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3 years ago

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Mathematics

1 answer:

Sindrei [870]3 years ago

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Answer:

Step-by-step explanation:

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Determine which postulate or theorem can be used to prove that

EleoNora [17]

Answer:

$\triangle ABC \cong \triangle DCB$ by <u>AAS</u>

Step-by-step explanation:

According to the following two triangles, $\triangle ABC$ and $\triangle DCB$ are congruent by <u>Angle-Angle-Side</u> (AAS), because there are two angles shown and share a side, which is in the middle between triangles.

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4 years ago

A disjunction is a statement formed by combining two statements with the word and. True False

Zarrin [17]

A disjunction is a statement formed by combining two statements with the word and is FALSE.

Answer: B) False or the second option.

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3 years ago

Which pair of angles are supplmentary?

olga55 [171]

Answer:

1+2, 1+4, 2+1, 2+3, 3+2, 3+4, 4+1, 4+3, 5+6, 5+8, 6+5, 6+7, 7+8, 7+6, 8+5, 8+7

Step-by-step explanation:

To be supplementary is to be equal to 180 degrees.

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4 years ago

Read 2 more answers

An instructor who taught two sections of statistics last term, the first with 20 students and the second with 30, decided to ass

padilas [110]

Answer:

0.207 = 20.7% probability that exactly 10 of these are from the second section

Step-by-step explanation:

The students are chosen without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

20 + 30 = 50 total students, which means that $N = 50$

30 students from the second section, which means that $k = 30$

First 15 graded projects, so sample of 15, which means that $n = 15$

a. What is the probability that exactly 10 of these are from the second section

This is P(X = 10).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 10) = h(10,50,15,30) = \frac{C_{30,10}*C_{20,5}}{C_{50,15}} = 0.207$

0.207 = 20.7% probability that exactly 10 of these are from the second section

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3 years ago

Write an equation to represent the function in the table shown.

Alisiya [41]

It would be y=1/2x-3. You can plug in some numbers to see it. Like, plug in 8. Half of 8 is 4, and 4-3=1. Plug in 12. Half of 12 is 6, and 6-3=3. I hope that helps! :)

3 0

3 years ago