1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Lyrx [107]
3 years ago
10

Two dance teams, the Roses and the Tulips, are perfectly matched so that their chances of winning are both set at 50%. What is t

he probability that the Roses will win the next 3 out of 4 games? Round the answer to the nearest whole percent. (No decimals)
Mathematics
1 answer:
shtirl [24]3 years ago
3 0

Answer:

6%

Step-by-step explanation:

Step 1

The fist step is to define the probabilities.

The events are independent from each other. Each team wins with probability \frac{1}{2} and looses with probability \frac{1}{2}.  Let P(W_R) be probability that Roses win and P(L_R)  be the probability that Roses loose.

Step 2

The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.

The calculation is shown below,

P(W_R)\times P(W_R)\times P(W_R)\times P(L_R)=\frac{1}{2} \times \frac{1}{2} \times\frac{1}{2} \times\frac{1}{2} =\frac{1}{16}

Step 3

The last step is to convert this probability into a percentage. Converting this probability to a percentage is  done as shown below,

\frac{1}{16} \times 100\%=6.25\%.

Step 4

The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.


You might be interested in
Show that 0.357 is a rational number.
nika2105 [10]

Answer:

0.357 = (357)/(1000).

Step-by-step explanation:

A number is a rational number if and only if it is equal to the ratio between two integers. In other words, a number x is a rational number if and only if there are integers (whole numbers) p and q (q \ne 0) such that x = p / q.

Thus, the 0.357 in this question would be a rational number as long as there are integers p and q (q \ne 0) such that p / q = 0.357. Simply finding the right p\! and q\1 would be sufficient for showing that 0.357\! is rational.

Since 0.357 is a terminating decimal, one possible way to find p\! and q\1 is to repeatedly multiply 0.357\! by 10 until a whole number is reached:

10 \times 0.357 = 3.57.

10^{2} \times 0.357 = 35.7.

10^{3} \times 0.357 = 357.

Thus, 0.357 = (357) / (10^{3}), such that p = 357 and q = 1000 (both are integers, and q \ne 0) would ensure that 0.357 = p / q.

Therefore, 0.357 is indeed a rational number.

4 0
3 years ago
ACT help?
timama [110]

Hello!

Firstly, we can complete the linear function. To complete it, we need to find the y-intercept of the equation. To find it, we use the equation: y = -2/3x + b, substitute the point (2, 1) into the equation, and solve for b.

1 = -2/3(2) + b

1 = -4/3 + b (add 4/3 to both sides)

b = 7/3

The completed linear equation is: y = -2/3x + 7/3.

The easiest way to find the ordered pair that is on the graph is to graph the equation and label the points (the graph is posted below).

As seen on the graph, the ordered pair, (8, -3), is graphed. To prove it is correct, we can substitute the ordered pair into the linear function.

-3 = -2/3(8) + 7/3

-3 = -16/3 + 7/3

-3 = -3 | True!

Therefore, the answer is choice D, (8, -3).

I don't know any good sites with ACT practice problems, sorry and good luck!

6 0
3 years ago
A bag contains one green ball, one yellow ball, one red ball, and one blue ball. Jerome picks a ball from the bag, replaces it,
Arlecino [84]

Answe

Step-by-step explanation:

3 0
3 years ago
Cost per item: $6.06 item sold: 64321 total profit: $25123.5 sale price:?
mart [117]

Answer:

0.39063241

Step-by-step explanation:

cost per item: 6.06

items sold: 64321

total profit: 25123.5

sale price: ?

x = number of items

64321x - 6.06x = 25123.5

64314.94x = 25123.5

x = 25123.5/64314.94 = 0.39063241

7 0
2 years ago
the pie factory sells an apple pie with a diameter of 16 in. for $10.99. What's the approximate cost per square inch of surface
AURORKA [14]
I'm going to assume the crust covered by the dosenot matter because the total surface area cannot be found without the depth of the pie.

So the surface are is the area of the top of the pie, the top of the pie is circular and is equal to 2\pir²

The diameter is the sum of 2 radii, hence r=8

D=12
  = 2r =12
r=8

With the raduis the area can be found
A= 2\pir²
A=2\pi8² 
A=2(64)\pi
A=128\pi

If the pie cost 10.99, the cost per inch can be found by dividing the area by cost

cost/inch =128 \pi/10.99
cost/inch =11.64\pi
               = 11.64(3.14)
               = 36.57

The pie costs 36 cents per square inch
5 0
3 years ago
Other questions:
  • Under which transformation can the image be a different size than the original figure
    10·2 answers
  • Which is the correct formula to calculate the volume of a cone?
    14·2 answers
  • 3x^2+x+1=0<br><br> Please show your work to see how you even solve this thanks !
    11·1 answer
  • Calculate the power needed to raise 32lb. A distance of 12 feet in 4 seconds
    7·2 answers
  • Tina used 10 1/2 yards of yarn to make three yarn dolls. She used 4 1/2 yards of yarn for the first doll and 2 1/9 yards for the
    9·2 answers
  • Find the probability that the age of a randomly chosen American (a) is less than 20. (b) is between 20 and 49. (c) is greater th
    10·1 answer
  • According to a certain golf​ association, the weight of the golf ball ball shall not be greater than 1.620 ounces​ (45.93 grams)
    6·1 answer
  • A large container holds 7 gallons of water. It begins leaking at a constant rate. After 8 minutes, the container has 5 gallons o
    13·2 answers
  • Math question could someone help me !
    9·1 answer
  • GEOMETRY HELP PLS i don’t understand this
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!