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Scenario 1: You and a friend take turns choosing marbles at random from a jar containing 13 red marbles and 13 blue ones. Once you select a marble, you record the color of the marble and do not return the marble to the jar.

Scenario 2: You and a friend take turns choosing marbles at random from a jar containing 13 red marbles and 13 blue ones. Once you select a marble, you record the color of the marble and return the marble to the jar.

a) Identify each scenario as independent or dependent. Explain your answer.

b) Are the probabilities of selecting two blue marbles in each scenario the same or different? Explain your answer.

Answer:

a) = Rs 16000

b) = 5%

c) = Rs 30,000,000

10% = 24,000,00/10 = Rs 240,000

20% = 240,000 x 2 = Rs 480,000

480,000/30 = Rs 16000

b) The bonus percentage needs to be increased by 5%

explanation:

Since every worker needs Rs 20000 we need to times it by 30

20000 x 30 = Rs 600,000

600,000 - 480,000 = Rs 120,000

Now we need to find the percentage of Rs 120,000

10% = Rs 240,000

5% = 240,000 divide by 2 = Rs 120,000

This is the best I can do for now please let me know if you understood the answer!

Answer:

1.Rs.16000

2.Bonus rate:25%

3.profit:Rs.3000000

Step-by-step explanation:

Case 1

Profit=Rs.2400000

Bonus Rate:20%

No.of employees =30

Now,

Bonus = (Bonus Rate of Profit) / no. Of employees

= 20% of Rs.2400000 / 30

= Rs. 16000

Case 2

Bonus=Rs.20000

Profit=Rs.2400000

Bonus rate=?

Now,

Bonus=bonus rate of profit / no. Of employees

Or,Rs. 20000 = Bonus rate × Rs. 2400000/30

Or, Rs. 20000=Bonus rate × Rs. 80000

Or,Rs.20000/Rs.80000 = Bonus rate

Bonus rate = 1/4=25%

Case 3

Bonus=Rs.20000

Bonus Rate = 20%

Now,

Bonus = bonus Rate of profit / no.of employees

Or, Rs. 20000 = 20% × Profit / 30

Or, Rs. 20000 × 30 / 0.2 = profit

Profit= Rs. 3000000

I hope it helped you

Answer:

8.5 units

Step-by-step explanation:

x is the adjacent side, the side that's 19 units is the opposite side.

Given the adj and the opp sides, use tangent.

tanθ= opp/adj

tan 66°= 19/ x

x(tan66°)= 19

x= 19/(tan 66°)

x= 8.5 units (nearest tenth)

Answer:

change your cringe username please lol

Step-by-step explanation:

jk heres the answer D, x = 2

The Value of x would be as follows:

2

Given that,

Important Equations:

[tex]-8x + 8y = 8[/tex]

(i) [tex]3x - 8y = -18[/tex]

(ii) [tex]-5x - 0 = - 10[/tex]

(iii) Solving equation

By equation

(iii) [tex]x = -10 / -5[/tex]

∵ [tex]x = 2[/tex]

Thus, [tex]2[/tex] is the value of x.

Learn more about "equation solving," refer

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Answer:

158m^3

Step-by-step explanation:

First, let's figure out the total amount of water in the tank.

It measures 4.5m by 6m by 8m. The volume of a rectangular prism is V=lwh.

Therefore, the volume is:

[tex]V=(4.5)(6)(8)=216 m^3[/tex]

We are told is it filled to the brim, so we can conclude that there are 216 cubic meters of water in the tank.

We used 58 cubic meters of water, so we simply need to subtract that from 216:

[tex]216m^3-58m^3=158m^3[/tex]

There is still 158 cubic meters of water left in the tank.

Answer:

158 m^3

Step-by-step explanation:

Volume of the tank

= 4.5 * 6 * 8

= 216 m^3.

So amount left in the tank

= 216 - 58

= 158 m^3.

Answer:

75 green marbles

Step-by-step explanation:

From the information given in the question, we can create a ratio representing all the marbles in the bag.

9 red:15 green:6 blue

We need to find the total number of times the student drew a marble by finding the sum

9+15+6= 30

The sample size is 30

150 is 5x the amount of 30, that means we need to multiply the given information by 5 to predict the number of green marbles

9x5=45

15x5=75

6x5=30

Now we have 45 red: 75 green: 30 blue

Based on the given information, we can predict that the bag contains 75 green marbles

Answer:

450m squared

Step-by-step explanation:

bc my last answer was wrong (:

Answer:

450 m²

Step-by-step explanation:

The formula for area of a rectangle is A = lw.  You are given the length (30 m) and the width (15 m).  Plug in the numbers and solve for A.

A = lw

A = (30 m)(15 m)

A = 450 m²

The area of the rectangle is 450 m².

Answer:

A. No Solution

Step-by-step explanation:

To solve for x we would just simplify the equation so it is easier to work with. First we will combine the -7x and the -15x and when you combine then you will get -22x so the equation will look like this [tex]-22x-10=-22x+83[/tex] now we would add 22x to both sides and our equation will be [tex]-10=83[/tex] and that is not correct so the answer would be A. No solution

Answer:

A. No solution

Step-by-step explanation:

-7x - 10 - 15x = -22x + 83

-22x - 10 = -22x + 83

0 = 93

Zero doesn't equal to 93, so there are no solutions.

Answer:

The Y-intercept changes .

Step-by-step explanation:

Answer:

The y-intercept changes

Step-by-step explanation:

Answer:

I'm pretty sure it's the last one that is incorrect

Step-by-step explanation:

Answer:

The first one - “line segment TA is congruent to line segment DO” is incorrect

Step-by-step explanation:

Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.  

Answer:

Your answer is A

Step-by-step explanation:

By using substitution method, we obtained the solution of equations (3, 3).

The given linear system of equations are 6x+3y=27 and 5x+2y=21.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Using substitution method we can solve given equations

6x+3y=27 can be written as 2x+y=9 ----------(I)

5x+2y=21 ----------(II)

From equation (I), we have y=9-2x

Substitute y=9-2x in equation (II), we get

5x+2(9-2x)=21

⇒ 5x+18-4x=21

⇒ x=21-18

⇒ x=3

Substitute x=3 in equation (I), we get

2(3)+y=9

⇒ y=3

Therefore, by using substitution method, we obtained the solution of equations (3, 3).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

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Answer:

-25

Step-by-step explanation:

Answer:

A is right its acute angle

Step-by-step explanation:

because supplementary is 180

therefore A +B = 180

since we know A

B = 180- A

B = 73

which is an acute angle as its less than 90

pls mark me brainliest pls

Answer:

Step-by-step explanation:

(a) Acute

A=107 deg

B=?

given A+B=180

=> B=180-A

      = 180-107

      = 73

SO, B is an acute angle.

Answer:

6x^2 - 14x + 4.

Step-by-step explanation:

5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)

=  5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1

= 6x^2 - 14x + 4.

Answer:

1 - 9/7n

Explanation:

1/7 - 3(3/7n - 2/7)

distribute the 3 with the 2 fractions inside the parenthesis

1/7 - 9/7n + 6/7

add like terms (1/7 + 6/7)

7/7 - 9/7n

or

1 - 9/7n

Answer:

1 -9 sevenths n

step-by-step explanation:

Answer:

18.75%

Step-by-step explanation:

(round answer if needed)

Answer: 18.75%

Step-by-step explanation:

divide 100 by 16

100/16=6.25

6.25x3=18.75

Answer:

600 blocks

Step-by-step explanation:

Well this question is asking us to find the volume of the rectangular prism.

Dimensions)

L: 12

W: 10

H:5

The formula for the volume of a rectangular prism is l*w*h or B*h.

So 12*10 = 120

120 * 5 = 600 blocks

Thus,

the fort contains 600 blocks.

Hope this helps :)

Answer:

[tex]\boxed{280\ blocks}[/tex]

Step-by-step explanation:

The blocks at the base are:

Length * Width = 10 * 12 = 120 blocks

On the 2nd Layer:

=> 9+11+9+11 = 40 blocks

There are 3 more layers as the 2nd layer:

So, the blocks of these 4 layers are => 4 * 40 = 160 blocks

Total Blocks = Base Blocks + Layer Blocks

=> 120 + 160

=> 280 blocks

Answer: -third

Step-by-step explanation:

Answer:

The first one isn't the second one is.

Step-by-step explanation:

In the first one, they have to be equal because they're corresponding angles so m and n are parallel.

In the second one, m<2 and m<3 would be supplementary and add up to 180 degrees if the lines were parallel and since they don't add up to 180, the lines are not parallel.

Answer:

6p+19

Step-by-step explanation:

combine like terms:

8p+10+-2p+-1+10

(8p+-2p)+(10+-1+10)

6p+19

HOPE THIS HELPS!!!!!!:)

Answer:

420 cents or $4.20

Step-by-step explanation:

if each egg is 10 cents then

U MULTIPLY 42*10=X

420=X

SO 420 CENTS OR 4.20$

HOPE I HELPED

CAN I GET BRAINLIEST PLS?

                 -ZYLYNN

Answer: a = 8, x = 56, y = 68

Step-by-step explanation:

Was there a description that stated this was a parallelogram?

Since that information was not provided....

I used the Law of Cosines to find x = 56°.

Congruent sides implies congruent angles so Center-Q-R = 56°.

Triangle Sum Theorem results in y = 68°

Vertical angles results in S-Center-P = 68°

Triangle sum Theorem results in S-P-Center = 68°

Now we can see that alternate interior angles are congruent, therefore PQRS is a parallelogram. Diagonals are bisected at the intersection so a = 8

Answer:

y = (-1/2)x - 3

Step-by-step explanation:

Please present the equation symbolically instead of in words:

m = -1/2, passing through (4, -5):

Using the slope-intercept formula y = mx + b, and using m = -1/2, x = 4 and y = -5, we get:

-5 = (-1/2)(4) + b, or -5 = -2 + b.  Then b = -3 and the desired equation is:

y = (-1/2)x - 3

y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given that a line has slope -1/2 and passes through point (4, -5)

The standard equation of a line is y = mx + c where m is the slope of the line.

Solving for c,

-5 = -1/2*4 + c

c = -3

Hence, y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)

For more references on the equation, click;

https://brainly.com/question/10413253

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Answer:

[tex]\boxed{\mathrm{True}}[/tex]

Step-by-step explanation:

[tex]f(x) = 2x^2+3[/tex]

Put x = x -1

[tex]f(x-1) = 2(x-1)^2+3\\f(x-1) = 2(x^2-2x+1)+3\\f(x-1) = 2x^2-4x+2+3\\f(x-1) = 2x^2-4x+5[/tex]

So, it is true.

Answer:

True

Step-by-step explanation:

Answer:choice one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I did the test

Answer:

2/3 cups of sugar

Step-by-step explanation:

Answer:

2/3 cups of sugar

Step-by-step explanation:

If 3 cups of flour: 1 cup of sugar

2 cups of flour: x cup of sugar

Cross multiply

3x = 2 × 1

3         3

x = 2/3

My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.

Answer:

Step-by-step explanation:

27^2 = 729

13^2 =169

Answer:

1) [tex]\boxed{729}[/tex]

2) [tex]\boxed{169}[/tex]

Step-by-step explanation:

1) 27²

This means 27 is being multiplied 2 times.

So,

=> 27*27

=> 729

2) 13²

This means 13 is being multiplied 2 times

So,

13*13

=> 169

Answer:

98

Step-by-step explanation:

Let's say the tens place is x and the ones place is y.

The tens place is one more than the one's place:

x = y + 1

Reversing the digits, plus the original number, is 187:

(10x + y) + (10y + x) = 187

11x + 11y = 187

x + y = 17

Substituting:

y + 1 + y = 17

2y = 16

y = 8

x = 9

The number is 98.

Answer:

Reflecting over y = -1 line:

A'(8, -10)

B'(10, -8)

C'(2, -4)

Reflecting over y = -7 line:

A''(8, -4)

B'(10, -6)

C''(2, -10)

Step-by-step explanation:

Reflect the given preimage over y=−1 followed

by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)

The coordinates of the preimage are:

A(8,8)

B(10,6)

C(2,2)

Answer: Reflecting over y = -1:

If a point is reflected over a y line, the x values remain the same while the y values change.

For point A(8, 8): The y distance between the y = - 1 line and point A is 9 units. (8- (-1)). If point A is reflected, the y value would be 9 units below the y = -1 line, i.e the new y coordinate would be at -10 (-1-9)

The new coordinate is at A'(8, -10)

For point B(10, 6): The y distance between the y = - 1 line and point B is 7 units. (6- (-1)). If point B is reflected, the y value would be 7 units below the y = -1 line, i.e the new y coordinate would be at -8 (-1-7)

The new coordinate is at B'(10, -8)

For point C(2, 2): The y distance between the y = - 1 line and point C is 3 units. (2- (-1)). If point C is reflected, the y value would be 3 units below the y = -1 line, i.e the new y coordinate would be at -4 (-1-3)

The new coordinate is at C'(2, -4)

Reflecting over y = -7 line:

For point A'(8, -10): The y distance between the y = - 7 line and point A' is 3 units. (-7- (-10)). If point A' is reflected, the y value would be 3 units above the y = -7 line, i.e the new y coordinate would be at -4 (-7+3)

The new coordinate is at A''(8, -4)

For point B'(10, -8): The y distance between the y = - 7 line and point B' is 1 units. (-7- (-8)). If point B' is reflected, the y value would be 1 units above the y = -7 line, i.e the new y coordinate would be at -6 (-7 + 1)

The new coordinate is at B'(10, -6)

For point C'(2, -4): The y distance between the y = - 7 line and point C' is 3 units. (-4- (-7)). If point C' is reflected, the y value would be 3 units below the y = -7 line, i.e the new y coordinate would be at -10 (-7-3)

The new coordinate is at C''(2, -10)

We can also see that h= −7−(−1)=−6. We know that two reflections is the same as a translation of 2h  units down. So 2(−6) is a translation of −12 units down.

Answer:

C

Step-by-step explanation:

2 is the opposite of -1/2, so reciprocals line up for perpendicularity