To find a missing side of a right triangle use the Pythagorean theorem
A2+b2=c2
C is the hypotenuse (long side)
Plug into the equation
11^2+b2=12^2
121+b2=144
So subtract 144-121 to get the missing side you get 23
Take the square root
It will be 4.7
If they want it rounded
X=5
If I had any mistakes in my answer I am sorry but everything should be correct

3 0

3 years ago

How do I do this <br> X+y=-4<br> 3x-6y=15

avanturin [10]

Answer:

x=-1, y=-3. (-1, -3).

Step-by-step explanation:

x+y=-4

3x-6y=15

---------------

x=-4-y

3(-4-y)-6y=15

-12-3y-6y=15

-12-9y=15

9y=-12-15

9y=-27

y=-27/9

y=-3

x+(-3)=-4

x-3=-4

x=-4+3

x=-1

8 0

3 years ago

2.24 Exit poll: Edison Research gathered exit poll results from several sources for the Wisconsin recall election of Scott Walke

iVinArrow [24]

Answer:

0.4929 = 49.29% probability that he voted in favor of Scott Walker

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Having a college degree.

Event B: Voting for Scott Walker.

They found that 57% of the respondents voted in favor of Scott Walker.

This means that $P(B) = 0.57$

Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree

This means that $P(A|B) = 0.33$

Probability of having a college degree.

33% of those who voted for Scott Walker(57%).

45% of those who voted against Scott Walker(100 - 57 = 43%). So

$P(A) = 0.33*0.57 + 0.45*0.43 = 0.3816$

What is the probability that he voted in favor of Scott Walker?

$P(B|A) = \frac{0.57*0.33}{0.3816} = 0.4929$

0.4929 = 49.29% probability that he voted in favor of Scott Walker

3 0

3 years ago