6x-5y=15. X=y+3. X= ?y=?
1 answer:
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Answer:
Slope of line is
Step-by-step explanation:
Given that the company logo has four concentric circles.
To plot the line on the graph take point as ( Diameter, Circumference )
Circumference of a circle is given by C=
Where D is the diameter.
To draw a line, we need at least two-point.
Now,
Take D=1
Circumference of a circle will be C=
Required point is (1,)
Take D=0
Circumference of a circle will be C=
Required point is (0,0)
The slope of line is given by s=
Hence,
s=
s=}{0-1}[/tex]
s=}{1}[/tex]
s=
Thus, Slope of line is
Answer:
Probability that at least 490 do not result in birth defects = 0.1076
Step-by-step explanation:
Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.
To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects
Proof -
Given that,
P(birth that result in a birth defect) = 1/33
P(birth that not result in a birth defect) = 1 - 1/33 = 32/33
Now,
Given that, n = 500
X = Number of birth that does not result in birth defects
Now,
P(X ≥ 490) =
= + .......+
= 0.04541 + ......+0.0000002079
= 0.1076
⇒Probability that at least 490 do not result in birth defects = 0.1076
Option D) (0, 0)
<h2>Explanation:</h2>The complete question is:
_______________________________________
On the coordinate plane, Kyle graphs a line that represents a proportional relationship between x and y. Which point MUST be on the line?
A) (0, 1)
B) (1, 0)
C) (1, 1)
D) (0, 0)
_______________________________________
A proportional relationship between x and y can be written in a mathematical language as follows:
For any non-constan k-value. As you can see, this k-value represents the slope of a line. Remember that the Slope-intercept form of a line is given by:
In the case of the y-intercept is zero, so the line passes through.
In conclusion, <em>Kyle's graph is a line that represents a proportional relationship between x and passes through point (0, 0)</em>
<h2>Learn more:</h2>Direct variation: brainly.com/question/13881905
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