Solve for x. x/2≥−4<br> plz i need help!

PLEASE HELP! The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisi

Irina18 [472]

Answer:

Question 1: $P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16}}{ \frac{4}{16}} = \frac{1}{2}$

Question 2:

A. $P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}$

B. $P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}$

C. $P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}$

Step-by-step explanation:

Conditional probability is defined by

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

with P(A and B) beeing the probability of both events occurring simultaneously.

Question 1:

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

$P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16} }{ \frac{4}{16} } = \frac{1}{2}$

Question 2.A:

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

$P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}$

Question 2.B:

Z: Championships won by the 13 - 15 years old, beeing

$P ( Z)= \frac{ 1 }{ 16 }$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

then

P( Z and B)= \frac{ 1 }{ 16 }[/tex]

By definition,

$P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}$

Question 3.B

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

Z: Championships won by the 13 - 15 years old, beeing

$P ( Z)= \frac{ 1 }{ 16 }$

then

$P (Y or Z) = P(Y) + P(Z) = \frac{6}{16}$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

so

$P((YorZ) and B)= \frac{3}{16}$

By definition,

$P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}$

3 0

3 years ago

Is y=x+9 linear or is it not linear

avanturin [10]

Answer: It is linear. When a line is linear it just means it makes a straight line when you graph it. When it isn’t it will be curved or in some weird shape.

Step-by-step explanation:

3 0

3 years ago

Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play. Kenny buys 1 software package

GalinKa [24]

Answer:

The cost of one month of game play is $12.

Step-by-step explanation:

We are given the following in the question:

Cost of software package = $30

Let y dollars be the cost of one month of game play.

Angie buys 1 software package and 2 months of game play.

Angie's cost =

$1(30) + 2y = 2y + 30$

Kenny buys 1 software package and 4 months of game play.

Kenny's cost =

$1(30) + 4y = 4y + 30$

Total cost = $132

Thus, we can write the equation:

$(2y+30)+(4y+30) = 132\\6y + 60 = 132\\6y = 132-60\\6y = 72\\\Rightarrow y = 12$

Thus, the cost of one month of game play is $12.

7 0

3 years ago

A rectangle has a length of

cupoosta [38]

Answer:

Perimeter of the rectangle=16 x

Step-by-step explanation:

Step 1: Determine the dimensions of the rectangle

Width=x

Length=7 x

But;

Step 2: Determine the perimeter of the rectangle

P=2(L+W)

where;

P=perimeter

L=length

W=width

In our case;

P=unknown

W=x

L=7 x

replacing;

2(x+7 x)=2 x+14 x

16 x

Perimeter of the rectangle=16 x

5 0

3 years ago

Which of the following represents "the square of the sum of a number and 4 is 36"?

Sedbober [7]

Answer:

x^2+4 = 36

Step-by-step explanation:

the square of the sum of a number and 4

x^2+4

is means equals

x^2+4 = 36

8 0

3 years ago

Solve for x. x/2≥−4 plz i need help!