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kvv77 [185]
3 years ago
7

In packing for a trip, Sarah puts three pairs of socks - one red, one blue, and one green - into one compartment of her suitcase

. If she then pulls four individual socks out of the suitcase, simultaneously and at random, what is the probability that she pulls out exactly two matching pairs
Mathematics
1 answer:
Veronika [31]3 years ago
8 0

Answer:

1/5 or 20%

Step-by-step explanation:

This problem can be easily solved by finding the probability of her picking one matching pair to leave in the suitcase (which results in pulling out exactly two matching pairs)

For the first sock, it does not matter what sock she picks.

For the second sock, there is only 1 out of the 5 socks left that would match the first one picked. Therefore, the probability that she pulls out exactly two matching pairs is 1/5 or 20%

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If a toy rocket is launched vertically upward from ground level with an initial velocity of 120 feet per second, then its height
german

Answer:

Time = 7.5\ seconds

Step-by-step explanation:

Given

Equation:\ h(t) = -16t^2 + 120t

Initial\ Velocity = 160ft/s

Required:

Determine the time taken to return to the ground

From the equation given; height (h) is a function of time (t)

When the rocket returns to the ground level, h(t) = 0

Substitute 0 for h(t) in the given equation

h(t) = -16t^2 + 120t

becomes

0 = -16t^2 + 120t

Solve for t in the above equation

-16t^2 + 120t = 0

Factorize the above expression

-4t(4t - 30) = 0

Split the expression to 2

-4t = 0\ or\ 4t - 30 = 0

Solving the first expression

-4t = 0

Divide both sides by -4

\frac{-4t}{-4} = \frac{0}{-4}

t = \frac{0}{-4}

t =0

Solving the second expression

4t - 30 = 0

Add 30 to both sides

4t - 30+30 = 0+30

4t  = 30

Divide both sides by 4

\frac{4t}{4}  = \frac{30}{4}

t  = \frac{30}{4}

t = 7.5

Hence, the values of t are:

t =0 and t = 7.5

t =0 shows the time before the launching the rocket

while

t = 7.5 shows the time after the rocket returns to the floor

5 0
3 years ago
0.3 is a decimal, so it means that (for example) 0.07 is less than 0.3 because in theory 0.07 is a half decimal . So anything th
Pie
Ya that is correct.
4 0
3 years ago
Coordinate plane with triangle EFG with E at 0 comma 5, F at 1 comma 1, and G at negative 2 comma 1. Point H at 1 comma 1 is on
Oksana_A [137]

Answer:

Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation?

segment EG ≅ segment E prime G prime.

The slope of segment EF is the same as the slope of segment E prime H prime.

segment H prime F prime will overlap segment HF.

segment EH and segment E prime H prime both pass through the center of dilation.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How do we find the measure of one interior angle of a poly?
stiv31 [10]

Answer:

In order to find the value of the interior angle of a regular polygon, the equation is (n−2)180∘n where n is the number of sides of the regular polygon

Hope that helped

3 0
3 years ago
Bulan rows on a crew team. Her team rows their boat at a split (rate) of 2 min/500 m.
notka56 [123]

Answer:

250

Step-by-step explanation:

If Bulan's team rows their boat at a rate of

2

minutes per

500

meters, they row at a rate of

1

minute per

250

meters. We know this because

1

minute is

1

2

of

2

minutes, and in this time, they will have to have rowed

1

2

the distance they would row in

2

minutes (

500

m).

1

2

of

500

is

250

.

So, we now have the rate in min/m.

If, every

1

minute, Bulan's team rows

250

meters, this means that every

250

meters, they have rowed for

1

minute.

Bulan's team's rowing rate in m/min is

250

m/

1

min.

8 0
3 years ago
Read 2 more answers
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