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Studentka2010 [4]
3 years ago
5

Suppose we roll a fair six-sided die and sum the values obtained on each roll, stopping once our sum exceeds 285. Approximate th

e probability that at least 75 rolls are needed to get this sum. Probability
Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0

Answer:

1

Step-by-step explanation:

Probability is given by number of possible outcomes ÷ number of total outcomes

Assuming we stop rolling the six-sided die once our sum is 290 ( exceeds 285)

Number of possible outcomes = 75, number of total outcomes = 290

Probability (75 rolls are needed to get this sum) = 75/290 = 0.259

Probability (more than 75 rolls are needed to get this sum) = 1 - 0.259 = 0.741

Probability (at least 75 rolls are needed to get this sum) means that either 75 rolls or more than 75 rolls are needed to get this sum = 0.259 + 0.741 = 1

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MY LAST QUESTION PLEASE HELP
liraira [26]

Answer:

12

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 60 = 6/hyp

hyp = 6 / cos 60

hyp = 6 / (1/2)

htp = 12

3 0
3 years ago
Hello! Can you please help me on these two problems? =)
poizon [28]

Yeah, I gotta read the questions better.

Perimeter not area.

diagonal length = √((28 - 12)² + (24 - 10)²) = 21.26

P = 12 + 10 + 28 + 24 + 21.26 = 95.26 units

sphere surface area = 4πR²

R = √(379.94 / 4(3.14) = 5.5 in

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4 0
3 years ago
Given: ⅓ (18x + 27) = 81 Prove: x = 12
sasho [114]

Answer:

Firstly, rewrite the equation:

⅓ (18 + 27) = 81

Substitute x for the given number of it's supposed equivalent.

In this case x = 12.

⅓ (18(12) + 27) = 81

Solve using PEMDAS and simplify what is in the parenthesis first. Then, multiply.

(18 x 12) + 27 = 243

Now, solving using PEMDAS, multiply the total of what you got that was originally in the parenthesis by ⅓ .

⅓ (243) = 81

When you multiple these number they are equivalent to 81.

81 = 81

Since the equation given, when substituted x for 12, is equivalent to 81, this proves that substituting x for 12 makes this equation true.

4 0
3 years ago
Given the piecewise function shown below select all of the statements that are true please help
KengaRu [80]

Answer:

B and D

Step-by-step explanation:

Take a look at all the options x=4, 3, 1, 2 > 0

So, we just care about the domain where x>0, which is f(x)=x^{2}.

Then plug in x we will have the right answer.

5 0
3 years ago
To find 19+(11+37), lennie added 19 and 11. then he added 37 to the sum. what property did he use?
Rudiy27
<span>Lennie used associative law of addition.
Associative law of addition doesn’t matter how you group the given numbers to add.

a + (b + c) = (a + b) + c
=> 19 + (11 + 37) or ( 19 + 11) + 37
=>  19 + (48) or (30) + 37
=> 67 or 67</span>



3 0
3 years ago
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