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Softa [21]
3 years ago
8

There is a bag filled with 4 blue, 3 red and 5 green marbles.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Answer:

You are selecting marbles with replacement. The marble selections (trials) are independent and the marble selection follows the binomial distribution.

The probability of selecting a red marble the first time is 1313.

(This is because 4 out of 12 marbles are red and412412 reduces to 1313.

The probability of selecting a red marble the second time is 1313.

The marble selections are independent and you can multiply the two probabilities to get the following:

probability of getting 2 reds = (13)2(13)2

=19=19.

So the probability of getting two reds is 1919.

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kupik [55]
Area = 1/2 * base * height 
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3 years ago
You start driving north for 16 miles, turn right, and drive east for another 30 miles. At the end of driving, what is your strai
Maru [420]

The distance between starting and ending point is 34 miles.

Step-by-step explanation:

Given,

Car moves 16 miles to north then 30 mile to east.

It forms a right angle triangle.

The straight line distance from starting to ending point represents hypotenuse.

To find the distance between starting and ending point.

Formula

By <em>Pythagoras theorem,</em>

h² = b²+l² where h is the hypotenuse, b is base and l is the another side.

Taking, b=16 and l=30 we get,

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or, h = \sqrt{256+900}

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Hence,

The distance between starting and ending point is 34 miles.

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3 years ago
the ratio of length and breadth of a piece of land is 5:3 and its breadth is 48m. find the perimeter and area of the land.
Marizza181 [45]

Answer:

256 m and 3840 m²

Step-by-step explanation:

The 3 part of the ratio represents 48 m , then

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Then breadth = 48 m and length = 80 m

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4 0
3 years ago
Are the lines 2y-10x=4 and y-2=5x parallel ??
aleksandrvk [35]
Well,

If the slope of the lines are the same, then the lines are parralel.

We need to manipulate 2y - 10x = 4 into y = mx + b form.

Add 10x to both sides
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Divide both sides by 2
y = 5x + 2

Do the same thing with the other equation.

Add 2 to both sides
y = 5x + 2

y = 5x + 2

It appears that, not only are they parallel, but they lie on exactly the same line! If this was a System of Simultaneous Linear Equations, then there would be an infinite number of solutions!<span />
5 0
3 years ago
Read 2 more answers
Find the function value of cos^2 (7pi/8)
Kamila [148]
\cos^2\dfrac{7\pi}8=\dfrac12\left(1+\cos\dfrac{7\pi}4\right)
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=\dfrac12+\dfrac1{2\sqrt2}
=\dfrac{\sqrt2+1}{2\sqrt2}
=\dfrac{2+\sqrt2}4
7 0
2 years ago
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