Marcus rolled a number cube and recorded his results in the table. What is the experimental probability that the next roll is a five? Round your answer to the nearest whole percent.

The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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Answer:

63205.5

125+125+126+126+126+126+127+129+130+130+132+134=126,411

126,411/2=63205.5

Answer:

Part A: The two types of types of transformation are

1) Rotation of 11.3° about (1, 2)

2) By algebraic transformation

Part B:

Rotation by 11.3° and T(2 - y)×1/2 + x, 0)

Part C: The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

Step-by-step explanation:

The coordinates through which the linear function f(x) passes = (1. 3) and (3, 13)

The coordinates through which the linear function g(x) passes = (1, 3) and (1, 13)

The equation for f(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(3 - 1) = 5

The equation in point and slope form is y - 3 = 5×(x -1)

y = 5·x - 5 + 3 = 5·x - 3

y = 5·x - 3

The equation for g(x) in slope and intercept form. y = m·x + c is given as follows;

The slope, m = (13 - 3)/(1 - 1) = ∞

∴ The equation in point and slope form is x = 1

Therefore, the two equations meet at the point (1, 2)

The transformation that can be used to transform f(x) to g(x) is T(2 - y)×1/2 + x, 0)

2) Another transformation that can be used is to rotate f(x) by the vertex angle as follows

Vertex angle is 90° - tan⁻¹(m) = 90° - tan⁻¹(5) ≈ 11.3°

Rotation of f(x) by 11.3° about (1, 2) gives g(x)

Hope this helped!

Answer:

Step-by-step explanation:

Answer:

For every 5dollars spent on decals, 1 dollar is spent on laces

Answer: \(x=0, -\frac{3}{2}\)

Step-by-step explanation:

\(4x^2 +6x=0\\\\2x(2x+3)=0\\\\2x=0, 2x+3=0\\\\x=0, -\frac{3}{2}\)

Answer:

D

Step-by-step explanation:

The number of downloads of the standard version is 949.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Two versions of a song.

S = Standard version size = 2.3 MB

H = High-quality size = 4.1 MB

Hgh quality size = 3 x Standard quality size

H = 3 x S

H = 3S ____(1)

The total size downloaded for the two versions was 3796 MB.

This can be written as:

H + S = 3796 ______(2)

From (1) and (2) we get,

3S + S = 3796

4S = 3796

S = 3796/4

S = 949

Now,

From (1),

H = 3S = 3 x 949 = 2847

The number of downloads of the standard version is 949

The number of downloads of the High-quality version is 2847

Thus,

The number of downloads of the standard version is 949.

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Answer:

Total inventory cost is $9,965.

Step-by-step explanation:

The terms free on board FOB shipping point implies that the delivery of a good is taken by the buyer after it left the supplier's shipping dock. Therefore, any other relevant cost incurred afterwards will be paid by the buyer.

From the all the cost listed in the question, the $1,500 for sales staff salaries, $110 for online advertising, and $300 for lawn care are NOT related to the inventory cost because they are administrative and sales expenses.

Therefore, the total inventory cost can be calculated using the following relevant cost:

Acquisition cost = $9,000

Transportation-in by train = $280

Shipping insurance = $135

Used panel restoration = $550

Therefore, we have:

Total inventory cost = Acquisition cost + Transportation-in by train + Shipping insurance + Used panel restoration = $9,000 + $280 + $135 + $550 = $9,965.

Answer: 5968430.999

Step-by-step explanation:

We are 95% confident that the true population proportion is between 71.6% and 80.4%

The 95% confidence interval for the proportion of all U.S. grown people who would include those  on their list of 10 historic events can be constructed using the formula:

Where:

\(pi\) = sample proportion (76%)

SE = standard error (square root of \(pi(1-pi)/n\))

z = the critical value for a 95% confidence level (1.96)

n = sample size (2025)

Plugging in the values, we get:

\(SE =\sqrt{(0.76(1-0.76)/2025)} = 0.0240\\CI = 0.76 ± (1.96)(0.0240) = (0.716, 0.804)\)

The 95% confidence interval can be interpreted as follows: If we repeated this study many times, 95% of the intervals constructed would contain the true population proportion of all U.S. grown persons who would include on their list of 10 historic events. Based on this sample, we are 95% confident that the true population proportion is between 71.6% and 80.4%.

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From the 2 column proof below, we have been able to prove the congruent triangles that ΔABC ≅ ΔCDA.

We will use a two column proof to prove that ΔABC ≅ ΔCDA.

Statement 1; AD ≅ BC

Reason 1; Given

Statement 2; AD ║ BC      

Reason 2; Given

Statement 3; AC ≅ AC  

Reason 3; Reflexive Property of congruence

Statement 4; ∠DAC ≅ ∠ACB

Reason 4; If 2 parallel lines are cut by a transversal, the alternate interior angles are congruent.

Statement 5; ΔABC ≅ ΔCDA                    

Reason 5; Side Angle Side(SAS) Congruence  Postulate

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Answer:

x=0 y=0.5

Step-by-step explanation:

Segment, ray and line are one-dimensional figures.

We need to check from the given options which are one-dimensional figures.

One-dimensional: Only a single measurement is possible for a one-dimensional figure. A line segment drawn on a surface is a one-dimensional object, as it has only length and no width.  

Here, the segment is a one-dimensional figure.

Ray is a one-dimensional figure.

Angle is a two-dimensional figure.

A line is a one-dimensional figure.

The plane is a two-dimensional figure.

A cube is a three-dimensional figure.

Therefore, segment, ray and line are one-dimensional figures.

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By the compound interest formula, you know that

Given:

There is a line given as

Required:

a)

Find equation of line that parallel which is passes through ( 9 , - 2 )

b)

Find equation of line that perpendicular which is passes through ( 9 , - 2 )

Explanation:

Here take

a)

The slope of parallel line is same

so the slope m is 3/7

now to find the line which is passes through ( 9 , - 2 )

b)

Slope of perpendicular line is

now to find the line which is passes through ( 9 , - 2 )

Final answer:

a)

b)

Answer:

Yes, (x - 3) is a factor of P(x) and 3 is a zero or root of P(x)

Step-by-step explanation:

Determine whether or not (x - 3) is a factor by using synthetic division with +3 as the divisor.  The coefficients of the polynomial p(x) are {2  -5  -4  0  9}.

Setting up synthetic division:

3   /   2    -5    -4    0    9

                6     3    -3   -9

    -------------------------------

          2     1     -1     -3    0

Since the remainder is zero (0), we know that 3 is a root of the polynomial P(x) and that (x - 3) is a factor of said polynomial.

Answer:

Using the Pythagorean Theorem, we know x^2 + 46^2 is equal to 65^2. With that in mind, it is important to note:

65^2 = 4,225

46^2 = 2,116

To find the missing angle, we must subtract 2,116 from 4,225 and then identify the difference’s square root.

4,225 - 2,116 = 2,109

√2,109 ≈ 45

Hence, x ≈ 45.

Step-by-step explanation:

Answer:

340

Step-by-step explanation:

If x is the amount of pages in the book we can write:

1/4x + 5 + 3/5(x - (1/4x + 5)) + 10 + 12 + 24 = x

1/4x + 51 + 3/5(3/4x - 5) = x

1/4x + 51 + 9/20x - 3 = x

7/10x + 48 = x

3/10x = 48

x = 160

\(3b+b=4b\\\\2(2b)=4b\\\\\)

Answer: 110 degrees

Step-by-step explanation: If we have a triangle with an exterior line sticking out, we can determine the measure of the exterior angle by applying the Exterior Angle Theorem. According to the theorem, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

In this case, the two known interior angles are 65 degrees and 45 degrees. To find the measure of the exterior angle, x, we add these two angles:

x = 65 degrees + 45 degrees

x = 110 degrees

\(\large \maltese \:{ \underline { \underline{ \pmb{ \sf{SolutioN }}}}} : -\)

we have given ,

★ According to Angle sum property of triangle, the sum of interior angles of a triangle is 180°.

➝ ∠ A + ∠ B + ∠ C = 180°

➝ 65° + 45° + ∠ C = 180°

➝ 110° + ∠ C = 180°

➝ ∠ C = 180° - 110°

➝ ∠ C = 70°

Now,

★ Calculating for x :-

↝ ∠ C + x = 180°

↝ 70° + x = 180°

↝ x = 180° - 70°

↝ x = 110°

Hence, The value of x will be 110°.

The population mean income of the five families is their average income

The population mean income of the five families is #15.2

The income of the five families in a thousand dollars is given as:

A 12 B 23 C 18 D 7 E 16

The population mean is then calculated as:

\(\mu = \frac{\sum x}n\)

So, we have:

\(\mu = \frac{12 + 23 + 18 + 7 + 16}5\)

Evaluate the sum

\(\mu = \frac{76}5\)

Evaluate the quotient

\(\mu = 15.2\)

Hence, the population mean income of the five families is #15.2 thousand

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The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Answer:

5.50%

Step-by-step explanation:

Answer:

5.5% increase

Step-by-step explanation:

Solution

You subtract value to from value 1 put it in a fraction and  x it by 100 and there's your answer.

Calculations

422 - 400=22

Next in fraction 22/400=0.055

0.055 x 100=5.5

And there's you answer.

Hope it  helps have a magnificent day

The inequalities in interval notation are given below

What is an inequality?

An inequality in maths is a relationship that makes a non-equal distinction between two values as well as other mathematical expressions. It is most frequently used to compare the sizes of two digits on a number line. There are multiple formulae used to denote various types of inequalities:
(i) The symbol a < b indicates that a is less than b.

(ii) a > b indicates that a is bigger than b.

In either scenario, a and b are not equivalent. These are characterized as tight inequalities because a is either strictly less than or strictly bigger than b. Equivalence is not permitted. In contrary to rigorous inequalities, there are two forms of non-strict inequality relationships.

The inequalities in interval notation are given below:

(a) (0, 11)

(b) (9, 4]

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Answer:

645/100 = 129/20 or 6.45

645/50 = 129/10 or 12.9

48.6/30 = 1.62

48 divided by x = 48.6/x

Step-by-step explanation:

645/100

Factor the number:

= 5*129/100

Factor the number:

= 5*129/5*20

Cancel the common factor:

= 129/20

645/50

Factor the number:

5*129/50

Factor the number:

5*129 / 5*10

Cancel the common factor:

= 129/10

48.6/30

Write the problem in long division format

Multiply the quotient digit (1) by the divisor (30)

Subtract 30 from 48

Add a decimal and bring down the next number

Divide 186 by 30 to get 6

Continue...A few steps later...

Subtract 60 from 60

Solution is 1.62

48.6/x

Re-write division as a fraction:

48.6/x