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VikaD [51]
3 years ago
8

Rosa is attending an event where prizes are being given away. The probability of winning a T‐shirt is 0.89 and the probability o

f winning a $20 gift certificate is 0.05. Which statement correctly describes the chances of Rosa winning a T‐shirt or a $20 gift certificate? It is very likely that Rosa wins both prizes.
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0

Answer:

It is very likely that Rosa wins both prizes.

Step-by-step explanation:

The probability of winning a T‐shirt is 0.89 and the probability of winning a $20 gift certificate is 0.05. Which statement correctly describes the chances of Rosa winning a T‐shirt or a $20 gift certificate?

We have these three possibe outcomes.

Win t-shirt(0.89 probability) and lose the gift certiciate(1 - 0.05 = 0.95 probability)

Lose t-shirt(0.11 probability) and win the gift certiciate(0.05 probability).

Win both.

So

p = 0.89*0.95 + 0.11*0.05 + 0.89*0.05 = 0.8955

0.8955 = 89.55% probability of Rosa winning a T‐shirt or a $20 gift certificate, which is considered a very likely probability. So the answer is:

It is very likely that Rosa wins both prizes.

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How much cheaper per ounce is purchasing 7 ounces for $7.84 compared to purchasing 5 ounces for $5.70
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Write an exponential function in the form y=ab^x that goes through the point (0,17) and (6,1088)
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Answer:

y = 17(2)^x

Step-by-step explanation:

If the graph of y = ab^x goes through (0, 17), then

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Then the function is y = ab^x with a = 17, or

                                  y = 17*b^x and we must find b.

If the graph of y = 17*b^x also goes through (6, 1088), then the following must be true:   1088 = 17*b^6

which reduces to 64 = b^6

Taking the sixth root of both sides, we get 64^(1/6) = b, and so b = 2

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6 0
3 years ago
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(-2,1)

Step-by-step explanation:

7 0
3 years ago
This composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet.
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As we can see on the picture we have a rectangle and half of circle.

The areas for half circle and rectangle are:

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The area of the figure is the sum of the area of half circle and rectangle. Also the height of a rectangle (6ft) is a diameter of a half circle therefore the radius of half circle is 6ft ÷ 2 = 3ft.

Now we calculate the areas.

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The area of the figure is approximately 74ft squared.

Hope this helps.

r3t40

3 0
3 years ago
Read 2 more answers
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