Tristan has 3 bottles of water and 4 bottles of juice in his ice chest. What is the probability that he will reach into the chest and pull out two bottles of juice in a row if he does not replace the first one?All answers should be given as a fraction in simplest form!
Any help would be appreciated, Thanks!!!

Answer:

El volumen del prisma triangular es 110 centímetros cúbicos.

Step-by-step explanation:

El volumen del prisma ([tex]V[/tex]), en centímetros cúbicos, es igual al producto del área superficial del triángulo ([tex]A[/tex]), en centímetros cuadrados, y la profundidad del prisma ([tex]z[/tex]), en centímetros:

[tex]V = A\cdot z[/tex]

[tex]V = \frac{1}{2}\cdot b\cdot h\cdot z[/tex] (1)

Donde:

[tex]b[/tex] - Base del triángulo, en centímetros.

[tex]h[/tex] - Altura del triángulo, en centímetros.

Si sabemos que [tex]b = 4\,cm[/tex], [tex]h = 5.5\,cm[/tex] y [tex]z = 10\,cm[/tex], entonces el volumen del prisma triangular es:

[tex]V = \frac{1}{2}\cdot (4\,cm)\cdot (5.5\,cm)\cdot (10\,cm)[/tex]

[tex]V = 110\,cm^{3}[/tex]

El volumen del prisma triangular es 110 centímetros cúbicos.

The solutions of the nonlinear system of equations are the points (x₁, y₁) = (- 2, 10) and (x₂, y₂) = (3, 5).

We find in this place a non-linear system formed by a quadratic equation and a linear equation, which can be solved by algebra properties. The complete procedure is shown below:

y = 2 · x² - 3 · x - 4     (1)

y + x = 8                     (2)

By (2) in (1):

2 · x² - 3 · x - 4 + x = 8

2 · x² - 2 · x - 12 = 0

2 · (x² - x - 6) = 0

2 · (x - 3) · (x + 2) = 0

x = 3 ∨ x = - 2

y = 8 - 3 ∨ y = 8 - (- 2)

y = 5 ∨ y = 10

The solutions of the nonlinear system of equations are the points (x₁, y₁) = (- 2, 10) and (x₂, y₂) = (3, 5).

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Answer:

a) 12/52 = 3/14

b) 26/52 = 1/2

c) 4/52 = 1/13

d) 13/52 = 1/4

e) 8/52 = 2/13

Step-by-step explanation:

a) there are 12 face cards and 52 in the deck

b) half the cards are red, the other half black

c) one queen in each of four suits

d) the deck is broken up into 4 equal suits (hearts, diamonds, spades, clubs) so there are 13 of each.

e) like the answer in part C, there is one of each card in each of the four suits. that gives us four aces and four tens.

Answer:

$120.29

Step-by-step explanation:

first you add the normal prices of what sally bought, then add 6.5% of the price she paid.

22.5(2) + 55 + 12.95 = 112.95

6.5          x

-----  =    -----

100     112.95

6.5(112.95)  = 100x

734.175/100 = 100x/100

7.35 ≅ x

112.95 + 7.35 = 120.30

I think that's it! Let me know if it is! If so, please maybe consider giving me Brainliest! It would really help me out!

Answer:

C.)  3.6 + (6 - 4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Standard equation of an ellipse,

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

(h, k) is the center of the ellipse

Value of a = Distance of the center from the vertex

b = Distance of the center from the covertex

From the picture attached,

a = Distance of the center (h, k) from the vertex (2, -2) = 3 units

b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit

Center of the ellipse (h, k) = (-1, -2)

Answer:

♿⚠️⛔☢☣⬆️↗️➡️↘️⬇️↙️⤵️⤴️↪↩↔️↕️↖️⬅️

Answer:

B

Step-by-step explanation:

To evaluate g(7) substitute x = 7 into g(x) , that is

g(7) = [tex]\frac{7}{8}[/tex] × 7 - [tex]\frac{1}{2}[/tex]

      = [tex]\frac{49}{8}[/tex] - [tex]\frac{4}{8}[/tex]

      = [tex]\frac{45}{8}[/tex] → B

Answer:

1. make both equal, so...

-14/24 + 9/24

=-5/24

Step-by-step explanation:

Answer:

470

Step-by-step explanation:

there are several surface areas.

1. the 4 side walls of the big block = 4*12*7 = 336

2. top and bottom of the big block = 2* 7*7 = 98

3. subtract the small rectangular area from the top area covered by the small block = 2*7 = 14

4. the 3 (visible) side walls of the small block on top =

3* 2*7 = 42

5. the small top and bottom areas of the small block =

2* 2*2 = 8

so, 1.+2.-3.+4.+5. = 470

Answer:

Extrapolation

Step-by-step explanation:

Given

[tex]x \to[/tex] Explanatory variable

[tex]y \to[/tex] Response variable

Required

Predicting y outside range of x is called

This is referred to as extrapolation.

Take for instance, the range of x is: 1 - 9

You have extrapolated when, 10 is assumed to be the value of x and this value is entered in an equation to predict y.

Answer:

the period is the to top points of the highest points on top of the crests

The period of function is,

P = 5

Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.

Here, Graph of function is shown.

Hence, The period of function is,

P = 10/2

P = 5

Because there is two wave are shown.

Therefore, The period of function is,

P = 5

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Answer:

I

Step-by-step explanation:

We have to added up the like therms

like therms are therms with the same literal parts

3a - 7a = -4a

6b-3b= 3b

-4a + 3b+ 9c

Answer:

6c = b

Step-by-step explanation:

6 cups of flour for each batch of bread, so 6c;

b is the batch of bread.

So basically,

6c = b

Answer:

A)

Step-by-step explanation:

it is clearly reduced so you can eliminate the middle two options as answers;

reduction is always going to be a value less than 1 because a value greater than 1 would not be a reduction

Step-by-step explanation:

1. 3.6 x 10^-1

2. 3.1 x 10^6

3. 5.3 x 10^-6

4. 4.2 x 10^-1

Answer:

#5 - C

#7 - A

Step-by-step explanation:

If two items are similar, it means that the angles and figure itself have not changed, just the size. The two objects are prototional to each other.

In order to find the length of one side, we have to find what the size difference is, if that makes sense. We have to figure out the number that the smaller size is multiplied by in order to get the bigger number (or the other way around).

#5:

Side LK and side DE are preportional. We can divide 35 by 10 to figure out the proportion size. 35/10=3.5. Then we can take that and use it to find the other side. MK and FD are proportional. We can now take 22 and multiply it by 3.5 to get the new side length. 22x3.5=77

#7:

Same thing. 12/8=1.5, which is the proportional size change. We can now take the already exisiting number and multiply it. 5x1.5=7.5

Answer:

False. It's 3 times.

Step-by-step explanation:

Answer:

1) 20/45= 4/9=4:9

2) 3:8:5

3) 10:7

Answer:

6.71

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

6^2+3^2=c^2

36+9=c^2

45=c^2

6.71=c

Answer:

A=lw+l(w

2)2+h2+w(l

2)2+h2Step-by-step explanation:

Answer:

40

Step-by-step explanation:

well I need the 3rd number but right now the answer is 40

Could you please express this question better, I don't seem to understand the objective.

Answer:

G

Step-by-step explanation:

In math whenever you have the word "of" it means multiply, so 66% of the total number of people who took the survey( which is 165) is 66/100 multiplied by 165.

[tex]\frac{66}{100} *165= 108.9[/tex] which rounds up to 109

Answer:

17.99

Step-by-step explanation:

Trig Ratios:

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Tangent

We can use trig ratio sine as we are given an angle ( 40° )and the hypotenuse (28) and we need to find its opposite side (w)

Recall that sin = opposite over hypotenuse

That being said we want to create an equation to solve for w

[tex]sin(40)=\frac{w}{28}[/tex]

Now we solve for w

Step 1 multiply each side by 28

[tex]\frac{w}{28} *28=w\\sin(40)*28=28sin(20) = 17.99[/tex]

we're left with w = 17.99

Answer:

a, c, & d

Step-by-step explanation:

-6,1 , 0,5 , 1,7 hope this help

Step-by-step explanation:

You need to times it, so 150 x 30, and then whatever it is, thata the answer

Answer:

So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.

Answer:

The Prime Factorization is:

2 x 2 x 3 x 5

In Exponential Form:

2^2 x 3^1 x 5^1