Please help! Correct answer only! This assignment is due today.
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

Write your answer as a decimal rounded to four decimal places.

Answer:

A fourth degree polynomial:

[tex]2x^{4} + 10x^{3} + 21[/tex]

The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial. For example

(10x^2 + 12) + (x^2 + 6) = 11x^2 + 18

This demonstrates closure because 11x^2 + 18 is also a polynomial

Step-by-step explanation:

Part A: [tex]x^{4}+2x+20[/tex] is a fourth degree polynomial with three terms and it proved that it is in standard form

Part B: Closure property has been proved in the addition of polynomials

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Part A

Example of fourth degree polynomial with three terms is

[tex]x^{4}+2x+20[/tex]

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on

Hence, it is a standard form

Part B

The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial

Example

(2x+6)+(5x+2)= 7x+8

Hence, the Closure property has been proved in the addition of polynomial

Learn more about Polynomial here

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Answer:

t =1

Step-by-step explanation:

3t - 18 = 4(-3-3/4t)

Distribute

3t - 18 = -12 -3t

Add 3t to each side

3t -18+3t = -12 -3t+3t

6t -18 =-12

Add 18

6t -18+18 = -12+18

6t = 6

Divide by 6

6t/6 = 6/6

t =1

Answer:

t = 1

Step-by-step explanation:

start by distributing the 4 to whats in the parentheses.

4 (-3 - 3/4t)

-12 - 3t

*helpful tip: if you multiply a fraction by its denominator the product is equal to its numerator

now you have:

3t - 18 = -12 - 3t

add 18 to both sides

3t = 6 - 3t

add 3t to both sides

6t = 6

divide both sides by 6

t = 1

Answer:

[tex]82[/tex]

Step-by-step explanation:

[tex]24+74+x=180[/tex]

[tex]98+x=180[/tex]

[tex]x=180-98[/tex]

[tex]x=82[/tex]

Answer:

x =82

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees

24+74+x = 180

Combine like terms

98+x = 180

Subtract 98 from each side

98+x-98= 180-98

x =82

Answer:

[tex]47.25\[/tex]

Step-by-step explanation:

[tex]42 \times 1.125[/tex]

[tex]=47.25[/tex]

Answer:

$25.2

Step-by-step explanation:

Answer:5/3

Step-by-step explanation:

choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3

Answer:

3 – 5.5 + 1.5

Step-by-step explanation:

The number line described above is 3 – 5.5 + 1.5

Starting from our midpoint '0'

It moves 3 units to the right direction = +3

Then from that point '+3', it moves to '-2.5' which is 5.5 units to the left = -5.5. Then finally moves from '-2.5' to to '-1' which is 1.5 units towards the right direction = +1.5

Therefore, we finally have ;

+3 - 5.5 + 1.5

Answer:

B) 3 - 5.5 + 1.5

Answer: (-2,2)

see below

Step-by-step explanation:

Answer:

k = 29

Step-by-step explanation:

The sum of the two angles is 180 since they form a straight line

5k-3 + 9+k = 180

Combine like terms

6k +6 = 180

Subtract 6 from each side

6k = 174

Divide each side by 6

6k/6 = 174/6

k =29

Answer:

k=29

Step-by-step explanation:

Answer:

1. (4,2) and (-2,-4)

2. (6,3) and (3,-6)

3. (1,8) and (7,-4)

Step-by-step explanation:

number sweet is 35

we divided ratio  =4x:3x

total  = 4x+3x

7x= 35

= 35/7

x= 5

1 st part will be 4x = 4*5= 20 sweets.

2 nd part will be 3x = 3*5= 15sweets

Answer:

5 meters

Step-by-step explanation:

The perimeter of a rectangle can be expressed as 2l+2w.

2l+2w=50

l=w+15

Substitute:

2(w+15)+2w=50

2w+30+2w=50

4w+30=50

4w=20

w=5

Hope this helps!

Since the number is a fraction make a number line using fractions. The inequality sign includes being equal to, so add a solid dot on -5/2 and since x is less than that, draw an arrow pointing to the left.

See attached drawing.

For interval notation since x can be any number less than or equal to -5/2 it would be written as (-∞, -5/2]

Answer:

A) 84.78

B) 42.39

Step-by-step explanation:

A)

[tex]\pi r^2 h= \\\\3.14 \cdot 3^2 \cdot 3= \\\\84.78[/tex]

B)

[tex]\pi r^2 h= \\\\3.14 \cdot 1.5^2 \cdot 6=\\\\42.39[/tex]

Hope this helps!

Step-by-step explanation:

EL ÁNGULO DE LA LINEA HORIZONTAL ES 0° EL ÁNGULO DE LA LINEA

VERTICAL ES 90° Y EL ÁNGULO DE LA LINEA DE ENMEDIO ES 3=° CON

RESPECTO A LA VERTICAL. ES DECIR 55° CON RESPECTO A LA

HORIZOANTAL, PERO ESTÁ ESCRITO 5x!, ENTONCES

5x° = 55°

DESPEJA x

x = 55°/5° = 11

Answer:

-46

Step-by-step explanation:

4 - 2(a^2 – b^2)^2 =

= 4 - 2(3^2 – 2^2)^2

= 4 - 2(9 - 4)^2

= 4 - 2(5)^2

= 4 - 2(25)

= 4 - 50

= -46

Answer:

= -46

Step-by-step explanation:

4 - 2(a² - b²)²

= 4 - 2(3² - 2²)²

= 4 - 2(9 - 4)²

= 4 - 2(5)²

= 4 - 2(25)

= 4 - 50

= -46

Answer:

a) n = 3

b) every 9 cm represents 175,000 km

Step-by-step explanation:

a) 20 min : 1 hour

Let's convert it into same units

⇒20 min : 60 min

÷ 20        ÷ 20

⇒ 1 : 3

So n = 3

b) 1 : 25,000

Which means every 1 cm on the map represents 25,000 km

And,

1 cm = 25,000 km

So,

9 cm = 25,000 × 9

9 cm = 175,000 km

So every 9 cm represents 175,000 km

Answer:

a) 3

b) 2.25 km

Step-by-step explanation:

a) 20 min : 1 hour = 1 : n

20 min : 60 min= 1 :3

n=3

b) 1: 25000 scale

1 mm : 25000 mm

9 cm = 90 mm

90 mm : 90*25000 mm

9 cm : 2250000 mm

9 cm : 2.25 km

Answer:

2261.95

Step-by-step explanation:

A=2πrh+2πr2

Answer:

2261.9

Step-by-step explanation:

the other users answer was correct, but not with 1 decimal place

Answer:

The difference is 11 units

Step-by-step explanation:

When we talk of the abscissa, we are referring to the x-axis.

So what this question is asking us is the difference between the values of the x-axis

At point A, the value is 4 while at point B, the value here is -7

So the difference between this two would be 4-(-7) = 4 + 7 = 11 units

Answer:

C

Step-by-step explanation:

Let's just look at the point G(3) = 3

this point only occurs through one equation which is

g(x) = (1/3)x^2

Answer:

The answer is 1/3x^2 or in your case C.

Step-by-step explanation:

Well I just add the points on Desmos graphing.  The 3rd one was able to hit the points (3,3) and (-3,3). The others did not.

Answer:

The volume of a cone is:

V=(hπr^2)/3, where h=height and r=radius  

V=(7π4^2)/3

V=112π/3 ft^3

V≈117.29 ft^3  (to nearest hundredth of a cubic foot)

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\sqrt{\frac{4x^2}{3y} }[/tex]

= [tex]\frac{\sqrt{4x^2} }{\sqrt{3y} }[/tex]

= [tex]\frac{2x}{\sqrt{3y} }[/tex]

Rationalise the denominator by multiplying the numerator/ denominator by [tex]\sqrt{3y}[/tex]

Note that [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a

= [tex]\frac{2x}{\sqrt{3y} }[/tex] × [tex]\frac{\sqrt{3y} }{\sqrt{3y} }[/tex]

= [tex]\frac{2x\sqrt{3y} }{3y}[/tex]

Answer:

(x + 3) × (2x - 7)

Step-by-step explanation:

2x² - x - 21

Write as a difference

2x² + 6x - 7x - 21

Factor the expressions

2x × (x + 3) - 7 (x + 3)

Factor the expression

(x +3) × (2x - 7)

Answer:

Step-by-step explanation:

Answer:

x= 8, 3

Step-by-Step Explanation:

[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]

[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]

Answer:

2.

Step-by-step explanation:

(4x-5)(x+3)

=4x^2+12x-5x-15

=4x^2+7x-15

Answer:

12 4/3 =40

Step-by-step explanation:

I hope that help u

Answer:

2 x 10^-2

Step-by-step explanation:

0.02 equals to 2/100

therefore 0.02= 2/102 (remember this is negative)

= 2x10^-2 (therefore -2)

The solution to the number 0.02 in scientific notation is 2 * 10⁻²

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

Number = 0.02

Multiply the number by 1

So, we have

Number = 0.02 * 1

Express 1 as 100/100

So, we have the following representation

Number = 0.02 * 100/100

Next, we have

Number = 2 * 1/100

Express 1/100 as 10⁻²

So, we have

Number = 2 * 10⁻²

Hence, the solution is 2 * 10⁻²

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Answer: False

Step-by-step explanation: 18 is a multiple of 3 and doesn't end in 6 or 9.

Answer:

True

Step-by-step explanation: