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Damm [24]
3 years ago
7

At a carnival game, you randomly throw two darts at a board with 15 balloons and break two balloons. What is the probability tha

t both the balloons you break are purple? Write your answer as a fraction or percent rounded to the nearest tenth.
Mathematics
1 answer:
Whitepunk [10]3 years ago
8 0

It doesn't sa how many balloons are purple but ill still help u

This is an dependent variable and let x stand for the number of purple balloons

the chance that u hit a purple with teh first dart is x/15

The chance that u hit a purple with the second dart is x-1/14

the answer is x/15 times x-1/14


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Estimate the perimeter and area of the shaded figure to the nearest tenth.
Maru [420]

Answer:

Perimeter = 18.7 units

Area = 13.5 units²

Step-by-step explanation:

Perimeter of ADEC = AD + DE + EC + AC

Length of AD = 3 units

By applying Pythagoras theorem in ΔDBE,

DE² = DB² + BE²

DE² = 3² + 3²

DE = √18

DE = 4.24 units

Length of EC = 3 units

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

AC² = 6² + 6²

AC = √72

AC = 8.49 units

Perimeter of ADEC = 3 + 4.24 + 3 + 8.49

                                 = 18.73 units

                                 ≈ 18.7 units

Area of ADEC = Area of ΔABC - Area of ΔBDE

Area of ΔABC = \frac{1}{2}(AB)(BC)

                       = \frac{1}{2}(6)(6)

                       = 18 units²

Area of ΔBDE = \frac{1}{2}(BD)(BE)

                       = \frac{1}{2}(3)(3)

                       = 4.5 units²

Area of ADEC = 18 - 4.5

                        = 13.5 units²

6 0
3 years ago
What is the explicit formula for this sequence?
Zarrin [17]

Step-by-step explanation:

The above sequence is a geometric sequence

For an nth term in a geometric sequence

a(n) = a ({r})^{n - 1}

where

n is the number of terms

a is the first term

r is the common ratio

From the question

a = 5

r = 10/5 = 2

Therefore the explicit formula for this sequence is

a(n) = 5( {2})^{n - 1}

Hope this helps you

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IgorC [24]
16 is the answer :)))
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Which of the following expressions represents a function?
lora16 [44]
The correct answer is y=4x-1
4 0
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Rita and tina make $11 an hour rita worked r hours and tina worked t hours
nlexa [21]
As the price per hour worked is $11, then 11 is the coefficient (or multiplier) of the number of hours Rita and Tina had worked. As for Rita, she will receive an extra $32 flat wage for her total overtime hours, so it will not be multiplied any further. Expressing their total wages mathematically:

Rita's total wages = 11r + 32

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