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3 years ago

A bag contains 2 blue marbles, 3 green marbles, 1 white marble and 4 red marbles.

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

6 0

Answer:

1/45

Step-by-step explanation:

2/10 * 1/9 = 1/45

2/10= 2 red marbles and 10 marbles in total.

Dima020 [189]3 years ago

3 0

Answer:

2/5

Step-by-step explanation:

add all marbles together: 10 marbles

since only 4 are red, the fraction would be 4/10

4/10 can be simplified to 2/5

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So what you would do is divide 988 by 26 and divide 731 by 17 and those two numbers you would add which gives you the amount of people that attended the performance

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3 years ago

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Lamont has 30 books to pack in boxes. Each box holds 7 books. If he fills each

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Answer:

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3 years ago

Find the perimeter of quadrilateral PQRS with the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3).

storchak [24]

Answer:

$P=16.53\ units$

Step-by-step explanation:

we know that

The perimeter of quadrilateral PQRS is equal to the sum of its four length sides

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3)

step 1

Find the distance PQ

P(2,4), Q(2,3)

substitute in the formula

$d=\sqrt{(3-4)^{2}+(2-2)^{2}}$

$d=\sqrt{(-1)^{2}+(0)^{2}}$

$d=\sqrt{1}$

$dPQ=1\ unit$

step 2

Find the distance QR

Q(2,3), R(-2,-2)

substitute in the formula

$d=\sqrt{(-2-3)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-5)^{2}+(-4)^{2}}$

$dQR=\sqrt{41}\ units$

step 3

Find the distance RS

R(-2,-2), and S(-2,3)

substitute in the formula

$d=\sqrt{(3+2)^{2}+(-2+2)^{2}}$

$d=\sqrt{(5)^{2}+(0)^{2}}$

$dRS=5\ units$

step 4

Find the distance PS

P(2,4), S(-2,3)

substitute in the formula

$d=\sqrt{(3-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-1)^{2}+(-4)^{2}}$

$dPS=\sqrt{17}\ units$

step 5

Find the perimeter

$P=PQ+QR+RS+PS$

substitute the values

$P=1+\sqrt{41}+5+\sqrt{17}$

$P=6+\sqrt{41}+\sqrt{17}$

$P=16.53\ units$

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3 years ago

A coin is tossed 72 times. What is a reasonable prediction for the number of

Aneli [31]

Answer :

That’s it, the probability of getting tail on a single coin toss times the number of observations.

In this case, 1/2 * 72 = 36

However, there’s something called chance error. How much do you expect the result to differ from the expected value? It can be calculated as follows:

The Standard Deviation of this experiment is √(0.5)(0.5) =0.5

The Standard Error is √72 (0.5) ≈ 4.18330 round to the nearst tenth is 4

So, the expected value is 36, give or take 4.

And since the number of tails in a toss coin experiment is normally distributed, then you can expect the number of tails to be between -2 and +2 SEs from the expected value 95% of the time.

In other words, if you repeat this experiment a large number of times, you can expect to obtain between 27 and 43 tails 95% of the time.

Hope this helps

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3 years ago

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In order to find the number of hats, multiply all the choices together, disregarding size:

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112 different hats can be made.

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