the​ _______ is a number that measures the strength of the linear association between two numerical variables.

8 fluid ounces are in one serving is the required fluid ounces in one serving.

Given that,

There are 8 fluid ounces in a cup, how many fluid ounces are in one serving is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

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,

There are 8 fluid ounces in 1 cup and in a serving of one cup there will be 8 fluid ounces.

Thus, 8 fluid ounces are in one serving is the required fluid ounces in one serving.

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Inverse trigonometric integrals involve inverse trigonometric functions and are used to evaluate integrals containing trigonometric functions and their derivatives

Inverse trigonometric integrals are a group of integrals that include inverse trigonometric functions like arcsine, arccosine, and arctangent. These functions are utilized to assess integrals that include expressions containing trigonometric functions and their derivatives.

Inverse trigonometric functions are the Inverse of their respective trigonometric functions and can be utilized to find the point that compares to a given ratio of sides in a right triangle. Inverse trigonometric integrals are generally experienced in analytics and are helpful in different fields like physics, engineering, and statistics. They are ordinarily assessed utilizing algebraic manipulation, substitution, and integration by parts

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Volume of Cone B is 48 π³ units. We know both cones have same volume because we used the volume formula for cones to equate the volumes of the two cones.

To find the dimensions of Cone B, we need to use the formula for the volume of a cone, which is:

Volume=(1/3) × π × radius² × height

Since the volume of Cone A and Cone B are the same (48 π³ units), we can set up the following equation:

(1/3) × π × 6² × 4

=(1/3)× π × r² × h

Simplifying the equation, we get:

r² × h = 72

We can choose any values of r and h that satisfy this equation. For example, we could choose r = 4 units and h = 9 units. When we enter these numbers into the equation, we obtain:

4² × 9 = 72

This is a valid solution, as Cone B with radius 4 units and height 9 units would have a volume of: Volume = (1/3) × π × 4² × 9 = 48 π³ units

Therefore, Cone A and Cone B have the same volume of 48 π³ units, which we know because we used the volume formula for cones to equate the volumes of the two cones.

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Answer:

Yes, 23 is a prime number, because its only factors are 1 and itself.

The value of p(10) we get as  123.

What is Quadratic polynomial ?

A quadratic polynomial is a polynomial of degree 2, which means that it is a polynomial expression in one variable (usually written as x) that contains only terms of the form ax² + bx + c, where a, b, and c are constants. The highest exponent of the variable x in a quadratic polynomial is 2.

We are given a table of values for the quadratic polynomial p. Since p is a quadratic polynomial, it can be written in the form:

p(x) = ax² + bx + c

where a, b, and c are constants.

To find the value of p(10), we need to substitute x = 10 in the above equation and simplify:

p(10) = a(10)² + b(10) + c

p(10) = 100a + 10b + c

We don't know the values of a, b, and c, but we can use the values in the table to set up a system of equations.

From the table, we can see that:

p(0) = c = 3

p(1) = a + b + c = 6

p(2) = 4a + 2b + c = 11

Solving this system of equations, we get:

a = 1

b = 2

c = 3

Therefore, the quadratic polynomial p is:

p(x) = x² + 2x + 3

To find p(10), we substitute x = 10 in the above equation:

p(10) = (10)² + 2(10) + 3

p(10) = 100 + 20 + 3

p(10) = 123

Therefore, the value of p(10) is 123.

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Answer:

Step-by-step explanation:

b

The range of the parabola will be y ≥ 6.

Given is that a graph of a parabola opens up and the minimum point is located at (-3, 6).

Therefore, the range of the parabola will be y ≥ 6.

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The total area under the frequency polygon for a continuous random variable equals 1 is True.

A frequency polygon is very similar to a histogram, which is used to compare data sets or to depict a cumulative frequency distribution. A line graph is used to show quantitative data.

Statistics is concerned with the collecting of facts and information for a certain goal. The computation of each run for each ball in cricket provides game statistics. Tables, graphs, pie charts, bar graphs, histograms, polygons, and other graphical representations of statistical data are employed.

Frequency polygons are a visually appealing way of expressing quantitative data and frequency distributions. Let's look at how to draw a frequency polygon.

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The difference in the means is times the ranges. (19-9)/(24-7)=10/17 = 0.588235294, or slightly more than half a time the ranges of the two samples.

Height is the measure of vertical distance, either how "tall" something or someone is, or how "high" the point is. For example, a person's height is typically measured using a stadiometer and is recorded in centimeters or feet and inches. The height of a mountain is usually measured in meters or feet. In aviation, height is measured from the surface of the earth, either above ground level (AGL) or above mean sea level (AMSL).

This means that the mean of the sun plants is more than half a time the range of the two samples larger than the mean of the shade plants.

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Answer:

An isosceles triangle has sides of length xcm and 9cm.It perimeter is less than 24cm and x is a whole number.

find the lowest value of x

highest value of x

Answer:

I'll let you figure it out.

Step-by-step explanation:

A. First you separately take each of the two fractions and you multiply both sides to get the same denominator (bottom half of the fraction) for the two fractions, and then you combine the numerators (top half of the fraction) together while keeping the same denominator (simplify if needed). That's the fraction of students who don't walk home (answer for B). Then change the numerator to the (denominator - the numerator), and keep the same denominator, then simplify if needed (answer for C). This whole paragraph is the answer for A (but write it as your own words if you can).

The converted value of Celsius to degrees Fahrenheit using the standard formula is 48 degrees Celsius equals to 118.4 degree Fahrenheit.

Scale factor using which we relate the two units of the temperature Celsius and Fahrenheit is equal to :

(°C × 9/5) + 32 =°F

Now , to get the value of 48 degree Celsius and converted value into Fahrenheit by applying the above formula we have,

(48°Celsius × 9/5) + 32

= ( 432 / 5 ) + 32

= ( 86.4 ) + 32

= 118.4°Fahrenheit

Therefore, the converted value from degrees Celsius to Fahrenheit for the given temperature 48 degrees Celsius is equivalent to  118.4 Fahrenheit.

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A quart contains 32 ounces. This is true for both dry and liquid ounces.

In the United States, the conventional system of measurement—in which dry measurements are reported in weight ounces and volume measurements are given in fluid ounces—is frequently employed. Four cups, two pints, or 32 fluid ounces make up a quart.

It's crucial to keep in mind that the density of a component might affect how much an ounce weighs when weighing dry ingredients.

For instance, due to the difference in their densities, one fluid ounce of flour will weigh less than one fluid ounce of sugar. Nonetheless, regardless of the density, each fluid ounce has a standard weight when measuring volume using fluid ounces.

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The question is -

what are ounces in a quart?

(1, -1) is the required point of intersection of the lines

The equation of a line in slope intercept form is expressed as y = mx + b

where

m is the slope of the line

b is the y-intercept of the line

Given the following equations of the line y = -3x + 2 and y = 2x - 3, the point where the line intersects will be the solution to the given equations as shown in the graph attached.

Hence the solution to the given equation by graphical method is (1, -1)

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Step-by-step explanation:

is mentioned above.. If you get some knowledge or liked it.please rate the answer

Answer:

x = -2

x = 3

The two x's resemble to roots of the parabola.

Step-by-step explanation:

In the following, I uploaded an image with the steps to the equation.

The group which  purchases roughly 85% of all valentine’s day cards is women.

The annual celebration of Valentine's Day, also called  Saint Valentine's Day or the Feast of Saint Valentine, takes place on February 14 every year. It was observed as a Christian holiday in memory of Valentine, a martyr. In various parts of the world, it has developed into a huge cultural and a celebration of romance and love thanks to later folk traditions.

Valentine's Day is commemorated on February 14 by a many of martyrdom tales, including one about Saint Valentine of Rome's captivity in the third century for helping Christians who were persecuted by the Romanion Empire;

We are given that;

The group percentage which purchases valentine’s day cards=85%

Now,

Women tend to buy approximately 85% of all the Valentine`s Day cards sold. Valentine`s Day is the second most popular day of the year for sending cards, second only to Christmas.

Therefore, women by card on valentine day;

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Option A) "Cannot be negative" is a correct statement about the F distribution. The F distribution is a probability distribution that is used in statistical hypothesis testing to compare the variances of two populations.

The assertion "cannot be positive" about the F distribution is erroneous. The F distribution can only accept positive values and cannot accept negative values; however, it can accept values greater than zero.

"Is the same as the t distribution" is an error. When the sample size is small or the population standard deviation is unknown, the t distribution is employed for testing hypotheses regarding the population mean.

"Is the same as the z distribution" is similarly erroneous. When the population standard deviation is known and the sample size is large, the z distribution is employed as a probability distribution.

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Answer: 43.2 minutes or 43 minutes and 12 seconds

Hi there, so first step I would do is to state the area of a cylinder which is 2πrh+2πr^2

Next step, I would place the value into the equation, so for the first pool, it is as follows: 2 x π x 20 x 5+2 x π x 20^2 which is = 1000π

which means 1000π = 50 minutes so each minutes must be equals to 20π

Then fit in the values for the second pool

2 x π x 18 x 6 + 2 x π x 18^2 = 864π

Then divide 864π by 20π to get how many minutes

The answer is equal to 43.2 minutes

Hope this helps

The scale Giselle used to create the scale drawing of the school cafeteria is 1 inch : 8 feet.

Length is a measure of dis dancer size it can be measured in a variety of waste including inches sentiment of metres feet miles and more. Playing these an important concept mathematics science engineering and many others build it is used to calculate the dimensions of this area and more it is also used to measure the time it takes to travel A certain distance link this and important concept that is used to measure and compare objects.

To answer this question, we can use the ratio of the length of the cafeteria in the scale drawing compared to the actual length of the cafeteria. The ratio is 11 inches : 88 feet. We can simplify this ratio to 1 inch : 8 feet. Therefore, the scale Giselle used to create the scale drawing of the school cafeteria is 1 inch : 8 feet.

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The golf ball is a sphere with a curved surface area of 57.217 sq cm. The number of dimples per sq. cm on the ball is D) 5.872.

In geometry, a sphere is a three-dimensional geometric shape that is perfectly symmetrical and round in shape. It is a set of points in space that are equidistant from a fixed center point. The surface of a sphere is made up of all the points that are at an equal distance, known as the radius, from the center.

Let's assume that the radius of the golf ball is r cm.

Given that

the circumference of the golf ball = 13.408 cm

2πr = 13.408

r = [tex]\frac{13.408}{2\Pi}[/tex]

r = [tex]\frac{13.408}{2\times3.142}[/tex]

r = 2.134 cm.

The radius of the sphere is 2.134 sq. cm.

The curved surface area of the sphere is 4πr².

CSA = 4πr²

CSA = 4 × 3.142 × 2.134²

CSA = 57.217 sq cm.

It is also given that there are 336 dimples on its surface.

Number of dimples per sq. cm = [tex]\frac{Total\ dimples\ on\ ball}{CSA}[/tex]

                                                   [tex]= \frac{336}{57.217} \\= 5.872[/tex]

Hence, there are 5.872 dimples per square centimeter on the surface of a golf ball.

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the sample data supports the claim that the politician's chance of being elected is less than 70%.

To test whether the politician's claim is valid, we can perform a hypothesis test using the null hypothesis that the true probability of the politician being elected is 0.7 and the alternative hypothesis that the true probability is less than 0.7.

Let p be the true probability of the politician being elected. We have:

Null hypothesis: H 0 : p = 0.7

Alternative hypothesis: H a : p < 0.7 (one-tailed test with alpha = 0.05)

We can use the sample proportion, denoted by p, to estimate the true proportion p. The test statistic for testing the above hypotheses is given by:

z = (p - p) / √(p×(1-p)/n)

where n = 500 is the sample size. Under the null hypothesis, the test statistic follows a standard normal distribution. Using the given sample proportion p = 0.6, we can compute the test statistic as follows:

z = (0.6 - 0.7) / √(0.7×(1-0.7)/500) = -3.05

The corresponding p-value for this test statistic is P(Z < -3.05) = 0.0012 (using a standard normal distribution table or calculator).

Since the p-value (0.0012) is less than the significance level (0.05), we reject the null hypothesis and conclude that there is sufficient evidence to suggest that the true probability of the politician being elected is less than 0.7. In other words, the sample data supports the claim that the politician's chance of being elected is less than 70%.

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This is the set of all real numbers except those between -8 and 4 (inclusive), since the absolute value of y+2 cannot be greater than 6 if y is between -8 and 4.

In mathematics, inequalities specify the connection between two non-equal values. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values are not equivalent. But various inequalities are used to compare the values, whether it is less than or larger than.

First, we can simplify the left side of the inequality by distributing the absolute value:

8|y+2| - 3 > 45

8|y+2| > 48

Then, we can isolate the absolute value by dividing both sides by 8:

|y+2| > 6

This inequality means that $y+2$ must be either greater than 6 or less than -6:

$$ y+2 > 6 \text{ or } y+2 < -6 $$

Simplifying each of these inequalities, we get:

y > 4 or y < -8

Therefore, the solution set for this inequality is:

[tex]$$ \boxed{(-\infty, -8) \cup (4, \infty)} $$[/tex]

This is the set of all real numbers except those between -8 and 4 (inclusive), since the absolute value of y+2 cannot be greater than 6 if y is between -8 and 4.

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Answer: When you can do it with no outside help

Step-by-step explanation:

If you can do something without needing help or looking at your notes that probably means you understand the concept

Answer:

Step-by-step explanation:

If you understand how to solve and can solve an example math problem without help or mistakes, you probably know the concept.

The correct statement regarding the impact of the mass increase in the mean and median are given as follows:

The mean will increase, and the median will stay the same.

The mean of a data-set is given by the sum of all the observations in the data-set divided by the number of observations in the data-set.

Hence, if one observation is increased, the sum of all the observations also increases, and thus the mean of the data-set increases.

The median of a data-set is the middle value of the data-set, the value which 50% of the measures are less than and 50% are greater than.

The data-set in this problem has an odd cardinality of 5, meaning that the median is the third element of the data-set, which is not affected by the weight of the heaviest elevant, and thus the median remains constant.

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The solution for these discrete mathematics questions will be: a) No. The element d is in two of the sets. B) Yes C) No. The element 4 is in two of the sets. D) No. None of the sets contains 6. E) a) no b) yes

The study of mathematical structures that are discrete rather than continuous (it's similar to discrete variables and having a bijection with the set of natural numbers) is known as discrete mathematics. Graphs, integers, and logical statements are among the objects studied in discrete mathematics.

Both finite and infinite sets of objects can be studied in discrete mathematics. Some areas of discrete mathematics that deal with finite sets, especially those that have a bearing on business, are referred to as "finite mathematics" at times.

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Note that the full question is:

a) Is {{a, d, e}, {b, c}, {d, f}} a partition of {a, b, c, d, e, f }?

Yes or No

(b) Is {{w, x, v}, {u, y, q}, {p, z}} a partition of {p, q, u, v, w, x, y, z}?

Yes or No

(c) Is {{5, 4}, {7, 2}, {1, 3, 4}, {6, 8}} a partition of (1, 2, 3, 4, 5, 6, 7, 8}?

Yes or No

(d) Is {{3, 7, 8}, {2, 9}, {1, 4, 5}} a partition of {1, 2, 3, 4, 5, 6, 7, 8, 9}?

Yes or No

(e) Is {{1, 5}, {4, 7}, {2, 8, 6, 3}} a partition of {1, 2, 3, 4, 5, 6, 7, 8}?

Yes or No

Answer:

You selected the correct answer.

Step-by-step explanation:

The indicated function values are If x = 0, then f(0) = 2,
If f(x) = 0, then x = - 1

To evaluate f(0), locate the point on the graph where x will be equal to '0' then find out the y-coordinate of that point where the value of f(0) will be equal to f(0).

Similarly, to find the x at f(x) = 0, take the y-coordinate as 0 and find the corresponding x - coordinate.  

Here we have

A graph that shows the function f(x)  

Given  x = 0  then f(0) will be equal to the y - coordinate at x = 1  

=> If x = 0 then f(0) = 2        

Given f(x) = 0 then x will be equal to the x - coordinate at y = 0

=> If f(x) = 0 then x = - 1    

Therefore,

The indicated function values are If x = 0, then f(0) = 2,
If f(x) = 0, then x = - 1

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Answer:

1. 2.25

2. -1

Step-by-step explanation:

right on edge

To find all real solutions of the equation 8x²3 - 27x²2 - 50x + 75 = 0, we can factor it by grouping

How to do that?

8x²3 - 27x²2 - 50x + 75 = 0

=> (8x²3 - 50x) - (27x²2 - 75) = 0

=> 2x(4x²2 - 25) - 3(9x²2 - 25) = 0

=> (2x - 3)(4x²2 - 9x + 15) = 0

Using the quadratic formula to solve the quadratic factor, we get:

4x²2 - 9x + 15 = 0

=> x = [9 ± sqrt(81 - 4(4)(15))] / (2(4))

=> x = [9 ± sqrt(-191)] / 8

Since the discriminant of the quadratic factor is negative, it has no real roots, and therefore, the only real solution of the equation is:

x = (2x - 3) = 0

=> x = 3/2

Therefore, the only real solution of the equation 8x²3 - 27x²2 - 50x + 75 = 0 is x = 3/2.

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A number from 1 to 20 is any integer between 1 and 20, inclusive of both endpoints. A number from 1 to 20 can be any integer between 1 and 20, inclusive.

The set of numbers from 1 to 20 includes 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, and 20. This set of numbers is commonly used in a variety of contexts, such as in statistics, probability, and mathematics. For example, when rolling a fair six-sided die, the probability of rolling a number from 1 to 20 is 1, since there are no numbers on a six-sided die that are greater than 6.

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Answer:

see explanation

Step-by-step explanation:

(a)

the sum to infinity of a geometric progression is

S∞ = [tex]\frac{a_{1} }{1-r}[/tex] : | r | < 1

where a₁  is the first term and r the common ratio

here a₁ = 20 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{16}{20}[/tex] = [tex]\frac{4}{5}[/tex] = 0.8

S∞ = [tex]\frac{20}{1-0.8}[/tex] = [tex]\frac{20}{0.2}[/tex] = 100

(b)

the sum to n terms of an arithmetic progression is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 20 , d = a₂ - a₁ = 16 - 20 = - 4 and [tex]S_{n}[/tex] = - 160

substitute values into formula and solve for n

[tex]\frac{n}{2}[/tex] [ (2 × 20) - 4(n - 1) ] = - 160 ( multiply both sides by 2 to clear the fraction )

n(40 - 4n + 4) = - 320

n(- 4n + 44) = - 320

- 4n² + 44n = - 320 ( add 320 to both sides )

- 4n² + 44n + 320 = 0 ( divide through by - 4 )

n² - 11n - 80 = 0 ← in standard form

(n - 16)(n + 5) = 0 ← in factored form

equate each factor to zero and solve for n

n - 16 = 0 ⇒ n = 16

n + 5 = 0 ⇒ n = - 5

now n > 0 , then n = 16

there are 16 terms in the arithmetic progression