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2 years ago

In a direct variation, y=18 when x=9. Write a direct variation equation that shows the relationship between x and y

Mathematics

1 answer:

Jobisdone [24]2 years ago

3 0

Answer:

y = 2x

Step-by-step explanation:

since x and y vary directly then the equation is

y = kx ← k is the constant of variation

to find k use the given condition y = 18 when x = 9

k = $\frac{y}{x}$ = $\frac{18}{9}$ = 2, hence

y = 2x ← is the equation relating x and y

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Let X be the number of Heads in 10 fair coin tosses. (a) Find the conditional PMF of X, given that the first two tosses both lan

inn [45]

Answer:

Follows are the solution to the given point:

Step-by-step explanation:

For option A:

In the first point let z be the number of heads which is available on the first two trails of tosses so, the equation is:

$P(X=k | z=2 ) = \begin{pmatrix} 10-2\\ k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k}$

$= \begin{pmatrix} 8\\k-2\end{pmatrix} (\frac{1}{2})^{k-2} (\frac{1}{2})^{10-k} \ \ \ \ \ \ \ \ \ \ \\\\$

$k= 2,3..........10$ For option B:

$P(X=k | X \geq 2 ) = \sum^{10}_{i=2} \begin{pmatrix} 10-i\\ k-i\end{pmatrix} (\frac{1}{2})^{k-i} (\frac{1}{2})^{10-k}$

$k= 2,3, 4.........10$

8 0

3 years ago

Use the drop-down menus to choose steps in order to correctly solve 3+4d−14=15−5d−4d for d.

Kisachek [45]

Answer:

d=2

Step-by-step explanation:

SHOWN BELOW

8 0

2 years ago

Read 2 more answers

What is the slope? First, determine the slope. (200,14) (225,16)

Maksim231197 [3]

Answer:

$\displaystyle m=\frac{2}{25}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (200, 14)

Point (225, 16)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [SF]: $\displaystyle m=\frac{16-14}{225-200}$
[Fraction] Subtract: $\displaystyle m=\frac{2}{25}$

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2 years ago

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gregori [183]

Let's compare apples to apples and oranges to oranges: convert each given proper fraction into its decimal counterpart:

3 63/80 => 3 .788 approx.

3 1/5 => 3.2

3 11/20 => 3.55

It's now an easy matter to arrange these numbers from least to greatest:

3.2, 3.55, 3.79, or

3 1/5, 3 11/20, 3 63/80

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3 years ago

The diagram shows an equilateral triangle, a square, and one diagonal of the square. what is the value of x

Verizon [17]

Answer:

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Step-by-step explanation:

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2 years ago