The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisions organized by age groups. If the winner is in Baseball League, find the probability that the winning team is in either the Ages 10 - 12 division or the Ages 13 - 15 division. Answer in terms of a reduced fraction. A= p(y|b)= A0 B= p(z|b)= A1 C= p(y or z |b)= A2

The Table Shows The Number Of Championships Won By The Baseball And Softball Leagues Of Three Youth Baseball

Answers

Answer 1

Answer:

0.5 or 50%

Step-by-step explanation:

Total number of championships won = 3+2+1+7+2+1=16Total Number of winners in baseball league, n(B)= 3+2+1=6Number of Wins in the Ages 10 - 12 division, n(Y) =2Number of Wins in the Ages 13-15 division, n(Z) =1

The probability that the winning team is in the Ages 10 - 12 division given that it is in the baseball league:

[tex]P(Y|B)=\dfrac{P(Y \cap B)}{P(B)} \\=\dfrac{2/16}{6/16}\\=\dfrac{2}{6}[/tex]

The probability that the winning team is in the Ages 13 - 15 division given that it is in the baseball league:

[tex]P(Z|B)=\dfrac{P(Z \cap B)}{P(B)} \\=\dfrac{1/16}{6/16}\\=\dfrac{1}{6}[/tex]

Therefore:

[tex]P(Y$ or $Z|B)=\dfrac{2}{6}+\dfrac{1}{6}\\=\dfrac{3}{6}\\\\=0.5[/tex]


Related Questions

When a certain number is subtracted from 10 and the result is multiplied by 2, the final result is 4. Find the number.

Answers

Answer:

8

Step-by-step explanation:

10-8 x 2 = 4

2 x 2 = 4

4 = 4

The number is 8, which is when subtracted from 10 and the result is multiplied by 2, then the result is 4.

What is Simplification?

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Let the required number is x.

According to given condition,

When x is subtracted from 10 and the result is multiplied by 2, final result comes as 4.

Implies that,

2 (10 - x) = 4

10 - x = 2

x = 10 - 2

x = 8

The required number is 8.

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HELP PLZZZZZZZZZZZ!!!!!!!

Answers

Answer:

A) 21/20

Step-by-step explanation:

Tangent = Opposite/Adjacent

21/20

Tan= Opposite/ adjacent

which of the following represents the factorization of the trinomial below? x^2+9x-22

Answers

Answer:

(x+11)(x-2)

Step-by-step explanation:

To factorise: x^2+9x-22

You must first divide the centre term in such a way that the sum of the 2 values will be divisible by x squared and minus 22 respectively.

So x^2+9x-22 = x^2 -2x + 11x - 22.

Now factorize x^2 - 2x and 11x-22 individually.

x^2 - 2x = x(x-2)

11x - 22 = 11(x-2)

Since these both have the same value in the brackets, use 5at one of the brackets and the other is the combination of them together:

(x+11)(x-2)

Hope this helps

Answer: (x + 11)(x - 2)

Step-by-step explanation: Since the constant term is negative, it can be factored as a positive times a negative.

Before we do that however, an x will go in the first position

of each binomial because x² breaks down into x · x.

Remember, the factors of the constant term

must add to the coefficient of the middle term.

So let's list out the factors of -22.

Factors of -22

+22 · -1

-22 · +1

+11 · -2

-11 · +2

Looking at the list above, that pair

of factors that add 9 is +11 and -2.

So our answer therefore is (x + 11)(x - 2).

Note that if you wrote your answer

as (x - 2)(x + 11), it means the same thing.

what is the simplified value of 1/3 divied by 2/3

Answers

Answer:

1/2 or 0.5

Step-by-step explanation:

1/3 divided by 2/3

1/3 times 3/2

3/6

1/2, or 0.5

Answer:

1/2

Step-by-step explanation:

1/3 ÷2/3= 1/3×3/2( this is because fractions cannot be divided and the reciprocal of the fraction by which 1/3 had to be divided has to be taken which makes 2/3 as 3/2 and division as multiplication)

so, 1/3×3/2 gives 3/6, when simplified, gives 1/2.

Which of the system(s) below works best to solve by elimination? Why? System 1 : 3m+n=71 2m-n=30
System 2 : 4x+y=1 y=-2x+9
System 3 : 5x+4y=15 5x + 11y=22

Answers

Answer:

first option is easiest since it involves just adding both equations term by term.

3m+n=71

2m-n=30

Step-by-step explanation:

The first system looks like the easiest one, because the two equations are listed already in standard form, and the variable "n" appears as positive "n" in the first equation, and as its opposite "-n" in the second equation. Therefore the elimination method works directly by adding both equations term by term (thus cancelling out completely one of the variables in the resultant/combined equation.

Please Answer Now Identify the function’s vertical asymptotes. h(x)=x-4/x^2-4 x = 2 x = 4 x = -2, x = 2 x = -4, x = 4

Answers

Answer:

x = 2 and x = +2

Step-by-step explanation:

It's essential that you use parentheses to clarify what's happening here:

h(x)=x-4/x^2-4  =>  h(x)=(x-4) / (x^2-4)

We have vertical asymptotes at x values at which the denominator (x^2 - 4) is zero.  That would be x = 2 and x = +2.

PLVHGCHVBJGUYFTDCGVHJGYUJH

Answers

Answer:

The correct option is (B).

Step-by-step explanation:

The conditional probability of an event, say A is the probability of that events (A) when it is known that another event, say X has already occurred.

For example, consider the experiment of drawing two marbles from jar consisting of 8 white and 2 red, without replacement. The probability of selecting a red marble after a white marble is known as conditional probability.

In this case it is provided that:

40% of the students are licensed drivers55% students are female.

The statement:

"the probability that a student who is a licensed driver is a male"

Is a statement of conditional probability.

This is because it is known from previous information that the student is a licensed driver and we need to determine the probability of this student being a male.

Thus, the correct option is (B).

There are eight marbles in a bag. Four marbles are blue (B), two marbles are red (R) and two marbles are green (G) Steve takes a marble at random from the bag. What is the probability that Steve will take a blue marble.

Answers

Answer:

1/2

Step-by-step explanation:

There are 8 marbles in total and 4 are blue, so 4/8 are blue. Then simplify 4/8 and you will get 1/2.

Answer:

1/2 or 50%

Step-by-step explanation:

Blue= 4, Red= 2, Green= 2

Total marbles= 8

P(B)= 4/8= 1/2 or 50%

Which set of algebra tiles represents the sentence below? Ada drove 2 fewer miles today than she drove yesterday. 2 boxes contain negative x and 1 box contains a plus sign. 1 box contains x and 2 boxes contain a minus sign. 1 box contains negative x and 2 boxes contain plus signs. 2 boxes contain x and 1 box contains a minus sign.

Answers

Answer:

The correct option is;

1 box contains x and 2 boxes contain minus sign

Step-by-step explanation:

Algebra tiles are used in teaching students algebraic concepts. The unit (small) tile represents the number one. The rectangular tile represents the variable x and the large square tile represents x²

The parameters given are;

Ada drove 2 fewer miles today than she drove yesterday, therefore;

Let X = number of miles Ada drove yesterday

We have number of miles Ada drove today = X - 2

Therefore, the correct option is 1 box contains x and 2 boxes contain minus sign

Answer:

its b

Step-by-step

i got it right on my test

make x subject of m =n + x/p

Answers

Answer:

[tex]x = p(m-n)[/tex]

Step-by-step explanation:

m = n + [tex]\frac{x}{p}[/tex]

Subtracting n to both sides

=> m-n = [tex]\frac{x}{p}[/tex]

Multiplying p to both sides

=> [tex]x = p(m-n)[/tex]

Answer:

x=p(m-n)

Step-by-step explanation:

m =n + x/p

x/p=m-n

x=p(m-n)

The length of the base of a right-angled triangle ABC is 6 centimeters and the length of the hypotenuse is 10 centimeters. Find the area of the triangle.

Answers

Answer:

24

Step-by-step explanation:

Ok, so we see that we have 6 as a leg of the right triangle and 10 as the hypotenuse.  As we look closer, we can tell that this makes the Pythagorean triple 6, 8, 10.  6, 8, 10 is just the Pythagorean triple 3, 4, 5 but it is multiplied by 2.  So now that we know both the legs of this right triangle, we can use the area of a triangle formula (bh)/2.  6*8=48 and 48/2 = 24 which gives us our answer.

Please please help me. I'll give you the BRAINLIEST if correct! Given the equation A=250(1.1)^t, you can determine that the interest is compounded annually and the interest rate is 10%. Suppose the interest rate were to change to being compounded quarterly. Rewrite the equation to find the new interest rate that would keep A and P the same. What is the approximate new interest rate? Convert your answer to a percentage, round it to the nearest tenth, and enter it in the space provided, like this: 42.53%

Answers

Answer:

A=250(1+2.5)^4/12

Step-by-step explanation:

A=250(1+0.1)^t

compounded  quarterly : divide the annual by 4 : 0.1/4=0.025 or 2.5%

2.5% every  3 month (quarterly), t=4/12 (quarterly)

the equation will be :

A=P(1+r/n)^t (p is the principal),r is the rate, n is the number of compounding , t is the time.

i hope it works, just try it

A=250(1+2.5)^4/12

Answer:

hi skkedklsk sn1. soosis

solve for x 42=7(x+5)

Answers

Answer:

42=7(x+5)

42=7x+35

42-35=7x

7=7x

X=7/7=1

You have a wire that is 50 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum

Answers

Answer:

88.6647727273 cm²

Step-by-step explanation :

The perimeter of the square =(50/2)

                                               = 25 cm

∴ Side of the square = (25/4)

                                    = 6.25 cm

∴ Area of of the square = (6.25)²

                                        = 39.0625 cm²

The circumference of the circle =(50/2)

                                            = 25 cm

∴ 2πr = 25

⇒ r = 25/(22/7)(2)

Area of the circle = (22/7) { 25/(22/7)2} {25/(22/7)2}

                             = (25×25×7) / (2×2×22)

                             = 4365/88

                             = 49.6022727273 cm²

∴ Total area of the circle and the square =(49.6022727273+39.0625000000)

= 88.6647727273 cm²

Hope it helped

If yes mark BRAINLIEST!

If f(x) = 3 – 2x and g (x) = StartFraction 1 Over x + 5 EndFraction, what is the value of (StartFraction f Over g EndFraction) (8)?

Answers

f(x) = 3 - 2x

[tex]g(x) = \frac{1}{x + 5}[/tex]

[tex](\frac{f}{g}(8) = \frac{3-2x}{\frac{1}{x+5}}[/tex]

[tex](\frac{f}{g}(8) = (3 - 2x).(x + 5)[/tex]

[tex](\frac{f}{g}(8) = 3.x + 3.5 - 2x.x - 2x.5 = 3x + 15 - 2x^2 - 10x[/tex]

[tex](\frac{f}{g}(8) = -2.8^2 - 7.8 + 15 = -2.64 - 56 + 15 = -169[/tex]

Answer:

A. -169

Step-by-step explanation:

e2021

pleaseee help me w dis asap!!

Answers

Answer:

x=2 f(x)=5-x

o≤x≤3  f(x)=x

2<x<3 f(x)=1

3<x≤5  f(x)=5-x

Step-by-step explanation:

A True/False quiz has three questions. When guessing, the probability of getting a question correct is the same as the probability of getting a question wrong. What is the probability that a student that guesses gets at least 2 questions correct

Answers

Answer:

1/4 or 25% chance

Step-by-step explanation:

the probability of getting each question right is 1/2, so for getting 2 questions right its 1/2 × 1/2, which is 1/4

The probability that a student that guesses gets at least 2 questions correct is 1/4.

Given

The probability of getting a question correct is the same as the probability of getting a question wrong.

The probability of getting the question is correct is;

[tex]= \dfrac{1}{2}[/tex]

The probability of getting the question is wrong is;

[tex]= \dfrac{1}{2}[/tex]

Therefore,

The probability that a student that guesses gets at least 2 questions correct is;

[tex]= \dfrac{1}{2} \times \dfrac{1}{2}\\\\= \dfrac{1}{4}[/tex]

Hence, the probability that a student that guesses gets at least 2 questions correct is 1/4.

To know more about Probability click the link given below.

https://brainly.com/question/795909

find 1st, 2nd, 3rd, 4th and 10th nTh term. rule is 3n+4

Answers

Answer:

When n is 1

3n+4

=3*1+4

=3+4

=7

When n is 2

3n+4

=3*2+4

=6+4

=10

When n is 3

3n+4

=3*3+4

=9+4

=13

When n is 4

3n +4

=3*4+4

=12+4

=16

When n is 10

3n+4

=3*10+4

=30+4

34

Find the probability of rolling a sum of 10 or a sum that is an odd number when two number cubes are rolled.

Answers

Answer:

7/12 chance

Step-by-step explanation:

(1 2 3 4 5 6)

(1 2 3 4 5 6)

All the possibilities:

(1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)

(1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)

(1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)

(1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)

(1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)

(1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)

There are 18 odd sums.

(1, 1) (2, 1) (3, 1) (4, 1) (5, 1) (6, 1)

(1, 2) (2, 2) (3, 2) (4, 2) (5, 2) (6, 2)

(1, 3) (2, 3) (3, 3) (4, 3) (5, 3) (6, 3)

(1, 4) (2, 4) (3, 4) (4, 4) (5, 4) (6, 4)

(1, 5) (2, 5) (3, 5) (4, 5) (5, 5) (6, 5)

(1, 6) (2, 6) (3, 6) (4, 6) (5, 6) (6, 6)

There are 3 possibilities whose sums add up to 10.

Since there are 36 total possibilities and 21 numbers that fit the rule of having an odd sum or a sum of 10. There is a 21/36 chance or simplified, 7/12 chance.

The graph of the function f(x)=-(x+3)(x-1) is shown below. What is true about the domain and range of the function?

Answers

Answer:

The 3rd one is correct.

Step-by-step explanation:

Tanya wants to order 50 pizzas for a party. However, the pizza supplier can deliver only 45 pizzas on the given date. How will you describe the relationship between demand and supply of pizzas? A. Demand is equal to supply. B. Demand is greater than supply. C. Demand is less than supply.

Answers

Answer:

B

Step-by-step explanation:

The demand is 50 and the supply is 45. Since 50 > 45 the answer is that the demand is greater than the supply.

Answer:

b

Step-by-step explanation:

On line A, each time x increases by 1 y increases by A) .5 B) 1 C) 1.5 D) 2

Answers

Answer:

b

Step-by-step explanation:

5/8 divided by 4/5 plssss

Answers

Answer:

The correct answer is 25/32

Step-by-step explanation:

Let's recall that the division of two fractions is the same as multiplying the first fraction by the inverse or reciprocal of the second fraction. We get the reciprocal of a fraction by interchanging its numerator and denominator.

Upon saying that, we have:

5/8 ÷ 4/5 =

5/8 * 5/4 = (We use the inverse and not it is a multiplication)

25/32

The correct answer is 25/32

Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of elevation 300 . When he moved 10 m towards the flag post the angle of elevation of the top of the flagpole increased to 450. What is the height of the flag pole?

Answers

Answer:

[tex]h = 15.163\ meters[/tex]

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

[tex]tan(30) = (h - 1.5) / x[/tex]

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

[tex]tan(45) = (h - 1.5) / (x - 10)[/tex]

So rewriting both equations using the tangents values, we have that:

[tex]0.5774 = (h - 1.5) / x[/tex]

[tex]1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)[/tex]

From the first equation, we have that:

[tex]x = (h - 1.5) / 0.5774[/tex]

Using this value of x in the second equation, we have that:

[tex]h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10[/tex]

[tex]h + 8.5 = \frac{ (h - 1.5) }{0.5774}[/tex]

[tex]0.5774h + 4.9079 = h - 1.5[/tex]

[tex]0.4226h = 6.4079[/tex]

[tex]h = 15.163\ meters[/tex]

What are the values of the variables in the triangle below? If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

Answers

Answer:

x = 12y = 4√3

Step-by-step explanation:

To find x we use cosine

cos∅ = adjacent / hypotenuse

x is the adjacent

8√3 is the hypotenuse

cos 30 = x / 8√3

x = 8√3 cos 30

x = 12

To find y we use sine

sin∅ = opposite / hypotenuse

y is the opposite

8√3 is the hypotenuse

sin 30 = y / 8√3

y = 8√3 sin 30

y = 4√3

Hope this helps you

(-38)÷ ------- =not defined.fill in the blanks
please fill the answer

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

▹ Step-by-Step Explanation

The answer is because anything divided by infinity is not defined.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Juan y Luis deben pagar su deuda de suma 4500, si el triple de lo que debe Juan menos, lo que debe Luis asciende a 3500 ¿cuánto es la deuda de cada uno?

Answers

Answer:

donda esta laletcha

Step-by-step explanation:

hola

solve 7+x÷3=2x-5 pls help me with this

Answers

Answer:

4.4

Step-by-step explanation:

Write the question out as an equation:

7+x/3 = 2x - 5

Rearrange , simplify and solve:

7+x = 3(2x-5) = 6x - 15

7+x = 6x-15

6x - 15 = 7+x

6x = 7+x+15 = 22+x

6x = 22+x

6x-x = 22

5x = 22

x = 4.4

hope this helps.

Good Luck.

Please Mark Brainiest

Answer:

Step-by-step explanation:

7+x/3=2x-5

taking 3 on the RHS

7+x=6x-15

22=5x

x=22/5

=4.4

Hi please help meeee

An experiment consists of tossing 3 coins at the same time.
1. Identify the sample space.
2. What is the probability of tossing 2 tails and 1 head?
3. Which is more likely to occur: tossing exactly 1 tail or tossing at least 2 heads? Explain.

Answers

Answer:

Step-by-step explanation:

The attachment will help you with your question:

rearrange w= 3(2a+b) -4 to make a the subject

Answers

Answer:

a = - 1/2b + 1/6w + 2/3

Step-by-step explanation:

w= 3(2a+b) - 4

Add 4 on both sides.

w + 4 = 3(2a+b)

Divide 3 into both sides.

w/3 + 4/3 = 2a+b

Subtract b on both sides.

w/3 + 4/3 - b = 2a

Divide 2 into both parts.

w/3/2 + 4/3/2 - b/2 = a

a = w/6 + 4/6 - b/2

a = 1/6w + 2/3 - 1/2b

Answer:

a=(w-3b+4)/6

Step-by-step explanation:

w= 3(2a+b) -4

w=6a+3b-4

6a= w-3b+4

a=(w-3b+4)/6

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