55.563 to the nearest hundredths

wrong one -----/////

The sampling method used by the researchers from the Department of Education in order to obtain a sample representative of all students is stratified random sampling.

A stratified random sample is a probability sampling method that involves dividing the population into non-overlapping groups, known as strata. The strata are formed based on some variable of interest that is thought to be related to the study's research question, such as age, gender, or geographic location. Within each stratum, a random sample is then selected. By using a stratified random sampling technique.

This method also provides greater precision and reduces the sampling error by taking into account the variability within each stratum separately .The use of stratified random sampling has ensured that the sample taken by the researchers from the Department of Education is more representative of all students. They divided college students into the four classes (freshman, sophomore, junior, and senior) and then took a random sample of students from each class. Hence, the sampling method used by the researchers is stratified random sampling.

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The point estimate of the population mean, based on the given sample data, is 10.375.

To find the point estimate of the population mean, we calculate the mean of the sample data. The sample mean is found by summing up all the values in the sample and dividing it by the number of observations. In this case, the sum of the sample data is 10 + 8 + 12 + 15 + 13 + 11 + 6 + 5 = 80. Since there are 8 observations in the sample, we divide the sum by 8 to get the sample mean: 80/8 = 10. The sample mean of 10 indicates that, on average, the observed values in the sample tend to cluster around 10. Thus, 10.375 can be considered as the point estimate for the population mean based on the given sample data. It's important to note that this point estimate is only an approximation and may not be exactly equal to the true population mean. To make more accurate inferences about the population, a larger sample or additional statistical methods would be necessary.

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The Correct option is D .

System of linear equations,gives us the result that given system has unique solution such that 13x= 6 or x = 6/13 and y = -40/13 .

If a, b, and c are real numbers, the graph of the equation ax + by = c

is a straight line (unless both a and b are zero), so such an equation is called a linear equation in variables x and y. There are three possible types of solutions to a set of linear equations.

given system of equations is

2x - y = 4 --(1)

and 5x + 4y = -10 ---(2)

comparing the above equations with linear system , a1 x + b1 y = c1 and a2 x + b2y = c2

we get, a1 = 2 , a2= 5 , b1 = -1 , b2= 4 , c1= 4 ,

c2= -10

Now, the ratio are

a1/a2 = 2/5 ; b1/b2 = -1/4 ; c1/c2= -4/10 = 2/5

=> a1/a2 not equal to b1/ b2

therefore the given system of equations has unique solution.

Now , we find the soltion of given system using Elimination method,

multipling equation (1) by 4 to making same cofficient of y in both equations of system we get

8x - 4y = 16 --(3) and 5x +4y = -10

adding equation (2) from (3) we get,

8x -4y + 5x + 4y = 16 -10 => 13x = 6 => x = 6/13

putting this value of x in (1)

2×6/13 - y = 4 => y = 12/13-4 = -40/13

Hence , unique solution for given system of equations is x= 6/13 , y = -40/13.

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Complete Question:

Alfred tried to solve the system of equations shown below..

2x - y = 4 and 5x + 4y = -10

He concluded that the system has an infinite number of solutions. Which is the BEST evaluation of Alfred's conclusion?

He is correct. Both equations describe lines that have infinitely many solutions.

He is correct. If the first equation is multiplied by 4 and subtracted from the second equation, the result is -3x +8y = -14 , which means the system has an infinite number of solutions.

He is incorrect. For any positive value of , the corresponding value of is negative, which means the system has no solution.

He is incorrect. If the first equation is multiplied by 4 and added to the second equation, the result is 13x = 6 , which leads to exactly one solution.

Answer:

C) \(60^\circ+n360^\circ,120^\circ+n360^\circ\)

Step-by-step explanation:

\(sinx-\sqrt{3-3sin^2x}=0\)

\(sinx=\sqrt{3-3sin^2x} \)

\(sin^2x=3-3sin^2x\)

\(4sin^2x=3\)

\(sin^2x=\frac{3}{4} \)

\(sinx=\pm\sqrt{\frac{3}{4} } \)

\(sinx=\pm\frac{\sqrt{3}}{2} \)

\(x=\frac{\pi}{3}+2\pi n,\frac{2\pi}{3}+2\pi n \)

\(x=60^\circ+n360^\circ,120^\circ+n360^\circ\)

Therefore, the correct option is C

Check the picture below.

The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.

The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (3-6 Conditional Proof)

8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)

This leads us to the conclusion that N implies (O and P).

Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.

Proof:

1. N ⊃ O (Premise)

2. N ⊃ P (Premise)

3. N (Assumption)

4. O (1,3 Modus Ponens)

5. P (2,3 Modus Ponens)

6. O•P (4,5 Conjunction)

7. N ⊃ (O•P) (Conjunctive Simplification)

Therefore, we have derived the conclusion that N implies (O and P).

Complete Question:

Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.

1. N ⊃ O

2. N ⊃ P / N ⊃ (O • P)

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Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

With 90% confidence, the proportion of all caterpillars that lived to become a butterfly is between approximately 0.1199 and 0.1737.

p- hat = 53 / 361 ≈ 0.1468

SE = √((0.1468 * (1 - 0.1468)) / 361) ≈ 0.0169

Confidence Interval = 0.1468 ± 1.645 * 0.0169

Lower bound = 0.1468 - (1.645 * 0.0169)

Upper bound = 0.1468 + (1.645 * 0.0169)

Rounding the answers to 4 decimal places:

Lower bound ≈ 0.1199

Upper bound ≈ 0.1737

Therefore, with 90% confidence, the proportion of all caterpillars that lived to become a butterfly is between approximately 0.1199 and 0.1737.

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You are interested in constructing a 90% confidence interval for the proportion of all caterpillars that eventually become butterflies. Of the 361 randomly selected caterpillars observed, 53 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 90% confidence the proportion of all caterpillars that lived to become a butterfly is between ---- and  ---

Answer:  A rectangular prism with a height of two inches, length of seven inches, and a width of three inches.

Step-by-step explanation:

Multiply the dimensions given, then select the one that matches Jorge's required 42 in³

5×5×5 = 125

5×4×4 = 80

2×7×3 = 42

6×3×2 = 36

Answer:

A

Step-by-step explanation:

By setting up the equation and solving we get the positive number is 2/5.

A positive number is a number greater than zero. In mathematical terms, it is a number that is greater than zero on the number line. Positive numbers are often represented with a "+" sign in front of them, but this is not always necessary as the positive sign is the default and is usually omitted.

An equation is a mathematical statement that asserts the equality of two expressions. It is a statement that asserts that the two expressions on either side of the "=" sign are equal and have the same value. The expressions on either side of the "=" sign are called the left-hand side (LHS) and the right-hand side (RHS) of the equation.

For example:

2x + 3 = 7

x(2x+x/2)=x

2x^2+x^2/2=x

5x^2/2=x

5x^2=2x

5x=2

x=2/5

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Answer:

(-6, 13) (-5, 12) (-4, 11) (-3, 10) (-2, 9) (-1, 8) (0, 7) (1, 6) (2, 5) (3, 4) (4, 3) (5, 2) (6, 1) (7, 0)

Answer:

6 cm

Step-by-step explanation:

Given that:

A line that contains the points R, S and T.

Distance between R and S = \(2x\)

Distance between S and T = \(3x\)

To find:

The distance between S and T = ?

Solution:

The given situation and dimensions can be represented in the form of a diagram as shown in the attached diagram.

As per given statement and in the diagram, we can deduce that the sum of distance between R and S, S and T is equal to distance between R and T.

i.e. RS + ST = RT

\(2x + 3x = 10\\\Rightarrow 5x=10\\\Rightarrow x = 2\)

ST = 3\(x\) = 3 \(\times\) 2 = 6 cm

Therefore, the answer is:

Distance between S and T is 6 cm.

If the space between R and S is 2x, the space between S and T is 3x, and RT is 10 centimeters long, then ST is 6 centimeters

Point S lies between points R and T on Line segment RT

RT   =  RS   +  ST

The space between R and S is 2x

That is, RS  =  2x

The space between S and T is 3x

That is, ST  =  3x

RT is 10 centimeters long

RT  =  10cm

Substitute RT = 10, ST = 3x and RS = 2x into the equation RT = RS + ST

10  =  2x  +  3x

10   =  5x

x  =  10/5

x   =  2

If x = 2, then

ST  =  3x

ST = 3(2)

ST =  6 centimeters

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Answer:

  30%

Step-by-step explanation:

You want the percentage reduction each year that will result in a reduction of 51% over two years.

The growth factor is 1 added to the growth rate. If the desired growth rate over 2 years is -51%, then the growth factor for that period is ...

  1 -51% = 0.49

If the growth factor is the same for each of two years will be ...

  (1 +r)² = 0.49 . . . . . . . where r is the growth rate each year

Solving for r gives ...

  1 +r = √(0.49) = 0.7

  r = 0.7 -1 = -0.3 = -30%

The required growth rate each year is -30%.

The pollution must be reduced by 30% each year for 2 years.

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The mοde value fοr the table οf data given is οptiοn D. 10.

A mοde is described as the value in a grοup οf values that οccurs mοre frequently. The value that appears the mοst frequently is this οne.

The mοde is nοt necessarily unique tο a given discrete distributiοn, since the prοbability mass functiοn may take the same maximum value at several pοints x1, x2, etc. The mοst extreme case οccurs in unifοrm distributiοns, where all values οccur equally frequently.

The data is given fοr the average number οf days οf rain in each mοnth οf the year.

The mοde will the number οf days repeating itself mοre number οf times.

It can be seen that 10 is repeated 4 times amοng the data given.

Therefοre, the mοde value is 10.

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Answer: 10

Step-by-step explanation:

So since this is all about perimeter you just got to add the values together. So lets use 12 as the denominator for every fraction. 1/4 is equal to 3/12 and 2/3 is equal to 8/12. So in conclusion 3/12 plus 8/12 and 1/12 will equal 1 in total. and then add up all the whole numbers 4 + 2 + 3 + 1 will get you 10. So 10 is your answer.

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The value of the sides in the parallelogram will be 77°.

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

A quadrilateral with opposite sides that are parallel and equal is known as a parallelogram. The interior opposite angles of it are equal. Moreover, the angles on the same side of the transversal are complementary to one another or add up to 180 degrees.

Your answer should be in one variable equation by using the Y and W angle. They are equal if you match with the same angle size.

7x=6x+11

(7-6)x = 11

x = 11

We got the x value, so substitute into W angle :

7x

=7(11)

= 77

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Answer:

1/2

Step-by-step explanation:

Just take any two coordinates, and use this fornula

Y2 - y1

-----------

X2 - x1

Answer: 18.4050

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A(n) IQ test evaluates a child's performance in relation to other kids in terms of how well they can perform specific activities at a specific time.

Each individual IQ exam is made up of a number of smaller questions, and no reading nor writing are required. Some verbal subtests consist of spoken questions with no set time restriction. Other subtests are frequently timed and typically have a visual or spatial focus. It takes one to two hours to give the exam.

115 to 129: Superior or intelligent. 130 through 144: Fairly talented. From 145 through 159: Very talented. Exceptionally talented from 160 to 179.

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Answer:

no i don't think

Step-by-step explanation:

it is not be a right angle is 90 and when u add it it doesn't match

Answer:

some examples:

80, 30, 70

80, 10, 90

100, 70, 10

Step-by-step explanation:

angle measures must add to 180 degrees

The  t-value given the following: hypothesis test on population mean is -2.

T-value in statistics can be defined as the ratio of the difference between the mean of the two sample data and the variation in the sample data

It is given  by

\(\rm t = \dfrac{x- \mu}{\dfrac{s}{\sqrt{n}}}\)

Here in the question all the values are given

x= 33; μ = 35; s = 5; n = 25.

Substituting the values to determine t

\(\rm t = \dfrac{33- 35}{\dfrac{5}{\sqrt{25}}}\)

\(\rm t = \dfrac{-2}{\dfrac{5}{5}}\\\\\\t = -2\)

Therefore the t-value given the following: hypothesis test on population mean is -2.

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The range of the function f(x) = |x| is [0,∞)

The function is given as:

f(x) = |x|

The above is the parent equation of an absolute value function.

The above function cannot output any negative value.

This means that:

ƒ(x) >= 0

As an interval notation, we have:

[0,∞)

Hence, the range of the function f(x) = |x| is [0,∞)

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Answer:

Step-by-step explanation:

v = u + at

To solve for t move u to the left side of the equation

That's

at = v - u

Divide both sides by a in order to make t stand alone

We have

We have the final answer as

Hope this helps and

Answer:

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Answer:

\({\huge{\underbrace{\overbrace{\color{red}{Answer...}}}}} \\ \\ \)

\(\small\boxed{\mathfrak{\underline{Interior \: angles \: are \: not \: congruent}}} \\ \\ {\huge{\underbrace{\overbrace{\color{purple}{hope \: it \: helps... | \: | }}}}} \\ \\ \)

If two parallel lines are cut by non-perpendicular transversal, then the interior alternate angles are NOT  congruent.  

By the Property of the alternate angles states, if two parallel lines are cut by a transversal, then the alternate angles are congruent. Two angles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

The Exterior angle is an measure of rotation between one extended side

Let assume ∠XWY and ∠ZYW represent the interior angles between the parallel lines and the transversal.

From the figure attached, we can see that  ∠XWY ≅ ∠ZYW

By this property, Both the Lines are the parallel lines intersected by a transversal.

Therefore, the interior alternate angles ∠XWY and ∠ZYW will be congruent.

Hence, If two parallel lines are cut by non-perpendicular transversal, then the interior alternate angles are NOT  congruent.

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As per the Pythagoras theorem, the number of feet along the ground from the tent pole to the rope is 8 feet.

Here we have given that A 15-foot tall tent pole incurred to the ground using a piece of rope 17 feet long that goes from the top of the tent pole to the ground. If the tent pole make a 90-degree angle with the ground,

And we need to determine the number of feet along the ground from the tent pole to the rope.

AS per the given data, here we have consider that the pole makes 90° with the ground and is supported by a rope.

And for the clear observation, here we can realize that the pole, rope and ground form a right-angled triangle, where

The value of Hypotenuse (h) = length of rope = 17 feet

And the Side 1 (p) = length of tent pole = 15 feet

Then the Side 2 (b) = distance between pole and rope along the ground

Now, we have to applying the Pythagorean theorem, the following equation is obtained:

=> h² = p² + b²

Then we have to apply the values on it, then we get

=> 17² = 15² + b²

=> b² = 289 - 225

Therefore, the value of is calculated as,

=> b = √64

=> b = 8 feet

Therefore the distance between the tent pole and the rope along the ground is 8 feet.

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We want to find an equation for the given solutions and the multiplicity of each solution.

The equation is:

\(0 = (x - 2)*(x + 1)^2\)

First, assume that we have a given equation and we know that we have solutions {x₁, x₂, ..., xₙ}, each one with multiplicity {m₁, ..., mₙ}.

The equation, of a polynomial that meets these requirements, is given by:

\(0 = A*(x - x_1)^{m_1}*...*(x - x_n)^{m_n}\)

Where A is the leading coefficient and can be any real number.

Now that we know that, here we have the solutions:

We don't have information about the leading coefficient, so we assume it is equal to 1.

Then the equation is:

\(0 = (x - 2)*(x + 1)^2\)

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