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Dimas [21]
3 years ago
8

Assume that you randomly select 6 cards from a deck of 52. what is the probability that all of the cards selected are hearts?

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0
There are 13 hearts in a 52 deck.

You can think about it like this:

P = (13/52)*(12/51)*(11/50)*(10/49)*(9/48)*(8/47) = 0.00008428903476

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If one pound is $4.40 how much is 3/8's of a pound?
baherus [9]

Answer:

1.65

Step-by-step explanation:

you said one pound is $4.40

and that how much is 3/8 of a pound

so 3/8 multiplied by 4.40

8 0
2 years ago
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Explain how showing fractions with models in a number line are alike and different.
zhenek [66]
Showing fractions with models is giving a visual and sometimes can be easier to process.They also can be in picture form or other.Ex. A piece of pizza cut into fourths.

Showing fractions on a number line is also giving a visual but still allows you to add and subtract using numbers if that makes sense.Ex.
. ----.-------.
1/3  2/3    3/3
3 0
3 years ago
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Solve this system algebraically.
seraphim [82]
From y-2x+3=0 we have y=2x-3
So we can replace y by 2x-3 in the equation: 9x+2y=5
And we have 9x+2(2x-3)=5
Or 9x+4x-6=5
and 13x=5+6
Or x=11/13, then y=2x-3= 2. 11/13-3=22/13-3= -17/13

So we have the answer <span>{(11/13, -17/13)}</span>
4 0
3 years ago
A portfolio is efficient if which of the following is true?
fgiga [73]

Answer:

In economics, a portfolio is a term for a specific set of stocks, bonds, shares, and other securities owned by an investor. In general, the investor seeks to compile and diversify a portfolio of securities that offers maximum profitability and at the same time is diverse, in order to minimize possible risks. In general, these types of portfolios are considered efficient, as they do not leave the investment risk tied to a single factor. However, these two goals often go against each other, so the composition of the portfolio means a certain compromise.

8 0
2 years ago
What is the volume of the right triangular prism shown?
ollegr [7]

<u>Given</u>:

The sides of the base of the triangle are 8, 15 and 17.

The height of the prism is 15 units.

We need to determine the volume of the right triangular prism.

<u>Area of the base of the triangle:</u>

The area of the base of the triangle can be determined using the Heron's formula.

S=\frac{a+b+c}{2}

Substituting a = 8, b = 15 and c = 17. Thus, we have;

S=\frac{8+15+17}{2}

S=\frac{40}{2}=20

Using Heron's formula, we have;

Area = \sqrt{S(S-a)(S-b)(S-c)}

Area = \sqrt{20(20-8)(20-15)(20-17)}

Area = \sqrt{20(12)(5)(3)}

Area = \sqrt{3600}

Area = 36

Thus, the area of the base of the right triangular prism is 36 square units.

<u>Volume of the right triangular prism:</u>

The volume of the right triangular prism can be determined using the formula,

V=\frac{1}{2}A_b h

where A_b is the area of the base of the prism and h is the height of the prism.

Substituting the values, we have;

V=\frac{1}{2}(60\times 15)

V=450

Thus, the volume of the right triangular prism is 450 cubic units.

8 0
3 years ago
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