pls help!
An empty container in the shape of a cube 6 inches deep is filled with plastic cubes. How many plastic cubes measuring 1 inch across each face will it take to fill the container? Enter your answer in the box.

Answer:

True

Step-by-step explanation:

The triangles are both right triangles, meaning they can be used with pythagorean theorem. If the triangles CAD and CBD share the same "hypotenuse" (CD), and they have a pair of congruent sides, they other pair of sides must be able to fit into the pythagorean theorem/

Using the binomial distribution, it is found that the probability that exactly three workers owns a car is given by:

A. 0.267.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that exactly three workers owns a car is given by P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{10,3}.(0.3)^{3}.(0.7)^{7} = 0.267[/tex]

Hence option A is correct.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

20.52 cm²

Step-by-step explanation:

[tex]\textsf{Area of a semicircle}=\sf \dfrac12\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

[tex]\textsf{Area of a triangle}=\sf \dfrac12bh \quad \textsf{(where b is the base and h is the height)}[/tex]

Given:

[tex]\begin{aligned}\implies \textsf{Shaded area} & =\sf \dfrac12\pi r^2-\sf \dfrac12bh\\ & = \sf \dfrac12 \cdot 3.14 \cdot 6^2-\dfrac12 \cdot 12 \cdot 6\\ & = \sf 56.52-36\\ ^& = \sf 20.52\:\:cm^2\end{aligned}[/tex]

Answer:

20.52cm^2

Step-by-step explanation:

from the picutre we can see that this is a semicircle with 2 right angle triangles inside it. to find the area we will solve for the semi circle then solve for the triangles and and subtract

circle area is [tex]\pi r^{2}[/tex] leaving the semicircle to be [tex]\frac{\pi r^{2} }{2}[/tex] for the semi circle

next we need the radius. since the diameter is given, we can solve for r by dividing it in two

12 ÷ 2 = 6

so the area of the semi circle is [tex]\frac{\pi 6^{2} }{2}[/tex]

this gives 18[tex]\pi[/tex]cm^2 if we simplify

next the triangles, since they are equal in size we can treat them as a square and stack them. this is because they have equal side lengths so when stacked they form a square:

base x height divided by 2 times 2 would be the normal process to find two equal triangles but you can see the division and multiplication cancel out

6x6= 36cm^2

finally subtracting the areas to find the shaded region and use 3.14 as pi

18[tex]\pi[/tex]cm^2 - 36cm^2 = 20.52cm^2

Answer:

DWest I think

Step-by-step explanation:

I dont really know if this is right so pls forgive me if this is wrong.

Answer:

If both objects started with no charge, they would carry opposite charges of the same magnitude after rubbing.

Step-by-step explanation:

When one insulator is rubbed against another, some electrons on one insulator might travel to the surface of the other insulator. Electrons are neither lost nor created in this process- they are just moved from one surface to the other.

Let the two insulators in this question be denoted as [tex]A[/tex] and [tex]B[/tex]. Assume that both insulators were initially not charged.

Let [tex]{\rm e}[/tex] denote the fundamental charge. Each electron carries a negative charge of [tex](-1\; {\rm e})[/tex]. Assume that [tex]n[/tex] electrons are moved from insulator [tex]A\![/tex] to insulator [tex]B\![/tex]:

In other words, the insulator that lost some electrons (which are negatively charged) now carries less negative charge and becomes positively charged. In contrast, the insulator that gained some electrons now carries more negatively charge becomes negatively charged.

The amount of electrons on the two objects combined stays unchanged. Thus, the amount of charge one insulator lost is equal to what the other insulator gained. Therefore, the sign of the charge on the two insulators would be different, but the magnitude (absolute value) of the charge would be equal.

Therefore, the two objects would be oppositely charged, with the magnitude of the charge on them being equal.

Answer:

volume of cuboid = lbh = 8.2 ft x 9.4 ft x 10.7 ft

= 824.8 ft^3

Answer:

-> (x,y) => (1,5)

Step-by-step explanation:

Let's solve your system by elimination.

18x−7y=−17;3x−3y=−12

Multiply the second equation by -6, then add the equations together.

(18x−7y=−17)

−6(3x−3y=−12)

Becomes:

18x−7y=−17

−18x+18y=72

Add these equations to eliminate x:

11y=55

Then solve 11y=55for y:

11y=55

11y/11 = 55/11

(Divide both sides by 11)

y=5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

18x−7y=−17

Substitute5foryin18x−7y=−17:

18x−(7)(5)=−17

18x−35=−17(Simplify both sides of the equation)

18x−35+35=−17+35(Add 35 to both sides)

18x=18

18x/18 = 18/18

(Divide both sides by 18)

x=1

Answer:

The angle is 90°, and the type of angle is a right angle.

Step-by-step explanation:

That is a right angle, the little box and the straight lines indicate that is one. A right angle will always be 90°.

Answer:

To convert 30 yards to feet, multiply by 3.

Step-by-step explanation:

We have to find out how many feet is in 1 yard and we have to multiply by 3 to find the answer. So the answer is multiply by 3

Answer:

Step-by-step explanation:

[tex]3\times 5 +4 \times 2- 3\\\\=15+8-3\\\\=12+8\\\\=20[/tex]

Answer:

£828

Step-by-step explanation:

The first step to solve this problem is to find the surface area of the solid box. The formula for surface area for a rectangular prism is [tex]2(wl+hl+hw)[/tex]where w is width, l is length, and h is height. Plugging values in gives [tex]2(90*90+70*90+70*90)=41400[/tex] cm^2.

Because each cm^2 of paint costs £0.02, a ratio can be created.

[tex]\frac{1}{0.02} =\frac{41400}{x}[/tex]

Cross multiplying gives: [tex]x=828[/tex], so to paint the whole outside of the box, it would cost £828.

side of rhombus: 2.44 inch

Use the sine rule:

[tex]\sf \dfrac{sin(A)}{a} = \dfrac{sin(B)}{b}[/tex]

=============                       Let the side be "b"

[tex]\rightarrow \sf \dfrac{sin(110)}{4} = \dfrac{sin(35)}{b}[/tex]

[tex]\rightarrow \sf b = \dfrac{sin(35)*4}{sin(110)}[/tex]

[tex]\rightarrow \sf b = 2.441549178[/tex]

[tex]\rightarrow \sf b =2.44 \ in[/tex]

Answer:

3.5 in (nearest tenth)

Step-by-step explanation:

Properties of a rhombus:

Therefore, a rhombus is made up of 4 congruent right triangles.

** see attached diagram **

To find the side length of the rhombus, we need to calculate the hypotenuse of the right triangle.

As the shorter diagonal is 4 in, the base of the right triangle is 2 in

The angles that measure 110° are the angles by the shorter diagonal.  Therefore, the base angle of the right triangle is 55°

Using cos trig ratio:

[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

[tex]\implies \sf \cos(55^{\circ})=\dfrac{2}{x}[/tex]

[tex]\implies \sf x=\dfrac{2}{\cos(55^{\circ})}[/tex]

[tex]\implies \sf x=3.486893591...[/tex]

Therefore, the side of the rhombus is 3.5 in (nearest tenth)

Step-by-step explanation:

Angle of a circle = 360

x + 90 + 84 + 16 = 360

x + 190 = 360

x = 170°

Answer:

x=1 y=4

Step-by-step explanation:

5x+y=9

10x-7y=-18

-35x-7y=-63

-45x=-45

x=1

y=4

(10)-(28)=18

Brainliest would be appreciated

Answer:

x=1 y=4

Step-by-step explanation:

a

Answer:

option A is the correct answer

Answer:

14

Step-by-step explanation:

1. Add 7 to both sides

2. This leaves us with x=14

Answer:

x^3 / 6

Step-by-step explanation:

Multiply the three dimensions to get the volume

x * x/2 * x/3 =  

The expression represents the volume of the prism that will be, x³/6. The expression is obtained by finding the volume of the rectangular prism for the given data.

It is defined as the combination of constants and variables with mathematical operators.

It is given that, the length is x, width x/2, and height is x/3.

The volume of the rectangular prism is the product of the length, width, and height.

V= length × width × height

V=x × x/2 × x/3

Apply the multiplication operation in the fraction

Simply multiply the numerators to obtain the product's numerator and the denominators to obtain the product's denominator in order to multiply two fractions.

V=x³/6

Thus, the expression represents the volume of the prism that will be, x³/6. The expression is obtained by finding the volume of the rectangular prism for the given data.

Learn more about the expression here:

brainly.com/question/14083225

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Answer:

Step-by-step explanation:

the median is 26.5, but rounding that up the median will be 27. you can find this by determining the middle number of the data set.

Answer:

B)

E)

Step-by-step explanation:

       translation                                   Dilation

M(x,y) ——————>M”(x”,y”)=(x+5,y+8) ——————> M’(x’,y’)=(3x”,3y”)

S(-5,-8) ——————>S”(x”,y”)=(0,0) ——————> S’(x’,y’)=(0,0)

R(-7,-6) ——————>R”(x”,y”)=(-2,2) ——————> R’(x’,y’)=(-6,6)

Q(-8,-10) ——————>Q”(x”,y”)=(-3,-2) ——————> Q’(x’,y’)=(-9,-6)

x=8

Hope it helps.

Do comment if you have any query.

[tex]12x-5 = 91\\\\\implies 12x = 91+5\\\\\implies 12x = 96 \\\\\implies x= \dfrac{96}{12}\\\\\implies x = 8[/tex]

Step-by-step explanation:

so first you must calculate the total amount of marbles there are, that being addition : 1+4+2+6+4+5 = 24 in total. now you want to make that into a fraction, 24/24 marbles, once again all together, so the probability of not getting a black marble is 5/24 and probability of not getting a green is 2/24.

Answer:

this equation has 1 answer

Step-by-step explanation:

x = 2

Answer:

(5,0)

Step-by-step explanation:

The # 5 is on the x axis and there is no value for the y since it is 0. This means that this ordered pair will be located on the x-axis.

Answer:

10 grams

Step-by-step explanation:

200 x 5 = 1000

If we move the decimal over two places left we get :

10.00

That means that there are 10 grams of sugar in 200 grams of 5% sugar syrup

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Have a nice day.

Answer:

12

Step-by-step explanation:

The number of blocks in each row, from bottom to top, is: 23, 23, 23, 21, 19, 17, 15, 13, 11.

Step 1: Let's assume the number of blocks in each row of the bottom 3 rows is "x."

Step 2: The next six rows will each have 2 blocks fewer than the row below it. So, the number of blocks in each of these rows can be represented as:

x - 2, x - 4, x - 6, x - 8, x - 10, x - 12.

Step 3: Now, we can calculate the total number of blocks in all the rows.

For the bottom 3 rows, there are a total of 3 * x = 3x blocks.

For the next six rows, there are a total of (x - 2) + (x - 4) + (x - 6) + (x - 8) + (x - 10) + (x - 12) = 6x - 42 blocks.

Step 4: The total number of blocks in the wall is given as 165 blocks. So, we can set up an equation:

3x + 6x - 42 = 165

Step 5: Now, solve for x:

9x - 42 = 165

9x = 165 + 42

9x = 207

x = 207 / 9

x = 23

Step 6: Now that we have the value of x, we can find the number of blocks in each row:

The bottom 3 rows: x = 23 blocks each.

The next six rows:

x - 2 = 23 - 2

       = 21 blocks,

x - 4 = 23 - 4

       = 19 blocks,

x - 6 = 23 - 6

       = 17 blocks,

x - 8 = 23 - 8

        = 15 blocks,

x - 10 = 23 - 10

         = 13 blocks,

x - 12 = 23 - 12

         = 11 blocks.

So, the number of blocks in each row, from bottom to top, is: 23, 23, 23, 21, 19, 17, 15, 13, 11.

To know more about blocks:

https://brainly.com/question/13004935

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Answer:X + (2 and 1/2) - 3/4 = 5 and 1/4

X + 2 and 2/4 - 3/4 = 5 and 1/4 <--- common denominator

X + 10/4 - 3/4 = 21/4

X + 7/4 = 21/4

X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2