A bag of marbles contains three blue, one black, and four
yellow marbles. If two marbles are chosen at random
without replacement, what is the probability that both
marbles will be yellow?

Answer:

8/3

Step-by-step explanation:

i put equations as this:

x+40 = y

where x is galllons of pure mixture and y is the gallons of the new mixture

the other equation i id was:

x+0.2(40) = 0.25y

x+8 = 0.25y

y = 4x+32

solve using substitution

(x+40) = 4x+32

x = 4x-8

-3x = -8

x = 8/3

Answer:

(x+4)^2  -25

Step-by-step explanation:

x²+8x-9 in the form  (x+k)² +h.

We need to complete the square.

x^2 +8x   -9

Take the coefficient of x.

8

Divide by 2.

8/2 =4

Square it.

4^2 = 16

Add this then subtract i.

x^2 +8x+16    -16   -9

The x^2 +8x+16 becomes  (x+4) ^2  and we can simplify the remaining terms.

(x+4)^2  -25

Answer:

42.95x + 21.95y

Step-by-step explanation:

The following set of real numbers  R = { (x,y) : (2,3), (4,4), (6,5), (8,6)...} is linear.

A set is a collection of well defined objects.

According the given set we have R = { (x,y) : (2,3), (4,4), (6,5), (8,6)...}

The set is of real numbers and it is linear.We can define this linear relationship by for every 2 point right shift or run in x axis results in 1 point up shift in y axis or rise.

We know linear equation is of form y = mx + b. Where m is the slope and b is the y intercept.

Slope(m) = rise/run or (y₂ - y₁)/(x₂ - x₁).

lets take two pair of co-ordinates from he given set.

(x₁,y₁) = (2,3) and (y₁,y₂) = (4,4).

Slope (m) = (4 - 2)/(4 -3)

           m = 2.

Now the equation can be written as

y = 2x + b to find the y intercept we will put the values of x and y from any of the co-ordinate.

(x,y) = (2,3)

∴ y = mx + b

3 = 2(2) + b

b = -1.

∴ y = 2x - 1.

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Answer: A

Step-by-step explanation:

Answer: A.

Step-by-step explanation:

A composition of reflections over two parallel lines is equivalent to a translation.

Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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Answer:

$15.6

Step-by-step explanation:

Based on the given information, it is $15.6. However, it never specified how many hours she works a day and how many days of the week she works, so we must assume it is just 624/40.

Answer:

minimum amount Tamara needs to earn per hour = 15.6.

Step-by-step explanation:

40 × x = 624

x = 624/40 = 156/10 = $15.6 per hour.

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.

Given:

The given statements are,

"If you are wearing a helmet, you are riding a bike."

"If you are not riding a bike, you are not wearing a helmet."

Required:

To identify the kind of statements.

Explanation:

We have the given statement:

"If you are wearing a helmet, you are riding a bike."

Here, p : you are wearing a helmet

q : you are riding a bike

Thus, taking negation of both the parts of the statement as follows:

If not q, then not p.

Hence, the statement formed is,

"If you are not riding a bike, you are not wearing a helmet."

This is the contrapositive statement.

Final Answer:

Given statements are an example of contrapositive.

The sinusoidal function have the following features:

Amplitude: 1

Period: 2π

Frequency: ω = 2π / 2π = 1

Herein we find an example of a sinusoidal function, whose definition is shown below:

f(x) = A · sin (2π · x / T + Φ) + x'

Where:

The frequency (ω) is equal to the following formula:

ω = 2π / T

If we know that the sinusoidal function f(x) = sin (x + π / 2) - 2, then the amplitude, the period and the frequency, that is, the features of the sinusoidal function, are, respectively:

Amplitude: 1

Period: 2π

Frequency: ω = 2π / 2π = 1

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Answer:

20

Step-by-step explanation:

5 and 4 have no common factors until they are multiplied by each other. So if you were to convert your existing measurements, you would do the following.

(3/4) x (5/5)

(2/5) x (4/4)

Giving you 15/20 and 8/20

The following information regarding a dependent variable (Y) and an independent variable (X) is provided in the following blanks in the image below.

A dependent variable is the variable that changes as a result of the independent variable manipulation. It's the outcome you're interested in measuring, and it “depends” on your independent variable. In statistics, dependent variables are also called: Response variables (they respond to a change in another variable) a) least square estimate of the Y intercept  =2 b)least squares estimate of the slope is =1 c)coefficient of determination is  1-SSE/SST =0.625 d)coefficient of correlation is =(0.625)1/2 =0.7906 e) MSE =SSE/(n-2) =6/(5-2) =2

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Answer:

I think its 6

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Hey there! If you have any questions feel free to leave them in the comments below

3 ÷ \(\frac{1}{2}\) = 6

You should flip the reciprocal and then multiply it by 3. 3 * 2 would = 6.

~I hope I helped you :)~

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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Answer:

135cm^3

Step-by-step explanation:

Answer:

F(4)=5

Step-by-step explanation:

F(x)=x+1

F(4) means that x is 4

F(4)=4+1 = 5

F(4)=5

The correct option is option C i.e., associative property of addition.

A mathematical expression is given which is 16 + 7 + 9 = 7 + 9 + 16.

We have to find out which property is used in the above expression.

What is the associative property of addition ?

The associative property of addition states that sum of three or more numbers remains same regardless of the way in which they are grouped.

As per the question ;

The mathematical expression given is ;

16 + 7 + 9 = 7 + 9 + 16

Simplifying both sides , we get ;

32 = 32

Here ;

Sum of three or more numbers is same regardless of the way in which we have arranged them.

So , property used is associative property of addition.

Thus , the correct option is option C i.e., associative property of addition.

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Given the figure of a number line

a) We will find the value of KN+IK

As shown in the figure:

So, the answer will be KN+IK = 0

b) )What is the coordinate of midpoint GO

As shown:

The midpoint =

So, the answer will be the midpoint will be k = 0

Answer:

Example: π (Pi) is a famous irrational number.

We cannot write down a simple fraction that equals Pi.

Step-by-step explanation: true

Answer:

160°

Step-by-step explanation:

Quadrilateral's angles add up to 360 degrees.

So:

x = fourth angle measure (unknown currently)

50° + 72° + 78° + x = 360°

200° + x = 360°

x = 160°

The number of Jim's model car is 48

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

Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6

This means that

Jim : Terrence = 8 : 6

Also from the question, we have

Terrence owns 36 models cars

This means that

Terrence = 36

Substitute the known values in the above equation, so, we have the following representation

Jim : 36 = 8 : 6

Multiply by 6

Jim : 36 = 48 : 36

So, we have

Jim = 48

Hence, the number of car is 48

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The equation for tree 1 and tree 2 would be

Then they would be both

Answer:

m= -4.5

Step-by-step explanation:

Let's solve your equation step-by-step.

6m−3=5−(m+39.5)

Step 1: Simplify both sides of the equation.

6m−3=5−(m+39.5)

6m−3=5+−1(m+39.5)(Distribute the Negative Sign)

6m−3=5+−1m+(−1)(39.5)

6m−3=5+−m+−39.5

6m+−3=5+−m+−39.5

6m−3=(−m)+(5+−39.5)(Combine Like Terms)

6m−3=−m+−34.5

6m−3=−m−34.5

Step 2: Add m to both sides.

6m−3+m=−m−34.5+m

7m−3=−34.5

Step 3: Add 3 to both sides.

7m−3+3=−34.5+3

7m=−31.5

Step 4: Divide both sides by 7.

7m

7

=

−31.5

7

m=−4.5

Step-by-step explanation:

6m-m=5-3+39.5

5m=-37.5

m=7.5

Answer:

i think it is b

Step-by-step explanation:

The range for m is [3, ∞)

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

m(x)= √(x- 3) + 1

For x= 0

m(0) = √(-3) + 1

m(0) = √3i + 1

So, m ≠ 0, 1, 2 because it leads to imaginary value.

Thus, m ≥ 3

i.e., m=4

m(3)= √3-3 + 1= 1

and, m(4)= √(4- 3)+ 1 = 2

Hence, the range for m is [3, ∞)

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The difference between 9493 take away 2324 is equal to = 7169.

The difference between 9493 take away 2324

Difference in math is the result of one of the important mathematical operations, which is obtained by subtracting two numbers. It tells us by how much a number differs from the other. The aim of finding the difference in math is to tell how many numbers lie between the two given numbers.

Set difference is a generalization of the idea of the complement of a set and as such is sometimes called the relative complement of T with respect to S. The symmetric difference between two sets S and T is the union of S – T and T – S.

Based on the conditions, formulate :

Let us assume,

The difference between value = x

We can write,

x = 9493 -  2324

Calculate the sum or difference,

x = 7169.

Therefore,

The difference between 9493 take away 2324 is equal to = 7169.

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Equivalent Equations:

We have equation A:

3 (x+2) = 18

And equation B:

x + 2 = 6

Dividing both sides of equation A by 3:

x+2 = 18/3 = 6

x + 2 = 6

We have obtained equation B from A by dividing both sides by 3.

Answer: C

Since both equations can be obtained by multiplying or dividing the other equation by a non-zero constant, if follows the equations are equivalent

(A) Yes

a) The confidence level of 99% means that we are 99% sure that the interval contains the true population proportion.

b) The 99% confidence interval for the population proportion is given as follows: (0.3145, 0.4055). It means that we are 99% sure that the true population proportion is between 0.3145 and 0.4055.

c) The 95% confidence interval would be narrower, as it would have a lower critical value, thus the margin of error would also be lower.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(\pi = 0.36, n = 739\)

The lower bound of the interval is given as follows:

0.36 - 2.575 x sqrt(0.36 x 0.64/739) = 0.3145.

The upper bound of the interval is given as follows:

0.36 + 2.575 x sqrt(0.36 x 0.64/739) = 0.4055.

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Answer:

6610

Step-by-step explanation:

We have tan(X) = opposite/ adjacent

tan(QBP) = PQ/BQ

tan(35) = PQ/BQ    ---eq(1)

tan(QAP) = PQ/AQ

tan(20) = \(\frac{PQ}{AB +BQ}\)

\(=\frac{1}{\frac{AB+BQ}{PQ} } \\\\=\frac{1}{\frac{AB}{PQ} +\frac{BQ}{PQ} } \\\\= \frac{1}{\frac{230}{PQ} + tan(35)} \;\;\;(from\;eq(1))\\\\= \frac{1}{\frac{230 + PQ tan(35)}{PQ} } \\\\= \frac{PQ}{230+PQ tan(35)}\)

230*tan(20) + PQ*tan(20)*tan(35) = PQ

⇒ 230 tan(20) = PQ - PQ*tan(20)*tan(35)

⇒ 230 tan(20) = PQ[1 - tan(20)*tan(35)]

\(PQ = \frac{230 tan(20)}{1 - tan(20)tan(35)}\)

\(= \frac{230*0.36}{1 - 0.36*0.7}\\\\= \frac{82.8}{1-0.25} \\\\=\frac{82.8}{0.75} \\\\= 110.4\)

PQ = 110.4

≈110

Height above sea level = 6500 + PQ

6500 + 110

= 6610