why statistical sampling is better to use than nonstatistical in testing of controls ?

Since, we have to find the sides of the given triangle we will make it a right angle triangle.

Construction: Extend XY to 1 unit and name it Z and join the point W with Z.

Now, the triangle YWZ is a right angle triangle where

YZ = 1 unit

WZ = 3 units

Then \(WY = \sqrt{(YZ)^{2}+ (WZ)^{2} }\)     [By Pythagoras Theorem]

= \(WY = \sqrt{(1)^{2}+ (3)^{2} }\)

= \(WY = \sqrt{(10) }\)

= \(WY = 3.16\) units

Now, the triangle XWZ is also a right angle triangle where

XZ = 3 units

WZ = 3 units

Then \(WX = \sqrt{(XZ)^{2}+ (WZ)^{2} }\)    [By Pythagoras Theorem]

= \(WX = \sqrt{(3)^{2}+ (3)^{2} }\)

= \(WX = \sqrt{18\)

= \(WX =4.23\) units

Now, In triangle XYW

XY = 2 units

WY = 3.16 units

WX = 4.23 units

∴ The perimeter of the triangle XYW will be

XY + WY + WX

= 2 + 3.16 + 4.23

= 9.39 units

To the nearest hundred, 9.39 rounds to 9

⇒ The perimeter of the triangle XYW is 9 units.

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Answer:

2,0?

Step-by-step explanation:

To do this, find your first derivative and then find where it is equal to zero. Because we are only concerned about the interval from -5 to 0, we only need to test points on that interval. (i really don't know hot to explain)

Answer:

168 feet

Step-by-step explanation:

area of trapezoid = length (a)+ breadth(b) / 2 height

Answer:

b.........................

Answer:

D.

Step-by-step explanation:

bahahahhaa

Hey karlieeeeeeeeeeeeee XD

The probability that at most 1 Democrat was chosen given that at most 1 of the committee members is a Republican is 0.13095.

The probability that at most 1 Democrat was chosen given that at most 1 of the committee members is a Republican can be found by using the formula for conditional probability, which is P(A|B) = P(A∩B)/P(B). In this case, A is the event that at most 1 Democrat was chosen and B is the event that at most 1 Republican was chosen.

First, we need to find P(A∩B), which is the probability that both events occur. This can be found by calculating the number of ways to choose at most 1 Democrat and at most 1 Republican, divided by the total number of ways to choose 5 people from 18.

The number of ways to choose at most 1 Democrat is 8C0 + 8C1 = 1 + 8 = 9. The number of ways to choose at most 1 Republican is 10C0 + 10C1 = 1 + 10 = 11. The total number of ways to choose 5 people from 18 is 18C5 = 8568.

Therefore, P(A∩B) = (9*11)/8568 = 99/8568.

Next, we need to find P(B), which is the probability that at most 1 Republican was chosen. This can be found by calculating the number of ways to choose at most 1 Republican and 4 or 5 Democrats, divided by the total number of ways to choose 5 people from 18.

The number of ways to choose at most 1 Republican and 4 or 5 Democrats is (10C0*8C5) + (10C1*8C4) = (1*56) + (10*70) = 56 + 700 = 756.

Therefore, P(B) = 756/8568.

Finally, we can use the formula for conditional probability to find P(A|B) = P(A∩B)/P(B) = (99/8568)/(756/8568) = 99/756 = 0.13095.

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Mr. Potatohead will be carried downstream by 10 × 43.5 = 435 meters approximately.

Given, Velocity of water (vw) = 10 m/s Velocity of Mr. Potatohead (vp) = 1.2 m/s

Distance between Mr. Potatohead and the waterfall (d) = 40 m Angle (θ) = 40

The velocity of Mr. Potatohead with respect to ground can be calculated by using the Pythagorean theorem.

Using this theorem we can find the horizontal and vertical components of the velocity of Mr. Potatohead with respect to ground.

vp = (vpx2 + vpy2)1/2 ......(1)

The horizontal and vertical components of the velocity of Mr. Potatohead with respect to ground are given as,

vpx = vp cos θ

vpy = vp sin θ

On substituting these values in equation (1),

vp = [vp2 cos2θ + vp2 sin2θ]1/2

vp = vp [cos2θ + sin2θ] 1/2

vp = vp

Therefore, the velocity of Mr. Potatohead with respect to the ground is 1.2 m/s.

Since Mr. Potatohead is swimming at an angle of 40°, the horizontal component of his velocity with respect to the ground is,

vpx = vp cos θ

vpx = 1.2 cos 40°

vpx = 0.92 m/s

As per the question, Mr. Potatohead is attempting to cross a river flowing at 10 m/s from a point 40 m away from a treacherous waterfall.

To find how far Mr. Potatohead is carried downstream, we can use the equation, d = vw t,

Where, d = distance carried downstream vw = velocity of water = 10 m/sand t is the time taken by Mr. Potatohead to cross the river.

The time taken by Mr. Potatohead to cross the river can be calculated as, t = d / vpx

Substituting the values of d and vpx in the above equation,

we get t = 40 / 0.92t

≈ 43.5 seconds

Therefore, Mr. Potatohead will be carried downstream by 10 × 43.5 = 435 meters approximately.

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Answer:

we are here, where have you been...???

Answer:

im at ur frien joe's house

Step-by-step explanation:

Answer:

It is A ig.

Step-by-step explanation:

Answer:

C^5d^5

Step-by-step explanation:

The equivalent expression is,

⇒ c⁵ × d⁵

We have to given that,

An expression is,

⇒ (cd)⁵

Since, A mathematical expression is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Now, Solve the expression by rule of exponent as,

⇒ (cd)⁵

⇒ c⁵ × d⁵

Therefore, The correct equivalent expression is,

⇒ c⁵ × d⁵

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Answer:

investment=£3000

Step-by-step explanation:

let ; principal amount (investment)=p ,

simple interest = p*t*r/100

£3300-p=p*1*10/100

(3300-p)100/10= p

33000-10p=p

33000=11p

33000/11 = p

£3000=p

The given set of premises can be used to obtain a conclusion using the rule of inference called Modus Tollens. Modus Tollens is a valid argument form that uses the premise of a conditional statement and its negation to reach a valid conclusion. The argument form is as follows:

If P then Q.
Not Q.
Therefore, not P.

Using Modus Tollens, we can write the argument as follows:

If I play hockey, then I am sore the next day.
I did not use the whirlpool.
Therefore, I did not play hockey.

The conclusion obtained from the given set of premises is that the person did not play hockey. This is because the person did not use the whirlpool, which is a condition that follows from being sore after playing hockey. If the person did not use the whirlpool, it means that they were not sore, which implies that they did not play hockey.

In summary, using the rule of inference called Modus Tollens, we can conclude that the person did not play hockey based on the given premises.

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Proportionately, if 8 cm represents​ 10%, the length of a line segment that is​ 100% is 80 cm.

Proportion is the ratio of two quantities equated to each other.

Proportion also represents the portion or part of a whole.

Proportions can be represented using decimals, fractions, or percentages, like ratios.

The percentage of 8 cm length = 10%

The whole length = 100%

Proportionately, 100% = 80 cm (8 ÷ 10%) or (8 x 100 ÷ 10)

Thus, we can conclude that 100% of the line segment will be 80 cm if 8 cm is 10%.

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If 8 cm represents​ 10%, what is the length of a line segment that is​ 100%? Explain.

Answer:The answer is very easy its..........

Step-by-step explanation:This is the step by step explanation ...............

Answer:

6h 45 min.

Step-by-step explanation:

\(\frac{4}{3} x=9\)

\(x=\frac{9}{\frac{4}{3} } =\frac{(9)(3)}{4} =\frac{27}{4} =6.75\)

= 6h 45m

Hope this helps.

Therefore, the solutions to the quadratic equation x² - 14x - 49 = 0 are x = 7 + 7√2 and x = 7 - 7√2.

A quadratic equation is a second-degree polynomial equation in a single variable. In other words, it is an equation of the form ax^2 + bx + c = 0, where x is the variable, and a, b, and c are constants. The goal of solving a quadratic equation is to find the values of x that make the equation true. There are several methods for solving quadratic equations, including factoring, completing the square, and using the quadratic formula.

In the given question,

To solve the quadratic equation x²- 14x - 49 = 0 , we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = 1, b = -14, and c = -49.

Plugging in these values, we get:

x = (-(-14) ± √((-14)² - 4(1)(-49))) / 2(1)

Simplifying this expression, we get:

x = (14 ± √(196 + 196)) / 2

x = (14 ± √392) / 2

x = (14 ± 14√2) / 2

x = 7 ± 7√2

Therefore, the solutions to the quadratic equation x² - 14x - 49 = 0 are x = 7 + 7√2 and x = 7 - 7√2.

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We can conclude that triangle 2 is congruent to triangle 1 because a translation is a rigid motion.

The sets that represent possible input and output of the function represented as ordered pairs is {(−1, −8), (0, −3), (3, 12)}.

A linear function can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the sets that represents the possible inputs and outputs of the function represented as ordered pairs are as follows:

Using y = 5x - 3

Let's test the ordered pair for option D.

{(−1, −8), (0, −3), (3, 12)}

(-1, -8)

y = 5(-1) - 3 = -5  - 3 = - 8

(0, −3)

y = 5(0) - 3 = 0 - 3 = - 3

(3, 12)

y = 5(3) - 3 = 15 - 3 = 12

Therefore, the right option is D.

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The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

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Answer:

Step-by-step explanation:

1200x5= it is 6000

Answer:

900=5x + 1200

Step-by-step explanation:

Answer:

y=30

x=3

Step-by-step explanation:

~may it help you~

Answer:

145

.8x = 116 (80% of class is 116)

x=145

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

13x-6=8x+19 +6  on both sides

13x=8x+25    -8 on both sides

5x=25       /5 on both sides

x=5

Answer:

519.90

Step-by-step explanation:

(64.94x2)+6(5x13) = 519.90

The inverse tangent of 0.9 is approximately 42.0 degrees.

Therefore, the correct answer is option C: 42.0⁰.

The inverse tangent, also known as arctangent, is a trigonometric function that gives the angle whose tangent is a given number. In this case, we want to find the inverse tangent of 0.9.

Using a calculator or reference table, we can find that the inverse tangent of 0.9 is approximately 42.0 degrees.

To understand why this is the case, we can consider the definition of the tangent function. The tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle in a right triangle. The inverse tangent function reverses this relationship, giving us the angle when we know the tangent value.

In the case of 0.9, we can imagine a right triangle where the length of the side opposite the angle is 0.9 and the length of the side adjacent to the angle is 1. The inverse tangent of 0.9 tells us the angle that satisfies this relationship.

So, the inverse tangent of 0.9 is approximately 42.0 degrees.

Therefore, the correct answer is option C: 42.0⁰.

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Answer:

A service business because it lists the products for online purchase

Step-by-step explanation:

Adele does not manufacture the clothes that she sells, but rather acquires and resells them electronically. Therefore, she provides a clothing sales service, forming part of the third sector of the economy. If, on the other hand, she manufactured the clothes, her business would be manufacturing and, therefore, she would be part of the second sector of the economy, as she would be carrying out a type of industry.

Answer:

a merchandising business because it resells clothes at retail prices

Step-by-step explanation:

This is a merchandising business because Adele buys clothes at one price and resells them at a higher retail price.

Answer:

Luis wrote an incorrect expression.

Step-by-step explanation:

As per Terrell, the correct expression is (2x+2x) + (5x+5x) + (1+1) which is equal to 12x + 2

For you who got incorrect answer, the answer if you simplified it must be 12x + 2. Let's check:

Anya     2x+2x+5x+1+5x+1 =

            12x + 2 [CORRECT]

Katrin    2(5x+1) + 2x

             10x+2+2x

             12x + 2 [CORRECT]

Luis       2(2x) + 2(5x+1)

             4x+10x+2

             14x + 2 [INCORRECT]

Steve     1+1+ x(2+2+5+5)

              2+ x(12)

             12x + 2 [CORRECT]

The likelihood of the spinner to land on a consonant rather than a vowel is C. Less likely.

The likelihood of the spinner landing on a consonant rather than a vowel can be found by the formula :

= Number of consonants / Number of outcomes on the spinner

= 4 / 9

= 0. 44

This likelihood is less than 50 % which is what would have made the likelihood equally likely. However, it is not much lower than 50 % so the likelihood would be less likely.

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Answer:

1/9 is a rational number because rational numbers are numbers that you can write as a fraction.

Answer: 1/3/3 is an inverse tetration 1/pi/(1/pi/pi) is approximately pi

Step-by-step explanation:

Stephen read about 9 pages more each week.

What is a linear equation in math?

If stephen reeds 278 pages in 7 week ,

To find number of pages read in 1 week, divide 278 by 7

                    = \(\frac{278}{7}\)  ⇒ 39.71

Another person reads 31 pages each week.

So stephen reads allmost 40  per week and alice 31.

Then, we need to find the difference between them

Difference = 40 - 31 = 9

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Answer:

3900 feet

Step-by-step explanation:

Steps to answer this question

1 yard = 3 foot

25 yards = 25 x 3 = 65 foot

total yards swam = 30 x 2 = 60

60 x 65 = 3900

Answer:

2

Step-by-step explanation:

Round the divisor to the nearest 10 or 100, depending on how many digits are in the divisor.

Round the dividend to the nearest 10, 100, or 1,000 so that all of the digits, except the first one are zeros.

Divide 600 by 30.

Compare your estimate to the exact answer to determine if the exact answer is reasonable.