5 Find each probability if you pick two marbles without replacing the first (G = green; R = red; Y = yellow).
T. P(red, then green) F. Plyellow, then not yellow)
G G G G
E. P(red, then yellow) R. P(green, then not green)
M. P(green, then green) W. P(not red, then not red)
R R Y Y
Y

Answer:

I belive it would be 2:6:3

Step-by-step explanation:

I think this is right

Answer:

4:6:3

Step-by-step explanation:

If 2 red = 3 blue & 2 blue = 1 green,

4 red, 6 blue, 3 green

Answer:

4

Step-by-step explanation:

-2/5 x* 5y * -2x

Multiply the coefficients

-2/5 * 5*-2

-2*-2 *1/5*5

4

Answer:

No, it is not a function because if you drew any vertical line it would intersect the points (lines) more than once. Basically, the points plotted intersect themselves if you connect all of them on a graph

Step-by-step explanation:

To show your work and understand it more type in Desmos graphing calculator on Google and type in the points and they will then appear on the graph. Hope this helps

Answer:

X=-9

Step-by-step explanation:

3x=1+y is the ans submit it

Answer:

4/7

Step-by-step explanation:

you go to the right 4 times then up 7

Answer:

Option C (Negative)

Step-by-step explanation:

A line with a negative slope goes downward from the left side of the graph to the right side.

A positive line would be the opposite; the line goes upward form left to right.

A horizontal line has zero slope. A vertical line has undefined slope.

The given line has the line going downward.

Option C should be the correct answer.

Hope this helps.

Answer:

C. Negative

Step-by-step explanation:

the line moves from left to right(it's going down) meaning it has a negative slope.

I hope this helps! :)

The length of the base is approximately 8.72 cm and the height is approximately 21.16 cm.

Let's use the formula for the area of a triangle, which is:

A = (1/2) * b * h

where A is the area, b is the length of the base, and h is the height.

We know that the area is 80cm^2, so we can write:

80 = (1/2) * b * h

We also know that the height is 4cm less than three times the base length. So we can write:

h = 3b - 4

Now we can substitute this expression for h into the area formula:

80 = (1/2) * b * (3b - 4)

Simplifying this equation, we get:

160 = b * (3b - 4)

Expanding the brackets on the right-hand side, we get:

160 = 3b^2 - 4b

Rearranging this equation, we get:

3b^2 - 4b - 160 = 0

This is a quadratic equation that we can solve using the quadratic formula:

b = (-(-4) ± sqrt((-4)^2 - 4 * 3 * (-160))) / (2 * 3)

Simplifying this expression, we get:

b = (4 ± sqrt(256 + 1920)) / 6

b = (4 ± sqrt(2176)) / 6

b ≈ 8.72 or b ≈ -2.06

Since the length of the base cannot be negative, we can discard the negative solution and conclude that the base has a length of approximately 8.72 cm.

To find the height, we can substitute this value of b into the equation we derived for h:

h = 3b - 4

h = 3(8.72) - 4

h ≈ 21.16

Therefore, the length of the base is approximately 8.72 cm and the height is approximately 21.16 cm.

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By identifying the maximum value (75) and the minimum value (59) in the data set, we can determine the range, which is 16 inches .

The range of a data set measures the spread or variability of the data. It is calculated by subtracting the minimum value from the maximum value. In this case, the minimum value is 59 (the shortest height) and the maximum value is 75 (the tallest height) in the given data set.

Range = Maximum value - Minimum value

Substituting the values, we have:

Range = 75 - 59 = 16

Therefore, the range of the given data set is 16. This means that the heights of the students in the high school class range from a minimum of 59 inches to a maximum of 75 inches, with a difference of 16 inches between them.

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Answer:

y = -3/4x + 4 or 3x + 4y = 16

Step-by-step explanation:

Step 1

Find the slope of the given line

we have

3x + 4y = 15

Isolate the variable y

Subtract 3x from both sides

3x + 4y -3x = 15-3x

Divide by 4 both sides

y = -3/4x + 15/4

the slope of the given line is

m = -3/4

Step 2

Find the equation of the line that passes through  the point  and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

y - y₁ = m(x-x₁)

we have

m= -3/4

(x1,y1) = (8,-2)

substitute in the equation

y + 2= -3/4(x-8)

y = -3/4x + 6 - 2

y = -3/4x + 4 or 3x + 4y = 16

therefore

the answer is

y = -3/4x + 4

or

3x + 4y = 16

Step-by-step explanation:

Hey, there!!

Let's simply work with it,

The given coordinates are, P(-2,3) and Q(5,4).

Now, finding the P' and Q'.

Reflection on x- axis .

P(x,y)---------> P' (x,-y)

P (-2,3)----------> P'(-2,-3)

Now, let's find Q'

Reflection on y-axis.

Q(x,y)----------> Q'(-x,y)

Q(5,4)---------> Q'(-5,4)

Now, The points are P'(-2,-3) and Q'(-5,4)

By distance formulae,

\(P'Q' = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } \)

Putting their values,

\(P'Q' = \sqrt{( { - 5 + 2)}^{2}( {4 + 3)}^{2} } \)

\(P'Q' = \sqrt{( { - 3)}^{2} + ( {7)}^{2} } \)

Simplifying them we get,

\(pq = \sqrt{58} \)

Therefore, the distance between P'and Q' is root under 58 units.

Hope it helps...

The relationship the ratios of sin x° and cos y° share is The ratios are both identical (five thirteenths and five thirteenths). Option B

Trigonometric Identities are defined as the qualities involving trigonometry functions and also holds true for all the values of the variables given in the equation.

The different types of trigonometric identities are given as;

From the information given, we have that

sin = opposite/hypotenuse

cos = adjacent/hypotenuse

But;

Hypotenuse= 13

Opposite = 5

Adjacent = 12

Substitute the value

sin x = 5/13

cos y = 5/13

Hence, the values are identical

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Answer:

B!

Step-by-step explanation:

took the testt

The point-slope form of the line is y - (3/4) = 5(x - (3/4)).

The point-slope form of a line is written as y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. To find the point-slope form of a line that has a slope of 5 and passes through the point (3/4, 3/4), we can plug in the values for the slope and the point into the point-slope formula. This gives us y - (3/4) = 5(x - (3/4)). This is the point-slope form of the line.

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The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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The solution on solving the quadratic equation \(x^2 + 5x = \frac{-25}{4}\) is \(x = \frac{-5}{2}\).

To solve the equation \(x^2 + 5x = \frac{-25}{4}\), we can start by rearranging it into the standard quadratic form:

\(x^2 + 5x + \frac{25}{4} = 0\\\)

To solve this quadratic equation, we can use the quadratic formula:

\(x =\frac{ (-b \pm \sqrt{(b^2 - 4ac))}}{2a}\)

For our equation, the coefficients are:

a = 1

b = 5

c = 25/4

Substituting these values into the quadratic formula, we get:

\(x =\frac{ (-(5) \pm \sqrt{((5)^2 - 4(1)(25/4)))} }{2}\)

Simplifying further:

\(x =\frac{ (-5 \pm \sqrt{(25 - 25))}}{2}\)

Since the discriminant \((b^2 - 4ac)\) is zero, the equation has one real root.

\(x = (-5 \pm \sqrt 0) / 2\)

Simplifying again yields:

\(x = \frac{-5}{2}\)

Therefore, the solution to the equation \(x^2 + 5x = \frac{-25}{4}\) is \(x = \frac{-5}{2}\).

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Answer:

11+x because the equation is reversabel.

Step-by-step explanation:

Answer:

The answer is 7

Step-by-step explanation:

Answer:

11/2

Step-by-step explanation:

if you multiply 3

2 _X2 youget 11/2

4

Answer:

No.

Step-by-step explanation:

313756 is not divisible by 9 .

Easy way to find it out. - 313756

3+1+3+7+5+6 = 25

25 is not divisible by 3...so , it is not divisible by 9 too

Hope it helps you

Answer:

13 1/6 years old

Step-by-step explanation:

10 9/12 + 2 5/12 = 12 14/12 simplifies to 13 2/12 or 13 1/6

In most countries, including the United States, income tax is a tax imposed on an individual's income by the government. The amount of income tax paid typically depends on the amount of income earned and any deductions or credits that apply to the individual's tax situation.

A typical pay stub includes information such as the employee's gross pay (the amount earned before any deductions), the net pay (the amount received after deductions), and various taxes and deductions taken out of the employee's pay, such as federal income tax, state income tax, Social Security tax, and Medicare tax.

To complete the missing pieces on a pay stub, you will need to know the employee's gross pay and any deductions that apply to their tax situation. The amount of income tax withheld from an employee's pay depends on several factors, including their tax bracket, filing status, and any exemptions or deductions they are eligible for.

It's important to note that tax laws and regulations vary by country and even by state or province within a country, so the specific rules and calculations for income tax can differ depending on your location.

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3. Each of the following pay stubs represents two different employees. Use your understanding of income tax to complete the missing pieces.

LILY'S PAY STUB

GROSS INCOME

$865.00

FEDERAL TAXES

$110.32

=

MEDICARE (6%)

FEDERAL TAXES

$80.32

MEDICARE (6%)

SOCIAL SECURITY (1%)

SOCIAL SECURITY (1%)

$6.65

NET INCOME

MARK'S PAY STUB

GROSS INCOME

NET INCOME

Answer:

Step-by-step explanation:

sin(Z) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

         = \(\frac{YZ}{XZ}\)

         = \(\frac{9}{15}\)

         = \(\frac{3}{5}\)

cos(Z) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

          = \(\frac{XY}{XZ}\)

          = \(\frac{12}{15}\)

          = \(\frac{4}{5}\)

tan(Z) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

          = \(\frac{XY}{YZ}\)

          = \(\frac{9}{12}\)

          = \(\frac{3}{4}\)

sin(X) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)

          = \(\frac{YZ}{XZ}\)

          = \(\frac{12}{15}\)

          = \(\frac{4}{5}\)

cos(X) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

           = \(\frac{XY}{XZ}\)

           = \(\frac{9}{15}\)

           = \(\frac{3}{5}\)

tan(X) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

          = \(\frac{YZ}{XY}\)

          = \(\frac{12}{9}\)

          = \(\frac{4}{3}\)

Answer:

From noon to 3 pm, there are three hours so the average speed Isaiah will need to arrive in another city in 3 hours is 186/3 = 62 km/h. Since this is less than the speed limit, Isaiah can go an average speed between 62 km/h to 65 km/h to arrive at the second city on time.

Step-by-step explanation:

Answer:

its a right angle

Step-by-step explanation:

Right angles have a 90* angle, which is why they add that little square

Answer:

d) sqrt a^6 × a

Step-by-step explanation:

sqrt a^6 × a

= a× a =a

6+ 1 = 7

= sqrt a^7

The standard deviation of the ACT scores is approximately 4.2.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It indicates how much the data values deviate, on average, from the mean (or average) of the data set. A higher standard deviation indicates greater variability or spread in the data, while a lower standard deviation indicates less variability or spread.

According to the given information:

To find the standard deviation of ACT scores, we can use the given information about the mean and the percentage of scores above a certain threshold.

Given:

Mean (μ) = 21.4

Percentage of scores above 26 = 15%

Since the distribution is approximately normal, we can use the Z-score formula to find the Z-score corresponding to the given percentage. The Z-score is the number of standard deviations a particular value is from the mean in a normal distribution.

Z-score formula:

Z = (X - μ) / σ

Where:

Z = Z-score

X = Value (in this case, 26)

μ = Mean (21.4)

σ = Standard deviation (to be found)

We can rearrange the formula to solve for σ:

σ = (X - μ) / Z

Substituting the given values:

X = 26

μ = 21.4

Z = Z-score corresponding to 15% (which can be found using a standard normal distribution table or a Z-score calculator)

Assuming a standard normal distribution table or calculator gives us a Z-score of approximately 1.04 for a percentage of 15%, we can plug in the values:

σ = (26 - 21.4) / 1.04

σ = 4.4 / 1.04

σ ≈ 4.2 (rounded to the nearest tenth)

So, the standard deviation of the ACT scores is approximately 4.2.

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The order of T is 82.

Let n and e be the order and number of edges of T respectively.

Also, let a, b, c and d be the number of vertices of degree 2, 3, 4 and 5 respectively.

Then, 50+a+b+c+d = n

And by the Handshake Lemma,  the sum of the degrees of all the vertices of T is twice the number of edges, so we have

50+2a+3b+4c+5d = 2e

Since a=b=c=d then we have the following two equations,

50+4a = n

50+14a = 2e

But, T is a tree so e=n=1, then the two equations become,

50+4a = n ...............(1)

50+14a = 2(n-1) .............(2)

Solving for a in (1) we get,

a = \(\frac{n-50}{4}\)

Plugging a into (2) we get,

50+14(\(\frac{n-50}{4}\)) = 2(n-1)

50+3.5n-175 = 2n-2

3.5n-2n = 175-50-2

1.5n = 123

n = \(\frac{123}{1.5}\) = 82

Therefore, the order of T is 82.

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Answer:

30

Step-by-step explanation:

The diagonals of the parallelogram intersect at the mid-point.  the length of the side SQ is 30 units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a parallelogram, opposite sides are parallel and equal.

The dimensions of the parallelogran is shown;

SX = 2x – 1, RX = 3x – 3, and RT = 5x + 2

We know that its diagonals intersect at mid-point. Then

     RT = 2 times RX

5x + 2 = 2 × (3x – 3)

5x + 2 = 6x – 6

       x = 8

Then the side SX will be

SX = 2x – 1

SX = 2 × 8 – 1

SX = 16 – 1

SX = 15

Then the side SQ will be

SQ = 2 times SX

SQ = 2 × 15

SQ = 30

Thus, the length of the side SQ is 30 units.

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Answer:

a) What portion of his birthday money went toward new shoes? Express the value as a simplified

fraction. Then, convert the fraction to a percent Show your work

Step-by-step explanation:

a) What portion of his birthday money went toward new shoes? Express the value as a simplified

fraction. Then, convert the fraction to a percent Show your work

ANSWER

EXPLANATION

We have to find the equation of the line perpendicular to the given line:

and passes through the point (-8, 6)

A line perpendicular to another line has a slope that is the negative inverse of the line.

The slope of the given line is 3/4, so the slope of the line we are looking for is -4/3

Now, we use the point slope method to find the equation:

y - y1 = m(x - x1)

where m = slope

(x1, y1) = point the line passes through

So, we have:

That is the equation of the line.