a sample of 179 students using method 1 produces a testing average of 55.9 . a sample of 176 students using method 2 produces a testing average of 89.8 . assume the standard deviation is known to be 8.92 for method 1 and 16 for method 2. determine the 95% confidence

Answer:

60°

Step-by-step explanation:

We know that a straight line would be 180 °.

we can see that  the line is split into 3 equal sides .

180° ÷ 3 = 60°

Answer:

56 feet

Step-by-step explanation:

P = 2(1 + w)

P = 2(20 + 8)

P = 2(28)

2x28 = 56 feet

so the answer is 56 feet.

Answer:

P = 2l + 2w (2 times the length plus 2 times the width)

P = 2(40) + 2(20)

P = 80 + 40

P = 120 ft

You can also add the four sides together. (20 + 20 + 40 + 40

Step-by-step explanation:Since fencing the garden is the measure of perimeter of the garden and length and width of the rectangle are given, we find the perimeter of rectangle which is 2*width +2*length=2*20+2*40=40+80=120 feet of fence are needed.

Answer:

  PEMDAS or BIDMAS

Step-by-step explanation:

You want to know how to remember the order of operations.

Commonly used acronyms for the Order of Operations are ...

  PEMDAS

  BIDMAS

The letters of these stand for ...

  P, B — parentheses or brackets

  E, I — exponents or indices

  M, D — multiplication and division

  A, S — addition and subtraction

Expressions enclosed in grouping symbols (parentheses or brackets) have the highest precedence. They are evaluated first, according to the order of operations.

Exponents (indices) are evaluated next. A sequence of exponent operations, such as a^b^c is evaluated right to left, as a^(b^c), unless parentheses modify the order.

Because exponents and indices have a higher precedence than other arithmetic operations, something like 2^3x is evaluated as (2^3)x, not 2^(3x), and √2p is (√2)p, not √(2p). It is fairly common to see a square root erroneously written as 3^1/2 = (3^1)/2 = 3/2 when 3^(1/2) = √3 is intended.

Multiplication and division have the same precedence. Even though M precedes D (or D precedes M, depending on which acronym you use), they are evaluated in order of appearance left to right. As with exponents, a common error is forgetting to put parentheses around numerators and denominators. For example, 3/2π is different from 3/(2π).

Similarly, addition and subtraction have the same precedence and are evaluated in order of appearance, left to right.

The composition (ring) operator (∘) is used to signify a sequence of functional or transformation operations. For example (f∘g)(x) is the composition of functions f and g. The functions or transformations in a composition are evaluated right to left:

  (f∘g)(x) = f(g(x))

Operations performed on functions can be written in confusing ways. For example, ...

  [tex]y = f^{-1}(x)\qquad\text{means }x=f(y),\text{ not }y=\dfrac{1}{f(x)}[/tex]

The notation using a positive exponent stands in contrast:

  [tex]\sin^4(x)\qquad\text{usually means }(\sin(x))^4,\text{ not }\sin(\sin(\sin(\sin(x))))[/tex]

On the other hand, an exponent applied to a function name can mean recursive application of the function, as in sin²( ) = sin(sin(...)). It can also mean an n-th derivative. Context is important in such situations.

The transformation rule is to: rotate triangle ABC by 90 degrees around the origin

As we are given the coordinates of Triangle ABC as:

Coordinate of point A = (1, 1)

Coordinate of point B = (3, 1)

Coordinate of point C = (1, 4)

The coordinates of the transformed image A'B'C' are:

A' (-1, 1) ,

B'(-1, 3)

C' (-4, 1)

The transformation rule would be to rotate triangle ABC by 90 degrees around the origin

The rule for this transformation is:  (x,y) => (-y ,x)

A(1,1) => A' (-1,1) ,

B(3,1) => B'(-1 , 3)

C(1,4)  => C' (-4,1)

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The angle marked x is 28°

The fοrmula fοr a simple straight line is Y = mX + b, where Y is the respοnse (dependent) variable, X is the predictοr (independent) variable, m is the estimated slοpe, and b is the estimated intercept.

We have,

A, B & C lie in a straight line.

D, B & E lie οn a different straight line.

∠CBE = 62°.

x =?

Because < ABD and <CBE are οppοsite vertex angle

<ABD = <CBE

And because ∠CBE = 62°

∠ABD = 62°.

1 x = 90°- 62°

= 28

Hence, the angle marked x is 28°

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Our assumption that two consecutive elements of the Fibonacci sequence can be divisible by 13 is false, and the proposition is proved.

We begin with the fact that the Fibonacci sequence is an increasing sequence; that is, each element is greater than the one before it.

The sequence is defined as follows:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040, 1346269, 2178309, 3524578, 5702887, 9227465, 14930352, 24157817, 39088169, 63245986, 102334155, 165580141, 267914296, 433494437, 701408733, 1134903170, 1836311903, and so on.

Now, let us prove the proposition by contradiction. Assume that there are two consecutive elements of the Fibonacci sequence that are divisible by 13. Then there must be some integer n such that:

F(n) = 13m, andF(n + 1) = 13p,

where m and p are integers.

Since the Fibonacci sequence is defined recursively by F(n) = F(n-1) + F(n-2), we can obtain an expression for F(n-2) in terms of F(n) and F(n-1):

F(n-2) = F(n) - F(n-1)Since F(n) and F(n-1) are both divisible by 13, their difference must also be divisible by 13.

Therefore, F(n-2) is divisible by 13 as well. However, this contradicts the well-ordering principle, which states that every non-empty set of positive integers has a least element.

Since the Fibonacci sequence is an increasing sequence, there must be some least element k such that F(k) is divisible by 13 but F(k-1) is not. But this means that F(k-2) cannot be divisible by 13, which contradicts our assumption that both F(n) and F(n-1) are divisible by 13.

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The statement is valid in light of the fact that the stretch can oblige three head developments every moment.

The probability of an event occurring is referred to as probability. We frequently have to make predictions about the future in real life. We may or may not be aware of the outcome of an event.

At the point when this happens, we broadcast that there is plausible that the occasion will happen. In conclusion, probability can be put to great use in business as well as in this rapidly expanding field of artificial intelligence.

By simply dividing the total number of outcomes by the favorable number of possibilities, the probability of an event can be calculated using the probability formula.

As a result, the claim is true because the time allows for three head movements per minute.

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.

[tex]10.4[/tex] cookies were divided here between small tray as well as a large tray.

A cookie is indeed a piece of information from a webpage that is saved in a browser for subsequent retrieval by the website. Cookie are used to let a server know whether visitors have visited a specific website again.

You will have the greatest user experiences . for example if you provide enough, whereas denying cookies may make it harder for you to use the website. Consider purchasing online. When you browse further, cookies allow the website to maintain track of all the products you've added to your cart.

[tex]2s + 3l = 64[/tex] (equation 1)

[tex]6s + 4l = 122[/tex] (equation 2)

From equation [tex]1[/tex], we can solve for [tex]s[/tex] in terms of [tex]l[/tex]:

[tex]2s + 3l = 64[/tex]

[tex]2s = 64 - 3l[/tex]

[tex]s = (64 - 3l)/2[/tex]

We can then substitute this expression for [tex]s[/tex] into equation [tex]2[/tex]:

[tex]6s + 4l = 122[/tex]

[tex]6((64 - 3l)/2) + 4l = 122[/tex]

Simplifying:

[tex]192 - 9l + 4l = 244[/tex]

[tex]-5l = -52[/tex]

[tex]l = 10.4[/tex]

Now that we know that a large tray contains [tex]10.4[/tex] cookies, we can substitute this value back into equation [tex]1[/tex] to solve for [tex]s[/tex]:

[tex]2s + 3l = 64[/tex]

[tex]2s + 3(10.4) = 64[/tex]

[tex]2s = 20.8[/tex]

[tex]s = 10.4[/tex]

Therefore, a small tray contains [tex]10.4[/tex] cookies, and a large tray contains [tex]10.4[/tex] cookies.

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Answer:

in image

Step-by-step explanation:

if it helped you please mark me a brainliest :))

The Jumble is an MP3 player owned by Greg. The Jumble chooses music for the user to hear at random. Greg's Jumble features nine rap tracks, seven rock songs, and six classical songs.  The probability of not selecting a rap song is 0.59.

The total number of songs on the Jumble is 6 + 7 + 9 = 22.

To find the probability of not selecting a rap song, we need to find the number of songs that are not rap songs, which is the sum of the number of classical and rock songs on the Jumble:

6 + 7 = 13

Therefore, the probability of not selecting a rap song is:

13/22

To round this to two decimal places, we can divide 13 by 22 using a calculator or long division to get:

0.59

Therefore, the probability of not selecting a rap song is 0.59 or 59%.

The complete question is:-

Greg has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Greg's Jumble has 6 classical songs, 7 rock songs, and 9 rap songs on it. What is P(not a rap song) If necessary, round your answer to 2 decimal places.

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Answer:

the area is 40

Step-by-step explanation:

Step-by-step explanation:

A dilation is a transformation that enlarges or reduces an object by a certain scale factor, and it is centered at a fixed point. In this case, we want to dilate the point (-3, 0) by a scale factor of 2, and the center of dilation is at the origin (0, 0).

To perform the dilation, we first need to find the distance between the point (-3, 0) and the center of dilation (0, 0), which is simply the magnitude of the vector (-3, 0), or 3.

Next, we need to multiply this distance by the scale factor of 2 to get the new distance after dilation, which is 6.

Finally, we need to find the point that is 6 units away from the origin along the same line that passes through the origin and the original point (-3, 0). This can be done by multiplying the direction vector of this line by the distance of 6 and adding the result to the center of dilation (0, 0). The direction vector is (-3, 0), normalized to have unit length, which is (-1, 0).

So the image of (-3, 0) after dilation by a scale factor of 2 centered at the origin is:

(-1 * 6, 0 * 6) + (0, 0) = (-6, 0)

Therefore, the image point is (-6, 0).

It is not mathematically accurate to say that 2+2=4+4=8.

In arithmetic, 2+2 equals 4 and 4+4 equals 8, so each equation is evaluated separately. The sum of 2+2 and 4+4 is indeed 8, but they are not equal to each other.

Perhaps you meant it as a playful or creative statement, but from a mathematical standpoint, it is not accurate.

What is an arithmetic equation?

An arithmetic equation is a mathematical statement that uses arithmetic operations to relate two or more quantities. It typically involves addition, subtraction, multiplication, and division of numbers.

Arithmetic equations can take many forms, but they generally follow the pattern of a mathematical expression or formula that uses variables or numerical constants to represent quantities. The goal of solving an arithmetic equation is to determine the value of the variable that makes the equation true.

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Complete question is: It is not mathematically accurate to say that 2+2=4+4=8.

Answer:

i think the right answer is 9/21

Step-by-step explanation:

hope it will help you!!

The object would weight 42 pounds on Earth.

In physics, weight is a measure of the force exerted on an object due to gravity. It is a vector quantity, which means that it has both magnitude (numerical value) and direction.

Let's denote the weight of the object on Earth as W and set up a proportion:

Weight on Earth / Weight on Moon = Gravitational force on Earth / Gravitational force on Moon

Using the given information, we can substitute the weights and simplify:

W / 7 = 180 / 30

W / 7 = 6

Multiplying both sides by 7, we get:

W = 7 ×6 = 42

Therefore, the object would weigh 42 pounds on Earth.

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Triangular prism formulas

volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length.

area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.

The greatest number of gift bags Ms. Bryant can make with 72 pencils and 54 pens is 18, with 4 pencils and 3 pens in each bag.

To find the greatest number of gift bags that Ms. Bryant can make, we need to find the greatest common factor (GCF) of the numbers of pencils and pens she has.

We can start by listing the factors of each number:

Factors of 72: [tex]1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72[/tex]

Factors of 54: [tex]1, 2, 3, 6, 9, 18, 27, 54[/tex]

To find the GCF, we look for the largest factor that is common to both lists. In this case, the largest common factor is 18.

This means that Ms. Bryant can make 18 gift bags, each containing 4 pencils and 3 pens, with no pencils or pens left over.

Therefore, the greatest number of gift bags Ms. Bryant can make with the given number of pencils and pens is 18.

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Answer:

.50 chance that she gets a chocolate chip cookie or 50 percent.

Step-by-step explanation:

half of all the cookies in the jar are chocolate chip cookies. 12/24 meaning that there is a 50/50 chance that she'll get a chocolate chip cookie

.50

Answer:

239 miles in 0.75 of an hour

Step-by-step explanation:

After answering the provided question, we can conclude that Therefore, the coordinates of M' are (11, -8).

In mathematics, a coordinate is a number or combination of integers that indicates the location of a point or object in space. Coordinates are frequently used to define a point or object's position in a specific coordinate system, such as the Rectilinear or polar coordinate systems. In the Cartesian coordinate system, a point is located by its distance from the origin along the x-axis and its distance first from origin along the y-axis. These distances are represented by two digits, the x-coordinate and indeed the y-coordinate. The point's position in the plane is specified by the two coordinates.

(x', y') = (x, y) - (a, b)

a) To find the coordinates of K', we need to use the above formula with (a, b) = (-6, 2) and (x, y) = (3, 4) (the coordinates of K in the original figure)

(x', y') = (x, y) - (a, b)

= (3, 4) - (-6, 2)

= (3 + 6, 4 - 2)

= (9, 2)

Therefore, the coordinates of K' are (9, 2).

(x', y') = (x, y) - (a, b)

= (5, -6) - (-6, 2)

= (5 + 6, -6 - 2)

= (11, -8)

Therefore, the coordinates of M' are (11, -8).

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Answer: 22.3

Step-by-step explanation:

Answer:

The circumference of a circle is calculated using the formula `C = 2πr`, where `r` is the radius of the circle. Since you have given the radius as 4 and asked to use 3.14 for π, we can calculate the circumference as `C = 2 x 3.14 x 4 = 25.12`.

The area of a circle is calculated using the formula `A = πr^2`, where `r` is the radius of the circle. Using the same values for π and r as before, we can calculate the area as `A = 3.14 x (4)^2 = 50.24`.

So, for a circle with a diameter of 8 and a radius of 4 (using 3.14 for π), its circumference is approximately **25.12** and its area is approximately **50.24**.

Answer:

Step-by-step explanation:So that is a right angle,which means the sum is 90 degrees.so you subtract 90 from 62 then you have your answer.

Answer:

x = 28°

Step-by-step explanation:

It is given that the full angle measurement is a right angle (90°), denoted by the blue(?) box.

Set the equation:

Total angle measurement (90) = x + 62

I~

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 62 from both sides of the equation:

90 (-62) = x + 62 (-62)

x = 90 - 62

x = 28

x = 28° is your answer.

~

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To calculate the mean, we first need to find the midpoint of each class interval. We can do this by adding the lower and upper limits of each interval and dividing by 2. We can then multiply each midpoint by its corresponding frequency and add up the products. Finally, we divide by the total frequency to get the mean:

Class interval   Midpoint    Frequency   Midpoint x Frequency

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

1-5                3          2             6

6-10               8          5            40

11-15              13          8           104

16-20              18         10           180

21-25              23         14           322

26-36              31          6           186

21-35              28          4           112

36-40              38          1            38

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

Total frequency:   50

Mean = (6 + 40 + 104 + 180 + 322 + 186 + 112 + 38) / 50 = 921 / 50 = 18.42

Class interval   Midpoint   Mean   Midpoint - Mean   (Midpoint - Mean)^2   Frequency   (Midpoint - Mean)^2 x Frequency

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

1-5                3       18.42     -15.42            238.1764           2              476.3528

6-10               8       18.42     -10.42            108.5764           5              542.8820

11-15              13       18.42      -5.42             29.3764           8              235.0112

16-20              18       18.42      -0.42              0.1764          10                1.7640

21-25              23       18.42       4.58             20.9764          14              293.6704

26-36              31       18.42      12.58            158.4964           6              950.9784

21-35              28       18.42       9.58             91.9364           4              367.7456

36-40              38       18.42      19.58            383.4464           1              383.4464

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

Total frequency:   50                                                                                   3251.8512

To calculate the standard deviation, we first need to find the variance, which is the sum of the squared deviations divided by the total frequency:

Variance = (476.3528 + 542.8820 + 235.0112 + 1.7640 + 293.6704 + 950.9784 + 367.7456 + 383.4464) / 50

= 65.0378

Then, we take the square root of the variance to get the standard deviation:

Standard deviation = sqrt(65.0378) = 8.06

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The volume and the surface area of the prism is 6 and 22 square inches²

First, lets find the volume of the prism

Volume:

[tex]\text{Volume}=\text{(Area of the base)}\times\text{height}[/tex]

[tex]\text{Volume}=(3\times2)\times1[/tex]

[tex]\text{Volume}=6 \ \text{square inches}^2[/tex]

Since the volume of the prism is 6, now to find the Surface area of the cubes.

[tex]\text{Surface area}= \text{Total area of the 2-dimensional surfaces to make 3-dimensional }[/tex]

[tex]\text{Surface area}=2\times3=6, \ 3\times1=3, \text{and} \ 1\times2=2[/tex].

[tex]\text{Surface area}=6(2)+3(2)+2(2)=22 \ \text{square inches}^2[/tex]

The surface area of the prism is 22.

Therefore, the volume and the surface area of the prism is 6 and 22 square inches²

Answer: Well look at it closely so it will help you understand more of it.

Step-by-step explanation: I read it over and over and over again and I think this will help.

If below assumptions are not met, then the validity of the confidence interval may be compromised, and alternative methods may need to be used to estimate the mean increase in blood pressure.

In statistics, sampling is the process of selecting a subset of individuals or objects from a larger population for the purpose of studying or estimating certain characteristics of the population. The subset of individuals or objects is known as a sample.

Sampling is often used when it is impractical or impossible to collect data on the entire population. By studying a representative sample, statisticians can make inferences about the population as a whole with a certain level of confidence.

In order for a 95% confidence interval for the mean increase in blood pressure to be valid, the following assumptions must be made:

If these assumptions are not met, then the validity of the confidence interval may be compromised, and alternative methods may need to be used to estimate the mean increase in blood pressure.

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the answer is

=3x+yx3+zx

=3x + 3y+3z

Answer:

Step-by-step explanation:

if an equation needs only one step to isolate the variable, it is 1-step. For example, 4x=16, which means x=4. Generally I’m not sure of a way other than that to know if an equation is one step or multi-step.

-4(x+5)-2=6x

So, use distributive property.

-4x-20-2=6x

Add 4x to both sides.

-20-2=10x

Solve -20-2.

-22=10x

Divide 10 from both sides.

x=-10/22

Simplify

x=-5/11