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3 years ago

What additional information is needed to prove that the triangles are congruent using the AAS

Mathematics

1 answer:

levacccp [35]3 years ago

3 0

Answer:

You don't need to know anything other than that two angles and a side are exactly the same.

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A statistics textbook chapter contains 60 exercises, 6 of which are essay questions. A student is assigned 10 problems. (a) What

Scilla [17]

Answer:

a) P=0.3174

b) P=0.4232

c) P=0.2594

d) The shape of the hypergeometric, in this case, is like a binomial with mean np=1.

Step-by-step explanation:

The appropiate distribution to model this is the hypergeometric distribution:

$P(X=x)=\frac{\binom{s}{x}\binom{N-s}{M-x}}{\binom{N}{M}}=\frac{\binom{6}{x}\binom{54}{10-x}}{\binom{60}{10}}$

a) What is the probability that none of the questions are essay?

$P(X=0)=\frac{\binom{6}{0}\binom{54}{10-0}}{\binom{60}{10}}\\\\P(X=0)=\frac{1*(54!/(10!*44!)}{60!/(10!*50!)} =\frac{2.3931*10^{10}}{7.5394*10^{10}} = 0.3174$

b) What is the probability that at least one is essay?

$P(X=1)=\frac{\binom{6}{1}\binom{54}{9}}{\binom{60}{10}}\\\\P(X=1)=\frac{6*(54!/(9!*43!)}{60!/(10!*50!)} =\frac{3.1908*10^{10}}{7.5394*10^{10}} =0.4232$

c) What is the probability that two or more are essay?

$P(X\geq2)=1-(P(0)+P(1))=1-(0.3174+0.4232)=1-0.7406=0.2594$

8 0

3 years ago

Please answer this question below.

Katarina [22]

In a theatre room, there are 4 rows of chairs. There are 4 columns of chairs. How many chairs are there in the theatre room?

4x4=16

There are 16 chairs in the theatre room.

5 0

3 years ago

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Simplify 3+7x-(2+9x)

viva [34]

Answer:

-2x + 1

Step-by-step explanation:

3 + 7x - (2 + 9x)

Distribute the negative:

3 + 7x - 2 - 9x

Combine like terms:

-2x + 1

8 0

3 years ago

The temperature at 10 AM is 12°F. The temperature at 6 AM was -7°F. How many degrees did the temperature rise?

KatRina [158]

Answer:

19 degrees more

Step-by-step explanation:

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3 years ago

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Anyone know how to find the constant of proportionality???!!!

dmitriy555 [2]

Answer:

You find the constant of proportionality by how much u need to add or subtract the same number to get the same answer and in a graph you need to see if the line goes through the origin (0,0).

Step-by-step explanation:

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2 years ago

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