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Eddi Din [679]
3 years ago
7

-1/2 divided by -1 3/8

Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

Answer:8/10

Step-by-step explanation:

-1/2 ➗ -1 3/8

-1/2 ➗ -5/8

-1/2 x -8/5

(-1 x -8)/(2 x 5)

8/10

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Find the probability of being dealt a full house. (Round your answer to six decimal places.)?
vesna_86 [32]

I'm assuming a 5-card hand being dealt from a standard 52-card deck, and that there are no wild cards.

A full house is made up of a 3-of-a-kind and a 2-pair, both of different values since a 5-of-a-kind is impossible without wild cards.

Suppose we fix both card values, say aces and 2s. We get a full house if we are dealt 2 aces and 3 2s, or 3 aces and 2 2s.

The number of ways of drawing 2 aces and 3 2s is

\dbinom42\dbinom43=24

and the number of ways of drawing 3 aces and 2 2s is the same,

\dbinom43\dbinom42=24

so that for any two card values involved, there are 2*24 = 48 ways of getting a full house.

Now, count how many ways there are of doing this for any two choices of card value. Of 13 possible values, we are picking 2, so the total number of ways of getting a full house for any 2 values is

2\dbinom{13}2\dbinom42\dbinom43=3744

The total number of hands that can be drawn is

\dbinom{52}5=2,598,960

Then the probability of getting a full house is

\dfrac{2\binom{13}2\binom42\binom43}{\binom{52}5}=\dfrac6{4165}\approx\boxed{0.001441}

4 0
3 years ago
if j is 21 inches, k is 12 inches, and angle M measures 62 degrees, then find m using the Law is Cosines. round your answer to t
AURORKA [14]

Answer:

18.7

Step-by-step explanation:

The Law of Cosines is c^2=a^2+b^2-2ab cos(C), where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

m^2=21^2+12^2-2(21)(12) cos(62)

Simplify:

m^2=441+144-504 cos(62)

m^2=585-504 cos(62)

m=\sqrt{585-504cos(62)}

m≈18.665...

When rounded to the nearest tenth, m=18.7

6 0
3 years ago
Find the area of the trapezoid
Sergeeva-Olga [200]

Answer:

44

Step-by-step explanation:

Formula

\frac{1}{2}  \times h \times (sum \: of \: parallel \: sides(b1 + b2))

Your scale is 2cm to 2units therefore the parameters are as follows

h=4

b1=9

b2=13

\frac{1}{2}  \times 4 \times (9 + 13)

\frac{1}{2}  \times 4 \times 22

\frac{1}{2}  \times 88

\frac{88}{2}  \\  = 44

6 0
3 years ago
Define the polynomial by the number of terms.
Lera25 [3.4K]
If the number of terms is one then it is called a mono-nomial
if number of terms is two then it is called binomial.
if the number of terms is three or more than three then it is called poly-nomial.
3 0
3 years ago
the local high school has 19 honored students for every 81 non-honored students if there are 750 students in the school how many
aliina [53]

I got 176 I sad 750÷19 = 176

4 0
3 years ago
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