Look at thetriangles diagram.
The value of x is ___ °

There are Three months in a quarter of a year.

To determine what is being asked, divide the total number by the denominator and get the portion using the numerator:

1 year = 4 quarters

1 quarter= [tex]\frac{1}{4}[/tex] year

1 year = 12 months

Thus,

1 quarter = (Total number of months in year) ÷ (Total number of quarters in a year)

1 quarter = [tex]\frac{12}{4}=3[/tex]

So, There are Three months in a quarter of a year.

One year typically refers to a period of 365 days or 12 months. It usually includes the entire calendar year from January 1st to December 31st. It can also refer to a fiscal year (a period of 12 consecutive months used for accounting purposes) or a school year (which may start in late summer).

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There are Three months in a quarter of a year.

To determine what is being asked, divide the total number by the denominator and get the portion using the numerator:

1 year = 4 quarters

1 quarter= [tex]\frac{1}{4}[/tex] year

1 year = 12 months

Thus,

1 quarter = (Total number of months in year) ÷ (Total number of quarters in a year)

1 quarter = [tex]\frac{12}{4} =3[/tex]

So, There are Three months in a quarter of a year.

One year typically refers to a period of 365 days or 12 months. It usually includes the entire calendar year from January 1st to December 31st. It can also refer to a fiscal year (a period of 12 consecutive months used for accounting purposes) or a school year (which may start in late summer).

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c)  It will have less variation.

Decreasing the sample size will generally result in more variation in the distribution of sample means. This is because with a smaller sample size, there is less information available to estimate the population mean, which means that the sample mean will be less precise and will vary more from one sample to the next.

For example, if you take a sample of 10 individuals from a population and calculate the mean of their heights, the sample mean will likely be a good estimate of the population mean height. However, if you take a sample of just 2 individuals and calculate the mean of their heights, the sample mean will be less precise and will be a less reliable estimate of the population mean height. This is because the sample of 2 individuals may not be representative of the overall population, and the sample mean will be more influenced by extreme values or outliers.

In general, as the sample size decreases, the distribution of sample means will become more spread out and will have more variation. This is because with a smaller sample size, there is more uncertainty about the population mean, and the sample means will be more likely to deviate from the true population mean.

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Static electricity is an imbalance of electric charges within or on the surface of a material.

We have static electricity.

Static electricity is an imbalance of electric charges within or on the surface of a material or between materials. The charge remains until it is able to move away by means of an electric current or electrical discharge.

Therefore, Static electricity is an imbalance of electric charges within or on the surface of a material.

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The missing statements and reasons in the proof are:

R3: Alternate Interior ∠s theorem

S4: Reflexive property

R5: ASA

A proof involves statements that are stated on one column, then followed by reasons that justify the statements stated, on another column.

The missing statements and reasons in the given proof above are explained below:

Statement                                                    Reason                                            

1. Parallelogram ABCD with diagonal AC  1. Given

2. AB║CD and AD║BC                               2. Def. of parallelogram

3. ∠1 ≅ ∠2 and ∠3 ≅ ∠4                             3. Alternate Interior ∠s theorem

4. AC ≅ AC                                                  4. Reflexive property

5. ΔABC ≅ ΔCDA                                       5. ASA

6. AB ≅ CD and AD ≅ BC                          6. CPCTC

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Therefore , the slope of the ski slope is 39.197°.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Here ,

Given:

She begins her skiing at an elevation of 1.8 miles above sea level, 1.2 miles east of the ski lodge. At an altitude of 1.2 miles above sea level, she comes to an end 0.3 miles to the east of the ski lodge.

a = 1.2 miles

b =  1.8 miles

x = 1.2 miles

y= a-b = 1.8-1.2 = 0.6 miles

=>y tan A = A1

=> arctan(-) = arctan( 0.6 )

=> 0.68413 radian

A = A1 → degree= 0.68413 * 180 /π = 39.197°

Therefore, the slope of the ski slope is 39.197°.

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Answer:

[tex]5mn^{2} (2+ 5m^{2} n)[/tex]

Step-by-step explanation:

I assumed the polynomial is [tex]10mn^{2} +25m^{3}n^{2}[/tex]

FIRST: Highlight the common factors{ 5 , m and[tex]n^{2}[/tex])

[tex]5mn^{2} (2+ 5m^{2} n)[/tex]

Answer:

1 + 17 = 18

2 + 16 = 18

3 + 15 = 18

4 + 14 = 18

5 + 13 = 18

6 + 12 = 18

7 + 11  =  18

8 + 10 = 18

9 + 9 = 18

Step-by-step explanation:

Answer:

0+18=18

1+17=18

2+16=18

3+15=18

4+14=18

5+13=18

6+12=18

7+11=18

8+10=18

9+9=18

10+8=18

11+7=18

12+6=18

13+5=18

14+4=18

15+3=18

16+2=18

17+1=18

18+0=18

Answer: Yes

Step-by-step explanation:

Most of the time, if a graph passes through the origin it is a proportional relationship!

The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.

Each payment will have to be $300

The Computation results of given combination and permutation expression,

(A) P(9, 3) = 504

(B) C(9, 3) = 84

(C) P(8,8) = 40,320

(D)P(9,9) = 1

A permutation is an arrangment of arranging objects or numbers in order.

The formula for permutations is

ⁿPᵣ = n!/(n-r)!

Combinations are the way of selecting objects or numbers from a group of objects, in such a way that the order of the objects does not matter.

The formula for combinations is,

ⁿCᵣ = n!/[r! (n-r)!]

ⁿCᵣ represents the number of combinations from “n” objects taken “r” at a time.

We have given some expressions and we shall compute these.

(A) P(9, 3) , here n = 9 and r = 3

=> P(9, 3) = 9!/(9-3)! = 9!/6! = 9×8×7×6!/6!

P(9, 3) = 9×8×7 = 504

(B) C(9, 3) = 9!/3!(9-3)! = 9!/6!×3!

= 9×8×7×6!/6!(3×2×1) = 9×8×7/6 = 84

(C) P(8, 8) = 8!/(8-8)!

= 8!/0! = 8! = 8×7×6×5×4×3×2×1 = 40,320

(D) C (9, 9) = 9!/9!(9-9)!

= 9!/9! 0! = 1

Hence ,we get all the values of given expression.

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Answer:

9 · (x - 2)

Step-by-step explanation:

Since the problem tells us to let "a number" be the letter x, let's rewrite the sentence to include x instead of the term "a number". Doing so gives us the sentence "The product of 9 and the difference of x and 2."

Step 1: Multiplication

Now, let's work from left to right. The first word we see is "product", which refers to the operation of multiplication, as this term is used to describe the resultant quantity from multiplying 2 numbers. From the sentence, we see that the two terms we are multiplying are "9" and "the difference of x and 2". Note that we include the difference in one of our terms because of the structure of the sentence  - we usually describe a product as being a product of [one term] and [another term] as it is here.

To denote multiplication, we can use the symbol "×", but to avoid confusion between this symbol and the letter x, let's use the symbol "·". Now, we have the expression 9 · (the difference of x and 2).

Step 2: Subtraction

We still aren't done, however, because we still have some words left to "translate" into algebra. The use of the word "difference" tells us that the operation to be used is subtraction, as this term is used to describe the resultant quantity from subtracting 2 numbers. Again, the sentence tells us that the terms we are subtracting are x and 2, but which order do they go in? (This is important to consider because unlike multiplication, subtraction is not a commutative property - in other words, a - b does not necessarily equal b - a, but a · b always equals b · a.)

To answer this question, we refer again to the sentence. When dealing with a non-commutative operation, we write out the terms in the order they appear in. Therefore, "the difference of x and 2" can be represented as x - 2 (note that we use the "-" symbol as we are subtracting quantities).

Step 3: Combine the 2 Operations

Putting all of this information together, we get the algebraic expression of 9 · (x - 2). Remember to put x - 2 in parentheses, otherwise it looks like we are multiplying 9 and x and then subtracting 2 from that quantity, which is not what our original sentence was.

The total number of methods to select the five-person committee and guarantee that there aren't any members with the same major is= 4004ways.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

According to our question-

From the two students with same major we also use the combination Formula in knowing the number of ways any of the two students can be chosen. To choose one from these two students, we use the combination Formula 2C1.

the two students with same major aren't on the committee becomes:

14C5 * 2C1

2002 * 2

4004ways.

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The measurement of ∠RPQ is 20°.

What is the meaning of extended point?

A polygon's extended side or sideline in plane geometry is the line that contains one of the polygon's sides. Several situations call for the extension of a side.

Given that,

In ΔPQR, the side PR is extended to the point S.

The measurement of ∠RPQ is (x+12)°, ∠QRS is (7x+8)°, and ∠PQR is (3x+20)°.

We know that, the exterior angle of triangle is equal to the sum of opposite interior angles.

Therefore,

∠QRS = ∠RPQ + ∠PQR

Putting the value of ∠QRS, ∠RPQ, ∠PQR in the above equation:

(7x+8)° = (x+12)° + (3x+20)°

7x + 8 = 4x + 32

Subtract 4x from both sides:

3x  + 8 = 32

Subtract 8 from both sides:

3x = 24

Divide both sides by 3:

x = 8

Putting x = 8 in ∠RPQ = (x+12)°

∠RPQ = (8+12)° = 20°

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Internal validity explains the association between binge-watching tv and irritability.

In the context of a specific study, internal validity refers to how strongly a piece of evidence supports a claim regarding cause and effect. It is one of the most crucial characteristics of scientific research and a crucial idea when considering evidence more generally.

The extent to which alternative explanations for a study's findings (often, sources of systematic error or "bias") can be ruled out is a measure of its internal validity. In contrast, external validity measures how well data support judgments made regarding other situations (that is, the extent to which results can be generalized).

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Answer:

To determine how much money Janet will save by purchasing round coins instead of rectangular bars, we need to find the difference in cost between the two options.

First, we can find the cost of the round coins by plugging 40 ounces into the equation p=27s:

p = 27 * 40 = 1080

Next, we can find the cost of the rectangular bars by plugging 40 ounces into the equation p = 27.5s + 50:

p = 27.5 * 40 + 50 = 1100

The difference in cost between the two options is 1100 - 1080 = $<<1100-1080=20>>20. Therefore, Janet will save $20 by purchasing round coins instead of rectangular bars.

Step-by-step explanation:

SELF EXPLANATORY

The probability that a child chosen at random from the class has both a cat and a dog is 1/10.

Suppose b is the total number of kids that have both:

• children having a cat Only must be 14 - b

• children having a dog Only must be 19 - b

We also get:

We also know there are 30 kids, therefore

⇒ (14 - b) + b + (19 - b) = 30

⇒ 33 - b = 30

⇒ b = 3

Consequently, we now understand:

3/30 = 1/10

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The given measurement in scientific notation as [tex]6\times10^9[/tex]. Therefore, option D is the correct answer.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].

The given distance is 6,000,000,000 miles.

There are 9 zeros in the given number

So, scientific notation is [tex]6\times10^9[/tex]

Therefore, the number in scientific notation is [tex]6\times10^9[/tex].

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Answer:

Yes, there is. It's called a regular 52-gon.

In  linear equation, 5  batches of slime can Mr. Lincoln make.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                 Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Based on the given conditions, formulate = 3 ÷ 2/3

                                             = 3 * 3/2

                                          = 3 * 3/2

                                            = 9/2

the smallest integer greater than or equal to = 9/2 : 5

                                                                         = 5

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Infeasibility is the absence of a solution in the set of solutions to a linear programming models which satisfy all requirements.

If no feasible solution could be created, or if no solution exists that fulfills all of the criteria, then a linear program is infeasible.

Thus, infeasibility is the absence of a solution in the set of solutions to a linear programming models which satisfy all requirements.

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Answer:

-------------------------------------------------

The equation should read:

Solve it in below steps:

Correct choice is A.

Answer:

When using raitos you want to do P=2 +2+2+2

P=8

when L equals Ochoa

what will the answer be?

B2 + 62 + 25 gives us 169 - 25 and that gives us C Ronaldo

Step-by-step explanation:

Hope this helped! :)

The domain of the given function is (-∞, ∞), the rage of the function is (-∞, 1).

What is a function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The lowest to highest value of x-coordinate is the domain of the function.

The lowest to highest value of y-coordinate is the range of the function.

The highest point of the function is (2.5, 1).

The highest value of y-coordinate is 1.

Since the graph function can be expended to infinity, the lowest value of y-coordinate is -∞.

The range of the function is (-∞, 1).

Both ends of graph can be extended -∞ to ∞ for x-coordinate.

The domain of the function is (-∞, ∞).

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The approximate of [tex]f_{x}(3,5)[/tex] ≈ 4

We have to find an approximate of [tex]f_{x}(3,5)[/tex]  using the contour diagram, x and y, which was shown below. The slope of a second line is used to estimate the x and y direction. The curl f divides by the curl x is almost equal to the delta x. At the point of x, 13 is equal to 17 and 2 is equal to 18. The points are in a diagram. The curly f divides by curly x is equal to the delta f divided by delta x, which is 18 minus 17 divided by 2 minus 1. The value of a f is equal to 1. From here we can say that f of x 13 is equal to 1.

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Answer:13.77 cm.

Step-by-step explanation:

r = sqrt((3V)/(pih))

= sqrt((31758)/(pi29))

= sqrt((5274)/(pi*29))

= sqrt(182.16)/(pi/29)

= 13.77 cm