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ValentinkaMS [17]
3 years ago
6

A financial analyst has determined that there is a 23 % probability that a mutual fund will outperform the market over a 1 -year

period, provided that it outperforms the market the previous year. If only 12 % of mutual funds outperform the market during any year, what is the probability that a mutual fund will outperform the market 2 years in a row?
Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0

Answer:

23%

Step-by-step explanation:

If in any year there is a 12% chance that a mutual fund will outperform the market, that is in a mutually exclusive situation where the previous years performance is not considered. In this situation where trying to calculate the probability of a mutual fund outperforming the market 2 years in a row, the answer will be 23% as according to the calculations done by the financial analyst where the probability is calculated in a situation dependent on the previous years performance.

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2 Sequoya has- of a liter of apple juice which fills of her glass. How many glasses will 1 liter of apple juice fill? 3 4/6 4/3
Softa [21]

We have

1/2 liter apple juice ---- 1/3 of her glass

1-liter apple juice --- x

x is the number of glass filled with 1 liter

x=\frac{\frac{1}{3}}{\frac{1}{2}}=\frac{2}{3}

we can obtain equivalent fractions like

\frac{2}{3}=\frac{4}{6}

the answers are 2/3 and 4/6

6 0
1 year ago
A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a
Gala2k [10]

Answer:

2 meters.

Step-by-step explanation:

We know that a cube of sidelength L has a volume:

V = L^3

Here, we know that the volume of water that the cube can hold is:

(1000/125) m^3

Then the volume of our cube is exactly that:

V = (1000/125) m^3

Then we have the equation:

L^3 = (1000/125) m^3

Which we can solve for L

L = ∛((1000/125) m^3 ) = (∛1000/∛125) m

Where we used that:

∛(a/b) = ∛a/∛b

Solving the cubic roots, we get:

L = (10/5) m = 2m

The length of the side of the water tank is 2 meters.

4 0
3 years ago
Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ
kicyunya [14]
Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides. 
6 0
3 years ago
Read 2 more answers
If there are 17 green marbles in a jar of 65 marbles, what is the probability of drawing 2 green marbles at random without repla
erastovalidia [21]

Answer:

Option b) \frac{17}{260}

Step-by-step explanation:

We are given the following information in the question:

Total number of marbles = 65

Number of green marbles = 17

We have to find the probability of drawing 2 green marbles at random without replacement.

Formula:

Probability = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

\text{P(Drawing 2 green marbles at random without replacement)} = \\\text{Probability of drawing }1^{st} \text{ green marble}\times \text{Probability of drawing }2^{nd} \text{ green marble}

\text{Probability of drawing }1^{st} \text{ green marble} = \displaystyle\frac{17}{65}\\\\\text{Probability of drawing }2^{nd} \text{ green marble} = \displaystyle\frac{16}{64}

\text{P(Drawing 2 green marbles at random without replacement)} =\displaystyle\frac{17}{65}\times \frac{16}{64}=\frac{17}{260}

Option b) \frac{17}{260}

5 0
3 years ago
A pitcher holds two gallons if nine people share it equally how much do they get .
astraxan [27]
Is simply the quotient from 2 ÷ 9, so each one gets 2/9 of a gallon, which is about 57 ounces of lemonade, assuming it has lemonade.
7 0
3 years ago
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