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3 years ago

Please help Fill in the missing reasons in the proof

Mathematics

2 answers:

Irina-Kira [14]3 years ago

4 0

I'm not a whiz at proofs but I think I know the answers.

A. Given
B. Alternate Interior Angles Theorem
C. Transitive Property of Equality
D. AAS Postulate

Sliva [168]3 years ago

3 0

A. Given
B. Alternate interior angle theorem
C. Reflexive property
D. SAS

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Y= 10x - 32 what is the x and y value of this equation

Marrrta [24]

Answer:

$y=10x-32 \\ \\ x=\frac{y}{10}+3.2$

Step-by-step explanation:

$y=10x-32$

Because that's the equation given.

To solve for x, isolate the variable and then divide by the coefficient.

$y=10x-32 \\ \\ 10x=y+32 \\ \\ x=\frac{y}{10}+\frac{32}{10} \\ \\ x=\frac{y}{10}+3.2$

7 0

3 years ago

In a certain year, the U.S. Senate was made up of 53 Democrats, 45 Republicans, and 2 Independents who caucus with the Democrats

babunello [35]

Answer:

There is a 47.50% probability that the chosen senator is a Democrat.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula:

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In your problem we have that:

A(what happened) is the probability of a gun owner being chosen:

There are 100 people in the survay(53 Democrats, 45 Republicans ans 2 Independents), and 40 of them have guns(19 Democrats, 21 Republicans). So, the probability of a gun owner being chosen is:

$P(A) = \frac{40}{100} = 0.4$

$P(A/B)$ is the probability of a senator owning a gun, given that he is a Democrat. 19 of 53 Democrats own guns, so the probability of a democrat owning a gun is:

$P(A/B) = \frac{19}{53} = 0.3585$

$P(B)$ is the probability that the chosen senators is a Democrat. There are 100 total senators, 53 of which are Democrats, so:

$P(B) = \frac{53}{100} = 0.53$

If a senator participating in that survey was picked at random and turned out to be a gun owner, what was the probability that he or she was a Democrat?

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{(0.53)*(0.3585)}{(0.40)} = 0.4750$

There is a 47.50% probability that the chosen senator is a Democrat.

7 0

3 years ago

HELP ASAP ILL FRIEND U

Andrei [34K]

Answer:

Undefined

Step-by-step explanation:

I did the quiz.

8 0

3 years ago

Which statement is true about the two skiers?

vesna_86 [32]

Answer:

third one

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

"if one of the 255 subjects is randomly selected, find the probability that the person is over 40 years of age or that they drin

scoray [572]

the picture in the attached figure

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

P=size of the event space/size of the sample space

step 1

find the probability that the person is over 40 years

size of the sample size=255

size of the event space=85

P=85/255------> P=1/3

step 2

find the probability that they drink root beer

size of the sample size=255

size of the event space=75

P=75/255------> P=5/17

step 3

find the probability that the person is over 40 years of age or that they drink root beer

P=(1/3)+(5/17)-----> P=(17*1+3*5)/51------> P=32/51-----> 0.6275----> 62.75%

therefore

the answer is

32/51 or 62.75%

7 0

3 years ago

Read 2 more answers