Please help! Correct answer only!
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: 302 cm2

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of the cubes and the rectangular prism, and the then add them (minus the overlaps)

Surface area of a cube (SAC)= 6 x side length ^2  

Since one side of each cube is covered by each other, we simply have to multiply the area of one side by 5 instead of 6.

SAC = 5 x (2)^2 = 20 cm2

Since both cubes are equal, we simply multiply it by 2:

20 x 2 = 40 cm2 (surface area of the 2 green cubes)

Surface Area of a rectangular prism (SAP) = 2wl + 2lh + 2hw

Where:

w = width (5); l = length (11); h = height (5)

SAP = 2 (5x 11) + 2 (11 x5) + 2 (5x5) = 110+110+50=270 cm2

Finally, adding both surface areas, and subtracting the base area of the bottom cube covered by the prism multiplied by 2 ( overlap )

270+40-2(4) = 302 cm2

Answer:

The answer is 9

Step-by-step explanation:

56+(3x+7)=90 (In the picture it shows a 90 degree angle.)

Then, you can start solving the equation.

90-56=34

3x+7=34  (Subtract by 7)

3x=27 (Divide by 3 on both sides)

x=9

Answer:

Step-by-step explanation:

A

Answer:

i think its A happy to help ya :)

Step-by-step explanation:

Answer: C, a set of coords is only a function if it passes the vertical line test

Step-by-step explanation:

This is essentially the vertical line test. No two sets can have the same x value because it will fail the vertical line test. In answer a, -4 correlates to two y values. It fails the line test

B easily fails the test just by visually looking at it. It fails the line test

C has different x values so this looks promising. It passes the line test

D has the number 5 correlating with multiple y values. It fails the line test

Answer:

This does not factor

Step-by-step explanation:

2x^2-17x-35=0

Since the x^2 has a coefficient of 2

(2x    ) ( x     )

Looking at the factors of -35

-1 35       1, -35

-5   7       5, -7

We need to  get to -17

You cannot factor this

-

7 2

Step-by-step explanation:

Answer:

72^2 units

Step-by-step explanation:

A=a+b/2×h

A=12+6/2×8

A=18/2×8

A=9×8

A=72^2units

Answer:

550x100

Step-by-step explanation:

First divide 75000 by 100 to get 750. Then divide 750 by 15 to get 50. Lastly multiply 50 by 11 to get 550 and multiply 50 by 4 to get 100.

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

Answer:

slope = - 5

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (2, - 8)

m = [tex]\frac{-8-2}{2-0}[/tex] = [tex]\frac{-10}{2}[/tex] = - 5

The value of the gradient is -1/5.

In order to find the gradient of a line either of the two ways can be used. First, the equation of line should be written in terms of y, then the coefficient of x is the gradient.

The other method is to find the two points on the graph and then take the ratio of the difference of corresponding coordinates.

The given points are (0,2) and (2,-8).

Since the gradient of the line segment between points (x₁, y₁) and (x₂, y₂) is given as,

Gradient = (y₂-y₁)/(x₂-x₁)

Substitute the corresponding values to obtain,

Gradient = (2-0)/(-8-2)

               = -2/10

               = -1/5

Hence, the gradient of the line segment joining the points (0,2) and (2,-8) is -1/5.

To know more about gradient click on,

https://brainly.com/question/24200465

#SPJ2

Answer:

<1 = 119

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

<1 = 57+62

<1 = 119

Answer:

119

Step-by-step explanation:

Answer:

D and B is the answer

Step-by-step explanation:

Here is a graph with the points

Answer:

a

Step-by-step explanation:

b+8=13.

first,you have to make b the subject of the formula (stand alone) and for that to happen +8 will have to cross the equality sign.when a positive sign crosses over the equality sign it changes to a negative sign.

so that would be b=13-8

Therefore,b=5(a)

Answer:

16

Step-by-step explanation:

x^2 = whole * part

x^2 = (6+2) * 2

x^2 = 8*2

x^2 = 16

Answer:

16

Step-by-step explanation:

Hope this helps.

If you find answers that say 48 for this same problem, they are incorrect.  Please disregard them.

Answer:

70°

Step-by-step explanation:

RSTU is a kite,

Sum of 4 internal angles= 360°

m∠U=m∠S=80

m∠T= 360° - (130°+80°+80°)= 70°

Answer:

Step-by-step explanation:

(3,2) (4,5)

-4 on the left number (3 and 4)

-3 on the right number (2,5)

creates:

A'(-1,-1) AND B'(0,2)

Answer:$331.02

Step-by-step explanation:

you got it right on a p e x

Answer:

the answer is 15:75

Step-by-step explanation:

(1+5)=6

£90/6=15

So, (1×15):(5×15)

=15:75

Answer:

3n+m+2p

Step-by-step explanation:

group all like terms and solve.

so,

4n-n = 3n

-m + 2m = m

3p - p = 2p

Then, group them together: 3n+m+2p

Answer:

2x²  +  3x  - 1   - 5/(5x +2)

Step-by-step explanation:

               2x²  +  3x  - 1  

             __________________            

  5x + 2 |   10x³ + 19x² + x - 7

             |  -10x³ -   4x²  

             |              15x² + x

             |            - 15x² - 6x  

             |                     - 5x  - 7

             |                      5x   +2

             |                             - 5

2x²  +  3x  - 1   - 5/(5x +2)

Answer:

62.5 %

Step-by-step explanation:

Take the original amount and subtract the new amount

32-12 = 20

Divide by the original amount

20/32 =.625

Multiply by 100 to get to percent form

62.5 %

Answer:

24 units

Step-by-step explanation:

2πr(X/2π)

2π(8)(3/2π) = 24

Answer:

24cm

Step-by-step explanation:

i  got it right on khan

Answer:

x = -1 or x = -7

Step-by-step explanation:

y = (x + 4)^2 - 9​

To find x-intercept, set y = 0

=>  (x + 4)^2 - 9​ = 0

=>  ( x + 1)( x + 7) = 0

=> x = -1 or x = -7

To find the x intercepts, plug in y = 0 and solve for x

y = (x+4)^2 - 9

0 = (x+4)^2 - 9 ... replace y with 0

9 = (x+4)^2

(x+4)^2 = 9

x+4 = plus/minus sqrt(9)

x+4 = sqrt(9)  or   x+4 = -sqrt(9)

x+4 = 3   or   x+4 = -3

x = 3-4    or   x = -3-4

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

Checking each answer:

Plug x = -1 into the original equation. You should get y = 0 as a result

y = (x+4)^2 - 9

y = (-1+4)^2 - 9

y = (3)^2 - 9

y = 9-9

y = 0 .... so this confirms x = -1 as a solution

The same should apply for the other potential solution x = -7

y = (x+4)^2 - 9

y = (-7+4)^2 - 9

y = (-3)^2 - 9

y = 9-9

y = 0 .... this confirms x = -7 as well

Answer:

C.

Step-by-step explanation:

mVU = 70

According to a Theorem, mVU = 2(m<2)

So,

m<2 = mVU /2

m<2 = 70/2

m<2 = 35

Answer:

B.

Step-by-step explanation:

They all are alternating interior angles so they'll be congruent.

Answer:

B. Alternating interior angles are congruent

Step-by-step explanation:

The angles that are in the statements are all interior angles. When compared to each other, they lie on opposite sides of the transversal.

Answer:

Speed from NY to LA is 172 mph

Step-by-step explanation:

Let the jet’s speed from NY to LA be x mph.The speed form NY to LA would be (x-140) mph

Mathematically, we know that distance = speed * time

The total speed will x + x -140 = 2x-140

Now;

12(2x-140) = 2450

24x - 1680 = 2450

24x = 2450 + 1680

24x = 4130

x = 4130/24

x = 172.1 which is approximately 172 mph

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = [tex]\frac{1}{2}(\pi r^2h)[/tex]

                                                     = [tex](\frac{1}{2})(\pi )(17-11)^2(6)[/tex]

                                                     = 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

                                                      = 11 × 6 × 12

                                                      = 792 cubic inches

Volume of the solid figure = 339.29 + 792

                                            = 1131.29

                                            ≈ 1131 cubic inches

the slope of the line between c and d are  a constant meaning that he must have been riding at the same speed or something

d

Answer:

On the graph, the distance remains constant between points C and D over a period of time. Therefore, Daniel has stopped.

Answer:

[tex]-5[/tex]

Step-by-step explanation:

[tex]3x+4=-5y+8\\9x+11y=-8[/tex]

Rearrange the first equation and substitute it into the second equation.

[tex]3x=-5y+8-4\\3x=-5y-4[/tex]

(as we want 9x instead of 3x we are going to multiply this equation by 3)

[tex]9x=-15y-12\\-15y-12+11y=-8\\-4y=4\\y=-1[/tex]

Rearrange the first equation and substitute in our y value to solve for x.

[tex]3x+4=-5(-1)+8\\3x=5+8-4\\3x=9\\x=3[/tex]

Hence

[tex]y-x=-1-4=-5[/tex]

Answer:

The median is the 268th observation.

Step-by-step explanation:

The mean of a data set is the value representing the entire data set.

The formula to compute the mean is:

[tex]\text{Mean}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}[/tex]

The median of a data set is the middle most value in the data set.

For odd number of observations the median is given by:

[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]

For even number of observations the median is given by:

[tex]\text{Median}=\frac{[\frac{n}{2}]^{th}\ \text{observation}\ +\ [\frac{n}{2}+1]^{th}\ \text{observation}}{2}[/tex]

In this case the mean number of votes per state is:

[tex]\text{Mean}=\frac{\text{Total number of electoral votes}}{\text{Total number of states}}[/tex]

There are n = 535 observations, This value is an odd number.

Then the median of the electoral votes is:

[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]

           [tex]=[\frac{535+1}{2}]^{th}\ \text{observation}\\\\=268^{th}\ \text{observation}[/tex]

Thus, the median is the 268th observation.

Answer:

To determine the mean number of electoral votes, add all of the votes in the table and divide by  

✔ 50

.

There are a total of 535 electoral votes. The mean is  

✔ 10.7

votes per state.

The median of the electoral votes is  

✔ 8

.

Step-by-step explanation:

Answer:

20x + 12y

Step-by-step explanation:

4 times 5x = 20x

4 times 3y= 12y

Step-by-step explanation:

I am going to assume that the equivalent expression is fully simplified.

To simplify this expression, we use the distributive method.

Using this method we get:

4·(5x+3y) = 4·5x+4·3y

Now that we have the terms seperated, simplify each of them:

4·5x + 4·3y = 20x + 12y

Our expression is now fully simplified so our answer is:

20x + 12y