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3 years ago

John flips 10 coins and lays them out in a straight line.

Mathematics

1 answer:

belka [17]3 years ago

3 0

For every coin, two options are possible. The formula for calculting all possibilities is $p^{t}$ where p is possibilities per time and t is times.

Therefore, there are $2^{10}$ which is 1024 combinations.

The formula for calculating probability is $\frac{w}{t}$ where w is the ways to achieve the desired outcome, and t is the total outcomes possible.

Therefore, there is a $\frac{1}{1024}$ chance of flipping ten tails.

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Calculate how many different sequences can be formed that use the letters of the given word. Leave your answer as a product of t

sdas [7]

Answer: E) C(10, 2)C(8, 1)C(7, 1)C(6, 1)C(5, 1)C(4, 2)C(2, 2)

Step-by-step explanation:

According to the combinations: Number of ways to choose r things out of n things = C(n,r)

Given word: "georgianna"

It is a sequence of 10 letters with 2 a's , 2 g's , 2 n's , and one of each e, o,r, i.

If we think 10 blank spaces, then in a sequence we need 2 spaces for each of g.

Number of ways = C(10,2)

Similarly,

1 space for 'e' → C(8,1)

1 space for 'o' → C(7,1)

1 space for 'r' → C(6,1)

1 space for 'i' → C(5,1)

1 space for 'a' → C(4,2)

1 space for 'n' → C(2,2)

Required number of different sequences = C(10,2) ×C(8,1)× C(7,1)× C(6,1)×C(5,1)×C(2,2).

Hence, the correct option is E) C(10, 2)C(8, 1)C(7, 1)C(6, 1)C(5, 1)C(4, 2)C(2, 2)

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3 years ago

Simplify the expression, write in standard and exponential form.

timama [110]

Answer:

$(5x {y}^{2} ) ^{7} = {5x}^{7 } \times {x}^{7} \times {y}^{14} = {5x}^{14} {y}^{14}$

5 0

3 years ago

Read 2 more answers

Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles, what is the correct ex

Debora [2.8K]

The expression s = 5b represents the Sandra rode her bike and the distance Sandra rode, equals 17 miles.

<h3>What is distance?</h3>

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

Sandra rode her bike 5 times as many miles as Barbara. If b, the distance Barbara rode, equals 3.4 miles.

b = 3.4 miles

Let's suppose the s is the distance Sandra rode then,

s = 5b

The above expression represents the Sandra rode her bike.

Plug b = 3.4 miles

s = 5(3.4) = 17 miles

Thus, the expression s = 5b represents the Sandra rode her bike and the distance Sandra rode, equals 17 miles.

Learn more about the distance here:

brainly.com/question/26711747

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2 years ago

if there are two containers of sugar solution, the first is 4% concentration and second is 8% concentration. how much of each sh

Elina [12.6K]

Answer:

<u>30 gallons solution 4% and 10 gallons solution 8%</u>

Step-by-step explanation:

x=40-y

4(40-y)+8y=200

160-4y+8y=200

4y=200-160

4y=40 => y=10 (gallons solution 8%)

=> x=40-10=30 (gallons solution 4%)

30 gallons solution 4% and 10 gallons solution 8%

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2 years ago

Mrs. Blalock gave her students a math test. Each problem on the test was worth 4.5 points. The grade on the test, y, can be calc

umka2103 [35]

Answer:

4,5*16=y

y=72

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers