the left of, or less than, this score is 0.8413. We want to know how many students scored more than this, so we subtract from 1:
1-0.8413=0.1587, which rounds to 16%.</span></span>
Given, (9x - 4)(9x + 4) = ax² - b
From algebraic identities:
We know, (a + b)(a - b) = a² - b²
Now, 81x² + 36x - 36x - 16 = ax² - b
81x² - 16 = axis² - b
So ax² = 81x²
a = 81
-b = -16
b = 16
Solution
Therefore, the value of a is 81.
<h2>MyHeritage</h2>
Answer:
Linear functions can be represented in words, function notation, tabular form and graphical form.
Step-by-step explanation:
equation in slope-intercept form of a line includes the slope and the initial value of the function. The initial value, or y-intercept, is the output value when the input of a linear function is zero.
Answer:
m=6+2/3+3=8/6=4/3
y-y1=m(x-x1)
Y+2=4/3(x+3)
Y=4x/3 +4-2
y=4/3 x+2
Step-by-step explanation:
Answer:
<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>
Step-by-step explanation:
The Least Common Multiple ( LCM )
The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.
For example:
LCM(20,8)=40
LCM(35,18)=630
Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.
Find the LCM of 4,10,12. Follow this procedure:
List prime factorization of all the numbers:
4 = 2*2
10 = 2*5
12 = 2*2*3
Multiply all the factors the greatest times they occur:
LCM=2*2*3*5=60
Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.