5. What is the volume of the triangular
prism?
a) 480 cm3
b) 192 cm3
c) 240 cm
d) 384 cm3

The probabilities of the events are P(A) = 4/7. P(B) = 1/2, P(A and B) = 1/7, P(A | B) = 2/7 and P(B) * P(A | B) = 1/7

The probability that equals P(A and B) is P(B) * P(A | B)

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

The Venn diagram

Where, we have

A = 8

B = 7

A and B = 2

Neither = 1

Total = 14

So, we have

P(A) = 8/14 = 4/7

P(B) = 7/14 = 1/2

P(A and B) = 2/14 = 1/7

P(A | B) = (1/7)/(1/2) = 2/7

P(B) * P(A | B) = 1/2 * 2/7 = 1/7

In (a), we have

P(A and B) = 1/7

Also, we have

P(B) * P(A | B) = 1/7

This means that the probability that equals P(A and B) is P(B) * P(A | B)

Read more about probability at

https://brainly.com/question/251701

#SPJ1

Answer:

The question is uncomplete.

Step-by-step explanation:

Sorry but after you said

"which of the following must be true about the shape of the backyard." you didn't list possibilities after that. sorry

The statement that is true about the shape of the backyard is that: it is a rhombus.

A rhombus is a quadrilateral whose adjacent sides have equal lengths, that is, they are congruent.

Thus, since the four-sdied backyard is in the shape of a parallelogram and also has two adjacent sides that are congruent (30 ft each), then it is a rhombus.

Therefore, the statement that is true about the shape of the backyard is that: it is a rhombus.

Learn more about rhombus on:

https://brainly.com/question/20627264

Answer:

?????

Step-by-step explanation:

12x 0.25=?          ?x 5= $?

Answer:

2/5 or the third one

Step-by-step explanation:

The first two are 1/2 after they are simplified and the second two are just below or just above one half, the last one is above and the third one is below.

Answer:

2/5

Step-by-step explanation:

Convert all fractions to have a common denominator

4, 10, and 5 can all be multiplied to equal 20

As a result, we will use 20 for the common denominator

What multiplied by 4 equals 20? 5 × 4 = 20

What multiplied by 10 equals 20? 2 × 10 = 20

What multiplied by 5 equals 20? 4 × 5 = 20

If we multiply this to the denominator, we must also multiply the same number to the numerator

Starting from left to right:

2 × 5 / 4 × 5 = 10/20

5 × 2 / 10 × 2 = 10/20

2 × 4 / 5 × 4 = 8/20

3 × 5 / 4 × 5 = 15/20

Compare: 10/20, 10/20, 8/20, 15/20

Which fraction has the smallest numerator?

8/20 as 8 is less than 15 and 10

Which fraction was 8/20? Check back to our work.

8/20 = 2/5

2/5 is the least

9514 1404 393

Answer:

  g(x) = (x -3)(x -2+√7)(x -2 -√7)

Step-by-step explanation:

Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.

  g(x) = (x -3)(x^2 -4x -3)

The quadratic is not factorable over integers. Its vertex form is ...

  (x -2)^2 -7

so its roots are x = 2±√7.

That means the linear factorization of g(x) is ...

  g(x) = (x -3)(x -2-√7)(x -2+√7)

_____

I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.

Answer:

ln(2) - ln(7)

Step-by-step explanation:

Logarithmic expressions are represented using ln or log keywords

The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

The expression is given as:

[tex]\mathbf{ln(2/7)}[/tex]

The quotient rule of logarithm states that:

[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]

So, by comparison:

a = 2, and b = 7

So, we have:

[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]

Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

Read more about logarithms at:

https://brainly.com/question/9665281

Answer:

The answers are as follows:

Step-by-step explanation:

A --> (-1,0) , x-axis

B --> (2,-3) , Q IV

C --> (4,2) , Q I

D --> (-1,5) , Q II

E --> (-3,-4) , Q III

Answer:

9.055

Step-by-step explanation:

Answer: 1. C(12) 2. B(n-1-14) 3. A(30)

Step-by-step explanation: For number one the nth term with common difference d and first term a is a+(n-1)d=nth term, plug in the values you have and solve for n to get 12. For number 2 an algebraic expression has a variable and a constant but doesn't have an equal sign. So it is B. For number three just add them up. Hope this helped!  

Answer:

no, 202 is not evenly divisible by 5

Step-by-step explanation:

Answer:

I'm not 100 percent sure but I think it's the first answer choice because at 40000 3 years have passed. Hope this helps :)

Answer:

The machinery ages three years for every $10,000 loss in value.

Step-by-step explanation:

We can see from the graph that each year, the machinery loses a value of $5,000 (Goes from $50,000 to $45,000 after year one, from $45,000 to $40,000 after year two etc). So we can discount the last two answers.

If it loses $5,000 each year, it loses $15,00 after ageing three years, and $25,00 after five years. Though neither of the first two answers correspond to this, the first answer is closest.

Answer:

absolute error: 7 pounds

percent error:4.9%

Step-by-step explanation:

Absolute error:

150-143=7 pounds

Percent error:

=l[tex]\frac{150-143}{143}[/tex] l x 100

=l[tex]\frac{7}{143}[/tex]l x 100

=0.04895x100

=4.895...

=4.9%

Answer15 y-int. (sety=0) 5%-15 (set x=0) x=3. 13,0).

Step-by-step explanation:

To construct an octagonal box, you will need to cut eight rectangular pieces of equal size and eight regular octagons with equal sides. After cutting the pieces, fold them in a way that forms the octagonal box.

In an octagonal box shaped like an octagonal prism, the base is an octagon. Since the question does not provide specific measurements or angles for the octagon, we will assume that all the sides and angles of the octagon are equal. Let's denote the length of each side of the octagon as "s."

Area of the octagon = 2(1 + √2) * s^2

Where s is the length of each side.

An octagonal box is a type of prism that has eight equal sides and is shaped like a polygon. It has 8 vertices, 12 edges, and 6 faces.

The top and bottom faces are regular octagons, while the remaining faces are rectangles that connect the sides of the octagons.

Octagonal boxes can be used for various purposes, including storage, decoration, and shipping.

They are durable and can protect the contents inside from damage. In unit 7 lesson 12 cool down 12.5, you might be required to construct an octagonal box.

To learn more about : rectangular

https://brainly.com/question/25292087

#SPJ8

Answer:

XX, YY, ZZ

Step-by-step explanation:

Answer:21

Step-by-step explanation:simple

Answer:

2 orders if you wash 7.

1 order if you was all of them.

9514 1404 393

Answer:

  (b)  One

Step-by-step explanation:

Specifying the three sides also specifies the angles. Only one such triangle can be made.

Answer:

it is only possible to make one triangle

Step-by-step explanation:

Answer:

The answer is 7

Answer:

A

Step-by-step explanation:

Answer:

900 students

Step-by-step explanation:

3/5 of 12,000 = 7,200 who drink coffee

1/8 x 7,200 = 900 who drink coffee with cream

Answer:

yyyuu,gsfehwgegrbarhqhyekejtwhhtthtanafgegrajtsjttjrhrhrjarhahrhehrhrrnrjehehehehthsqrsjsyksthggejejsgrh,,kerhatstnwtkekehaahwjjyykjm.hteerylektkh#h#h#jrj

Answer:

5L

Step-by-step explanation:

[tex]\frac{5000mL}{1}*\frac{1L}{1000mL} = 5L[/tex]

Answer:

5L

Step-by-step explanation:

If you are trying to find out how many liters there are in 5000 milliliters then it is 5

A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.

A partir del enunciado se construye un sistema geométrico formado por el triángulo obtusángulo. Con base en la información disponible, se determina las longitudes faltantes del triángulo:

[tex]\frac{20\,m}{\sin 2^{\circ}} = \frac{r_{1}}{\sin 128^{\circ}} = \frac{r_{2}}{\sin 50^{\circ}}[/tex]     (1)

Los lados faltantes son r₁ ≈ 451.589 m and r₂ ≈ 439 m. Finalmente, la altitud del avión se obtiene mediante la siguiente relación trigonométrica:

h = r₁ · sin 40°     (2)

h = (451.589 m) · sin 40°

h ≈ 290.276 m

A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.

Para aprender más sobre relaciones trigonométricas: https://brainly.com/question/22962732

#SPJ1

Answer:

4/3

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex] { \frac{2}{3} }^{2} = \frac{4}{9} [/tex]

have a nice day

Answer:

The third angle would be 83 degrees.

Step-by-step explanation:

Seeing that every triangle's angles will always add up to 180 degrees, we would do the following:

180-90=90

90-7=83 degrees.

Answer:

Circle 1: 37.68 ft

Circle 2: 28.26 cm

Substitute u = t ³/2592 and du = t ²/864 dt. Then

[tex]P(T)=1-\displaystyle\int_0^T f(t)\,\mathrm dt=1-\displaystyle864\left(1.1574\times10^{-3}\right)\int_0^{\frac{T^3}{2592}}e^{-u}\,\mathrm du[/tex]

The probability that a 12 hour surgery is successful is P (12), so letting T = 12 gives

[tex]P(12)\approx1-\displaystyle\int_0^{\frac23}e^{-u}\,\mathrm du\approx e^{-\frac23} \approx \boxed{0.5134}[/tex]

Answer:

Hi! The answer is [tex]1/3[/tex] of a wall.

Step-by-step explanation:

[tex]1 - 2/3[/tex]

[tex]= 1/3[/tex]

☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆☆*: .｡.｡.:*☆☆.*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka