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Helga [31]
2 years ago
10

The cost of buying our Stats book online is represented by the 8 sample purchases (in dollars) below: 67.99 78.99 68.99 84.36 80

.24 86 101.25 99.29 3. If I bought a book for both me and a friend, what's the chance that I would pay, on average, under $70 per book?
Mathematics
1 answer:
lesya692 [45]2 years ago
3 0

Answer:

2/8

Step-by-step explanation:

Cost of book 8 sample purchases  (in ascending order) : 67.99, 68.99, 78.99, 80.24, 84.36, 86, 99.29,  101.25

Chance (Probability) of paying under $70 = <u>Favourable outcomes (<70) </u>

                                                                          Total outcomes

= 2/8

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17 rupees 75 Paise is written as​
Evgen [1.6K]
The answer is 17.75 rupees
6 0
3 years ago
How many edges must be removed from the wheel graph W6 in order to create a spanning tree for the graph?
sveticcg [70]

Answer:

The correct option is A.

Step-by-step explanation:

If a graph is formed by connecting a single universal vertex to all vertices of a cycle, then it is known as wheel graph.

W₆ means wheel graph having 6 vertices as shown in the below figure.

Total number of edges in a wheel graph is 2(n-1), where n is number of vertices. So, the number of edges in W₆ is

2(6-1)=10

In a spanning tree all the vertices covered with minimum possible number of edges. Total number of edges in a spanning tree is (n-1).

Total number of edges in a spanning tree which has 6 vertices is

6-1=5

The number of edges we need to remove is

10-5=5

Therefore the correct option is A.

5 0
3 years ago
Show that (2xy3 + cos x)dx + (3x2 y2 − sin y)dy = 0 is exact, and find the solution. Find c if y(0) = π
Licemer1 [7]

We're looking for a solution of the form F(x,y)=C. By the chain rule, this solution should have total differential

\mathrm dF=\dfrac{\partial F}{\partial x}\,\mathrm dx+\dfrac{\partial F}{\partial y}\,\mathrm dy=0

and the equation is exact if the mixed second-order partial derivatives of Fare equal, i.e. \frac{\partial^2F}{\partial x\partial y}=\dfrac{\partial^2F}{\partial y\partial x}.

The given ODE is exact, since

\dfrac{\partial(2xy^3+\cos x)}{\partial y}=6xy^2

\dfrac{\partial(3x^2y^2-\sin y)}{\partial x}=6xy^2

Then

\dfrac{\partial F}{\partial x}=2xy^3+\cos x\implies F(x,y)=x^2y^3+\sin x+f(y)

\dfrac{\partial F}{\partial y}=3x^2y^2-\sin y=3x^2y^2+\dfrac{\mathrm df}{\mathrm dy}

\dfrac{\mathrm df}{\mathrm dy}=-\sin y\implies f(y)=\cos y+C

\implies x^2y^3+\sin x+\cos y=C

With y(0)=\pi, we get

\cos\pi=C\implies C=-1

\implies\boxed{x^2y^3+\sin x+\cos y=-1}

6 0
3 years ago
Which transformation(s) were used to go from the parent graph (red) to the transformed graph (blue)? Check all that apply!
UNO [17]
<h3>2 Answers: </h3><h3>Choice B) Shift down</h3><h3>Choice C) Shift right</h3>

===================================================

Explanation:

Start with the point (-2,-4). Let's try to move it to (2, -9)

To do so, we need to shift down and to the right (in either order).

Specifically we shift 4 units to the right to go from x=-2 to x=4

Note how x=-2 moves to x+4 = -2+4 = 2

Also, we shift 5 units down. We have y = -4 turn into y = -9 as shown below

y ---> y-5 = -4-5 = -9

So the translation rule is (x,y) \to (x+4,y-5)

Let's see what happens when we apply the translation rule to (2,4)

(x,y) \to (x+4, y-5)\\\\(2,4) \to (2+4, 4-5)\\\\(2,4) \to (6, -1)\\\\

which is the other endpoint of the blue segment. This shows that the translation rule works for (2,4) to move to (6,-1)

We do not apply any dilations. The red and blue segments are the same length because translations preserve distance. All we're effectively doing is moving the red segment to land on the blue segment. This means no vertical or horizontal stretches are done. The same can be said about compressions as well.

3 0
3 years ago
20 POINTS) Linda has to buy stickers, erasers, and a pencil. She can only spend $3. A sticker costs $0.35, an eraser costs $0.99
jasenka [17]

Answer:

No, because the total will be $3.62

Step-by-step explanation:

When we substitute with 3 and 2 shown below

0.35(3)+0.99(2)+0.59 we get 3.62, which is greater than 3 dollars.

Hope this helped<33

8 0
2 years ago
Read 2 more answers
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