Suppose a bag contains many marbles, 54% of which are purple. You draw 5 marbles from the bag with replacement.

(a) Find the probability that you draw exactly 2 purple marbles

(b) Find the expected value of the number of purple marbles.

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

The degree of the polynomial 6x^3 y^6 + 2xy + x^4 is 6

From the question, we have the following parameters that can be used in our computation:

6x^3 y^6 + 2xy + x^4

The degree of a polynomial is the highest degree of its terms.

In the polynomial 6x^3 y^6 + 2xy + x^4, the variable is y and the highest power of the variable y is 6

Hence, the degree of the polynomial is 6

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Answer:

The answer is 9

Answer:

58

Step-by-step explanation:

There would be 58 nickels and 42 dimes. This can be found out by

1. 100 - 16 = 84

2. 84/2 = 42

3. 42 + 16 = 58

making 42 dimes and 58 nickels.

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

use caculator or this site

Step-by-step explanation:

https://sites.math.washington.edu/~colling/HSMath120/TB201112.pdf

Answer:

Step-by-step explanation:

p(x) = 4 (x - 2)^2 (x - (-2)), since, in general,  a is a zero of multiplicity m of a polynomial if (x - a)^m is a factor of the polynomial and (x-a)^(m+1) is not a factor, and A is the leading coefficient of the polynomial if the polynomial is written as A(x - a1)^m1 (x - a2)^m2 ... (x - aN)^mN.

Thus,

p(x) = 4 (x - 2)^2 (x + 2)

p(x) = 4 (x - 2)(x^2 - 4)

p(x) = 4 ( x^3 -4x - 2x^2 + 8)

p(x) = 4x^3 - 16x - 8x^2 + 32

p(x) = 4x^3 - 8x^2 - 16x + 32

The equation for the left side of the figure is y = -3x + 4. This equation is in slope-intercept form and describes a line with slope -3 and y-intercept 4.

The equation for the right side of the figure is y = x + 2. This equation is also in slope-intercept form and describes a line with slope 1 and y-intercept 2.

Answer: x = 8

Step-by-step explanation:

3 (6) + 2x = 34

4.2 x 10^8 is  2*10^6  times the value of 2.1 x 10^2 when division is performed.

The concept that will be used to solve the question is division operation.

We were given 4.2 x 10^8 which is greater than  2.1 x 10^2

The operation can be expressed as :

4.2 x 10^8 =( n *2.1 x 10^2)

where n = the number of times that 4.2 x 10^8  is greater than 2.1 x 10^2

Then make n the subject of the formular which is

n = 4.2 x 10^8/2.1 x 10^2

n = 2*10^6

Therefore, the values of 4.2 x 10^8 is greater than 2.1 x 10^2 in 2*10^6 times.

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Given expression,

Option B is correct.

Option A is correct.

Option D is correct.

Option C is correct.

(5x2 + 2x + 1) + (6x2 − 3x + 9) is equivalent to expression

B

(-3x2 + 6x − 12) + (5x + 9) is equivalent to expression

A

(8x + 16) − (3x2 − 3x − 15) is equivalent to expression

D

(5x2 + 23x − 7) − (x2 − 4x + 21) is equivalent to expression

C

Got it right on Edmentum

\(x^2-8x+10=x^2-8x+16-6=(x-4)^2-6\)

Answer:

There is no equation?

Step-by-step explanation:

Answer:

41 mph ...............

Answer:

the asnwer is 3.23

Step-by-step explanation:

Answer:

D. x = 21

Step-by-step explanation:

So a straight line is equal to 180º and that's what we're trying to figure out here. Set both equations to equal 180, it should look like:

5x + 4x - 9 = 180

Now we just solve!

5x + 4x - 9 = 180

5x + 4x = 9x

9x - 9 = 180

     +9     +9

------------------

9x = 189

Divide both sides by 9 to get x by itself.

189/9 = 21

x = 21

An inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.

Let d represent the amount of cash in dollars and p represent the amount of prizes.

Since the  grand prize winner is guaranteed to win at least $500,

So, p + d ≥ 500

Therefore, an inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.

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The length of the diagonal of the box is approximately 31 units.

Diagonal, d, = √(length² + width² + height²)

Given:

RV=29

RS = 21

RT= 24

Thus:

length of the box = ST = ?

Use Pythagorean Theorem to find ST:

ST = √(RT² - RS²)

Substitute

ST = √(24² - 21²)

ST = 12

Height of the box = SV = ?

Use Pythagorean Theorem to find SV:

SV = √(RV² - RS²)

Substitute

SV = √(29² - 21²)

SV = 20

Find the diagonal of the box, RU:

RU = √(ST² + RS² + SV²)

Substitute

RU = √(12² + 21² + 20²)

RU = 31 units.

Therefore, the length of the diagonal of the box is approximately 31 units.

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Answer:

x< -4/1 or x > 6/5

If our answers are different, just say so :)

Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

Answer:

1/4 miles

Step-by-step explanation:

Hey there!

Well starting at Campbell and going to Morristown it is 1/4 miles.

Going from Campbell to Clarksville it is 2/4 miles.

So to find the difference we’ll subtract.

2/4 - 1/4

= 1/4 miles

Hope this helps :)

The dimension of the rectangular of a norman window will be 1.6803*3.3606.

What is the area of Rectangle?

In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.

Let r represents the radius, and b be the breadth.

Then, perimeter = 3.14*r+2r+2b = 12

For the dimension needed for the most light to enter we need to maximize the area.

Hence, area of the window : area of the semicircle + area of the rectangle

= \(\frac{3.14*r^2}{2} + 2rb\)

= \(12r - (\frac{3.14+4}{2}) r^2\)

A'(r) = 0

Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m

From this value of r we can calculate the value of b to be;

b= 1.6803m

Thus, a= 3.606m

Thus the required dimension is : 1.6803*33606

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Answer:

Step-by-step explanation:

d=3n

0.10d+0.05n=1.40

0.10(3n)+0.05=1.40

0.3n+0.05n=1.40

0.35n=1.40

n=4

d=3(4)

d=12

12(0.10)+.05(4)=1.40

1.40=1.40

Answer:

Step-by-step explanation:

Let y represent the number of yellow sweatshirts sold. Then the total revenue is ...

  $11.95(25 -y) +$12.50(y) = $304.25

  $0.55y +$298.75 = $304.25 . . . simplify

  $0.55y = $5.50 . . . . . . subtract $298.75

  y = 10 . . . . . . . . . . divide by $0.55

  25-y = 15 . . . . the number of white sweatshirts sold

10 yellow and 15 white sweatshirts were sold.

Answer:

1/16 D

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

Multiply top with top and bottom with bottom

1/8 * 3/6 = (1*3)/(8*6) = 3/48

3 goes into 48

16 times

The answer is 1/16

The correct answer is 1/16 even though 3/48 is also correct. The question directions you to simplify.

Answer:

2 pairs

Step-by-step explanation:

If we convert 3 3/5 into an informal fraction, it would be 18/5 (3*5+3 for the numerator) and 1 4/5 would be 9/5 (1*5+4 for the numerator). 18/5 divided by 9/5 is the same as 18/5 * 5/9 (the reciprocal of 9/5) which equals 2. Therefore she can make 2 pairs of pants.

Answer: 120 ice creams total

The answer is option D