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Genrish500 [490]
2 years ago
15

Hi, have a good day!

Mathematics
2 answers:
Zinaida [17]2 years ago
3 0
Thank.........you......so.........much.....
Orlov [11]2 years ago
3 0
Lol hey thank for the pts
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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
PLS HELP ME ASAP FOR 8 (SHOW WORK!)
lys-0071 [83]
11 won                              x   
__________                _____
18 total games                162 games per season 
muliply 11*162 =1782
then divide 1782/18
X=99 
8 0
3 years ago
Solve the system by elimination: <br> -2x + 2y + 3z = 0<br> -2x - y + z = -3 <br> 2x+ 3y + 3z = 5
Greeley [361]
First= -2x+2y+3z=0

= -2x+2y+3z +-2y=0+(-2y)

-2x+3z=-2y

-2x+3z=-2y+-3z

-2x=-2y-3z

Divide both by negative two
-2x/-2=-2y-3z/-2

x=y+3/2z that’s the answer.


Use this to help you with other equations

3 0
3 years ago
Dividing a Fraction into Equal Groups
Sergeu [11.5K]

Answer:

Each hiker carried the backpack for 1/5 of the total trail distance

Step-by-step explanation:

Three members of a teen hiking group hiked 3/5  of the entire Appalachian trail, each teen carried the backpack the same distance

=>  each teen carried the backpack for = (1/3) (3/5)  of total Distance = 1/5  

3 0
2 years ago
Find the point, M, that is two-sevenths of the distance from A(-9, 2) to B(-2, -12).
Softa [21]
(2B +5A)/7 = (2(-2, -12) +5(-9, 2))/7 = (-4-45, -24+10)/7 = (-7, -2)


Selection B is appropriate.
3 0
3 years ago
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