Riley started selling bracelets. During the first month she sold 400 bracelets at $10 each. She tried raising the price, but for every $0. 50 she raised the price, she sold 8 fewer bracelets. What price should she charge in order to make the highest possible gross income?

a) P-value = P(z<1.47) = 0.9292.

b) P-value = P(z>2.70) = 0.0036.

c) P-value = 2 × P(z>2.70) = 0.0072.

d) P-value = P(z>2.5) = 0.0062.

Z-test is a statistical test for the null hypothesis, which refers to the population mean, where the population standard deviation is known. P-value represents the probability value for any hypothesis, where a small p-value indicates that the null hypothesis is less accurate.

P-value, for the given values of z-test is calculated as follows: a) For ha: p < .6, z=1.47The p-value for this hypothesis test is calculated as follows: P-value = P(z<1.47) = 0.9292. Therefore, the P-value is 0.9292. b) For ha: p > .6, z=2.70The p-value for this hypothesis test is calculated as follows.

P-value = P(z>2.70) = 0.0036. Therefore, the P-value is 0.0036.c) For ha: p ≠ .6, z=2.70The p-value for this hypothesis test is calculated as follows: P-value = 2 × P(z>2.70) = 0.0072.

Therefore, the P-value is 0.0072.d) For ha: p > .6, z=2.5The p-value for this hypothesis test is calculated as follows: P-value = P(z>2.5) = 0.0062. Therefore, the P-value is 0.0062.

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Answer: 19

Step-by-step explanation:

This is an isosceles trapezoid. Note that because this is an isosceles trapezoid, QN and MP are equal. Use the lengths given and solve:

3x + 1 + 6 = 6x - 5

3x = 12

x = 4

Plug x = 4 in 3x + 1 + 6, and we get 3(4) + 1 + 6 = 12 + 7 = 19

Hope this helps!

Numerical integration involves approximating the definite integral of a function using numerical methods.

There are various techniques for numerical integration, including the Trapezoidal rule, Simpson's rule, and Gaussian quadrature.In general, these methods divide the integration interval into smaller sub-intervals and approximate the area under the curve within each sub-interval using mathematical formulas.

The approximations are then summed up to estimate the integral over the entire interval.The accuracy of the numerical integration depends on the number of sub-intervals used and the specific method used. Generally, increasing the number of sub-intervals leads to a more accurate approximation.

Overall, numerical integration is a useful tool for evaluating integrals that cannot be solved analytically and is commonly used in various fields such as physics, engineering, and finance.

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Answer:

4.54714 × 103

Step-by-step explanation:

A bin can hold 28 pounds. each toy car weighs 7 ounces., so the bin can hold 64 toy cars.

To determine the number of toy cars the bin can hold, we must first convert the weight limit of the bin and the weight of the toy cars to a uniform unit of measure.

We'll then divide the weight limit of the bin by the weight of one toy car. After that, we'll multiply the resulting value by the number of ounces in one pound (16).

Here's how to solve the problem:

1 pound = 16 ounces

Therefore, a bin that can hold 28 pounds can hold:28 × 16 = 448 Ounces

The weight of one toy car is 7 ounces.

Divide the weight limit of the bin (448 ounces) by the weight of one toy car (7 ounces):

448 ÷ 7 = 64

Therefore, the bin can hold 64 toy cars.

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TU is a perpendicular bisector.

A line that divides a line segment into two equal halves and forms a 90-degree angle at the point of intersection is called a perpendicular bisector.

To put it another way, a perpendicular bisector separates a line segment at its midpoint, creating a 90-degree angle.

A line or line segment that divides a given line segment into two equal portions is known as a perpendicular bisector.

The word "bisect" refers to dividing equally.

The line segment that perpendicular bisectors overlap forms four 90° angles on either side.

A line or line segment is said to be perpendicular when it forms a 90° angle with another line or line segment.

Hence, TU is a perpendicular bisector.

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Answer:

(-1,1)

(0,2

(1,3)

(2,4)

The score at the 20th percentile is 27.

To find the score at the 20th percentile of the 29 ages for Academy Award winning best actors, follow the steps below:

Arrange the given ages from smallest to largest.

18; 21; 22; 25; 26; 27; 29; 30; 31; 33; 36; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77

Determine the total number of data points

n = 29

Find the rank of the percentile

20th percentile = (20/100) * 29 = 5.8 = 6 (rounded to the nearest whole number).The rank of the percentile is 6.

Use the rank to determine the corresponding data value. The corresponding data value is the value at the 6th position when the data is arranged in ascending order. The score at the 20th percentile is 27.

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When a researcher draws conclusions about a population based on the results of a test on a sample, he or she is most likely using inferential statistics. Therefore Option A is correct.

Inferential statistics: It involves using sample data to make inferences or draw conclusions about a population. In this case, the researcher is using the results from the sample to make inferences about the population from which the sample was drawn.

Deductive statistics, inductive statistics, and descriptive statistics are other branches of statistics that are used for different purposes.

Therefore the researcher draws a conclusion to use inferential statistics about a population based on test of sample.Option A is correct.

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A linear transformation matrix is a square matrix that represents a linear transformation of a vector space. The composition of linear transformation matrices is equivalent to the composition of linear transformations they represent.

In general, the composition of two linear transformations A and B can be represented by the matrix product AB. Therefore, the composition of two linear transformation matrices, say A and B, would be the matrix product AB.

Linear transformations are functions that map vectors from one vector space to another in a linear way. These transformations can be represented by matrices, which can be composed to represent the composition of linear transformations.

The composition of two linear transformations represented by matrices involves multiplying the matrices together. To perform this multiplication, we need to ensure that the number of columns in the first matrix matches the number of rows in the second matrix. The resulting matrix will have the same number of rows as the first matrix and the same number of columns as the second matrix.

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The output of the definite integral and summation expression can be presented as follows;

[tex](\frac{\int\limits^1_0 {(\sum\limits_{n=5}^5 n\cdot 5 \cdot \sqrt{25} )} \, dx }{\int\limits^1_0 {(\sum\limits_{n=2}^5 2 + 6)} \, dx } ) = \frac{125}{32} =3\frac{29}{32}[/tex]

An indefinite integral is an antiderivative of a function, while a definite integral is the limit of a sum of areas of rectangles.

The steps to integrate the specified definite integral expression can be presented as follows;

The integrals and the summations in the question are simplified thus;

Sum n = 5 to 5 n × 5 × √(25) is the sum of n times 5 times √(25) over the range [5, 5], which is the same as 5 × 5 × √(25) = 125

Sum n = 2 to 5, 2 + 6 is the sum of (2 + 6) over the range [2, 5], which, based on the operation is (2 + 6) + (2 + 6) + (2 + 6) + (2 + 6) = 32

The integration of the above summations are found as follows;

Integrate 125 dx from 0 to 1 is the definite integral of the constant function, 125, over the interval [0, 1], which is the same as 125 × (1 - 0) = 125.

The integration of 32 dx from 0 to 1 is the definite integral of the constant function 32 over the interval [0, 1], which is just 32 × (1 - 0) = 32

Plugging in the above values into the original expression, we get;

[tex]\frac{\int\limits^1_0 ({\sum\limits_{n=5}^5}n\cdot 5\cdot \sqrt{25} ) \, dx }{\int\limits^1_0 (\sum\limits_{n=2}^5 2+6) \, dx } = \frac{125}{32}[/tex]

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Answer:

P = [tex]2y^{2}[/tex] + 4xy +4

Q = [tex]-3y^{2}[/tex] + 7 -3xy

R = -3xy +8

Step-by-step explanation:

Answer:

-130

Step-by-step explanation:

By answering the presented question, we may conclude that So, the Pythagorean theorem length of MN is expressed in terms of a and b.

Its Pythagorean theorem is just a fundamental mathematical principle that explains the connection between the sides of a triangle that is right. It asserts that the sum of the squares of both the widths of the other two sides is a square of both the width of the hypotenuse (the side facing the perfect angle) the side opposite the right angle). The mathematical mathematics is as follows: c2 = a2 + b2 At which "c" indicates the length of the right triangle and "a" and "b" reflect the extents of the additional two sides, started referring to as the legs.

Because M is the midpoint of OE and N is the midpoint of AB, we can draw a line segment connecting M and N that is parallel to OB and AE and perpendicular to AB.

the Pythagorean theorem

[tex]OE² = OX² + XE²OE²[/tex]

[tex](a + b/2)² + (2a - b/√3)²OE² = 7a²/4 + 3ab/2 + b²/4AN²[/tex]

[tex]AE² + EN²AN² = (2a√3)² + (b/2)²AN²[/tex]

[tex]12a² + b²/4MN² = AN² + AM²MN² \\\\ 12a² + b²/4 + (7a²/4 + 3ab/2 + b²/4)MN²\\\\19a²/2 + 3ab/2 + b²/2MN = √(19a²/2 + 3ab/2 + b²/2)[/tex]

So, the length of MN is expressed in terms of a and b.

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Answer:

$2300

Step-by-step explanation:

$1610 is 7/10 the original cost. Multiplying by 10/7 reverses that, and we get the starting cost of $2300

Hope this helps!

The probability of the disk drive being in a normal state is 0.5, and the probability of the disk drive being in a failed state is 0.3.

The given table represents the joint probability mass function of the random variables, pxyc (r, y, c). r, y, and c denote the temperature, shock sensor, and health status of the disk drive. The values of r, y, and c are binary.The joint probability mass function of three random variables r, y, and c can be represented as follows:pxyc (r, y, c)= P(r, y, c)Here,P(r=0, y=0, c=0)= 0.1, P(r=0, y=1, c=0)= 0.2, P(r=1, y=0, c=0)= 0.2,P(r=0, y=0, c=1)= 0, P(r=0, y=1, c=1)= 0, P(r=1, y=0, c=1)= 0,P(r=0, y=0, c=0)= 0, P(r=0, y=1, c=0)= 0, P(r=1, y=1, c=0)= 0.05,P(r=0, y=0, c=1)= 0.25, P(r=0, y=1, c=1)= 0, P(r=1, y=0, c=1)= 0.From the given table, the probability of the disk drive being in a normal state, C=0, is P(C=0)=P(r=0, y=0, c=0)+P(r=0, y=1, c=0)+P(r=1, y=0, c=0)=0.1+0.2+0.2=0.5Hence, the probability of the disk drive being in a failed state, C=1, is:P(C=1)=P(r=0, y=0, c=1)+P(r=0, y=1, c=1)+P(r=1, y=0, c=1)+P(r=1, y=1, c=0)=0.25+0+0+0.05=0.3Therefore, the probability of the disk drive being in a normal state is 0.5, and the probability of the disk drive being in a failed state is 0.3.

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Answer:

To use an area model to determine the quotient of 556 and 16, we can divide a rectangle of area 556 into 16 equal parts. Each part will have an area of 556/16.

We can start by dividing 556 into 16 groups of 10 (160), and then into 16 groups of 3 (48). That leaves us with a remainder of 4.

So we have:

556 = 16 x 34 + 48 + 4

This shows that 556 can be written as 16 times some whole number (34) plus a remainder of 48 + 4/16.

Simplifying the remainder, we have:

48 + 4/16 = 48 + 1/4 = 48.25

Therefore, the quotient of 556 and 16 is:

556/16 = 34 1/4

The quotient of 556 and 16 using an area model can be determined by producing a rectangle with the total area of 556 and one side of 16. The length of the other side will be the quotient. In this case, the quotient is 34 3/4.

When asked to determine the quotient of 556 and 16 using the area model, one way to think of this is making a rectangle. The total area is 556 and one side is 16. The length of the other side will be the quotient.

Start by first estimating how many times 16 could fit into 556. Let's take 30 as an estimate, because 30*16 = 480, which is relatively close to 556. Draw a rectangle with the width of 16 and the length of 30.

Find the difference between the rectangle's area and 556. So, 556 - 480 = 76. Now, 76 is our remaining area to fill. 16 goes into 76 four more times, adding up to 64.

There is still a leftover area, which is 76-64 = 12. This is smaller than our width of 16. So, your final answer is 34 12/16 or 34 3/4 in simplest form.

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The best statistical measure to represent the entire spread of the data set when a data set is symmetrical is the standard deviation.

The standard deviation is a measure of how much the individual data points vary from the mean of the data set.

It is calculated by taking the square root of the variance.

It is the average of the squared differences of each data point from the mean.

In a symmetrical data set, the mean, median, and mode are all equal and located at the center of the data set.

This represents that the data points are evenly distributed around the center.

The standard deviation can provide a good measure of the spread of the data points from this center.

Other measures of spread representing the range or interquartile range, may not be as useful in a symmetrical data set .

As they are more affected by outliers and skewness in the data.

Therefore, the symmetrical data set in best way represented by statistical measure known as standard deviation.

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A) The value of  x = 45 degrees

B) Lines AD and BC are not parallel when ABCD is drawn to scale.

To solve this problem, we can use the fact that the sum of the angles in a quadrilateral is 360 degrees.

A) angle A + angle B + angle C + angle D = 360

2x + 90 + x + 3x = 360

6x + 90 = 360

6x = 270

x = 45

Therefore, x = 45 degrees.

B) To determine if lines AD and BC are parallel, we can look at the opposite angles of the quadrilateral. If they are supplementary (add up to 180 degrees), then the lines are parallel.

angle A + angle C = 2x + x = 3x = 135 degrees

angle B + angle D = 90 + 3x = 90 + 135 = 225 degrees

Since angle A + angle C and angle B + angle D do not add up to 180 degrees, the opposite angles are not supplementary, and therefore, lines AD and BC are not parallel.

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The given question is incomplete, the complete question is:

ABCD is a quadrilateral A) Calculate the value of x. B) When ABCD is drawn to scale, would the lines AD and BC be parallel or not?

The CGST and SGST that M/S Sing Trader must pay as the GST rate is 28% is Rs. 280 CGST and Rs. 280 SGST.

Given that,

M/S Sing Trader spent Rs. 10,000 in taxable revenue for a refrigerator. For a taxable amount of Rs. 12,000, they sold it to Amrutbhai.

We have to find the CGST and SGST that M/S Sing Trader must pay as the GST rate is 28%. ​

We know that,

Input tax = 10000  × 28%

Output tax = 12000 × 28%

GST payable = 12000 × 28% - 10000 × 28%

GST payable  = 28% (12000-10000)

GST payable = 28% (2000)

GST payable = [tex]\frac{28}{100}[/tex](2000)

GST payable = 28×20

GST payable = 560

CGST = SGST = [tex]\frac{GST}{2}[/tex] = [tex]\frac{560}{2}[/tex] = Rs. 280

Therefore, The CGST and SGST that M/S Sing Trader must pay as the GST rate is 28% is Rs. 280 CGST and Rs. 280 SGST.

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4x - 4/4x² + x is the value of linear equation.

What in mathematics is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.  

                                   Equations with power 1 variables are known as linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

28x³ - 28x²/28x⁴ + 7x³

= 28x²( x - 1 )/7x³( 4x + 1)

= 4( x - 1)/x( 4x + 1)

= 4x - 4/4x² + x

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In response to the stated question, we may state that As a result, the area final polynomial in standard form is: -25pi + 50

The size of a surface area can be represented as an area. The surface area is the area of an open surface or the border of a three-dimensional object, whereas the area of a planar region or planar region refers to the area of a shape or flat layer. The area of an item is the entire amount of space occupied by a planar (2-D) surface or form. Make a square with a pencil on a sheet of paper. A two-dimensional character. On paper, the area of a form is the amount of space it takes up. Assume the square is made up of smaller unit squares.

To calculate the area of the darkened areas, subtract the area of the circle from the area of the square.

Then, determine the square's side length. Because the circle's diameter is ten, the radius is five. Because the diagonal of a square equals the diameter of a circle, we can use the Pythagorean theorem to calculate the side length:

[tex]s^2 + s^2 = 10^2\\2s^2 = 100\\s^2 = 50\\s = \sqrt(50) = 5 * \sqrt(2)[/tex]

The square's area is then:

[tex]A_{square} = s^2 = (5 * \sqrt(2))^2 = 50[/tex]

The circle's area is:

[tex]A_{circle} = pi * r^2 = pi * 5^2 = 25 * pi[/tex]

The shaded region's area is:

[tex]A_{shaded} = A_{square} - A_{circle} = 50 - 25 * pi[/tex]

As a result, the final polynomial in standard form is:

-25pi + 50

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Answer:

- 1 and 7

Step-by-step explanation:

to find h(0) substitute x = 0 into h(x)

h(0) = 4(0) - 1 = 0 - 1 = - 1

to find h2) substitute x = 2 into h(x)

h(2) = 4(2) - 1 = 8 - 1 = 7

The equation that can be used to find d, the diameter of a new soccer ball, is: |d - 8.65| = 0.05

What is diameter ?

Diameter is the distance across a circle passing through its center, and it is defined as the length of a straight line passing through the center of a circle and connecting two points on the circumference of the circle. In the case of a soccer ball, the diameter is the distance between two opposite points on the surface of the ball, passing through its center.

Radius is a term used in geometry to refer to the distance from the center of a circle to any point on its circumference. It is defined as half of the diameter of a circle. In the case of a soccer ball, the radius is the distance from the center of the ball to its surface. The radius is related to the diameter by the formula:

radius = diameter / 2

The minimum possible diameter of a soccer ball is:

d = 8.65 - 0.05 = 8.60 inches

The maximum possible diameter is:

d = 8.65 + 0.05 = 8.70 inches

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Answer:

Step-by-step explanation:

(52 divided by 80) multiplied by 100
that will give you the answer

Answer:

The 2nd table

Step-by-step explanation:

For the first set of x and y values, divide y (9/4) by x(3)

Change 3 to 1/3 due to the keep-change-flip rule and multiply that by 9/4 as 9/4 × 1/3= 9/12 which is equivalent to 3/4

Do the same process with 6 and 9/2 and that should give you 3/4 as well

Therefore the second table of values have a proportional relationship to each other as they have the same quotient.

Hope this helps.

Growth models like those used in ForecastX usually model situations well where a process grows at an exponential rate. Which is (C).

What is ForecastX?

ForecastX is forecasting software that is used for business purposes. It is simple to use and allows you to forecast your sales, income, or other metrics. ForecastX allows you to create accurate and reliable forecasts using automated time series analysis, a method of forecasting that incorporates historical data to make predictions about the future.

The speed or frequency of something is referred to as the rate. A rate is a ratio that compares two values in different units. The term "rate" is used to describe any ratio that specifies how one quantity varies with respect to another quantity.

Growth models like those used in ForecastX usually model situations well where a process grows at an exponential rate.

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Answer: Total number of males= C

Step-by-step explanation: