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Airida [17]
3 years ago
9

Either table C or Table D shows a proportional relationship

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
7 0

Answer:

Table D

Step-by-step explanation:

1)To verify a proportional relationship. You must simply divide "y" coordinate over "x" coordinate like this: \frac{y}{x}=k. This constant K remaining the same, displays a proportional relationship between them.

Verifying C

\frac{y}{x}=\frac{1}{2}\neq\frac{3}{4}\neq \frac{5}{6}\neq\frac{7}{8}

Not Proportional

So let's check for D

\frac{y}{x}=\frac{1}{2}=\frac{3}{6}=\frac{4}{8}=\frac{5}{10}=\frac{1}{2}\Rightarrow k=\frac{1}{2}

Proportional :)

Geometrically, when there's a proportional relationship the line passes through the Origin. Check the graph for table D.

mash [69]3 years ago
6 0
K12 if you know plzz tell me too

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A particular sale involves four items randomly selected from a large lot that is known to contain 9% defectives. Let X denote th
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Answer:

The expected repair cost is $3.73.

Step-by-step explanation:

The random variable <em>X</em> is defined as the number of defectives among the 4 items sold.

The probability of a large lot of items containing defectives is, <em>p</em> = 0.09.

An item is defective irrespective of the others.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 9 and <em>p</em> = 0.09.

The repair cost of the item is given by:

C=3X^{2}+X+2

Compute the expected cost of repair as follows:

E(C)=E(3X^{2}+X+2)

        =3E(X^{2})+E(X)+2

Compute the expected value of <em>X</em> as follows:

E(X)=np

         =4\times 0.09\\=0.36

The expected value of <em>X</em> is 0.36.

Compute the variance of <em>X</em> as follows:

V(X)=np(1-p)

         =4\times 0.09\times 0.91\\=0.3276\\

The variance of <em>X</em> is 0.3276.

The variance can also be computed using the formula:

V(X)=E(Y^{2})-(E(Y))^{2}

Then the formula of E(Y^{2}) is:

E(Y^{2})=V(X)+(E(Y))^{2}

Compute the value of E(Y^{2}) as follows:

E(Y^{2})=V(X)+(E(Y))^{2}

          =0.3276+(0.36)^{2}\\=0.4572

The expected repair cost is:

E(C)=3E(X^{2})+E(X)+2

         =(3\times 0.4572)+0.36+2\\=3.7316\\\approx 3.73

Thus, the expected repair cost is $3.73.

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Write an equation for the parabola whose vertex is at (4, 9) and which passes through (5, 24).
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The general formula to form a parabole equation is written below.
y = a(x - h)² + k
with (x,y) is one of the points lies on the parabola, and (h,k) is the vertex of the parabola.

From the question above, we get this information
(x,y) = (5,24)
(h,k) = (4,9)
The remaining value to find is a. We need to find the value of a to form the equation. Input the numbers to the equation.
y = a(x - h)² + k
24 = a(5 - 4)² + 9
24 = a(1) + 9
24 = a + 9
24 - 9 = a
a = 15

Write the equation, without inputing the value of x and y
y = a(x - h)² + k
y = 15(x - 4)² + 9
<em>This is the equation</em>
8 0
3 years ago
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