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
babunello [35]
1 year ago
8

So far this year, Adam has played 30 games of chess and has only won 6 of them. What is the minimum number of additional games h

e must play, given that he is sure to lose at least one-third of them, so that for the year he will have won more games than he lost?
A) 24
B) 57
C) 87
D) It is not possible for Adam to do this.

The correct answer is B) 57, but not sure how?
Mathematics
2 answers:
QveST [7]1 year ago
8 0
Try adding 57 to the equation, then you can see how 57 adds into the equation and proves the answer.
Shtirlitz [24]1 year ago
4 0

Answer:

Step-by-step explanation:Yikes. Just so we’re all clear—this is not a real SAT question.

So far, Adam’s record is 6 wins/30 games. If he plays x more games, his record will be:

image

You find the minimum x such that the fraction is greater than ½, which would mean he won more than ½ of his games.

Let’s do some math!

image

So if he plays 54 more games, and wins 2/3 of them, he’ll have the same number of wins as losses. Check on that to make sure: He’ll have played 30 + 54 = 84 games, and won 6 + (2/3)54 = 42 of them. Yep, that works.

Now here is where it gets tricky (and why this question is not SAT-caliber). Remember that he’s losing 1/3 of his games. If his 52nd, 53rd, and 54th additional games were win, win, loss, then he would have had, very briefly, a winning record after his 53rd additional game.

His 55th additional game is another chance at a winning record. If he loses that game, then he’ll win the next two, and have a winning record for sure by the 57th additional game. From there, if he continues winning 2/3 of his games, he’ll have a winning record forever.

You might be interested in
Plz help me well mark brainliest if correct!
Charra [1.4K]

Answer:

diameter it goes throught the circle and as end points across

5 0
3 years ago
Read 2 more answers
!!!! could anyone help on these two problems? find the value of each trigonometric ratio
Setler [38]

Answers:

  • sin(C) = 24/25
  • cos(Z) = 5/13

=============================================

Explanation:

The formulas we use are

  • sin(angle) = opposite/hypotenuse
  • cos(angle) = adjacent/hypotenuse

The fraction 15/39 reduces to 5/13 after dividing both parts by the GCF 3.

3 0
2 years ago
PLEASE HELP ILL MARK YOU THE BRAINLIEST ASAP!!
Ratling [72]

Answer:

second 1 is right

Step-by-step explanation:

it is righttttt

4 0
3 years ago
Read 2 more answers
Find the slope of the line
Phantasy [73]

Answer:

4

Step-by-step explanation:

rise is 4

run is 1

4/1=4

5 0
3 years ago
Read 2 more answers
The mass of the eggs laid by a certain breed of hen is a normally distributed random variable with mean 0.06kg and standard devi
Olin [163]

a (i) The number of standard size is 288 eggs

a (ii) The number of medium size is 1,476 eggs

a (iii) The number of large size is 36 eggs

b (i) The expected profit made from selling the standard size is Gh¢43.2

b (ii) The expected profit made from selling the medium size is Gh¢516.6

b (iii) The expected profit made from selling the large size is Gh¢16.2

The given parameters:

the mean of the distribution, m = 0.06 kg

standard deviation (std) of the distribution, d = 0.009 kg

number of the samples, n = 1800 eggs

(i) Find the position of "less than 0.052 kg (standard size)":

  • 1 standard deviation below the mean = m - d
  • m - d = 0.06 kg  -  0.009 kg = 0.051 kg

(<em>the </em><em>standard size</em><em> is 1 standard deviation below the mean</em>)

  • less than 1 standard deviation below the mean in a normal distribution is equal to 16% of the data samples
  • Number of standard size = 0.16 x 1800 = 288 eggs

(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":

  • 0.052 kg is 1 standard deviation below the mean
  • 2 standard deviation above the mean = m + 2d
  • m + 2d = 0.06 + 2(0.009) = 0.078 kg

(<em>the </em><em>medium size</em><em> is between 1 std below the mean and 2 std above the mean</em>)

  • Between 1 std below the mean and 2 std above the mean in a normal distribution = (68 + 14)% = 82%
  • Number of medium size = 0.82 x 1800 = 1,476 eggs

(iii) Find the position of "Greater than 0.075 kg (large size)":

  • 0.078 kg is 2 standard deviation below the mean
  • greater than 2 std above the mean in a normal distribution = 2 % of the data samples
  • Number of large size = 0.02 x 1800 = 36 eggs

<u>Check:</u> <em>288 eggs + 1476 eggs + 36 eggs = 1,800 eggs</em>

(b) the cost of production of an egg = Gh¢0.45

the selling price of the standard size = Gh¢0.60

the selling price of the medium size = Gh¢0.80

the selling price of the large size = Gh¢0.95

(i) The expected profit made from selling the standard size:

Profit = total revenue - cost of production

Profit = 288(0.6) - 288(0.45) = Gh¢43.2

(ii) The expected profit made from selling the medium size:

Profit = total revenue - cost of production

Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6

(iii) The expected profit made from selling the large size:

Profit = total revenue - cost of production

Profit = 36(0.9) - 36(0.45) = Gh¢16.2

Learn more here: brainly.com/question/22520030

3 0
3 years ago
Other questions:
  • What does this mean?
    13·2 answers
  • Find the missing side length.
    5·1 answer
  • Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
    11·1 answer
  • Write the equation of the line that is parallel to the graph of y=1/2x+6, y-intercept is -2.
    7·2 answers
  • Which equation can be used to determine p, the cost of s swimsuits
    10·1 answer
  • Median of 28, 30, 34, 35
    13·1 answer
  • I need help with this problem
    8·1 answer
  • 3. Armen los siguientes prismas a partir de los que construyeron con su material recor
    7·1 answer
  • COPY THE TABLE BELOW IN YOUR NOTEBOOK. THEN ROUND EACH ITEM TO THE NEAREST HUNDREDTHS AND THOUSANDS​
    7·1 answer
  • A researcher carefully calculates the correlation coefficient and gets a value of r=1.23. What does this value mean?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!