What is the volume of the rectangular prism?
(not drawn to scale)
4 in.
7 in.
2 in.
A 100 in
B 15 in
C 28 in
D 56 in
Helppp

Answer:

3 hrs

Step-by-step explanation:

Answer:

25/33

Step-by-step explanation:

Answer:

[tex]\frac{25}{33}[/tex]

Step-by-step explanation:

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.7575..... (1) ← multiply both sides by 100

100x = 75.7575... (2)

subtract (1) from (2) thus eliminating the repeating digits

99x = 75 ( divide both sides by 99 )

x = [tex]\frac{75}{99}[/tex] = [tex]\frac{25}{33}[/tex] ← in simplest form

The best option is to take the 100 points because the expected value of the points from the scratch-off card is less than 100 points option (A) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

Since, there is an equal number of cards of point 25, 100, and 120

P(x =25) = P(x =100) = P(x =200)  = 1/3

x:     25     100   120

P(x):   1/3    1/3     1/3

The expected value is:

E(x) = 25×(1/3) + 100×(1/3) + 125×(1/3)

E(x) = 245/3 < 300/3  = 100

Thus, the best option is to take the 100 points because the expected value of the points from the scratch-off card is less than 100 points option (A) is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Answer:

it's the 'D' ..............,..

To know the area of a regular hexagon:

  ⇒ must know the formula:

          [tex]Area = \frac{3\sqrt{3} }{2} s^2[/tex]

Consider the information given:

Let's solve:

  [tex]Area=\frac{3\sqrt{3} }{2} (5)^2=64.95cm^2[/tex]

Answer: 65.0 cm²

Hope that helps!

Answer:

64.1 cm²

Step-by-step explanation:

Central Angle = 360 °

∴ ∠AOB = 360 ° / 12

⇒ Tan 30° = AB/ 4 · 3

⇒ AB = 4.3 tan 30°

∴ (ΔAOB) = 1/2 × AB × OB

= 1/2 × 4.3 tan 30° × 4.3

= 5.34 cm

∴ Area of regular hexagon = 12 (a⊃(ΔAOB))

= 12 (5.34 cm²)

= 64.1 cm²

Answer:

Step-by-step explanation:

3x^2(x +2) = 3x^3 + 6x^2 is the answer

Answer:  False

Reason: It should be x-a instead of x+a

Answer:

32/22

Step-by-step explanation:

X+3Y= 6--------(1) ×6

6X-6Y=4--------(2)×1

6X+18Y=36---------(3)

6X-6Y= 4-----------(4)

subtracting equation(4)from (3)

22X = 32

x= 32/22

Answer: a

Step-by-step explanation:

Answer:

h ≥ 8 cm

Step-by-step explanation:

Solving :

V ≥ 32 cm³

a = 4 cm²

h ≥ 32/4

h ≥ 8 cm

Answer:

12 red balls

4 yellow balls

2 blue balls

2 green balls

Step-by-step explanation:

set no. of yellow, blue, red and green ball as y, b, r, g respectively

y=2b

r=3y

g=b

y+b+r+g = 20 (translate all of them into b (smallest in qty)

2b + b + 3(2b) + b = 20

10b = 20

b =2

y = 4, r = 12, b =2, g =2

Answer:

-2

Step-by-step explanation:

→ -9x + 1 = -x + 17

→ -9x + x = 17 - 1

→ -8x = 16

→ x = -16/8

→ [ x = -2 ]

we know that

the dimensions of the first garden are------> 5 ft x 3 ft

perimeter first garden=2*[5+3]-----> 16 ft

the dimensions of the second garden are---> (5*2) ft x (3*2) ft

10 ft x 6 ft

perimeter second garden=2*[10+6]-----> 32 ft

so

The answer is

32

A graph is a way to represent a lot of data in such a visual format. The correct option is C, he/she should use graph B.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

If an employee wants to request a raise, the graph he/she should use to support his or her case is graph B. Because that graph is showing all thought the company is earning good profit the salary of the employees is still reducing.

Hence, the correct option is C, he/she should use graph B.

Learn more about Graph:

https://brainly.com/question/21608293

#SPJ1

Answer: 0.5 and 2/4

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:
4+(-5) is basically 4-5 which is -1

[tex](\stackrel{x_1}{12}~,~\stackrel{y_1}{-7})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{(-7)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{12}}}\implies \cfrac{5+7}{-8}\implies \cfrac{12}{-8}\implies -\cfrac{3}{2}[/tex]

Answer:

A. 0.3204

B. 0.59049

Step-by-step explanation:

Data:

The total number of combinations:

= [tex](10)^5=100000[/tex]

A.

The number of ways = [tex]10*9*8*7=30240[/tex]

                                                                           [tex]\frac{30240}{100000}[/tex]

The probability for an event P taking place = [tex]=0.3024[/tex]

B.

Number of ways to arrange the subjects = [tex](9)^4=59049[/tex]

                             [tex]\frac{59049}{100000}[/tex]

The probability = [tex]=0.59049[/tex]

Answer:

volume

Step-by-step explanation:

the amount of space enclosed by an object or shape, how much 3-dimensional space

The appropriate hypotheses for this test are

Erica filled 70

Jen filled 10

Heather filled 10

Tonya filled 10

A company is started by four friends.

The company was Erica’s idea,

So she wants to fill 70% of the orders. Jen, Heather, and Tonya each agree to fill 10% of the orders.

A hypothesis is a statement that proposes a result that will be tested to get a verified result.

A hypothesis is not hundred percent true, that is why it is always put to test.

The hypothesis is singular while the hypothesis is plural.

Making a hypothesis in this case is an attempt to predict an answer or result that will be verified by doing the experiment.

We can conclude by saying that a hypothesis is not hundred percent true.

To learn more about the hypothesis visit:

brainly.com/question/606806

#SPJ2

Answer:

2/5    or 0.4

Step-by-step explanation:   i'm smart

Since we can choose 4 of the 15 toppings, we can order 1365 different types of pizzas with 4 toppings

Since the question says 'choose', it is a combination question and order is not important.

This is the number of ways in which x objects can be selected from n objects.

It is given mathematically as ⁿCₓ = n!/[r!(n - r)!]

Now given that we have 15 toppings for pizza and we want to choose any 4, So, we are choosing 15 toppings in 4 ways. So,

So, ¹⁵C₄ = 15!/4!(15 - 4)!

= 15!/4!11!

= 15 × 14 × 13 × 12 × 11!/4!11!

= 15 × 14 × 13 × 12/24

= 15 × 7 × 13

= 1365 ways

So, we can order 1365 different types of pizzas with 4 toppings

Learn more about combination here:

https://brainly.com/question/26852614

#SPJ1

First, i will multiply 122,222 x 0.09 which is equal to 10,999.98 Then, i will subtract 10,999.98 from 122,222 which is equal to 111,222.02. so the direct marketing sales this year are 111,222.02.

Answer: ac bd be 2bd

Step-by-step explanation: addion

Answer:

[tex]\boxed{\sf distance \: between \: the \: objects \: \: is \: 2.5 \: cm}[/tex]

Step-by-step explanation:

According to universal law of gravitation every object in the universe attracts every other particles that surrounds it with a force which is inversely proportional to the square of their distance of separation & directly proportional to

the product of their masses, given by standard formula.

[tex]A = G \cdot \frac{m_1.m_2}{ {d}^{2} } [/tex]

where A,d & G are force of attraction, distance of separation & proportionality constant respectively.

Given:

A1 = 2 units

d1= 5 cm

A2 = 8 units

To find:

Distance of separation when the force of attraction is 8 units d2 = ?

Solution:

Substituting the given values in above at each point,

[tex]A_1 = G \cdot \frac{m_1.m_2}{ {d_1}^{2} } \\ 2 = G \cdot \frac{m_1.m_2}{ {5}^{2} } \\ \sf similarly \: at \: second \: point \: of \: attraction \\ A_2 = G \cdot \frac{m_1.m_2}{ {d_2}^{2} } \\ 8 = G \cdot \frac{m_1.m_2}{ {d_2}^{2} } \\ \sf \: \: dividing \: both \: of \: the \: equation \\ \frac{2}{8} = \frac{G \cdot \frac{m_1.m_2}{ {5}^{2} }}{G \cdot \frac{m_1.m_2}{ {d_2}^{2} } } \\ \sf \: G \: m_1 and \: m_2 \: are \: \: constant \: hence \\ \sf they \: can \: be \: cancelled \: out \\ \frac{2}{8} = \frac{ \frac{1}{ {5}^{2} } }{ \frac{1}{ {d_2}^{2} } } \\ \sf rearranging \: above \: equation \\ \frac{1}{4} = \frac{{d_2}^{2} }{ {5}^{2} } \\ {d_2}^{2} = \frac{ {5}^{2} }{4 } \\ {d_2}^{2} = \frac{25}{4} \\ {d_2}^{2} = 6.25 \\ \sqrt{{d_2}^{2} } = \sqrt{6.25} \\ \boxed{ \sf{d_2} = 2.5 \: cm}[/tex]

Answer: the distance between the two objects is 2.5 cm, if the attraction between them is 8 units.

Learn more about universal law of gravitation here https://brainly.com/question/27244479

Thanks for joining brainly community!

Answer:

I have no idea I am so sorrt

Using the formula for calculating the area of a rhombus, the length of /AC/ is 44 units

From the question, we are to determine the length of AC

The area of a rhombus is given by

[tex]A = \frac{pq}{2}[/tex]

Where A is the area

p and q are the diagonals

Then, for the given diagram,

[tex]A = \frac{/DB/ \times /AC/}{2}[/tex]

From the given information,

A = 264 square units

/DB/ = 12 units

∴ [tex]264 = \frac{12\times /AC/}{2}[/tex]

[tex]264 = 6\times /AC/[/tex]

[tex]/AC/ = \frac{264}{6}[/tex]

/AC/ = 44 units

Hence, the length of /AC/ is 44 units

Learn more on Calculating the area of a Rhombus here: https://brainly.com/question/12735921

#SPJ1