A large consumer goods company ran a television advertisement for one of its soap products. On the basis of a survey that was conducted, probabilities were assigned to the following events. The probabilities assigned were , , and a. If an individual recalls seeing the advertisement, what is the probability that the individual purchased the product (to 1 decimals)

Answer:

The answer is 22.4

Hello there!

Answer:

[tex]36 - 25x^{2}y^{2}[/tex]

Step-by-step explanation:

We can use the special formula:

[tex](a - b)(a + b) = a^{2} - b^{2}[/tex]

If a = 6 and b = 5xy then:

[tex](6 - 5xy)(6 + 5xy) = 6^{2} - (5xy)^{2} = 36 - 25x^{2}y^{2}[/tex]

This is the final answer

But if we don't know this formula, we can solve it other way:

[tex](6 - 5xy)(6 + 5xy) = 6^{2} + 5xy * 6 - 5xy * 6 - (5xy)^{2} = \\\\= 6^{2} - (5xy)^{2} = 36 - 25x^{2}y^{2}[/tex]

The equation on how to find the volume is πr²h = 24

From the question, we have the following parameters that can be used in our computation:

Volume = 24 cubic feet

The volume of a cylinder can be calculated as

Volume = πr²h

Where

r = radius

h = height

Substitute the known values in the above equation, so, we have the following representation

πr²h = 24

Hence, the equation is πr²h = 24

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Therefore , the solution of standard deviation is  because the value of 1452.2 cm3 does not fall between the range of 917.4 cm3 and 1422.2 cm3.

Standard deviation, often known as variance in a set of data, is a statistical measure of variation. A low standard deviation indicates that the values are more likely to be near the mean of the collection, whereas a high standard deviation indicates that the values are widely distributed. How far the data depart from the mean is expressed by the standard deviation, abbreviated as.

Here,

Considering the details here,

The average brain volume is 1169.8 cm3, while the standard deviation is 126.2 cm3.

The much lower results are u-2 = 11169.8-2(126.2) => 917.4.

Reason: According to the range rule of thumb, the required incredibly low values are 91.7 cm3 or less.

Hint: Use the algorithm to identify values that are at least considerably high.

Step: 2

Considering the data supplied,

The average brain volume is 1169.8 cm3, while the standard deviation is 126.2 cm3.

Significantly higher values include,

u-2α = 11169.8+ 2(126.2)

=> 1422.2

Justification: According to the range rule of thumb, the necessary significantly high values must be 1422.2 cm3 or higher.

Hint: To determine whether the value 1452.2 cm3 is very high, use the findings of steps (1) and (2).

Step: 3

Using step 1 and step (4),

917.4 is among the significantly low numbers or less.

The significantly high values are 1422.2 or higher.

Yes, 1452.2 cm3 is a noticeably high value.

The apt response is choice (B).

Reason: The value is much higher than expected based on the range rule of thumb because the value of 1452.2 cm3 does not fall between the range of 917.4 cm3 and 1422.2 cm3.

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Yes, 9 is a positive number because 9 is a natural number and also we use 9 in our daily life counting problems also.

Let's first attempt to understand what numbers are.

A number is an arithmetic value that is computed and used to represent a quantity. Numbers are represented in writing by symbols like "3," which are numerical symbols. A number system is a methodical way of employing digits or other symbols to represent numbers. The numerical system is a useful set of numbers that reflects the mathematical and algebraic structure of the number. provides a typical illustration.

Positive numbers Any number that represents something other than zero is considered to be positive. When referring to the amount of money in your bank account, a positive figure would undoubtedly make you feel good as well.

So 9 is a positive number.

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Answer:

-24

Step-by-step explanation:

2(6)(-2)

The equation and the answer of this question is 1.20 + 3.25x = 40.20, x = 12

According to the information that has been provided to us, the cost that the taxi company charged was $1.20, in addition to $3.25 per mile, for a total fare of $40.20.

Therefore, the equation would be:

1.20 + 3.25X = 40.20

To find the distance from Zoey’s house to the airport we need to calculate the value of X

1.20 + 3.25X = 40.20

3.25X = 39

X = 39 : 3.25

X = 12 miles

As a result, the distance from the house to the airport would be around 12 miles.

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Answer:

The equation of line q in slope-intercept form is

y= 1/4 x– 9/2

.

Step-by-step explanation:

The robot is moving in the direction indicated by the formula ((i)²¹*(-i)²²)d, or in the beginning direction.

What is complex plain?

When a line is rotated in the complex plane either clockwise or anticlockwise, it is multiplied by -i or I depending on which direction the line is rotated. The direction vector is rotated 90 degrees in the clockwise direction to make a right turn. It is the same as increasing the complex number by -i.

A left turn is represented as a 90° anticlockwise rotation of the direction vector. It is comparable to increasing the complex number by i.

There are 21 left turns of the robot. The direction vector will now be di21. Once it has been rotated 22 times to the right, the direction vector will now be  (di²¹)*(-i)²²=d((i)²¹*(-i)²²).

Consequently, the robot's current direction is:

d((i)²¹*(-i)²²)= di²¹⁺²²=di⁴³= d(-i)= -di

No matter what, the direction will always be the same, hence the sequence is irrelevant.

Hence, the equation that will indicate where the robot is moving is  ((i)²¹*(-i)²²)d, or in the starting direction. Furthermore, the final direction it faces does not depend on the order.

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In 7/25 households, electricity is used for heating. By multiplying by 20,000. You'll receive 3,360. In light of this, the 2000 census indicates that 3,360 out of 12,000 houses use electricity for heating.

Because we've already done it 7 out of every 25 residences are heated by electricity, according to the 2000 U.S. census.At this rate, we must determine how many residences in a 12000-person neighbourhood would be heated by electricity.Let x be the number of homes in a neighbourhood that would be heated by electricity.There being a direct variation

The result is that , A neighbourhood of 12000 people with 3360 dwellings that use electricity for heating. In 7/25 households, electricity is used for heating. By multiplying by 20,000. You'll receive 3,360. According to the 2000 Census, 3,360 dwellings out of 12,000 are heated by electricity.

[tex]$\frac{7}{25}=\frac{x}{12000}$[/tex]

[tex]$x={7 \times 12000}/{25}$$x=3360$[/tex]

As a result, 3360 households out of the 12000 in the community use electricity for heating.

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Given that ON = [tex]x^{2}[/tex] - 10; LM = -2x + 5; NM = 3x + 21; and OL = 4y + 18; with x and y values of [tex]\sqrt{10}[/tex] and -4.5, respectively.

ON = [tex]x^{2}[/tex] - 10 ⇒  [tex]x^2[/tex] = 10 ⇒ x =[tex]\sqrt{10}[/tex]

OL = 4y + 18 ⇒ 4y =-18 ⇒ y = -18/4 ⇒ -4.5 .

The issue at hand is here A parallelogram of O N M L is nm. Suppose   ON = [tex]x^{2}[/tex] - 10 or LM = -2x + 5. Here, we must determine what X's value is. then look up N M N O L. Due to the parallelogram shape of ONA male, there are four.

Since N M is equal to the opposing sides of a parallelogram and an e parallelogram, we can express that as follows. due to the parallelogram's equal opposite sides. We can therefore write [tex]x^{2}[/tex] - 10 where N M = O L. that is four, -2x + 5, and. Change the two sides of the equation, then write four. Nine times X is equivalent to [tex]x^{2}[/tex] - 10.

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Based on the data, the statement that is most likely correct is D. In Grade 9, 18% of students liked running.

The ratio (fraction or proportion) of the number of times a data value appears in the set of all outcomes to the total number of outcomes is known as the relative frequency.

From the information, the Dean collected data on the favorite sports of the students of two grades.

Here, the table shows the relative frequencies of rows for the data collected:

Swimming      Running Volleyball Row     totals

Grade 8          0.17       0.24              0.05     0.46

Grade 9           0.14       0.18             0.22      0.54

Column totals 0.31      0.42              0.27        1

In the table, Grade 9, 18% of students liked running. This is Illustrated above. The correct option is D.

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A domain has [-1, 1]

Now, According to the question:

Let's know:

How do you find the domain?

Let y = f(x) be a function with an independent variable x and a dependent variable y. If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

A square root with a negative number under the root cannot produce a real number. This means that [tex]1-x^2[/tex] must be greater than or equal to zero.

Squaring a real number will always produce a positive number, so [tex]x^{2}[/tex]must be equal to or smaller than 1. This means x is between 0 and 1, giving the domain of [0,1].

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The complete question is this ;

What is the domain of [tex]\sqrt{1-x^2}[/tex]

The equation of line in slope intercept form is,

⇒ y = x - 2

When the graph is shift down 9 units.

Then, Equation of line become,

⇒ y = x - 11

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (2, 0) and (0, -2).

Now,

Since, The equation of line passes through the points (2, 0) and (0, -2).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 2 - 0) / (0 - 2)

m = - 2 / -2

m = 1

Thus, The equation of line with slope 1 is,

⇒ y - 0 = 1 (x - 2)

⇒ y = x - 2

And, When the graph is shift down 9 units.

Then, Equation of line become,

⇒ y = x - 2 - 9

⇒ y = x - 11

Therefore, The equation of line in slope intercept form is,

⇒ y = x - 2

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i thinj the answer is 2-1

The number of hours that the team trains per week is 17 hours.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since the swim tea spends 1/2h in the gym followed by 1 1/4 in the pool. On Saturday there is no gym work but double the swim team time. The number of hours will be:

( 1 1/4 + 1/2 + 2 1/2) × 4

= 4.25 × 4

= 17 hours.

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Answer:

s = 11.cm

Θ = 2.2.radians

Step-by-step explanation:

The scale factor of dilation explains how the size of the figure has changed. An expansion has a scale factor of x > 1 (greater than 1).

A reduction is a scale factor that is 0 <1 (higher than 0 but less than 1).

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size.

A dilatation that results in a reduction (imagine shrinking) or an expansion (think stretching) produces a smaller or bigger picture, respectively.

The picture is reduced if the scale factor is between 0 and 1.

The picture is an enlargement if the scale factor is larger than 1.

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No, Misha is not correct in her statement that the equation will be positive.

A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples, or 2-length sequences.

No, Misha is not correct. The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. A line can cross the x-axis before it crosses the y-axis, and the values of m and b in its equation can still be either positive, negative or zero.

For example, a line with the equation y = -2x + 1 will cross the x-axis at x = 1/2 and y-axis at (0,1) , so it crosses x-axis first but both m and b have negative values (-2 and 1 respectively).

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On solving the provided question, we can say that - here in graph Between the lowest number, which is 0, and the highest value, which is 5, there is a range. The range is therefore -9=y=5.

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

There is a range between the minimum value, which is 0, and the greatest value, which is 5. Thus, the range is -9=y=5.

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The AROC is 3 for the interval 2 < x < 5, which is the correct answer that would be option (A).

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

The table is given in the question as follows:

x          y

0         -2

1         -3

2         0

3         3

4         6

5         9

We have to determine the Average Rate of Change in the table below for the interval 2 < x < 5

As per the given table, the required AROC would be as:

⇒ (9 - 3)/(5-3)

⇒ 6/2

Apply the division operation, and we get

⇒ 3

Hence, the correct answer would be option (A).

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Therefore, F = c * M1 * M2 / d^2 when the force F of attraction between two bodies varies jointly as the weights of the two bodies and inversely as the square of the distance between them using the C constant.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

Direction is characterized as the course that anything follows, the route that must be taken to go to a certain location, the direction in which something is beginning to take shape or the direction you are facing.

F = c * M1 * M2 / d^2

Where,

F is the force of attraction,

M1 and M2 are the weights of the two bodies,

d is the distance between the two bodies,

and c is the proportionality constant.

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The equation of a circle is (x+3)² + (y+5)² = 4² with a center at (-3,-5).

The equation of a circle with center (h,k) and radius r is :

r² = (x−h)² + (y−k)²

The center is approximated to lie at the position (-3,-5) in the graph below with the axes of symmetry. The points of intersection of the circle with any of the two axes (broken lines) provide a diameter of around 8 units, and so the radius is half the diameter, which is 4 units.

The equation of the circle whose graph is given below is:

(x+3)² + (y+5)² = 4²

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The median number of hurricanes per year reaching the East Coast from 1944 through 2000 is two.

Median number is the middle value of a set of numbers. It is the number found at the midpoint of a sorted data set, when all the numbers are arranged in numerical order from lowest to highest. The median number is used to determine the average of a set of numbers, and is often used to represent the central tendency of the data. To calculate the median, first arrange the numbers from lowest to highest, then locate the middle value. If there is an even number of values, the median is the average of the two middle numbers.

This is calculated by taking the middle value of the data set. In this case, there were 18 years with one hurricane, 16 years with two hurricanes, 13 years with three hurricanes, and six years with four hurricanes. Thus, the median number of hurricanes in this data set is two.

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Answer:

x > -5

( -5, ∞)

Step-by-step explanation:

6 - 11x < 61

Subtract 6 from both sides

-11x < 55

Divided both side by -11. When divided by a negative number the < switch to >

So, the answer is

x > -5

Or

(-5,  ∞)

largest possible value of $m$ is  x=5, y =3, 10*5+3=53: 3 x 5 x 53 =795

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The difference between the two polynomials (9x²+8x)-(2x²+3x) is 7x²+5x.

A polynomial is a mathematical statement made up of indeterminates and coefficients that solely includes the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and includes only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Here,

The difference between the two polynomials (9x²+8x)-(2x²+3x) is 7x²+5x.

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Answer:

Step-by-step explanation:

1) 6.2

2)12.4

3) 18.6

Answer:

I think it would be 10 inches but I am not sure