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Mkey [24]
3 years ago
7

If a probability distribution is 5/12, 1/6, 1/3, x, what is the value of x

Mathematics
2 answers:
wolverine [178]3 years ago
5 0

The probabilities of all possible outcomes in a distribution must sum to 1.

\dfrac5{12}+\dfrac16+\dfrac13+x=1\implies x=\dfrac1{12}

mojhsa [17]3 years ago
4 0

Answer:

1/12 C

Step-by-step explanation:

5/12

1/6=2/12

1/3=4/12

5/12-3=2/12

2/12+2=4/12

4/12-3= 1/12

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Suppose you want to build a small walkway around your garden so that there is someplace to walk around and work on your vegetabl
wolverine [178]

Answer:

Approximately 3.5 feet - Option B

Step-by-step explanation:

Imagine that you have this walkway around the garden, with dimensions 30 by 20 feet. This walkway has a difference of x feet between it's length, and say the dimension 30 feet. In fact it has a difference of x along both dimensions - on either ends. Therefore, the increases length and width should be 30 + 2x, and 20 + 2x, which is with respect to an increases area of 1,000 square feet.

( 30 + 2x ) * ( 20 + 2x ) = 1000 - Expand "( 30 + 2x ) * ( 20 + 2x )"

600 + 100x + 4x^2 = 1000 - Subtract 1000 on either side, making on side = 0

4x^2 + 100x - 400 = 0 - Take the "quadratic equation formula"  

( Quadratic Equation is as follows ) - x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a},

x=\frac{-100+\sqrt{100^2-4\cdot \:4\left(-400\right)}}{2\cdot \:4}:\quad \frac{5\left(\sqrt{41}-5\right)}{2},

x=\frac{-100-\sqrt{100^2-4\cdot \:4\left(-400\right)}}{2\cdot \:4}:\quad -\frac{5\left(5+\sqrt{41}\right)}{2}

There can't be a negative width of the walkway, hence our solution should be ( in exact terms ) \frac{5\left(\sqrt{41}-5\right)}{2}. The approximated value however is 3.5081...or approximately 3.5 feet.

4 0
3 years ago
A pack of 6 batteries of the same type cost ?2.79 . By calculating the price per battery,determine if this is better value.You m
MissTica

Answer:

The full question is attached in the picture below.

The better price for the battery is given with the 6 pack.

(£ 0.47 per battery)

Step-by-step explanation:

If 8 batteries cost £ 3.99

This means that one battery is equal to

£3.99/8 = £ 0.49875 ≈ £ 0.50 per battery

The pack of 6 batteries costs £ 2.79

This means that one battery is equal to

£2.79/6 = £ 0.465 ≈ £ 0.47 per battery

Then, we can conclude than the 6 pack gives us a better price per battery

7 0
3 years ago
I really need this answer
otez555 [7]

Answer:

D

Step-by-step explanation:

If the lines are parallel, the slope of both of them are going to be the same. So if one line is 3, the other one will be too.

6 0
3 years ago
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Idk sorry hope u find the answer
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