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3 years ago

You flip a fair coin 7 times. What is the probability that the coin lands with the heads side up exactly 3 out of the 7 times?

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

5 0

Answer:

35/128 ≈ 0.2374

Step-by-step explanation:

The number of combinations of 7 things taken 3 at a time is ...

7·6·5/(3·2·1) = 7·5 = 35

The number of sequences in which the coins can land is 2^7 = 128.

Of those 128 sequences, 35 will have exactly 3 heads.

The probability is 35/128.

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A company that offers tubing trips down a river rents tubes for a person to use for $20 and “cooler” tubes to carry food and wat

aivan3 [116]

The group rent 11 river rent tubes and 4 cooler tubes.

Step-by-step explanation:

Rent for river rent tube = $20

Rent for cooler tubes = $12.50

Total spent = $270

Total tubes rented = 15

Let,

x be the number of river rent tube.

y be the number of cooler tubes.

According to given statement;

x+y=15 Eqn 1

20x+12.50y=270 Eqn 2

Multiplying Eqn 1 by 20

$20(x+y=15)\\20x+20y=300\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(20x+20y)-(20x+12.50y)=300-270\\20x+20y-20x-12.50y=30\\7.50y=30$

Dividing both sides by 7.5

$\frac{7.5y}{7.5}=\frac{30}{7.5}\\y=4$

Putting y=4 in Eqn 1

$x+4=15\\x=15-4\\x=11$

The group rent 11 river rent tubes and 4 cooler tubes.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

Translate the equation mat at right into an equation. remember that the duble line represent equals

Jobisdone [24]

Answer:

translate the equation mat at right into an equation. remember that the duble line represent equals

Step-by-step explanation:

4 0

4 years ago

If quadrilateral PQRS is a rectangle, then which of the following is true? ∠PSQ ≅ ∠QSR segment SR ≅ segment RQ segment PS ≅ segm

natima [27]

Answer:

Because the diagonals of a rectangle are congruent, the statement "segment SQ ≅ segment PR" is true.

5 0

3 years ago

A monkey has a strict banana eating

daser333 [38]

Answer:
Any way the monkey eats minimum 12 banas on each day of 8 days amointing=12*8=96 bananas

Excess bananas eaten=112–96=16

Monkey eats 8 bananas more on sunny days

number of sunny days=16/8=2 days

Number of sunny days in these 8 days=2 days

8 0

2 years ago

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Dominik [7]

I believe its t>165*F

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2 years ago