The sampling method that assumes a sample's average audited value will, for a certain sampling risk and allowance for sampling risk, represent the true audited value of the population is ______ estimation.

Answer:

Gary's grocceries

Step-by-step explanation:

When you find how much it costs for one can at both stores gray's store is cheaper (.88 cents/per can) where as Marissa's store costs (1.2 dollars/ per can)

Answer:

When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution

Step-by-step explanation:

Size of x = 102°

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.

Given,

In triangle ABC

Sum of interior angles is 180°

∠CAB + ∠ABC + ∠BCA = 180°

87° + ∠ABC + 36° = 180°

123° + ∠ABC = 180°

∠ABC = 180° - 123°

∠ABC = 57°

In triangle DBG

Exterior angle is equal to sum of two opposite interior angles.

DGF = GDB + DBG

DGF = GDB + ABC

DGF = 45° + 57°

DGF = 102°

DGF and EFC are alternate angles made by EF and DG on BC

∴ EFC = DGF

x = 102°

Hence, 102° is size of x.

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Answer:

MO = 8 units

MP = 4 units

Step-by-step explanation:

\( In\: \triangle MOP, \\

\angle P = 90\degree ... (given) \\

\angle M = 60\degree ... (given) \\

\therefore \angle O = 30\degree(3^{rd} \: \angle \: of\: \triangle) \\

Let \huge\purple {MO = x \: units}... (1)\\

\therefore MP = \frac{1}{2} \times MO\\(side\: opposite \: to\: 30\degree) \\\\

\therefore MP = \frac{1}{2} \times x\\\\

\huge\red {\therefore MP = \frac{1}{2} x}.... (2)\\\\

\therefore PO = \frac{\sqrt 3}{2} \times MO\\(side\: opposite \: to\: 60\degree) \\\\

\therefore PO = \frac{\sqrt 3}{2} \times x\\\\

\huge\orange{\therefore PO = \frac{\sqrt 3}{2}x} \\\\

\because MP + PO + MO = P(\triangle MOP) \\\\

\therefore \frac{1}{2} x+\frac{\sqrt 3}{2}x+ x = 12+4\sqrt 3\\\\

\therefore \frac{1}{2} x+x+\frac{\sqrt 3}{2}x= 4(3+\sqrt 3)\\\\

\therefore \frac{3}{2} x+\frac{\sqrt 3}{2}x= 4(3+\sqrt 3)\\\\

\therefore \frac{(3+\sqrt 3)}{2} x= 4(3+\sqrt 3)\\\\

\therefore x = 4(3+\sqrt 3)\times \frac{2}{(3+\sqrt 3)}\\\\

\therefore x = 4\cancel{(3+\sqrt 3)}\times \frac{2}{\cancel {(3+\sqrt 3)}}\\\\

\therefore x = 4\times 2\\\\

\therefore x = 8\\\\

\huge\purple {\boxed{\implies MO = 8}} \: \\ [From\: equation \: (1)]\\\\

\because MP = \frac{1}{2} x \:

\\ [From\: equation \: (2)]\\\\

\therefore MP = \frac{1}{2} \times 8\\\\

\huge\red {\boxed{\therefore MP = 4 \: units}}

\)

Answer:

1 : 1.5

Step-by-step explanation:

Given the ratio

2 : 3 ← divide both parts by 2

= 1 ; 1.5

Answer:

The answer is n = 3/2.

Step-by-step explanation:

2:3: : 1:2,

2n = 3,

n = 3/2

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Answer:

15x + 5 = (equal to) 145

or

15x + 5 < (less than) 145

Step-by-step explanation:

x = how many boxes of chocolate Dan gets in total

The number of people employed in the service industry in New York is 3,838,420.

Percentage is a measure of frequency that is used to determine the fraction of an amount as a number out of hundred. The sign that represents percentage is %.

In order to determine the number of people employed in the service industry, multiply the percentage of the people who work in the service industry by the number of people who had jobs in 2002.

Number of people employed in the service industry = 41% x 9,362,000

0.41 x x 9,362,000 = 3,838,420

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Answer:

The answer is graph C.

Step-by-step explanation:

Because both equations give the same line, it's infinitely solutions.

We have

tennis racket price $54

Firs we need to obtain the 30 %

54*.30=16.2

then in order to know the sale price we need to substract the 30% of the original price

54-16.2=37.8

the sale price is $37.8

Answer:

690 - 595

Step-by-step explanation:

As we know that representation of a 3 digit number = xyz

where x \(\neq\) 0

z is at ones place

y is at tens place

x is at hundred place

As, we have to subtract two 3 digits numbers with different hundred digits

So, Let

The hundred digit of first number be 6

The hundred digit of second number be 5

∴

Assume first number with hundred digit 6

Let the number be - 690

Now,

Assume second number with hundred digit 5

Let the number be - 595

Now,

We will check that the difference between both the numbers are less than 100 or not

Now,

690 - 595 = 95 < 100

It satisfies the condition

So, the equation becomes 690 - 595

Answer:

\(36\)

Step-by-step explanation:

The expression \(_nC_k\) is used to denote the number of ways you can choose \(k\) things from a set of \(n\) things. It is equal to:

\(_nC_k=\binom{n}{k}=\frac{n!}{k!(n-k)!}\)

In this case, \(n=9\) and \(k=2\), so:

\(\implies \frac{9!}{2!(9-2)!}=\frac{9!}{2!7!}=\boxed{36}\)

You can also think of it like this:

\(_9C_2\) is saying 9 choose 2. We are choosing 2 things from a set of 9 things, where order doesn't matter. For the first thing we choose, there are 9 options. Then 8 options, 7, and so on. Since we're only choosing two things, there are \(9\cdot 8=72\) permutations. However, the order of which we choose each thing does not affect what we've chosen overall (e.g. If we're choosing two donut flavors original and strawberry, it doesn't matter which flavor I choose first, because I'm still getting the same two flavors). Therefore, we must divide this by the number of ways we can arrange two distinct values, which is \(2!\). Our answer is thus \(\frac{72}{2!}=\frac{72}{2}=\boxed{36}\)

=========================================================

Explanation:

We have 9*8 = 72 different permutations. This is if we used the nPr formula with n = 9 and r = 2.

Notice the countdown from 9 to 8. This is because we don't reuse the same element twice.

Since order doesn't matter with nCr, we will divide by 2. This is because something like AB is the same as BA. So we go from 72 to 72/2 = 36

The value 36 is found in Pascal's Triangle in the row that has 1,9,... at the start of it. Start at the left hand side and count exactly 3 spaces to the right, and you should land on 36.

In third-angle projection, the view of a component is drawn next to where the view was taken. In first-angle projection, the view is drawn on the other end of the component, at the opposite end from where the view was taken.

First angle Protuberance is a system of creating a 2D delineation of a 3D object. It's substantially used in Europe and Asia and has not been officially used in Australia for numerous times. In Australia, third angle protuberance is the favored system of orthographic protuberance. Note the symbol for first angle orthographic protuberance

Third Angle Projection the Object is placed in the Third Quadrant. This means that the Vertical Aeroplane is in front of the object and the Vertical Aeroplane is above the object. These changes in the position of the views are the only difference between protuberance styles.

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Answer:

33.2

Step-by-step explanation:

24²+²23²=1105

Square root of 33.2415

=33.2

Answer:

Step-by-step explanation:

\(\frac{5}{10}*\frac{-4}{12}-\frac{1}{3}-\frac{4}{12}*\frac{2}{10}\\\\=\frac{1}{2}*\frac{-1}{3}-\frac{1}{3}-\frac{1}{3}*\frac{1}{5}\\\\= \frac{-1}{3}[\frac{1}{2}+1+\frac{1}{5}]\\\\=\frac{-1}{3}[\frac{1*5}{2*5}]+\frac{1*10}{1*10}+\frac{1*2}{5*2}]\\\\=\frac{-1}{3}[\frac{5}{10}+\frac{10}{10}+\frac{2}{10}]\\\\=\frac{-1}{3}[\frac{5+10+2}{10}]\\\\=\frac{-1}{3}*\frac{17}{10}\\\\=\frac{-17}{30}\)

As per the given confidence interval, the value of P is lees than significant.

Confidence interval:

In statistics, a range around a measurement that conveys how precise the measurement is referred as confidence interval.

Given,

A precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance.

Here we need to find the assumptions of the given situation,

From the given question we have identified the following,

Reading of instruments = 353, 351, 351, and 355.

Confidence interval = 90% = 0.09

Number of units = 2.

Based on these details, the standard deviation of this temple is 0.7.

So, the Z score is the same as the sample mean minus the population mean divided by the standard error, which is 2.857.

Therefore, P value was less than significant.

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Answer: not very sure but i think that may be 5

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

\(x^3-13x-12\text{ is divisible by } x^2-x-12\)

We can factor the divisor:

\(x^2-x-12=(x-4)(x+3)\)

According to the Factor Theorem, if we have a polynomial P(x) divided by a binomial in the form of (x - a) and if P(a) = 0, then the binomial is a factor of P(x).

Our two binomial factors our (x - 4) and (x + 3). Thus, a = 4 and a = -3.

Evaluate the polynomial for both of these factors:

\(P(4)=(4)^3-13(4)-12=0\)

And:

\(P(-3)=(-3)^3-13(-3)-12=0\)

Since both yielded zero, the original polynomial is divisible by both (x - 4) and (x + 3) or x² - x - 12. Hence:

\(x^3-13x-12\text{ is indeed divisible by } x^2-x-12\)

Answer:

the line of symmetry. It's like a mirror.

Step-by-step explanation:

\(\textit{we know that }\theta \textit{ contains the point }(\stackrel{x}{3}~~,~~\stackrel{y}{0})\textit{, let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ r^2=a^2+b^2\implies r=\sqrt{a^2+b^2}\implies r=\sqrt{3^2+0^2} \qquad \begin{cases} r=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ r=\sqrt{3^2}\implies r=3\)

\(\rule{34em}{0.25pt}\\\\ sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r}\implies \cfrac{0}{3}\implies 0 \\\\\\ cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r}\implies \cfrac{3}{3}\implies 1 \\\\\\ tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x}\implies \cfrac{0}{3}\implies 0\)

\(cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y}\implies \cfrac{3}{0}\implies und efined \\\\\\ sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x}\implies \cfrac{3}{3}\implies 1\)

-10

By BODMAS Method

8 + 3*4 ÷ -2*3

8 + 3* \(\frac{4}{-2}\) *3

8 + 3*-2*3

8 +(-18)

-10

The order of operations (BODMAS) in mathematics and computer programming refers to a set of rules that represent standards for which operations to carry out first in order to evaluate a specific mathematical expression.

For instance, since the advent of contemporary algebraic notation, multiplication has been given a higher priority than addition in mathematics and most computer languages.

As a result, 1 + (2 × 3) = 7, rather than (1 + 2) × 3 = 9. is the value assigned to the expression 1 + 2 × 3. BODMAS was first used in the 16th and 17th centuries when addition and multiplication were given priority. BODMAS could only is used as a superscript to the right of their base.

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Answer:

The measure of angle ∠PQS is 28.5°

Step-by-step explanation:

If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half of the measure of this angle.

In our question

∵ Ray QS bisects ∠PQR  

→ That means it divides it into two angles PQS and SQR

∴ m∠PQS = m∠SQR = \(\frac{1}{2}\) m∠PQR

∵ m∠PQR = 57°

→ Multiply its measure by  \(\frac{1}{2}\) to find the measures its parts

∴ m∠PQS =  \(\frac{1}{2}\) × 57°

∴ m∠PQS = 28.5°

∴ The measure of angle ∠PQS = 28.5°

Answer:

We see that it is always possible to write both M and N as the products of the same prime factors, albeit with different exponents. Some of the exponents will need to be zero.

Now, both GCD(M, N) and LCM(M, N) are products of the same prime factors where the exponents in G are the least of the corresponding two, whilst in L they are the largest:

GCD(M, N) = p min(a, α) q min(b, β)· ... · r min(c, γ),

LCM(M, N) = p max(a, α) q max(b, β)· ... · r max(c, γ).

Now, (2) thus insures that (1) holds. To continue the example:

GCD(12, 10) = 213050 = 2,

LCM(12, 10) = 223151 = 60.

Naturally, 12×10 = 2×60.

Step-by-step explanation:

The value of m + n if, m and n are positive integers greater than 1. The product of GCD and LCM of the integers is 143 is 24.

In mathematics, a number that is obtained by multiplying two or more other numbers together is known as the product. For instance, the result of multiplying 2 and 5 together is 10, or the product.

Given:

m and n are positive integers greater than 1,

The product of GCD and LCM of the integers is 143,

The product of GCD and LCM of the integers is  equal to the number's product, so,

m × n = 143

Factorize the number 143 as 11 × 13

As you can see that there are only two numbers whose product is 143, and they are greater than 1,

Thus, m = 11 and n = 13.

m + n = 11 + 13 = 24

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The probability of selecting red balls from a bag containing both red and blue balls is equal to the number of red balls divided by the total number of balls. In this example, let's assume there are 10 red balls and 10 blue balls, so the probability of selecting a red ball would be 10/20 or 1/2, or 50%.

To explain further, the probability is the likelihood of an event occurring and is expressed as a number between 0 and 1, or a percentage between 0% and 100%. A probability of 0 means the event will never happen, while a probability of 1 means it will always happen. The probability of selecting a red ball in this example is 50%, meaning that it is equally likely to select either a red ball or a blue ball.

In other words, if the bag contained 10 red balls and 10 blue balls and you randomly selected one ball from the bag, there is a 50% chance that the ball will be red and a 50% chance that the ball will be blue.

If the number of red balls or blue balls changes, the probability of selecting a red ball would also change. For example, if the bag contained 6 red balls and 10 blue balls, the probability of selecting a red ball would be 6/16 or 3/8, or 37.5%.

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Answer:

I think it's 90?

Step-by-step explanation:

Answer:

3(2x-5)+4(x+2) =33

Step-by-step explanation:

3(2x-5)+4(x+2)

3(2(4)-5)+4(4+2)

3(8-5)+4(6)

3(3)+24

9+24

33

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The probability of selecting a card with no green faces is 3/11. The probability that the other side of a green card isn't green is 1/11.

The probability of an event is determined by the number of favorable outcomes divided by the total number of possible outcomes.

Let's analyze each event to determine the probability.
A. Probability of selecting a card with no green faces:
To find this probability, we need to count the number of cards that don't have any green faces and divide it by the total number of cards.
From the given information, cards 4, 8, and 9 don't have any green faces.
Total cards without green faces: 3
Total number of cards: 11 (cards 1 to 11)
So, the probability of selecting a card with no green faces is 3/11.
B. Probability of selecting a card with a red face:
To find this probability, we need to count the number of cards that have at least one red face and divide it by the total number of cards.
From the given information, cards 3, 4, 9, and 10 have at least one red face.
Total cards with a red face: 4
Total number of cards: 11 (cards 1 to 11)
So, the probability of selecting a card with a red face is 4/11.
C. Probability of selecting a card with the same color on both faces:
To find this probability, we need to count the number of cards that have the same color on both faces and divide it by the total number of cards.
From the given information, cards 1, 4, 9, and 11 have the same color on both faces.
Total cards with the same color on both faces: 4
Total number of cards: 11 (cards 1 to 11)
So, the probability of selecting a card with the same color on both faces is 4/11.
D. Probability that the other side of a red card is also red:
To find this probability, we need to count the number of red cards and divide it by the total number of cards, then multiply it by the probability that the other side is also red.
From the given information, cards 3, 4, 9, and 10 are red.
Total red cards: 4
Total number of cards: 11 (cards 1 to 11)
The probability that the other side is also red is 2/4 because there are 2 red-red cards (cards 3 and 9) out of the 4 red cards.
So, the probability that the other side of a red card is also red is (4/11) * (2/4) = 2/11.
E. Probability that the other side of a green card isn't green:
To find this probability, we need to count the number of green cards and divide it by the total number of cards, then subtract the probability that the other side is also green.
From the given information, cards 1, 5, and 6 are green.
Total green cards: 3
Total number of cards: 11 (cards 1 to 11)
The probability that the other side is also green is 2/3 because there are 2 green-green cards (cards 1 and 5) out of the 3 green cards.
So, the probability that the other side of a green card isn't green is (3/11) * (1 - 2/3) = 1/11.
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0.625

Explanation:
We know that 0.125 is equal to 1/8, so you can then multiply 0.125 by 5.

Dividing 5/8, It's Equal To 0.625

Step-by-step explanation:

5/8 = O.625