Find 154+(−413). Write your answer as a fraction in simplest form.

The correct answer is: A) The standard error decreases and the confidence interval narrows.

As the sample size increases, the standard error of the sample mean decreases. The standard error measures the variability or spread of the sample means around the true population mean. With a larger sample size, there is more information available, which leads to a more precise estimate of the true population mean. Consequently, the standard error decreases.

Moreover, with a larger sample size, the confidence interval for the true mean becomes narrower. The confidence interval represents the range within which we are confident that the true population mean lies. A larger sample size provides more reliable and precise estimates, reducing the uncertainty associated with the estimate of the population mean. Consequently, the confidence interval becomes narrower.

Therefore, statement A is the most accurate description of the change in the standard error of the sample mean and the size of the confidence interval for the true mean as the sample size increases.

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2(1/2)/0.25=x and 10 is the quotient for the real-world problem in part.

Division is splitting a group into equal parts and it is one of the four basic math operations.

The real-world problem for the division is

2(1/2)÷)0.25=x

Wth 2.5 L of water. you can drink 0.25L litres in one mouthful.How many mouthfuls do you need to drink.

the quotient for the real-world problem in part is

2.5/0.25

=10

10 is the quotient for the real-world problem in part.

Therefore 10 is the quotient for the real-world problem in part.

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To evaluate the integral of g(x) using the Fundamental Theorem of Calculus, we need to find its antiderivative F(x) and then apply the definite integral.

Let's find the antiderivative F(x) of g(x) step by step:

∫(ln(t) - √2) dx

Using the linearity property of integration, we can split this into two separate integrals:

∫ln(t) dx - ∫√2 dx

Now, let's evaluate each integral separately:

∫ln(t) dx

Using the integral of ln(x), which is x * ln(x) - x, we have:

= t * ln(t) - t + C1

Next, let's evaluate the second integral:

∫√2 dx

The integral of a constant is simply the constant multiplied by x:

= √2 * x + C2

Now, we can combine the results:

F(x) = t * ln(t) - t + √2 * x + C

Finally, to find the value of the integral i 19(x), we can substitute the limits of integration into the antiderivative:

i 19(x) = F(19) - F(x)

= (19 * ln(19) - 19 + √2 * 19 + C) - (x * ln(x) - x + √2 * x + C)

= 19 * ln(19) - 19 + √2 * 19 - x * ln(x) + x - √2 * x

So, i 19(x) = 19 * ln(19) - 19 + √2 * 19 - x * ln(x) + x - √2 * x.

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Answer:

g(x) = 12*x^2 + 8

Step-by-step explanation:

For a function f(x), a vertical stretch of scale factor k is defined as:

g(x) = k*f(x)

In this case, we know that f(x) = 3*x^2 + 2

And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4

and:

g(x) = 4*f(x)

Replacing by the actual function, we get

g(x) = 4*(3*x^2 + 2)

g(x) = 4*3*x^2 + 4*2

g(x) = 12*x^2 + 8

Yes, the researcher use the rows or the columns of the field as blocks.

When conducting research, it is important to think about which structure to use as the basis for your work.

In particular, when dealing with a matrix, the question arises of whether the researcher should use the rows or columns as blocks.

Both have their own advantages and drawbacks, which should be taken into consideration before making a decision.

However, it can be challenging to discover similarities between data points within the same row.

Additionally, the matrix structure can become distorted, as the data points no longer form a neat square or rectangle.

Ultimately, which approach the researcher should take depends on the type of research being conducted and the goals of the project.

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Answer:

Step-by-step explanation:

2.7s = -13.5

27s = -135

s = -5

Answer:

\(s=-5\)

Step-by-step explanation:

\(-13.5=2.7s\)

Switch sides:

\(2.7s=-13.5\)

Multiply both sides by 10:

\(2.7s\times 10=-13.5\times 10\)

\(27s=-135\)

Divide both sides by 27:

\(\frac{27s}{27}=\frac{-135}{27}\)

\(s=-5\)

Answer:

(2,−6)+(9,9)

(12,−5)⋅(5,6)

(4,4)⋅(4,4)

Step-by-step explanation:

Try one of these answers

Answer:

Let's simplify step-by-step.

2x(3−1)+3

=4x+3

Step-by-step explanation:

2x[3-1]=6x-2x=4x

4x+3

Answer:

B

Step-by-step explanation:

im bad at explaining this :(

The probability of getting an ace from a well-shuffled deck of 52 playing cards can be calculated as the ratio of the number of favorable outcomes (getting an ace) to the total number of possible outcomes (total number of cards in the deck).

In a standard deck of 52 playing cards, there are 4 aces (one ace for each suit). Therefore, the number of favorable outcomes is 4.

The total number of possible outcomes is 52 (as there are 52 cards in the deck).

So, the probability of getting an ace is given by:

\(\[ P(\text{Ace}) = \frac{\text{Number of Aces}}{\text{Total number of cards}} = \frac{4}{52} = \frac{1}{13} \]\)

Therefore, the value of \(\( m \)\) is 13.

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Answer:

Step-by-step explanation:

Newberry Library has 3656 more books

To prove that two angles in two triangles are congruent, you must use the Angle-Angle Postulate (AA).  The Angle-Angle Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are congruent.

Therefore, to prove that two angles in two triangles are congruent, you must first show that the two angles have the same measure. This can be done by using the Angle Addition Postulate or by using subtracting the measure of one angle from the measure of the other.

Three vertices and three sides make up a triangle, which is a polygon. The triangle's angles are created when the three sides are joined end to end at a point. The three angles of the triangle sum up to 180 degrees.

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Answer:

Line A slope = -1

Line B Slope =0.5

Double? That wouldn't be correct but your teacher may be not smart.

The equation for line A: y=-x-2

Values from Line B: (In the picture below)

Find the slope for y= -x-2

\(y=-x-2,\)

\(y+x= -2\)

\(m= -1\)

The slope for y= -x-2 is m= -1

I promise I will finish this once im done with my dinner :)

Answer:

x = 15

Step-by-step explanation:

the two angles are diagonal so both r the same, so 2x + 18 must be 48.

I forgot the term though so I cant say the exact definition of this type of angle.

25 5-ounce-glasses of milk can be poured out from a gallon of milk and 3/5 ounces of milk will be left over

Assuming

1 gallon 4 quarts

1 quart 2 pints

1 pint 2 cups

1 cup = 8 fluid ounces

if 1 quart 2 pints, then 4 quarts will be

= 4 * 2 = 8 pints

if 1 pint 2 cups, then 8 pints will be

= 8 * 2 = 16 cups

if 1 cup is 8 fluid ounces, then 16 pints will be

= 8 * 16 = 128 fluid ounces

solving the amount of 5 ounce glasses of milk in a ballon

= 128 / 5

= 25.6

= 25 3/5

Hence we can say that a gallon of milk will give 25 5-ounce-glasses of milk and 3/5 ounces of milk left over

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Answer:1 gallon 4 quarts

1 quart 2 pints

1 pint 2 cups

1 cup = 8 fluid ounces

if 1 quart 2 pints, then 4 quarts will be

= 4 * 2 = 8 pints

if 1 pint 2 cups, then 8 pints will be

= 8 * 2 = 16 cups

if 1 cup is 8 fluid ounces, then 16 pints will be

= 8 * 16 = 128 fluid ounces

solving the amount of 5 ounce glasses of milk in a ballon

= 128 / 5

= 25.6

= 25 3/5

Hence we can say that a gallon of milk will give 25 5-ounce-glasses of milk and 3/5 ounces of milk left over

Step-by-step explanation:

Answer:

Answer C

Step-by-step explanation:

seeing as how the x coordinates of the points are 2,3,4,6,7, we know that the answer must have these numbers, and only these numbers, as the domain. The only answer that has that is answer C.

The area of the shaded portion is (16π - 32) in².

The radius of a circle is the distance from the center of a circle to any point on the circle. If you place two radii end-to-end in a circle, you would have the same length as one diameter.

In the picture attached, the circle is shown.

The area of one-quarter of the circle is given by;

\(\rm = \dfrac{1}{4}\times Area\ of \ a \ circle \\\\= \dfrac{1}{4}\times \pi \times radius^2\\\\ = \dfrac{1}{4}\times \pi \times 8^2\\\\= 16\pi \ in^2\)

The area of the triangle is given by;

\(\rm = \dfrac{1}{2} \times base\times height \\\\= \dfrac{1}{2} \times 8\times 8 = 32 \ in^2\)

The area of the shaded portion is;

Shaded area = Area of one-quarter of the circle - Area of the triangle = (16π - 32) in²

Hence, the area of the shaded portion is (16π - 32) in².

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Answer:

9.1 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions.

We want to find x, which is opposite the angle and we know the hypotenuse.

We can use sin theta, which is the opposite side over hypotenuse.

sin theta = opp /hyp

sin 49 = x/12

12 sin 49 =x

9.05651=x

To 1 decimal place

9.1 =x

Answer:

12

Step-by-step explanation:

= 6:3(3+3)

= 6/3 x 6

= 12

Answer:

\(Volume = 288in^3\)

Step-by-step explanation:

Given

\(Base\ Cubes = 36\)

\(Layers = 8\)

Required

The volume of the prism

The number of base cubes represents the base area and the number of layers represents the height of the prism.

So, the volume is calculated as:

\(Volume = Base\ Cubes * Layers\) i.e Base Area * Heights

\(Volume = 36 * 8\)

\(Volume = 36in^2 * 8in\)

\(Volume = 288in^3\)

Answer:

Whole numbers are ALWAYS integers.

If you want to round a number within an arithmetic expression, you should use the ROUND function.

The ROUND function allows you to specify the number of decimal places to which you want to round a given number. It is commonly used in programming languages and spreadsheet software.

The syntax for the ROUND function typically involves specifying the number or expression you want to round and the number of decimal places to round to. For example, if you want to round a number, let's say 3.14159, to two decimal places, you would use the ROUND function like this: ROUND(3.14159, 2), which would result in 3.14.

Using the ROUND function ensures that the rounded number is calculated within the arithmetic expression, providing the desired level of precision in the calculation.

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Answer: x =3

Step-by-step explanation:

-7+4x=5

4x = 12

x =3

Answer:x=3 good luck You got this one

Step-by-step explanation:

-7+4x=5

Move the constant to the right-hand side and change its sign

4x=5+7

Add the numbers

4x=12

Divide both sides of the equation by 4

x=3

Answer:y=2x+15

Step-by-step explanation:

your welcome

Answer:

y=2x-15

Step-by-step explanation:

his profit would be $2 times the amount of cups he sold minus the cost of supplies, which is $15

Answer:

16/20

Step-by-step explanation:

Answer:

\(\boxed{\sf m=\boxed{8}}\)

Step-by-step explanation:

To determine the slope of a line given the coordinates of two points on the line, use the slope formula.

\(\boxed{\sf \mathrm{m}=\cfrac{y_2-y_1}{x_2-x_1}}\)

x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.

\(\Box \:\:\sf Points:(6,-4)\:and (7,4)\)

\(\leadsto\sf \left(x_1,\:y_1\right)=\left(6,\:-4\right)\)

\(\leadsto\sf \left(x_2,\:y_2\right)=\left(7,\:4\right)\)

______________

\(\longmapsto\sf m=\cfrac{4-\left(-4\right)}{7-6}\)

\(\longmapsto\sf m=8\)

________________________________

Answer:

x = 7

Step-by-step explanation:

(x+3)=10

10 - 3 = 7

(7+3)=10

Answer:

x = 7

Step-by-step explanation:

x + 3 = 10

=> x = 10 - 3

=> x = 7

Answer: The answer to number 13 is true because when you graph it, it is a straight line and the answer to number 14 is false because you can't graph an exponent.

Answer:

a) 1

b) There is no limit to which the largest number can be because we are only given information about the median.

c) 1

d) 90

After answering the provided question, we can conclude that As a result, expression Eukenes' new room could have the following rectangular dimensions: 10 ft. x 11 ft. ; 9 ft. x 13 ft.; 8 ft. x 15 ft.; 7 feet wide by 17 feet long.

An expression in mathematics is a collection of interpretations, digits, and transnational corporations that resemble a clear relationship or regimen. A sequence of numbers, a mutable, or a combo of the two can be used as an expression. Mathematical operators include addition, subtraction, growing influence, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

Eukenes' current bedroom is located in:

108 square feet = 9 feet x 12 feet

The main room area without the alcove is:

9 feet x 12 feet minus 4 feet x 3 feet equals 108 square feet minus 12 square feet equals 96 square feet.

To determine the dimensions of the new room, we must first locate a rectangle with an area greater than or equal to 108 square feet.

Let's take a look at each option:

110 square feet = 10 feet x 11 feet

This room is slightly larger than Eukenes' current bedroom and would suffice.

117 square feet = 9 feet x 13 feet

This room is also larger than Eukenes' current bedroom and could accommodate him.

120 square feet = 8 feet x 15 feet

This room is slightly larger than Eukenes' current bedroom and would suffice.

119 square feet = 7 feet x 17 feet

This room is slightly larger than Eukenes' current bedroom and would suffice.

114 square feet = 6 feet x 19 feet

This room is much smaller than Eukenes' current bedroom and would be ineffective.

As a result, Eukenes' new room could have the following rectangular dimensions:

10 ft. x 11 ft.

9 ft. x 13 ft.

8 ft. x 15 ft.

7 feet wide by 17 feet long.

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