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3 years ago

What is the ratio of 6 apples and 2 oranges in simplest form?

Mathematics

2 answers:

Virty [35]3 years ago

5 0

Answer:

apples to oranges: 6:2, or 3:1.

Step-by-step explanation:

abruzzese [7]3 years ago

3 0

3 apples to 1 orange i believe

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"the life length x (in years) of a dvd player" is exponentially distributed with mean 5 years. what is the probability that a mo

loris [4]

The exponential distribution is:
$\lambda e^{- \lambda x}$
where $\lambda = \frac{1}{mean}=\frac{1}{5}$

The probability we want is how likely will a dvd player last more than 8 years, given it has already lasted 5 years
To find this, you use conditional probability.
$P(A|B) = \frac{P(A and B)}{P(B)}$
where A is P(x>8) and B is P(x>5)
To find these probabilities, integrate over the distribution:
$P(x \ \textgreater \ N) = \int_N^{\infty} \frac{1}{5} e^{-x/5} dx = e^{-N/5}$

Sub into conditional probability formula:

$P(x \ \textgreater \ 8 | x\ \textgreater \ 5) = \frac{P(x\ \textgreater \ 8)}{P(x\ \textgreater \ 5)} = \frac{e^{-8/5}}{e^{-5/5}} = e^{-3/5} = 0.549$

Final Answer: Given a dvd player is more than 5 years old, the probability that it will last another 3 more years is about 54.9%

3 0

3 years ago

Chips numbered 1 through 80 are shuffled in a basket. One chip is randomly selected.

meriva

1/16

multiples 15,30,45,60, and 75 making 5/80 then you simplify to 1/16

8 0

3 years ago

Read 2 more answers

1000 i neye bölersek 100 kalır acil!!!!!!!

Aneli [31]

Answer:

I think your answer is 10

Step-by-step explanation:

4 0

2 years ago

Determine the roots of f(x) = -12-2.1x+18x^2-2.75x^3 graphically. in addition, determine the first root of the function with

vesna_86 [32]

The given function is that is a cubic polynomial

$f(x)=-12-2.1x+18x^2-2.75x^3$

when arranged in descending order that is from highest degree to lowest degree

$f(x)=-2.75x^3+18x^2-2.1x-12$

Since it is a three degree polynomial it has three roots.

According to rational root theorem , the possible roots of the above expression that is factors of $\frac{12}{2.75}$ = $\frac{48}{11}$ are $\pm1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24, \pm 48, \pm\frac{1}{11}, \pm\frac{2}{11}, \pm\frac{3}{11}\pm\frac{4}{11}\pm\frac{6}{11},\pm\frac{8}{11},\pm\frac{12}{11}, \pm\frac{24}{11},\pm\frac{48}{11}$

As you can see from the graph all roots of this polynomial are real.

The smallest positive root is 0.954 and smallest negative root are -0.724.

4 0

2 years ago

.A ladder is leaning against a wall. The top of the ladder is 4 feet above the ground

Scorpion4ik [409]

Step-by-step explanation:

The ladder forms a triangle with the wall and ground.

The side of the triangle opposite of the 60° angle is 4 feet.

To find the length of the ladder (the hypotenuse), use sine.

sine = opposite / hypotenuse

sin 60° = 4 / L

L = 4 / sin 60°

L = 4 / (√3 / 2)

L = 8 / √3

L = 8√3 / 3

L ≈ 4.619 feet

To find the distance from the wall, use tangent.

tangent = opposite / adjacent

tan 60° = 4 / x

x = 4 / tan 60°

x = 4 / √3

x = 4√3 / 3

x ≈ 2.309 feet

8 0

3 years ago