A bag of marbles contains 8 yellow marbles, 6 blue marbles, 4 red marbles, and 2 green marbles. Two marbles are chosen at random, WITHOUT replacement. What is the probability a red marble is chosen and then a blue marble?

Answer:

a) V = 1000 cm³

b) V = 614.125 cm³

Step-by-step explanation:

a) side length a = 10 cm

face diagonal f = 14.142135623731 cm

solid diagonal d = 17.320508075689 cm

surface area S = 600 cm²

volume V = 1000 cm³

___________________________

b) side length a = 8.5 cm

face diagonal f = 12.020815280171 cm

solid diagonal d = 14.722431864335 cm

surface area S = 433.5 cm²

volume V = 614.125 cm³

_____________________________

Formula: V=a³

Answer:

7y-3x-8z

Step-by-step explanation:

(3y+4y)+(2x-5x)-8z

7y+(2x-5x)-8z

7y-3x-8z

Answer:

I hope it's correct.

Step-by-step explanation:

1 time=3m/s

6times(the runner is faster)

It will be, 6/1×3=18m/s

Answer: 2)The probability of drawing a red cube is 3/5 and the probability of drawing a blue cube us 2/5.

  3) No the probability of selecting a red cube is not equal to probability of selecting a blue cube because the outcomes 3/5 and 2/5 are not equal.

Step-by-step explanation:

The probability of each outcome in the sample space is:

Probability of drawing a red cube = 3/5

Probability of drawing a blue cube = 2/5

No, the probability of selecting a red cube is not equal to the probability of selecting a blue cube.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required event / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The sample space of this experiment consists of the possible outcomes of randomly drawing a cube from the bag.

There are two possible outcomes: either a red cube is drawn or a blue cube is drawn.

So, the probability of each outcome in the sample space is:

Probability of drawing a red cube = 3/5

Probability of drawing a blue cube = 2/5

No, the probability of selecting a red cube is not equal to the probability of selecting a blue cube.

This is because there are more red cubes in the bag than blue cubes, so the probability of drawing a red cube is higher than the probability of drawing a blue cube.

Specifically, the probability of drawing a red cube is 3/5, which is greater than the probability of drawing a blue cube, which is 2/5.

Thus,

The probability of each outcome in the sample space is:

Probability of drawing a red cube = 3/5

Probability of drawing a blue cube = 2/5

No, the probability of selecting a red cube is not equal to the probability of selecting a blue cube.

Learn more about probability here:

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Answer:

IDK the other line.

Step-by-step explanation:

y=2x is a proportional relationship because it has a 1:2 ratio, where as the x increases by one point, the y value will constantly increase by 2 points.

Answer:

100^2

Step-by-step explanation:

I believe it is 100 because one square is 10 times 5 which equals 50 since A=bh. If we multiply 50 times 2 or do the same for the other square and add the two areas together. We got 100^2.

PLZ MARK BRAINLIEST!!!

Answer: 4.6

Step-by-step explanation:

GH is equal to 4.6 since it is congruent to JH. GJ is one line, which makes angles GKH and JKH supplementary angles. Since angle GKH = 90, angle JKH must also equal 90, making these triangles similar. However, if you wish to see it done out mathematically, the following explanation is there:

[tex]a^{2} + b^{2} = c^{2}[/tex]

3.6^2 + HK^2 = 4.6^2

HK^2 = 4.6^2 - 3.6^2

HK^2 = 8.2

HK = 2.86

HK^2 + GK^2 = GH^2

8.2 + 12.96 = GH^2

GH = 4.6

Answer:

I think is the same formula area .A triangle is half as big as the rectangle that surrounds it, which is why the area of a triangle is one-half base times height.

Step-by-step explanation:

The area of a rectangle is given by the relation length* width. The area of a triangle is given by the relation (1/2)*base* height. Now we know that the two have the same area equal to 150 cm^2. Also, when placed on the same level the tip of the triangle touches the upper edge of the rectangle.

Answer:

54

Step-by-step explanation:

First take

9 + 9 = 18

Then,

126 - 18 = 108

Then,

108 / 2 = 54

Which is the height

Hope this helps you. :)

Have a good day!

This formula counts for both height and width when you have the area.

Answer:

1/2

Step-by-step explanation:

p(event) = (number of desired outcomes)/(total number of outcomes)

How many different outcomes are there? You can choose 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10, so the total number of possible outcomes is 10.

How many outcomes are desired. The desired outcomes are any outcomes with a number 6 or higher. Which numbers are 6 or higher? 6, 7, 8, 9, 10. There are 5 outcomes that are 6 or higher, so there are 5 desired outcomes.

p(event) = (number of desired outcomes)/(total number of outcomes)

p(event) = 5/10 = 1/2

Answer: 1/2

Look at the attached picture

Hope it will help you...

Good luck on your assignment

Answer:

(x-5) (x+4)

Step-by-step explanation:

x^2-x-20

What two terms multiply to -20 and add to -1

-5*4 = -20

-5+4 = -1

(x-5) (x+4)

Answer:

( x - 5 )( x + 4 )

Step-by-step explanation:

Answer:

Therefore, the equivalent expression is: 2*(x - 3)² + 2*(y + 5)² = 96. Number 4)

Step-by-step explanation:

In order to find the equivalent expression, lets first factor the common term, which is "2":

2*(x² - 6*x + y² + 10 *y - 14) = 0

If we look closely to the terms that have "x" and "y", they both have a square structure, therefore we can complete the squares by manipulating the indepent term. Let's first check the term with "x" and "y":

x² - 6*x + c² = x² - 2*3*x + c² = (x - c)²

y² + 10*y + d² = y² + 2*5*y + d²= (y + d)²

In order to complete the squares, c must be equal to 3 and d must be equal to 5. We can arrange that, by summing and subtracting these numbers squared, we have:

2*(x² - 6*x + 3² + y² + 10 *y +5² - 14 - 3² - 5²) = 0

2*(x² - 6*x + 3²) + 2*(y² + 10*y + 5²) -28 - 18 - 50 = 0

2*(x - 3)² + 2*(y + 5)² = 96

Therefore, the equivalent expression is: 2*(x - 3)² + 2*(y + 5)² = 96

Answer:

2*(x - 3)² + 2*(y + 5)² = 96.

Step-by-step explanation:

Answer:

161391

Step-by-step explanation:

138000 x 16.95/100 = 23391

138000 + 23391 = 161391

Answer:

R = 2.6 mm

Step-by-step explanation:

D = C ÷ π

D = 15.9 ÷ 3.14

D = 5.06

D = 5.1 mm

R = D ÷ 2

R = 5.1 ÷ 2

R = 2.55

R = 2.6 mm

Answer:

r = 2.5 mm

Step-by-step explanation:

The circumference of a circle has the following formula.

circumference = 2πr

where

r = radius

π = 3.14

circumference = 15.9 mm

circumference = 2πr

15.9 = 2 × 3.14 × r

15.9 = 6.28 r

divide both sides by 6.28

r = 15.9/6.28

r = 2.53184713376

Rounding to 1 decimal place

r = 2.5 mm

Answer:

Step-by-step explanation:

AB

away fram house

2km 4mins

rate: 1km\minute

BC

away from house

5km 6mins

rate:0.83km\minute

CD

niether

0km 9mins

no rate

DE

toward house

6km 15mins

0.4km\minute

Answer:

  199

Step-by-step explanation:

2004 is 24 years after 1980. The polynomial remainder theorem tells you the remainder from division by x-24 will be the function value c(24). We can find the remainder/function value by evaluating the function rewritten to Horner form:

  c(x) = ((0.006x -0.48)x +12.8)x +85

  c(24) = ((0.006(24) -0.48)(24) +12.8)(24) +85 = (-.336(24) +12.8)(24) +85

  = 4.736(24) +85 = 198.664

  c(24) ≈ 199

The approximate number of countries attending the 2004 Olympics was 199.

Answer:

433

Step-by-step explanation:

Break apart into 3 hundreds, 1 ten, and 2 ones.

745 - 300 = 445

445 - 10 = 435

435 - 2 = 433

Answer:

[3] [2] [300] [445] [445] [435] [435] [2] [433]

Step-by-step explanation:

3 hundreds 1 ten 2 ones

745-300 = 445

445 -10 = 435

435 -2 = 433

Answer:

10,305.99 cm^3

Step-by-step explanation:

V=4/3πr^3=4/3·π·13.5^3≈10305.9947

Answer:

523.5988in³

Step-by-step explanation:

input Data :

Length = 5 in

Objective :

Find what is volume of the sphere for given input data?

Formula :

Volume =

4πr3

3

Solution :

Volume =

4 x 3.1416 x 53

3

=

4 x 3.1416 x 125

3

=

1570.7963

3

Volume = 523.5988 in³

Answer:

1/7

Step-by-step explanation:

Another word for multiplicative inverse is reciprocal

It is the number  that when multiplied by the original number gives you one

7 * x = 1

Divide by 7

7x/7 = 1/7

x = 1/7

The multiplicative inverse of 7 is 1/7

Answer:

The multiplicative inverse of 7 is 1/7

Step-by-step explanation:

A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. For example, if you have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1.

Answer:

Yes

Step-by-step explanation:

You have to add 4 on both sides to get X by itself. Then, you solve for X by multiplying the Denominator.

Answer:

There is strong positive correlation between the size of a cell phone data plan and the number of text messages sent in the U.S.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent). The correlation coefficient  value ranges from -1 to +1.

Positive correlation is an association amid two variables in which both variables change in the same direction.  

A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

The closer the the correlation coefficient value gets to +1 or -1, the stronger relation becomes.

The correlation coefficient for the relationship  between the size of a cell phone data plan, x, and the number of text messages sent, y, is:

r = +0.97

The correlation coefficient is closer to +1.

Thus, there is strong positive correlation between the size of a cell phone data plan and the number of text messages sent in the U.S.

Answer:

D

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]

Thus for the given points

midpoint = [ 0.5(4 - 2), 0.5(8 - 6) ] = (1, 1 ) → D

Answer: 166

Step-by-step explanation:

Number of trophies = 3

Total Legos required for all trophies = 324

Number of Legos for largest trophy(A) = 220

Number of Legos for smallest trophy(B) = 135

Number of Legos required for final trophy(C)

=?

Total Legos = [Number of Legos for largest trophy(A) + Number of Legos for smallest trophy(B) + Number of Legos required for final trophy(C)]

324 = 220 +135 + C

324 = 355 + C

324 - 355 = C

-31 = C

135 + 31 = 166

Answer:

614 legos

Hope this helps.....

Answer:

h( x ) = ( x + 1 )^2 - 4 x(h)×(÷×1)^2-4

Answer:

Step-by-step explanation:

Recognize from examining this function h( x ) = ( x + 1 )^2 - 4 that it is a quadratic function whose graph is a parabola that opens up.  The vertex is at (h, k):  (-1, -4).  The axis of symmetry is the vertical line passing through the vertex:  x = -1.

To find the y-intercept, let x = 0 and solve for y:  h(0) = (0 + 1)^2 - 4 = -3.  Thus, the y-intercept is (-3, 0).

To find the x-intercepts, set y = 0 and solve for x:  0 = h(x) = (x + 1)^2 - 4, or

(x + 1)^2 = 4.  Taking the square root of both sides, we get x + 1 = ±2, whose roots are x = 1 and x = -3:  (1, 0) and (-3, 0).

Graph all of these points and the axis of symmetry.  Sketch the parabola that goes through these points.

Answer:

Grapes=19.51

Step-by-step explanation:

Apples=$2.19 per pound

Grapes=$2.60 per pound

Apples+Grapes=20 pounds

A+G=20

A=20-G

Equation is

PaA+PgG=35.80

2.19A+2.60G=35.80

2.19(20-G)+2.60G=35.80

43.8-2.19G+2.60G=35.80

43.8-0.41G=35.80

-0.41G=35.80-43.8

-0.41G=-8

Divide both sides by 0.41

G=19.51 pounds

Recall

A=20-G

A=20-19.51

A=0.49 pounds

They ordered 19.51 pounds of grapes.

let us say they ordered 'x' pound of grapes.

so, the quantity of apples ordered = (20-x) pound

it is given that

cost of the apple= $2.19 per pound

cost of the grapes= $2.60 per pound

according to the given scenario,

total cost = $35.80

the total cost will be the sum of the cost of apples as well as grapes.

2.60x + 2.19(20-x) =35.80

-0.41x = 8

x = -19.51 pounds

therefore, they ordered 19.51 pounds of grapes.

to get more about word problems refer to the link,

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Answer:

The set of all persons in America is a finite set.

The set of all birds in California is a finite set.

Step-by-step explanation: hope those help

Answer:

1 / 8

Step-by-step explanation:

There are 2 + 8 + 6 slips in total

There are 2 Wednesday slips.

2 / 16 = 1 / 8

Answer:

1: [tex]\frac{6}{14}[/tex]

2: [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

1: the number of yellow marbles is 6

  the number of marbles in the bag is 14

  the probability of yellow marbles out of the bag is

number of yellow marbles over number of marbles in the bag

2: there are only two sides

one head and one tail

head over tail is [tex]\frac{1}{2}[/tex]