A bag contain 5 red marbles, 4 blue marbles and 6 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be red?

Answer:

y = 3

Step-by-step explanation:

First, simplify the equation. Combine like terms. Like terms are terms that have the same amount of the same variables.

\(-10 + 2y + 6y = y + 11\\-10 + (2y + 6y) = y + 11\\-10 + 8y = y + 11\)

Next, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 1y and add 10 to both sides of the equation:

\(8y - 10 = y + 11\\8y (-y) - 10 (+10) = y (-y) + 11 (+10)\\8y - y = 11 + 10\\7y = 21\)

Next, divide 7 from both sides of the equation:

\(7y = 21\\\frac{7y}{7} = \frac{21}{7} \\y = \frac{21}{7}\\ y = 3\)

y = 3 is your answer.

~

Learn more about solving for equations, here:

https://brainly.com/question/8743486

Answer:

185-65÷2=120 that the answer

Answer:

55 miles

Step-by-step explanation:

d= 185 - 2*65

d=185 - 130

d= 55 miles

Answer:

11

Step-by-step explanation:

yeah-ya............ right?

Check the picture below.

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

Read more about functions at

brainly.com/question/2456547

#SPJ1

Answer:

D. y=4x-1

Step-by-step explanation:

y=mx+b (This is the slope intercept formula) The M(X) represents the slope and the B represents the y intercept.

y=4x-1

Answer:

d. y = 4x -1

Step-by-step explanation:

y = mx + b

  m= 4

  b= -1

y = (4)x + (-1)

y = 4x - 1

can i get brainliest please?

Answer:

30 cups of flour

Step-by-step explanation:

For every 12 cookies you need 4 cups of flour, which represents 1 batch of cookies. You want to figure out how many batches there are in 90 cookies. To do this you divide the total amount of cookies by the number of cookies in a batch.

90 cookies total/12 cookies/batch = 7.5 batches of cookies.

For each batch you need 4 cups of flour so you multiple the number of batches by the number of cups of flour.

7.5 batchs * 4 cups/batch = 30 cups of flour

so you need 30 cups of flour to make 90 cookies

Answer:

3

Step-by-step explanation:

Answer:

$25500

Step-by-step explanation:

tv =30000

15% discount= 30000×15÷100

= 4500

selling price = 30000-4500

=25500

triangle UTV similar with triangle YZX

Step-by-step explanation:

that mean UT/YZ = TV/ZX = UV/YX is the answer

Answer:

Step-by-step explanation:

5 is a factor of 15 and 35

15:35 = 3:7

240 because i am smart and also nice pencil

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

assume base 10

-logy = x

\( \frac{1}{ log(y) } = x\)

log base x y = 5 turns into the format x^ 5 = y

implement that to get c

Answer:

6x+3

Step-by-step explanation:

If you're just combining like terms this is the correct answer

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

MARK AS BRAINLIEST!!!

The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

For more such information on: boolean expression

https://brainly.com/question/30887895

#SPJ8

The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

Answer:

E

Step-by-step explanation:

The formula used for this question is

ratio * 100 = %

% = 0.75 * 100

% = 75%

Answer:

4 cups

Step-by-step explanation:

cuz densityffffgghhhhhhhhggklkgd

Answer:

10 1/2

Step-by-step explanation:

4 1/2 ===1 times the recipe

we want 2 1/3

so we will need to find the mixed number of the fractions

4*2=8+1= 9--------9/2

2*3=6+1=7---------7/3

9/2*7/3==

9/2*7/3=63/6

6 goes into 63, 10 times leaving 3.

10 3/6-----------> 10 1/2

Answer:

It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10

Step-by-step explanation:

In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.

• Take the products of both functions.

f(x)g(x) = 3x²+5 • x-2

• Next, expand the functions. We expand by combining like terms.

= 3x^3 - 6x^2 + 5x - 10

Since the function cannot be simplified further, this leads to option B being our answer.

Hope this helps!

The real-life problem will be:- The total number of chocolates is 24 and there are 3 boxes what will be the number of chocolates filled in each box. The number of chocolates in each box will be 8.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression is:-

\(24\times \dfrac{1}{3}\) = 8

The real-life problem will be given the as:-The total number of chocolates is 24 and there are 3 boxes what will be the number of chocolates filled in each box. The number of chocolates in each box will be 8.

Hence the number of chocolates in each box will be 8.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ1

Answer:

Its -i on edge

Step-by-step explanation:

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

\(x^2 + 1^2 = y^2\)

Differentiate w.r.t time (t)

\(2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}\)

\(2x\frac{dx}{dt} = 2y\frac{dy}{dt}\)

Divide both sides by 2

\(x\frac{dx}{dt} = y\frac{dy}{dt}\)

From the question, we have that the plan travels are 510mi/h.

This implies that:

\(\frac{dx}{dt} = 510mi/h\)

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

\(y = 2mi\)

Apply Pythagoras theorem

\(x^2 + 1^2 = y^2\)

\(x^2 + 1^2 = 2^2\)

\(x^2 + 1 = 4\)

\(x^2 = 4-1\)

\(x^2 = 3\)

\(x = \sqrt 3\)

So, the expression becomes:

\(x\frac{dx}{dt} = y\frac{dy}{dt}\)

\(\sqrt 3 * 510 = 2* \frac{dy}{dt}\)

\(\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}\)

\(\sqrt 3 * 255 = \frac{dy}{dt}\)

\(\frac{dy}{dt} = 255\sqrt 3\)

\(\frac{dy}{dt} = 255 * 1.7321\)

\(\frac{dy}{dt} = 441.655\)

\(\frac{dy}{dt} = 442\)

Hence, the distance is 442 miles

The square root of 4 is 2. Since 3 is less than 4, the square root of 3 would be just under 2.

The first graph would be correct.

Answer:

1 minute has 60 seconds

therefore 8 minutes will have 60 × 8 seconds = 480 seconds

480 + 12 = 492

hence 8 minutes 12 seconds will have 492 seconds

Answer: 492 seconds

Step-by-step explanation:

1min = 60sec

therefore, 8min 12sec = [8 x 60] + 12

= 480 + 12

= 492 sec

Hope it helped u,

pls mark as the brainliest        - Ayaan707 for help :) -

^_^

Answer:

24

Step-by-step explanation:

13+11=24

Answer:

5/6−1/9=13/18

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(5/6×3/3)−(1/9×2/2)=?

Complete the multiplication and the equation becomes

15/18−2/18=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

15−2/18=13/18

This fraction cannot be reduced.

Therefore:

5/6−1/9=13/18

According to the direct variation, the direct variation equation is y=kx.

In the given question we have to write the direct variation equation.

As we know that, direct variation is a relationship between two variable that changes according to each other.When one of the variables is a constant multiple of the other, there is a link between the two variable.

Direct variation is the change in one variable as a result of the change in another. This implies that if one number rises or falls, the other should rise or fall proportionally as well.

So, the direct variation equation is y=kx.

To learn more about direct variation link is here

brainly.com/question/13977805

#SPJ4

Answer: it costs $4.15 for a pizza with 1 topping. Is that what you meant?

Step-by-step explanation:

Answer:

1.) 0.54 ; 0.46

2.) 0.50 ; 0.40 ; 0.05 ; 0.85 ; 0.15

Step-by-step explanation:

A = feel guilty about wasting food ; P(A) = 0.39

B = feel guilty leaving lights on ; P(B) = 0.27

Probability of feeling guilty for doing both = 0.12

P(AnB) = 0.12

1a.) What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

P(AuB) = P(A) + P(B) - P(AnB)

= 0.39 + 0.27 - 0.12

= 0.54

1b.) What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

P(AuB)' = 1 - P(AuB)

P(AuB)' = 1 - 0.54

P(AuB)' = 0.46

2.)

n(ACC) = 10

n(SEC) = 8

n(total) = 20

n(ACC n SEC) = 1

a. What is the probability the ACC will have a team in the championship game (to 2 decimals)?

n(ACC) / n(Total) = 10 /20 = 0.50

b. What is the probability the SEC will have a team in the championship game (to 2 decimals)?

n(SEC) / n(Total) = 8/20 = 0.40

c. What is the probability the ACC and SEC will both have teams in the championship game (to 2 decimals)?

1 /20 = 0.05

d.)

P(AuB) = P(A) + P(B) - P(AnB)

= 0.50 + 0.40 - 0.05

= 0.85

e.)

P(AuB)' = 1 - P(AuB)

P(AuB)' = 1 - 0.85

= 0.15