A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 293 students using Method 1 produces a testing average of 82.9. A sample of 282 students using Method 2 produces a testing average of 76.5. Assume that the population standard deviation for Method 1 is 7.97, while the population standard deviation for Method 2 is 6.66. Determine the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places. g

Answer:

sorry, I forget how to do the other ones and I'm just as confused but for 4. AD is 20 and 5. GJ is 17

Step-by-step explanation:

4. side AD is equal to side CD so therefore its 20.

5. side are equal again so make

4x+5 = 2x+11

    -5         -5

4x = 2x+6

-2x  -2x

2x = 6

/3    /3

x = 3

2(3)+11

6+11

17

The answers to these partial divisions add up to 30 + 2 = 32, or 192/6. We can calculate the solution by dividing 32 by 100, or 0.32, to get 1.92/6.

The formula for computing 1.92 divided by 6 is 1.92 multiplied by 100, divided by 100, and then multiplied by 1.92. There are 18 tenths and 12 ones in 1.92*100 = 192, which is the result. Due to the fact that both 18 and 12 are multiples of 6, this representation is practical.

Then, we can divide 18 tenths by six to get three tenths (30), and we can divide 12 ones by six to get two ones (2). 30 + 2 = 32, or 192/6, is the result of adding the answers to these partial divisions. To get 1.92/6, divide 32 by 100, which is 0.32, and that gives us the answer.

The complete question is:

Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?​

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The answers to these partial divisions add up to 30 + 2 = 32, or 192/6. We can calculate the solution by dividing 32 by 100, or 0.32, to get 1.92/6.

The formula for computing 1.92 divided by 6 is 1.92 multiplied by 100, divided by 100, and then multiplied by 1.92. There are 18 tenths and 12 ones in 1.92*100 = 192, which is the result. Due to the fact that both 18 and 12 are multiples of 6, this representation is practical.

Then, we can divide 18 tenths by six to get three tenths (30), and we can divide 12 ones by six to get two ones (2). 30 + 2 = 32, or 192/6, is the result of adding the answers to these partial divisions. To get 1.92/6, divide 32 by 100, which is 0.32, and that gives us the answer.

The complete question is:

Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?​

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The example of an associative property is a+(b+c) = (a+b) + c for additional operation and a × (b × c) = (a × b) × c for the multiplication operation. The associative property is used to solve an equation or expression of real numbers.

What are the properties of real numbers?

In the number system, real numbers are only the fusion of rational and irrational numbers. These numbers can generally be used for all arithmetic operations and can also be expressed on a number line.

The four primary characteristics of real numbers are as follows:

Commutative property

Associative property

Distributive property

Identity property.

Associative property: The associative property is applicable on two arithmetic operations. They are multiplication and addition.

For multiplication operations: a × (b × c) = (a × b) × c

For additional operation: a+(b+c) = (a+b) +

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So on solving the provided question, here  we can say that by is a simultaneous equations the value of x = - 3/5 and y = 9/10

Multiple algebraic equations that have the same unknowna as the give in the  variables and the same answer are referred to as simultaneous equations. This suggests that there is a single solution to the simultaneous equations. Examples of simultaneous equations include: 2x - 4y = 4, 5x + 8y = 3, and others. This implies that the simultaneous equations have a single solution. The simultaneous equations 2x - 4y = 4, 5x + 8y = 3, and others are examples.

y = -x + 1.5

y = 1.5x + 2.5

x = -3/5

y = 9/10

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Answer:

Step-by-step explanation:

After spending $269.88, 4 times $10.57, and $17.76 of her $540 budget, you want to know how many (x) outfits Zendaya can buy at $65.65 each.

The total of Zendaya's spending must be no more than her budget amount:

  269.88 +4(10.57) +17.76 +65.65x ≤ 540

Simplifying the inequality gives ...

  329.92 +65.65x ≤ 540

  65.65x ≤ 210.08 . . . . . . . . . . subtract 329.92

  x ≤ 3.2 . . . . . . . . . . . . . divide by 65.65

Zendaya can purchase up to 3 outfits while staying within her budget.

The three equations for this problem are:

Let's call the number of chocolate cakes x, the number of fruit cakes y, and the number of sponge cakes z

so the

let's use the third equation to get the value of x,y and z:

If you get the values and substitute, then the answer would be:

4 chocolate cakes, 5 fruit cakes, 2 sponge cakes

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The correct option is option (d).

To solve this problem, we need to find the probability that two randomly selected packages are both more than 4.5 pounds. Since the distribution is normal, we can use the standard normal distribution table to find the probability.

The first step is to standardize the weight of the packages by subtracting the mean from the weight and dividing it by the standard deviation. The weight of 4.5 pounds is the mean, so the standardized weight is (4.5 - 4.5) / 1.8 = 0.

The probability that a package weighs more than 4.5 pounds is the same as the probability that a standardized package weighs more than 0. This probability is equal to 1 - P(Z < 0) , where Z is the standardized weight.

Using a standard normal distribution table, we find that P(Z < 0) = 0.5. Therefore, the probability that a package weighs more than 4.5 pounds is 1 - 0.5 = 0.5.

Since the two packages are independent, we can find the probability that both packages are more than 4.5 pounds by multiplying the probability of one package being more than 4.5 pounds by itself. So, the probability that two randomly selected packages are both more than 4.5 pounds is 0.5 * 0.5 = 0.25.

In conclusion, the probability that two randomly selected packages are both more than 4.5 pounds is 0.25

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Answer:

4

Step-by-step explanation:

3 - h(x + 4) -2y  Substitute in what was given.

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

3 + 5(-1) + 6

3-5+6

-2+6

4

Answer:

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

3+5(-1)+6

3-5+6

-2+6

4

We can fit 25 notebooks on the space.

Now, According to the question:

The width of the notebook is 2/5

The length of the space is 10 inches.

To find the number of the notebooks can put there divide 30 by 2/3

Number of the books : [tex]\frac{10}{\frac{2}{5} }[/tex] = 10 × [tex]\frac{5}{2}[/tex]

=> 50/2 = 25

The number of the notebook is 25

We can fit 25 notebooks on the space.

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By considering the reflection, the coordinates of the reflected square D'E'F'G' are:

D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)

A square is a two-dimensional geometric shape that has four equal sides and four right angles. It is a type of rectangle, but with all sides equal. The opposite sides of a square are parallel and of equal length. A square can be defined by its side length or by the coordinates of its vertices.

Reflection is a type of transformation in geometry in which a shape is flipped over a given line, called the line of reflection. The image that is created is a mirror image of the original shape. The line of reflection can be a horizontal line, a vertical line, or any line that is not parallel to the axes. Reflecting a shape over a line involves taking the coordinates of each point of the shape and applying a specific rule (such as multiplying or adding a constant) to the x or y coordinate, depending on the line of reflection. This rule is often simple and easy to apply, such as reflecting over x = 1. The reflected shape will be in the same plane as the original shape but with a different orientation or position.

When a square is reflected in the line x=1, each of the points on the square will have their x-coordinate replaced by 1 subtracted from their original x-coordinate.

The coordinates of the reflected square D'E'F'G' can be found by applying this rule to the original coordinates of square DEFG:

D(1,1) => D'(1-1,1) => D'(0,1)

E(1,6) => E'(1-1,6) => E'(0,6)

F(6,6) => F'(6-1,6) => F'(5,6)

G(6,1) => G'(6-1,1) => G'(5,1)

So the coordinates of the reflected square D'E'F'G' are:

D'(0,1) , E'(0,6), F'(5,6) and G'(5,1)

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The complement of the event: "drawing a red card" is the last option:

"Selecting a black card"

The complement of an event is the set of all the outcomes such that the original event is false.

For example, the complement of drawing a red card, would be "not drawing a red card"

We know that there are two types of coloes, black and red.

Then "drawing a black card" is equivalent to "not drawing a red card"

Thus, the complement is the last option:

"Selecting a black card"

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The required simplified solution of the given expression is 8√3.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
=  2 √ 3 + 2 √ 27

Since √27 = 3√3
= 2√3 + 2× 3√3
= √3 [2 + 6]
= √3[8]
= 8√3

Thus, the required simplified solution of the given expression is 8√3.

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The variable terms in the expression 3[tex]x^{3}[/tex]y + 5[tex]x^{2}[/tex] + y + 9 are [tex]x^{3}[/tex]y, [tex]x^{2}[/tex], and y.

The expression provided is

3[tex]x^{3}[/tex]y + 5[tex]x^{2}[/tex] + y + 9

In the expression, each variable is represented by a letter.

Let's look at the variables for each term.

The variable in the first term, 3[tex]x^{3}[/tex]y, is [tex]x^{3}[/tex]y.

The variable in the second term, 5[tex]x^{2}[/tex] , is [tex]x^{2}[/tex] .

Y is the variable in the third term.

There is no variable in term 9's final equation.

The variables in the expression are [tex]x^{3}[/tex]y, [tex]x^{2}[/tex] , and y.

As a result, the variables [tex]x^{3}[/tex] and y are the variable terms.

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Answer:

y(2-10)2(12+3x)...

Step-by-step explanation:

first make groups of the numbers

y2 with 10 y they both have y in common

so you can write it as y(2-10)

after 24 with 6x they both have 2in common (2×12=24)

so you can write it as 2(12+3x)

and you can do the rest with the same technique

Answer:

sorry beacuse I don't know anything

Answer:

Step-by-step explanation:

a.[tex]1.9[/tex]·[tex]10^{-8}[/tex]=190000·[tex]10^{-13}[/tex]

b.so 190000÷4.2=4523

c.finally, about 4523 times

There were 8 bhajis in the second bag if he have 2 bags of onion bhajis, one of which holds 42 bhajis.

What is an equation ?

In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. Equations are often written in the form of "expression = expression" or "expression - expression = 0"

Let's call the number of bhajis in the second bag "x".

We know that he total number of bhajis after emptying both bags onto the plate is 50.

So we can write an equation:

42 + x = 50

To solve for x, we can subtract 42 from both sides:

x = 50 - 42

x = 8

Therefore, there were 8 bhajis in the second bag.

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Answer:

Step-by-step explanation:

from the form we know, 10/2=15/3=45/9=5.so we need select the second choice, the number of group 50 dollar is 50/5=10

the anwser is second choice, fill 10 in blank.

if u like this, pls 5 stars. tku!

The money invested by Phyllis with simple interest rate 3 1/2% and 3% per year is given by $7500 , and $3,000 respectively.

As given in the question,

Total amount with Phyllis is equal to $10,500

Let 'x' be the portion of Phyllis earning invested with 3 1/2% per year simple interest rate

Then $( 10,500 - x ) invested by Phyllis with simple interest rate 3% per year

Total interest earned by the investment = $352.50

0.035x + 0.03( 10,500 - x ) = $352.50

⇒0.035x + 315 - 0.03x = 352.50

⇒0.005x = 352.50 - 315

⇒0.005x = 37.5

⇒x = $7500

and $( 10,500 - x ) = $( 10,500 - 7500 )

                              = $ 3,000

Therefore, the amount of invested with simple interest rate 3 1/2% per year and 3% is equal to $7500 and $3,000 respectively.

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The  total number of ways that 3 boys and 3 girls can line up so that no two of the three boys are next to each other is found to be as  144 .

It is given that there are four general arrangements of boys and girls,

Here, the boys can be arranged or rearranged (permuted) among themselves in a total of ,  3 × 2 × 1 = 6 different ways.

Similarly, the three girls can be rearranged among

themselves in 6 ways.

We are given that both the groups can arrange themselves independently .

Therefore,  the number of ways to create any one of the four basic arrangements is 6 × 6 = 36.

Therefore, the number of ways to arrange them is ,

4 × 36 = 144 .

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To create a frequency polygon calculate the midpoint,  locate the midpoints and connect them with lines.

A frequency polygon is a form of graph that shows how frequently a particular variable—in this case, the amount of time it takes for people to finish a puzzle—occurs.

So, we must determine the midpoint or average of the range for each category.

0 < t < 10 = 5

10 < t < 20 = 15

20 < t < 30 = 25

30 < t < 40 = 35

2. Add a point where the data of the axis Y and X form an intersection.

3. Connect the points.

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The sample space between A to C is A,B,C

The likelihood that a sample point will occur is quantified by its probability.

The likelihood of a sample point

According to tradition, statisticians have adopted the following guidelines.

Any sample point's probability can be between 0 and 1.

The probability of every sample point in a sample space added together is 1.

Let's say we run a straightforward statistical experiment. One coin is flipped. Heads or tails are the possible results of the coin flip. These results taken as a whole serve as our experiment's sample space. Each result stands in for a single sample point in the sample space. What is each sample point's probability?

Solution: the total of all sample points' probability

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Total profit earned = 25000000 dollars

Profit is a financial achievement which is the difference between the amount of money or resources people earned and the amount is spent in various purpose. In case of a business organization, the difference between production and cost is termed as profit. Let, someone invested money for operating business, he needs to spend money for workers, for the welfare of business and after all these he has amount that comes from business that is called profit.

Given, profit earned = $ 2.5 × 10⁴ in the 1×10³ days in a row

total profit earned during this time = $(2.5 × 10⁴ × 10³)

                                                         $2.5 × 10⁷

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The polygon presented will have nine sides. This suggests that a nonagon is the necessary polygon.

Divide the number of triangles in the polygon by 180° to determine the sum of its inner angles. Where is the number of sides, the formula for computing the sum of internal angles is (n 2) 180. In a regular polygon, all internal angles are equal.

The following are crucial polygon formulas: A polygon with "n" sides has a total interior angle sum of 180 degrees (n-2) A "n-sided" polygon has [n(n-3)]/2 diagonals. A regular n-sided polygon's internal angles are measured as [(n-2)180°]/n.

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The required simplified expression as a monomial is given as -12[z⁶].

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.

here,

Given an expression, the outcome of the multiplicative depression will be an expression of a monomial.
= [4z³][-3z³]
= 4 × 3 [-z ³⁺³]
= -12[z⁶]

Thus, the required simplified expression as a monomial is given as -12[z⁶].

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A probability distribution model is a guide you use to fit a random variable in order to generalize its behavior.

A probability distribution is a list of all of the possible outcomes of a random variable, along with its corresponding probability values.

A probability distribution links each outcome of a random variable or process with its probability of occurrence.

A probability distribution model is a guide you use to fit a random variable in order to generalize its behavior.

These models have a mathematical background, and can be very picky. For them to work properly, the random variable you are trying to fit in must meet different assumptions so that the outcomes of the model have the correct probabilities, and also so that you can test and validate the model against real data from the random variable.

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Answer:

X of M is 6, Y of M is 4, Pair is (6,4)

Step-by-step explanation:

M = 6

M = 4

M (6,4)

Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.

Using the equals symbol (=), a mathematical equation appears to be a formula that connects two statements and denotes equality. A scientific assertion that supports the equality of two mathematical abstraction is known as an equation in algebra. For instance, the equal sign is present between the variables ptdc + 6 and 12 in the output obd + 6 = 12. The link between the syllable on either side of either a letter is described by a mathematical formula. In many cases, the logo and the say — are identical.

Here,

Given: A new supply of 300 spark plugs will come on Thursday,

and 520 spark plugs require 48 plugs per day.

To determine an equation to determine however many plugs will just be left at the end of Friday:

So,

where n is the no of days

=> 520 - 48*n + 300

=> 520 - 48*5 + 300

=> 520 - 240 + 300

=> 520 + 60

=> 580

Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.

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