The z score that has 70.54% of the distribution area is 9.92
<h3>What is a z-score?</h3>
The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.
For the random variable x, the z-score is;
z = (x - 11)/2
therefore, 70.54% of the area under the curve lies to the right of x,
then the area to the left of x is;
100 - 70.54 = 29.46%
From the standard table, a z-score of -0.54 will yield an area of 29.46% to the left of x.
Therefore, we get;
(x - 11)/2 = -0.54
x - 11 = -0.54(2)
x = 9.92
The z score is 9.92
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The expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)
<h3>How to rewrite the statement as an expression?</h3>
The mathematical statement is given as
Jaun's age, x, is 4 times his age 15 years ago
From the statement, we have:
x represent Juan's current age
This means that his age 15 years ago is
15 years ago = x - 15
4 times his age 15 years ago is
4 * 15 years ago = 4 * (x - 15)
The above equation is equivalent to his current age
So, we have
x = 4 * (x - 15)
Hence, the expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)
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Answer:
10
Step-by-step explanation:
<em>Since it given that:</em>
<em>x = 7 and y = 3</em>
<em>We can substitute x and y:</em>
<em>(7-3) + 2(3)</em>
<em>7 - 3 = 4</em>
<em>4 + 2(3)</em>
<em>2(3) = 6</em>
<em>4 + 6 =10</em>
<em>Thus the answer is 10.</em>
<em />
<em>[RevyBreeze]</em>
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Step-by-step explanation:
if 70% of the orice is 420 then
70x = 100 × 420
70x = 42000
x = 42000/70
x = 600