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stealth61 [152]
3 years ago
14

A bin has 5 white balls and k black balls in it, where k is an unknown positive integer. A ball is drawn at random from the bin.

If a white ball is drawn, the player wins 1 dollar, but if a black ball is drawn, the player loses 1 dollar. If the expected loss for playing the game is 50 cents, then what is k?
Mathematics
1 answer:
crimeas [40]3 years ago
4 0

Answer:

Step-by-step explanation: The expected loss is 50 cents, we know that it is more likely to lose than win. It is therefore difficult to get-50, so the overall difference between the two possibilities is 2, 50/200=1/4, and the probability to win is 1/4, and the probability to lose is 3/4. Since (1/4)*3=3/4, the number of black balls is 3 times the number of white balls, so k=15.

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Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178
Katarina [22]

Answer:

2x+178\geq 2000

Step-by-step explanation:

Let, the number of cans collected by Shane = x.

So, the number of cans collected by Abha = x + 178.

Since, at least 2000 cans are required to be collected.

Thus, we have the inequality,

Number of cans by Shane + Number of cans by Abha ≥ 2000.

i.e. x+(x+178)\geq 2000

i.e. 2x+178\geq 2000

Thus, the required inequality is 2x+178\geq 2000.

4 0
3 years ago
There are 44 students in a class.every student plays at least 1 of the 2 sports:baseball and soccer.27 students play baseball on
Anon25 [30]
The answer is 6 students.
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3 years ago
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.
Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

  • AC = 2 x  XY
  • CB = 2 x  YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x  XY

CB = 2 x  YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º   - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A   - given

Then ∠X and ∠Z are  said to becomplementary angles

Since m∠Z = 90° - m∠X   -- given

Then ∠A and ∠B are said to be complementary angles

Since m∠B = 90° - m∠A  --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are  similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5  seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

Learn more about dilation from:

brainly.com/question/27517432

#SPJ1

7 0
2 years ago
Simple math but I can't seem to understand it: x+y=2 becomes y=2-x, in order to find slope and y intercept y=mx+b The result bec
IgorLugansk [536]

Answer:

See below.

Step-by-step explanation:

So we started off with the equation:

x+y=2

And we subtracted x from both sides to acquire:

y=2-x

Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:

y=mx+b

Where m is the slope and b is the y-intercept.

If we rearrange our equation:

y=2-x\\y=-x+2

And put some parentheses:

y=(-1)x+(2)

We can see that this is indeed slope-intercept form.

And we can see that m is -1 and b is 2.

In other words, the slope is -1 and the y-intercept is 2.

3 0
3 years ago
Read 2 more answers
3x+y=8<br>5x+y=10<br>please help me Brainly sir ​
Svet_ta [14]

Answer:

X = 1

Y = 5

Step-by-step explanation:

we have to figure out what x and y = that make both answers correct

3 x 1 = 3

3 + 5 = 8

That means that the first equation is right with X = 1 and Y = 5

Let's see the second equation

5 x 1 = 5

5 + 5 = 10

That means both equations are right so the answer would be

X = 1 and

Y = 5

8 0
2 years ago
Read 2 more answers
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