A plumber charges 14.95 to come to the house and 27.50 per hour the plumber sends a 138.70 bill

Answer:

5 ornaments

Step-by-step explanation:

2 ornaments is 6 hours = 2/6 ornaments/hour = 1/3 ornaments/hour

1/3 ornaments/hour × 15 hours = 5 ornaments

To solve this problem using the inclusion-exclusion principle, we need to consider the number of ways to roll eight distinct dice such that all six faces appear on at least one die.

Let's denote the six faces as F1, F2, F3, F4, F5, and F6.

First, we'll calculate the total number of ways to roll eight dice without any restrictions. Since each die has six possible outcomes, there are 6^8 total outcomes.

Next, we'll calculate the number of ways where at least one face is missing. Let's consider the number of ways where F1 is missing on at least one die. We can choose 7 dice out of 8 to be any face except F1. The remaining die can have any of the six faces. Therefore, the number of ways where F1 is missing on at least one die is (6^7) * 6.

Similarly, the number of ways where F2 is missing on at least one die is (6^7) * 6, and so on for F3, F4, F5, and F6.

However, if we simply add up these individual counts, we will be overcounting the cases where more than one face is missing. To correct for this, we need to subtract the counts for each pair of missing faces.

Let's consider the number of ways where F1 and F2 are both missing on at least one die. We can choose 6 dice out of 8 to have any face except F1 or F2. The remaining 2 dice can have any of the remaining four faces. Therefore, the number of ways where F1 and F2 are both missing on at least one die is (6^6) * (4^2).

Similarly, the number of ways for each pair of missing faces is (6^6) * (4^2), and there are 15 such pairs (6 choose 2).

However, we have subtracted these pairs twice, so we need to add them back once.

Continuing this process, we consider triplets of missing faces, subtract the counts, and then add back the counts for quadruplets, and so on.

Finally, we obtain the total number of ways to roll eight distinct dice with all six faces appearing using the inclusion-exclusion formula:

Total ways = 6^8 - 6 * (6^7) + 15 * (6^6) * (4^2) - 20 * (6^5) * (3^3) + 15 * (6^4) * (2^4) - 6 * (6^3) * (1^5) + (6^2) * (0^6)

to know more about number visit:

brainly.com/question/3589540

#SPJ11

The reflexive, symmetric, transitive, additional, and multiplication characteristics are the five algebraic qualities of equality.

The reflexive property states that a = a for every real integer.

For any two real numbers, a and b, the symmetric condition is that if a = b, then b = a.

For each real number, a, b, and c, the transitive property states that if a = b and b = c, then a = c.

For every real integer a, b, and c, if a = b, then a + c = b + c. This is known as the addition property of equality.

The equality's multiplication property states that if any real integer, a, b, and c, are equal, then a * c is equal to b * c.

These features serve as the basis for algebraic manipulation and are employed in the decomposition of expressions and the solution of equations.

For such more question on equality.

https://brainly.com/question/1542520

#SPJ4

The wages earned by the worker after assembling 300 parts is $90.

The equals sign indicates that two expressions in a formula, also known as an equation, are equal.

Given:

The no of parts assembled by the worker, n = 250,

The wage he gets, r = $75

The wage earned to assemble one part = 75 / 250 = $0.3

So, the wage earned by worker by assembling 300 parts = 0.3 × 300 = $90

Therefore, the wage earned by the worker after assembling 300 parts is $90.

To know more about equation:

https://brainly.com/question/12788590

#SPJ1

Since 80 out of 100 free throws were successful, the standard deviation of the success rate would be 8, and the standard deviation of a binomial distribution is the square root of (p*q)/n, where p is the probability of success, q is the probability of failure (1-p), and n is the total number of trials.

Standard deviation is calculated as follows:

p*q/n = 0.8*0.2/100 = 0.0016 = 0.04 = 8

Since 80% of 100 equals 80 successful free throws, the standard deviation of the successes from 100 free throws would be 8. The dispersion in a set of data is measured by standard deviation. A binomial distribution's standard deviation is equal to the square root of (p*q)/n, where p is the success probability, q is the failure probability (1-p), and n is the number of trials. Since the success rate in this instance is 80%, p = 0.8, q = 0.2, and n = 100. The standard deviation is then equal to the square root of (p*q/n): (0.8*0.2/100) = (0.0016) = (0.04), which equals 8. Therefore, the standard deviation of the successes from 100 free throws for a basketball player who makes 80% of them would be 8.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

so we know the diameter is 11.4, that means its radius is half that, or 5.7.

\(\textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=14.2 \end{cases}\implies SA=2\pi (5.7)(14.2+5.7) \\\\\\ SA=11.4\pi (19.9)\implies SA=226.86\pi \implies SA\approx 712.70~in^2\)

The probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

цр = р

The standard deviation of this sampling distribution of sample proportion is:

бр = √ρ(1-ρ)÷n

The information provided is:

ρ = 0.22

ⁿ = 276

As the sample size is large, i.e. n = 276 > 30, the Central limit theorem can be used to approximate the sampling distribution of sample proportion.

Compute the value of P(р-p<0.06) as follows:

P(р-p<0.06) = P(р-p ÷ бp<0.06 ÷√0.22(1 - 0.22) ÷ 276

= P ( Z < 2.41 )

= 0.99202

≈ 0.992

Thus, the probability that the sample proportion will differ from the population proportion by less than 6% is 0.992.

Learn more about the probability at

https://brainly.com/question/24756209

#SPJ4

Answer:

Angle NQR congruent to Angle MRQ because it is given

Side QR is congruent to side QR because they are the same side

Angle NRQ is congruent to angle MQR because they are the equal angles of an isosceles triangle

Triangle QNR is congruent to Triangle RMQ by ASA

Step-by-step explanation:

It's actually pretty simple.  first you should be able to know angles NRQ and  MQR are congruent because triangle PQR is isosceles .  So now if you look at the two other triangles you can say angle NQR is congruent to angle MRQ, because of the information given, and with wht I just explained angles NRQ and MQR are congruent.  So now you can say the two triangles are similar by the angle angle postulate.  

To Say they are congruent since QR is the same for both triangles you can use the ASA postulate

Answer:

x = - 4/3

Step-by-step explanation:

6x +4 = 3x

-3x -3x

6x-3x = 3x

3x +4 = 0

-4 -4

3x = -4

_ _

3 3

x = -4/3

1. First we need to combine like terms, so we subtract 3x to both sides.

2. Then we combine the like terms

3. next move the 4 to the other side by subtracting. This will help keep the ex by itself.

4. now we divide 3 to both sides, leaving you with x = -4/3 as your answer.

1) 6x + 4 = 3x

______________

6x + 4 = 3x

6x = 3x - 4

6x = 3x - 4 - 3x

3x = -4

3x/3 = -4/3

x = - 4/3 ☑

Answer:

The midpoint is (5.5 , - 2.5)

Step-by-step explanation:

To get the midpoint of the line segment, we use the midpoint formula

We have this as follows;

(x,y) = (x1 + x2)/2 , (y1 + y2)/2

(x1,y1) = (4,-4)

(x2,y2) = (7,-1)

We have;

(x,y) = (4+7)/2 , (-4-1)/2

(x,y) = 11/2 , -5/2

(x,y) = (5.5, -2.5)

The solution to the system of equations graphed below is,

⇒ (0, 1)

Since, We have to given that;

Two system of equations are,

⇒ g (x) = 3x + 2

⇒ f (x) = |x - 1| + 1

Here, The graph of both system of equation are shown in graph.

We know that;

In a graph, the solution of system of equation are represented by a intersection point of both graph.

Here, In the graph of system of equation,

Intersection point is,

⇒ (0, 1)

Hence, The solution to the system of equations graphed below is,

⇒ (0, 1)

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

Step-by-step explanation:

4⁵ × 4^-7 / 4^-2

it is important to understand that a negative exponent means 1/...

a^-n = 1/(a^n)

in that sense we have therefore

4⁵ × 1/4⁷ × 4² (as (1/ 1/a^n) = a^n)

4⁵ × 4² × 1/4⁷ = 4⁷ × 1/4⁷ = 1

so, "1" is the fully simplified expression equal to the original expression.

Answer:

so do

24.50-13=11.50

11.50-12.00=  answer

Step-by-step explanation:

I think so

Answer:

It's 28, B

Step-by-step explanation:

EDGE 2022

If product of two consecutive positive integers is 812 then the value of lesser integer is 28.

Two or more expressions with an Equal sign is called as Equation.

Let's represent the lesser integer by x.

The next consecutive integer would be x + 1.

According to the problem, the product of these two integers is 812. So we can set up the equation:

x(x + 1) = 812

Expanding the left side and simplifying, we get:

x² + x = 812

Rearranging and factoring the left side, we get:

x² + x - 812 = 0

(x - 28)(x + 29) = 0

we can eliminate the negative value.

Therefore, the value of the lesser integer is 28. option B is correct.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

144

Step-by-step explanation:

base x length x height

12 x 4 x 3

144

The triangle's vertices will therefore be A'(4, 6), B'(0, 0), and C'(-2,4) if it is mirrored across the y-axis and then dilated by a scale factor of 2.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

Given

In line with the posed question.

Triangle ABC's vertices are A(-2, 3), B(0, 0), and C. (1, 2).

As we are aware,

The x-coordinates of each point must be negative while keeping the y-value constant in order to reflect a triangle over the y axis.

As a result, when triangle ABC is mirrored across the y-axis, its vertices are

A'(2,3)

B'(0, 0)

C'(-1, 2)

The vertices of the triangle will also change when it is dialated by a scale factor of 2.

A'(4, 6)

B'(0, 0)

And, C'(-2, 4)

The triangle's vertices will therefore be A'(4, 6), B'(0, 0), and C'(-2,4) if it is mirrored across the y-axis and then dilated by a scale factor of 2.

To learn more about scale factor, visit:

https://brainly.com/question/28602480

#SPJ4

The volume of the cone is 116ft^3

The formula of volume of a cone is given as

\(v = \frac{1}{3}\pi r^2h\\ \)

The data given are;

We can substitute the values into the equation.

\(v = \frac{1}{3}\pi r^2h\\ v = \frac{1}{3}*3.14*5.65^2*3.5 \\ v = 116.94ft^3\)

The volume of the cone is 116.9ft^3

Learn more on volume of a cone here;

https://brainly.com/question/8994737

Answer:

c

Step-by-step explanation:

You add up all of the points and divide by 5.

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

To learn more about cash : brainly.com/question/31754110

#SPJ11

The number of cube that can be packed in the rectangular prism is 30 cubes

Volume of the rectangular prism in terms of small cube and unit cube = 30(1 / 8) ft³

volume of rectangular prism = lwh

where

Therefore,

volume of rectangular prism = 3 / 2 × 1 × 5 / 2  = 15 / 4 ft³

volume of cube = 1 / 2 × 1 / 2 × 1 / 2  = 1 / 8 ft³

number of cube that can be packed in the rectangular prism = 15 / 4 × 8 =  30 cubes

Volume of the rectangular prism in terms of small cube and unit cube = 30(1 / 8) ft³

learn more on volume here: https://brainly.com/question/27879920

#SPJ1

The statement "The equation ax=0 gives an explicit description of its solution set" is true.

When the equation ax=0 is given, the solution set is explicitly described as x = 0.

In other words, the only solution to the equation is x being equal to zero. This can be verified by dividing both sides of the equation by a (assuming a is non-zero), which yields x = 0/a = 0.

Therefore, the solution set is explicitly described as x = 0.

To learn more about equation go to:

https://brainly.com/question/29657983

#SPJ11

Step-by-step explanation:

The rates of:

- coffee Bean To Go = 19/4 = $4.75

per pound

- coffee 4U = $5.25 per pound

the correct answer is :

B. coffee Bean To Go is cheaper,

selling coffee at $4.75 per pound

The length of the line segment AB such that PQ is the reflection of AB will be 6 units.

A line section that can connect two places is referred to as a segment.

A line segment is just part of a big line that is straight and going unlimited in both directions.

If we reflect any curve about the x-axis then only the y coordinate changes its sign (x,y) → (x,-y).

Given PQ is a reflection of AB and P(2,-2) and Q (8,-2)

Therefore, A(2,2) and B(8,2).

The length of AB will be,

AB = √(8 - 2)² + (2-2)² = 6

Hence "The length of the line segment AB such that PQ is the reflection of AB will be 6 units".

For more about line segments,

https://brainly.com/question/25727583

#SPJ1

For the given polynomial 5a²b-13ab+7a³-4b, the descending order is 7a³+5a²b-13ab-4b.

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Polynomials are introduced. This video defines words such as degree, standard form, monomial, binomial, and trinomial. A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division (No division operation by a variable).

Here,

The given polynomial is,

=5a²b-13ab+7a³-4b

The descending order,

=7a³+5a²b-13ab-4b

The descending order of polynomial is 7a³+5a²b-13ab-4b for the given polynomial 5a²b-13ab+7a³-4b.

To know more about polynomial,

https://brainly.com/question/11536910

#SPJ4

Answer:

a. 99817

Step-by-step explanation:

The 9 in the thousands place is larger than the 8 in the thousands place in the other two options.

Hope this helps!

The significance of a pedigree symbol consisting of a square with a diagonal slash mark through it is that it represents the male members of the family

It is a standard symbol in a pedigree chart. This symbol represents the sex of a person, in this case, it represents the male sex. In other words, a square with a diagonal slash mark through it is used to represent the male gender in pedigree charts.

A pedigree chart is a diagram that shows the genetic relationships between individuals in a family. It is used to track genetic diseases or traits through generations. A pedigree chart can provide information about a family's medical history and can help doctors to understand how genetic disorders are inherited from one generation to the next. Each symbol used in the pedigree chart has a specific meaning.

The squares represent males while the circles represent females. The horizontal line between two symbols represents marriage, and the vertical line from a symbol represents a child of that union.

See more about symbol at: https://brainly.com/question/1389310

#SPJ11

Answer:

x=10

Step-by-step explanation:

let me know if correct

Answer:

x=10

Step-by-step explanation:

Answer:

m= 340 × 0.68h

Step-by-step explanation:

Given that

You take 340 mg of the certain medication

And, the amount of medication would be reduced by 32% per hour

So we need to the find the function for M(h)

Here M denotes the milligrams

And, the h denotes the hours

So, the function would be

m = 340 × (1 - 0.32)h

m= 340 × 0.68h

The same would be considered and relevant