∫(cos^3 x/√sinx) dxEvaluate ∫2sin^5 x dxEvaluate ∫sec^4 3x dx∫dx/√(25x^2-4)∫x√(x^2 – 16dx)

The confidence interval approach is the correct method by which to determine sample size. True

Confidence Interval:

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.

Your desired confidence level is usually one minus the alpha (α) value you used in your statistical test:

                    Confidence level = 1 − α

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Answer:

3/g

Step-by-step explanation:

i’m not quite sure what this is asking

Answer:

Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4

Part B:

P''(-1, 0)

Q''(0, -1)

R''(2, -1)

Part C:

The two Triangles PQR and P''Q''R'' are not congruent

Step-by-step explanation:

The coordinates of triangle PQR are;

P(4, 0)

Q(0, 4)

R(-8, -4)

The coordinates of triangle P'Q'R' are;

P'(1, 0)

Q'(0, -1)

R'(-2, -1)

Part A:

The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' can be found from the ratio of the respective coordinates as follows;

The ratio of the x, and y coordinates of the points are;

P'/P  = x'/x = 1/4, y'/y =0/0

R'/R = x'/x = -2/-8 = 1/4, y'/y =-1/-4 = 1/4

Therefore, the scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' = 1/4

Part B: For reflection across the y-axis, we have;

Pre-image (x, y) becomes the image, (-x, y)

Therefore, we have;

Reflection of P'(1, 0) about the y-xis becomes P''(-1, 0)

Reflection of Q'(0, -1) about the y-xis becomes Q''(0, -1)

Reflection of R'(-2, -1) about the y-xis becomes R''(2, -1)

Part C:

The two Triangles PQR and P''Q''R'' are similar but they are not congruent as the dimensions of PQR are larger than the dimensions of the sides of triangle P''Q''R''.

(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/4

(B) Coordinates of Δ P"Q"R"

P" (-1,0)

Q"(0,-1)

R"(2,-1)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (4,0),

Q(0,-4)

R(-8,-4)

Coordinates of P'Q'R' are

P'(1,0)

Q'(0,-1)

R'(-2,-1)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = \(D= \sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2 }\)

Where D = Distance between two points \((X_1.Y_1) \; and\; (X_2.Y_2)\)

from distance formula we can write that

\(PQ = \sqrt{(0-4)^2+ (-4-0)^2} }\\\)

PQ = \(4\sqrt{2}\)

Similarly

P'Q'= \(\sqrt{2}\)

PQ /P'Q' = 4

hence the scale factor of dilation is 1/4 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

\((x,y ) \; as \; (-x,y)\)

So the Coordinated of Δ P"Q"R" can be written as

P" (-1,0)

Q"(0,-1)

R"(2,-1)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

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Answer:

parallelograms

Step-by-step explanation:

It's all about diagonals

Statistical process control technique that permits only 3.4 defects per million opportunities is Six Sigma.

Six Sigma is a statistical technique that emphasizes the necessity of a standardized approach to enhancing and optimizing the efficiency of the production and management processes by reducing the variation and waste within them. It concentrates on controlling a process to ensure that the results of a process are consistent and reliable by using statistical methods. The objective of the Six Sigma process is to produce 3.4 errors or defects per million opportunities. If the process is better than Six Sigma, it is considered more consistent and predictable.
Six Sigma's statistical approach to process control encompasses a range of tools and methods. Six Sigma's primary objective is to increase revenue and profits by developing and delivering high-quality products and services while eliminating defects and reducing waste.
Six Sigma aims to improve quality by detecting and reducing the reasons for variations in production processes. It accomplishes this by developing quality management practices that enable it to assess quality, establish goals, and implement best practices to achieve those goals.
In conclusion, Six Sigma is a process control approach that emphasizes statistical methods for process control and improvement. Six Sigma is used to reduce variability and eliminate waste, and its goal is to achieve 3.4 defects per million opportunities.

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In the coordinate axis the point D is located at the position of (5,-2) .

In the given graph of the coordinate axis , we can see that the four points A,B,C and D are located

The coordinates of each point are :

A (-5,-2)

B (-2,5)

C (2,-5)

D (5,-2)

Therefore using the given abscissae and ordinate of the points the point that is located at (5,-2) is D.

A coordinate system in geometry is a way to use one or more integers, or coordinates, to determine the exact placement of points or other geometrical objects on a manifold, such Euclidean space.

The order of the coordinates is crucial, and they are frequently identified by their position in an ordered tuple or by a letter, such as "the x-coordinate." The coordinates are often real values in elementary mathematics, but they could also be complex numbers or parts of a more abstract system, such a commutative ring.

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Therefore, the temperature of the can of soda after 115 minutes is approximately 55°F, rounded to the nearest degree.

A mathematical equation is an expression with equality on both sides of the equal to sign that connects two other expressions. Think about the equation 3y = 16 as an illustration.

To find the value of k, we need to use the information given to solve for k in the equation T = Ta + (To - Ta) * \(e^(-kt)\), where T is the temperature of the can of soda, Ta is the ambient temperature (73°F), To is the temperature of the refrigerator (39°F), and t is the time elapsed in minutes.

We know that after 15 minutes, the temperature of the can of soda reaches 61°F, so we can substitute these values into the equation and solve for k:

61 = 73 + (39 - 73) * \(e^(-k * 15)\)

-12 = -34 * \(e^(-15k)\)

0.3529 =\(e^(15k)\)

㏒(0.3529) = 15k

k = -0.0301

So k is approximately -0.0301, rounded to the nearest thousandth.

To find the temperature of the can of soda after 115 minutes, we can use the same equation with the value of k we just found:

T = 73 + (39 - 73) * \(e^(-0.0301 * 115)\)

T = 73 + (-34) * \(e^(-3.47)\)

T = 73 + (-34) * 0.54

T = 54.62

Therefore, the temperature of the can of soda after 115 minutes is approximately 55°F, rounded to the nearest degree.

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Answer:

I think it's a function because it passes the vertical line test

________________

Additional Comment

If you find the answer helpful, please mark Brainliest! :)

Answer:

Regression is a statistical technique or method that evaluates the relationship between one dependent variable (usually denoted by Y) and a set of other variables (known as independent variables or regressors)

Step-by-step explanation:

Answer:

50 candies

Step-by-step explanation:

since there are 200 in total and there is a 25% chance of getting one, I multiplied 0.25×200.

Hope this helps

Answer:

decay

Step-by-step explanation:

y=28(0.438)^8

This is in the form

y = a b^x

a is the initial value and b is the rate of growth or decay

since b < 1 the function is decaying

Answer:

Step-by-step explanation:

\(\frac{1}{9}\) ÷ 8

= \(\frac{1}{9}\) * \(\frac{1}{8}\)

= \(\frac{1}{9*8}\)

= \(\frac{1}{72}\)

Now

\(\\ \rm\rightarrowtail 1/9\div (8)\)

\(\\ \rm\rightarrowtail 1/9(1/8)\)

\(\\ \rm\rightarrowtail 1/72\)

Done

Answer:

y > 2x+5  and y > 6+ 3z/4

Step-by-step explanation:

solve each inequality and then find the intersection

Answer:

y > - 2x

Step-by-step explanation:

dude I'm six grade and I think it's c

The investment amount that is receiving simple interest is $35 divided by the interest rate.

To find the investment amount that is receiving simple interest, we can use the formula:

Total Interest = Principal * Interest Rate * Time

Given that the interest earned in the first year is $35, and the total interest for the next 10 years is $350, we can set up two equations:

35 = Principal * Interest Rate * 1
350 = Principal * Interest Rate * 10

Since the interest rate remains the same, we can divide the second equation by 10 to get:

35 = Principal * Interest Rate * 1
35 = Principal * Interest Rate

Now, we can divide both sides of the equation by the interest rate to isolate the principal:

35 / Interest Rate = Principal

Therefore, the investment amount that is receiving simple interest is $35 divided by the interest rate.

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Answer:Find all the numbers less than or equal to the given number.

Divide the given number by each of the numbers.

The divisors that give the remainder to be 0 are the factors of the number.

Step-by-step explanation:Find all the numbers less than or equal to the given number.

Divide the given number by each of the numbers.

The divisors that give the remainder to be 0 are the factors of the number.

The length of the side of the original square is 8 inches. Thus the equation for x^(2) after simplification is

x² + 6x - 55 = 0.

Given: Each side of a square is lengthened by 3 inches. The area of this new, larger square is 64 square inches.The area of the larger square is 64 sq inTherefore, the side of the larger square is x + 3The area of the square is equal to the square of the side length.A square of side a has an area of a^2 sq units.Area of the larger square = (x + 3)^2 = 64sq in(x + 3)^2 = 64 sq in(x + 3)(x + 3) = 64 sq inx^2 + 6x + 9 - 64 = 0x^2 + 6x - 55 = 0We can simplify this equation by finding two factors that multiply to -55 and add up to 6.7 * (-8) = -56 and 7 - 8 = -1Hence the original side length is x = -7 or x = 8. The original side length of the square cannot be negative and hence the length of the side of the original square is 8 inches. Thus the equation for x^(2) after simplification is x² + 6x - 55 = 0.

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Answer:

7.5 mL

Step-by-step explanation:

If it decays exponentially then you divide the previous number by 4 to get the next number and 30 divided by 4 is 7.5mL.

Answer:

The story is not clear enough to provide the answer

Step-by-step explanation:

First of all we do not know how many childen are in the Martin Family

\(20 \times 8\)

=$160

So depending on how each child sends and how many children will determine which kid will have most of the money left

The formula for the volume of a cone is \(V=\pi r^2\frac{h}{3}\)

Plug in the values we know.

\(V=\pi (5)^2\frac{6}{3}\)

\(V=\pi*25*2\)

\(V=50\pi\)

\(V=157\)

^ If 3.14 was used for \(\pi\)

Hope this helps.

頑張って!

Answer:

bueno, es 3.70 así que espero que ayude um buena suerte ~ nena ~

Step-by-step explanation:

To complete the table, we need to count how many numbers fall within each interval.

For the interval 0-29, we have the following numbers: 25, 27, 25, 27. This means we have 4 numbers that fall within this interval.
For the interval 30-59, we have the following numbers: 46, 37, 40, 38, 47, 48. This means we have 6 numbers that fall within this interval.
For the interval 60-89, we have the following numbers: 74, 68, 85, 62, 82, 68. This means we have 6 numbers that fall within this interval.
For the interval 90-119, we have the following numbers: 94, 115, 105, 93, 95, 110, 94, 105, 110. This means we have 9 numbers that fall within this interval.

Therefore, the completed table would be:

Interval   |   Frequency
-------------------------
0-29      |       4
30-59    |       6
60-89    |       6
90-119  |       9
Hello! I'd be happy to help you complete the frequency table for the given data.

Interval:     Frequency:
0-29          5
30-59         8
60-89         6
90-119       10

Your completed frequency table is as follows:

Interval      Frequency
0-29          5
30-59         8
60-89         6
90-119       10

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To find the area of the union of the two triangles, we first reflect the original triangle about the line x=8 to create a second triangle.

The original triangle with vertices (6, 5), (8, -3), and (9, 1) is reflected about the line x=8. Since the line x=8 is a vertical line, the reflection will result in the corresponding points having their x-coordinate mirrored about x=8.

The reflected triangle will have vertices (10, 5), (8, -3), and (7, 1).

To find the area of each triangle, we can use the Shoelace Formula or the formula for the area of a triangle given its vertices.

For the original triangle, we can use the formula:

Area = \(1/2 * |x1(y2-y3) + x2(y3-y1) + x3(y1-y2)|\)

For the reflected triangle, we can use the same formula with the new set of vertices.

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Answer:

He was gone for 36 minutes

Step-by-step explanation:

Sorry if wrong

Answer:

3/8 of the area is shaded

Step-by-step explanation:

this can be determined by deviding the total shape into parts and determining those parts

so we see the top right 1/4 of the shape has a square that is shaded, with the triangle only covering 1/2 of this shape becuase the hypotenuse ((diagnal edge of a right triangle)) devides the square in half

beings that 1/2 of the 1/4 square is shaded, we know that in reation to the whole shape that the small shaded area is equal to 1/8 ((1/2 ÷ 1/4 = 1/8))

same can be said for the bottum shape, with the bottum half of the whole shape half covered we can determine its total shaded area in relation to the shape ((1/2 ÷ 1/2 = 1/4))

the left top shape is completely unshaded so we wont need to calculate any shadded area into the equation

with the total shape covered by 1/4 + 1/8 we can find the least common denominator between the two fractions to get a simplifide answer for the total shaded area

1/4 = 2/8
2/8 + 1/8 = 3/8

this leaves 5/8 of the shape unshaded

3/8 fraction of the square is to be shaded.

A triangle is a three-sided polygon that consists of three edges and three vertices.

In the top right 1/4 of the shape has a square that is shaded, with the triangle only covering 1/2 of this shape because the hypotenuse divides the square in half.

1/2 of the 1/4 square is shaded, we know that in relation to the whole shape that the small shaded area is equal to 1/8.

same can be said for the bottom shape, with the bottom half of the whole shape half covered we can determine its total shaded area in relation to the shape.

1/4 = 2/8

2/8 + 1/8 = 3/8

Hence, 3/8 fraction of the square is to be shaded.

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The general vertex form of a quadratic equation is:

where the point (h,k) is the vertex

In the case of

the vertex is located at (3,-2). Also, we can see that a = 2, which is greater than 0, this means that the curve opens up