Two baseball teams meet in a playoff series at the end of the regular season. Team A won 55 of 81 games played in its home stadium during the regular season, while Team B won 48 of 81 games played in its home stadium. The first two games of the series will be played in Team A's home stadium, the next two games in Team B's home stadium. In the absence of any other information, which expression is equal to the probability that Team A will win the first four games in a row?

Answers

Answer 1

Answer:

Assuming the statistics are independent of the visiting team, then probability of team A winning in home turf is P(A)=55/81, and winning as a visitor of team B is P(B)=(81-48)/81=33/81.

So winning all four games,

P = P(A)*P(A)*P(B)*P(B)

2.

Total volume = 9³ cm³ = 729 cm³.

Side of each of 3 new cubes

= cube root of (729 cm³ /3) cm

= cube root of (243) cm.

3.

Total number of ways to pick 4 balls out of 9

= C(9,4) = 9!/(4!5!)=126

Total number of ways to pick 4 blue balls = C(4,4) = 1

total number of ways to pick 4 red balls

= C(5,4) = 5

Number of ways of not choosing 4 red nor 4 blue = (126 - 1 - 5) = 120

Probability of not choosing 4 balls of the same colour is therefore ...?


Related Questions

What is the mean price of $29 $58 $15 $129 $75 $22

Answers

Answer:

$32.67

Hope this helps!

Answer:

$54.6

Step-by-step explanation:

mean = add all the numbers together and divide by the amount of numbers

29+58+15+129+75+22=328

328/6= 54.6

you can put 55 it it requires you to round up

whats the surface area of, 47 cm 25 cm 24 cm 14 cm ?

Answers

Answer:

110 cm

Step-by-step explanation:

I added up all the numbers.

Hope this helps:)

cos(0)=2/2 ,and <0<2pi, evaluate sin(0) and tan(0). sin (0)=? tan(0)=?
PLEASE HELP!!!!

Answers

Answer:

Step-by-step explanation:

The angle is between 3pi/2 and 2pi so it is in the fourth quadrant where both sin and tan are negative.

Given cos(θ) = sqrt(2)/2

cos^2(θ) + sin^2(θ) = 1

sine^2(θ) = 1 - 2/2^2 = 1 - 1/2 = 1/2

sin(θ) = +/1 sqrt(2)/2

As we know sin(θ) is negative,

sin(θ) =  -sqrt(2)/2; the second answer

tan(θ) = sin(θ)/cos(θ) = -1

Answer:

Step-by-step explanation:

using (cosθ)^2 + (sinθ)^2 = 1

2/4 + (sinθ)^2 = 1

sinθ = [tex]\sqrt{2}/2[/tex]

or -[tex]\sqrt{2} /2[/tex]

By C-A-S-T, sinθ is -ve

sinθ = -[tex]\sqrt{2}/2[/tex]

tanθ = sinθ/cosθ = -1

There are some small cubes and some large cubes in a bag.
The cubes are red or the cubes are yellow.
The ratio of the number of small cubes to the number of large cubes is 4:9
The ratio of the number of red cubes to the number of yellow cubes is 3:5
a) What is the least possible number of cubes in the bag?
b) work out the least number of large yellow cubes in the bag.​

Answers

Answer:

Step-by-step explanation:

Remark

What a wonderful problem. I've never seen one quite like it.

Red to Yellow

The Red to Yellow ratio is given as 3:5

The total number of Red and yellow is something to 8. You get that just by adding the ratio. Let's check it out.

The reds are 3 to 8 and the yellows are 5 to 8.

Does that make sense? 3/8 + 5/8 = 8/8. All the cubes are accounted for.

Small to Large

The given ratio is 4:9

The smalls are 3/13 and the large are 9/13

3/13 + 9/13 equal 13/13 and all the cubes are accounted for.

What is the least possible number that will accomplish this?

8 * 13 is the very least number that will accomplish this. How come?

Because you have two conditions that must be met -- size and color. No other number will work.  Any other number will leave a remainder when you put color and size together. So the smallest number you can use is 104,

Last question: Least Number of Large Yellows

The color yellow is 5/8

The size is Large 9/13

So the calculation is

5/8 * 9 / 13 * 104

= 5 * 9

= 45

Notice that the 8 and 13 cancel out. You are left with the number of Yellows and Large =45

Note

I'll leave the other 3 combinations to you. They should add up to 104.

3/8 * 9/13 * 104 = 27

5/8 * 4/13 * 104 = 20

3/8 * 4/13 * 104 = 12

Please help ASAP

Extra 500 points and brainliest

Answers

Answer:

uh wut's the question?

Step-by-step explanation:

Answer:

There is no question here, what did you need help with?

5x = -5 and it has to show work pls

Answers

Answer:

x=-1

Step-by-step explanation:

5x=-5

[tex]x=\frac{-5}{5}=-1[/tex]

Dylan invested some money into his bank.
He agreed a simple interest rate of 3% per annum for a period of 2 years
At the end of the 2 years period the value of his investment increased by 72%
Work out the value Dylan initial investment was?

Answers

Answer:

the initial investment is $1,200

Step-by-step explanation:

The computation of the initial investment is shown below:

As we know that

Let us assume the investment be 100

So, the investment increased be 72

So,

Simple interest = Principal × rate of interest × time period

72 = Principal × 3% × 2 years

So, the principal is

= 72 ÷ 3% × 2

= $1,200

hence, the initial investment is $1,200

2) Byron made a scale model of his
favorite car. The car is 14 feet long.
Byron's model is 3.5 inches long. What
is the scale Byron used to make his
model car?

Answers

9514 1404 393

Answer:

  1 : 48

Step-by-step explanation:

The scale is ...

  3.5 in : 14 ft = 3.5 in : 168 in = 1 : 48

Answer:

Solution :-

At first we need to convert ft into in

1 ft = 12 in

14 × 12 = 168 inches

Ratio = 3.5 : 168

Ratio = 1:48

[tex] \\ [/tex]

I need help ASAP pls help

Answers

Answer:

tge radius is half the diameter so 1/2 of 3 1/2 =1.75 or 1 3/4

Sharon has a carton of quilting notions. She has a total of 52 notions. She has 16 patterns. She has three times as many thimbles as templates. How many of each item does she have?

Answers

Answer:

well if she has 52 notions and 16 patterns you will have to multiply

Mhanifa can you please help?

Answers

Answer:

Question 5

Sum of angles of a regular polygon is 360°

If one angle is 8°, then number of sides is:

360°/8° = 45Question 4

Sum of interior angles of a polygon with n sides:

180°(n - 2) = 5400°n - 2 = 30n = 32

Exterior angle measure is:

360°/32 = 11.25°Question 13

Sum of exterior angles is 360°

Each exterior angle is:

360°/16 = 22.5°

Solve for x, rounding to the nearest hundredth.
70 - 2^3x = 35

Answers

Answer:

x=4.375

Step-by-step explanation:

Answer:

x= 1.71

Step-by-step explanation:

We need to isolate x in the equation, first subtract 70 from the left side, so the equation is, -[tex]2^{3x\\}[/tex]=-35. There is a negative sign in both equations so we cancel them out so our equation is  [tex]2^{3x\\}[/tex]=35. Now we use log, so our equation now looks like  {log(35)/log(2)}/3=x. When we do it out we get that x=1.70976, and when rounded we get, x-1.71.

You buy 11 bagels with a $20 bill. How much change do you receive

Answers

Answer:

You would receive $13.75

Step-by-step explanation: What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.

I hope this helps and makes sense to you. Please mark brainlist!

Write an expression equivalent to
-3 + 2/3y − 4 − 1/3 y

Answers

Answer:

1/3y-7

Step-by-step explanation:

For these kinds of problems you want to combine like terms. 2/3y and -1/3y are like terms, and when adding them together, or subtracting 1/3y from 2/3y, you get 1/3y. -3 and -4 are like terms, and adding them together gives you -7. The final expression can be written as 1/3y-7.

To write an equivalent expression, we need to simplify the given expression by combining like terms. Like terms are terms that have the same variable and exponent. We can use the distributive property to remove parentheses or other grouping signs to then combine like terms.

The given expression is -3 + 2/3y - 4 - 1/3y. We can see that there are no parentheses or grouping signs, so we can skip that step. We can also see that there are two like terms: 2/3y and -1/3y. We can combine them by adding their coefficients: 2/3 + (-1/3) = 1/3. So, we get:

-3 + 2/3y - 4 - 1/3y = -3 - 4 + (2/3 - 1/3)y = -7 + (1/3)y

This is the simplified expression that is equivalent to the given expression.

Which of the following triangles have three sides of different lengths?
A. scalene triangle
B. acute triangle
C. right triangle
D. equilateral triangle
I will mark the brainiest if correct. Thank you.

Answers

Answer:

Sclaene triangle

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

The Lines are all different angles hence they are all different lengths

Chris types at an average speed of 50 words per minute. He has already typed 1,250 words of his final paper. The paper has to be
more than 3,750 words. Which of the following inequalities could be used to solve for x, the number of minutes it will take Chris to
type his paper?
OA. 50x > 3,750
ОВ.50x - 1,250 > 3,750
OC. 50x > 5,000
OD. 50x + 1,250 > 3,750

Answers

Answer:

D. 50x+1,250>3,750

Step-by-step explanation:

sin/1-cos=1+cos/sin
Can someone solve this?​

Answers

Answer:

Step-by-step explanation:

hello :

Sinx/1-cosx=1+cosx/sinx means : sin²x= (1-cosx)(1+cosx)

sin²x= 1-cos²x

sin²x+cos²x =1


If each inch on the scale drawing equals 5
feet, what are the actual dimensions of Janet's room?

Answers

Answer:

5x feet or x times 5.

Step-by-step explanation:

Find the surface area of the pyramid, round to the nearest tenth:

Answers

Answer:

2 2/3 rounded to ten is 3 so 3 is your anser

Step-by-step explanation:

i think you multypliy 4 by 6/9 thenround

Answer:

71.2

Step-by-step explanation:

2(4)(6.9) + 4^2

a school chooses 3 randomly selected athletes from each of its sports teams to participate in a survey about athletics at
the school. what type of sample is this?

A.) Simple Random Sample
B.) Stratified Random Sample
C.) Cluster Random Sample
D.) Systematic Random Sample
E.) None of the above​

Answers

The correct answer is letter B

Since the school chooses 3 randomly selected athletes from each of its sports teams, this is a B. Stratified Random Sample.

A stratified random sample refers to a method of sampling which has to do with the division of a population into strata which are smaller groups. This is done in order to make the sampling easier.

Stratified Random Sample is different from the Simple Random Sampling where one has to choose from the members. In this case, everyone has an equal chance of being selected.

In this case, since the school chooses 3 randomly selected athletes from each of its sports teams, it means the stratified random sample is used.

Read related link on:

https://brainly.com/question/10585424

The length of one of the diagonals of a rhombus is 6, and the perimeter is 20. What is the length of the other diagonal?

Answers

Answer:

4

Step-by-step explanation:

Wendy borrowed a 370-page book from the library. She has already read 20 pages. The book is due back to the library in 7 days. Write an inequality to find the number of pages per day Wendy must read in order to finish the book before it is due.
0 points

Answers

Answer:

n ≥ 50

Step-by-step explanation:

Total pages = 370

Read pages = 20

Number of days remaining = 7

Reading rate per day = n

7n + 20 ≥ 370

7n ≥ 370 - 20

7n ≥ 350

n ≥ 350/7

n ≥ 50 pages per day for the remaining 7 days

What's the answer to this one?

Answers

Answer:

b^(-6)

Step-by-step explanation:

The numerator of this fraction is b^(-11).  The -11 is the sum of -4 and -7.  

The denominator is b^(-5).

Recall that b^a / b^c = b^(a - c).  Thus, b^(-11) / b^(-5) = b^(-6)

Plz help I need it!!!!!!!!!!!!

Answers

Answer:

114°

Step-by-step explanation:

[tex]? = \frac{1}{2} (53 \degree + 175 \degree) \\ \\ ? = \frac{1}{2} \times 228 \degree\\ \\ ? = 114 \degree[/tex]

which equation is equivalent to 5(d+1)

Answers

Answer:

5d + 5

Step-by-step explanation:

Answer:

.............5d+5

How many square feet of outdoor carpet will we need for this hole?

Answers

Answer:

30 square ft

Step-by-step explanation:

Find the area of each rectangle and add them together

(2)(5) + (2)(6) + (2)(4) = 30


a) What type of triangle is triangle ABC?
b) Give reasons for your answer.

Answers

Answer:

1. isosceles

2. isosceles have 2 sides that are the same length this is the same as the tringle in the picture.

Step-by-step explanation:

Pls give me brainliest

Answer:

It is isosceles triangle

Step-by-step explanation:

The steps in the above photo

During April, he charges $387.92 to the card, and at the end of April, he makes a payment of $400.00. What will be the new balance on his card?

Answers

he would have no money because he used it

These four numbers are plotted on a number line: −2/3, 5/8, −3/5, −1/2 Which is the correct ordering on the number line, from left to right?

Answers

Answer:

i dont know too i was here seeing if you got an answer.1

Step-by-step explanation:

pls answer this people!!

Answer:

-2/3, -3/5, -1/2, 5/8

Step-by-step explanation:

The larger the number/fraction/decimal is as a positive number, the smaller it will be as a negetive.

Suppose that y varies directly with x
and y=
= 10 when x = 20. What is y
when x = 15?
Be sure to simplify your answer.

Answers

Answer:

[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]

answer:10×2=20

5×3=15

Answer:

y = 7.5

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 20

10 = 20k ( divide both sides by 20 )

[tex]\frac{1}{2}[/tex] = k

y = [tex]\frac{1}{2}[/tex] x ← equation of variation

When x = 15 , then

y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5

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