Answer:
$60.00
Step-by-step explanation:
The z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10
<h3>How to transform the scores?</h3>
The sample scores are given as:
2, 3, 5, 5, 6.
Calculate the mean and the standard deviation using a statistical calculator.
From the statistical calculator, we have:
--- mean
--- standard deviation
The z-score is then calculated using
Where:
x = 2, 3, 5, 5, 6.
So, we have:
Hence, the z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10
Read more about z-scores at:
brainly.com/question/25638875
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None of the <em>three</em> points (A, B, C) lies on the circumference of the <em>unit</em> circle.
<h3>What point is in the circumference of an unit circle?</h3>
<em>Unit</em> circles are circles centered at the origin and with a radius of 1. A point is on the circumference if and only if the distance of the point respect to the origin is equal to 1. The distance of each point is determine by Pythagorean theorem:
Point A
d = 5
Point B
d = √29 /10
d ≈ 0.539
Point C
d = √58 /4
d ≈ 1.904
None of the <em>three</em> points (A, B, C) lies on the circumference of the <em>unit</em> circle.
<h3>Remark</h3>
The statement presents a typing mistake, correct form is shown below:
<em>A(x, y) = (4, 3), B(x, y) = (1/2, 1/5), C(x, y) = (3/4, 7/4). Which point lies on the circumference of the unit circle?</em>
To learn more on circles: brainly.com/question/11987349
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Answer:
The roots (or, solutions or zeroes) to the polynomial are:
x = 0, 3, -6, 7
Step-by-step explanation:
If (x - a) is a factor of the polynomial then x = a is definitely a root of the polynomial. The converse is also true.
Here, we have 4 factors. So, a polynomial of degree 4 and hence have 4 roots.
x is the first factor.
⇒ x = 0 is a root to the polynomial.
We see (x - 3) is another factor.
⇒ x = 3 should be another root of the polynomial.
Now, (x + 6) is another factor to the polynomial.
So, x = - 6 should be a zero to the polynomial.
Finally, if (x - 7) is a factor of the polynomial then x = 7 should be a zero to it.
So, we have 4 roots, viz., 0, 3, -6, 7 as zeroes to the polynomial.
Answer:
Plug in for y the first equation, to get 3(2x-4)=2x, 6x-12=2x, subtract 2x from both sides and get 4x-12=0, add 12 to both sides to get 4x=12, divide both sides by 4 to get x=3 and plug that into the first equation to get y=2(3)-4, y=6-4=2 so x=3 and y=2
Step-by-step explanation: