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IceJOKER [234]
2 years ago
7

A fair die is cast four times. Calculate

Mathematics
1 answer:
Anestetic [448]2 years ago
4 0

Answer:

0.1319 or 13.2%

Step-by-step explanation:

You can solve this using the binomial probability formula.

The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.

Then, we can set the equation as follows:

P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k)

n=4, x=2, k=2

when x=2  (4 2)(1/6)^2(5/6)^4-2 = 0.1157

when x=3  (4 3)(1/6)^3(5/6)^4-3 = 0.0154

when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008

Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)

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If a certain brand of icecream is 99% fat free, how many cups would you have to eat to ingest the same amount of fat that would
sdas [7]

Answer:

<em>10,000 cups </em>

Step-by-step explanation:

Direct proportional quantities are such that their quotients are always the same number. Example: If I need one cup of sugar to prepare 5 candies, I will need 2 cups of sugar to prepare 10 candies. The quotient 5/1 is equal to the quotient 10/2

Let's suppose a cup of regular ice cream would have 100 parts of fat.

The brand of ice cream mentioned in the question is 99% fat-free which means for every cup of their ice cream, we'll only get 1 part of fat. The relation is 100/1.

If we wanted 100 parts of fat out of fat-free ice cream we would need 100*100/1=10,000 cups of it

These numbers won't change if we used another number instead of 100 in the example shown.

6 0
3 years ago
Please help! I keep on getting the wrong answer!
valentina_108 [34]

Answer:

CODE: 1977.98

Step-by-step explanation:

A.

(To get the closest answer, round the circumference to the nearest ten thousandth.)

C = 2(3.14)r                      Circumference formula: C = 2πr

C = 2(3.14)(3)

C = 18.84

B.

A = (3.14)r²

A = (3.14)(3)²

A = (3.14)(9)

A ≈ 28.26

C. (It's asking for the circumference.)

C = 2(3.14)r

C = 2(3.14)(58)

C ≈ 364.24

D. (It's a linear pair, which is 180 degrees.)

4x + 2x = 180

6x = 180

x = 30

m∠ABD = 4x

m∠ABD = 4(30)

m∠ABD = 120°

E. (∠GHI & ∠JHK are vertical angles, so they are congruent.)

x + 7 = 3x - 21

28 = 2x

14 = x

F. (x = 14)

m∠JHK = 3x - 21

m∠JHK = 3(14) - 21

m∠JHK = 42 - 21

m∠JHK = 21°

G. (Supplementary - two angles that add up to 180 degrees.)

180 - 84

= 96°

CODE: E(C - D) - F(G - B) - A

CODE: 14(364.24 - 120) - 21(96 - 28.26) - 18.84

CODE: 14(244.24) - 21(67.74) - 18.84

CODE: 3419.36 - 1422.54 - 18.84

CODE: 1977.98

8 0
1 year ago
Solve the system of linear equations Y+2.3=0.45x -2y=4.2-7.8
Zina [86]
Solve the following system using substitution:
{y + 2.3 = 0.45 x
{-2 y = -3.6

In the second equation, look to solve for y:
{y + 2.3 = 0.45 x
{-2 y = -3.6

-3.6 = -18/5:
-2 y = -18/5

Divide both sides by -2:
{y + 2.3 = 0.45 x
{y = 9/5

Substitute y = 9/5 into the first equation:
{4.1 = 0.45 x
{y = 9/5

In the first equation, look to solve for x:
{4.1 = 0.45 x
{y = 9/5

4.1 = 41/10 and 0.45 x = (9 x)/20:
41/10 = (9 x)/20

41/10 = (9 x)/20 is equivalent to (9 x)/20 = 41/10:
{(9 x)/20 = 41/10
{y = 9/5
Multiply both sides by 20/9:
Answer:  {x = 82/9
                {y = 9/5
3 0
3 years ago
Read 2 more answers
Which phrase describes another way to write the expression?
zhuklara [117]
0.75r+0.75(3.20)=0.75(r+3.20)

So the answer is A. The product of 0.75 with the sum of r and 3.20
4 0
3 years ago
Read 2 more answers
Helping my 2nd grader with his math homework and came across this. I don't know Common Core but I can find the sum "the old fash
n200080 [17]
427+316 

step one- add 400 and 300=700
step two- take 3 from the 16 and add it to the 27 and add - 27+3+13=43
step three- add 43 and 700

I think that the common core way just adds more steps and makes it more complicated than just adding it regularly, but that's just me.
3 0
3 years ago
Read 2 more answers
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