find the average speed of a world-class sprinter (to the nearest tenth) if he runs 100 yards in 10 sec

according to the question,

given data in the question,

the type of rigid transformation is the equivalent of two across intersecting lines

Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.

The intersection of the two reflection lines is the center of rotation.

An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.

The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation

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The type of transformation that is equivalent to 2 reflections across intersecting lines is rotation

A slide or a shift is a translation. By executing two composite reflections along parallel lines, translations may be produced. Translations maintain orientation and are isometric.

An isometry is made up of two other isometries. The translation is equal to the combination of two reflections over two parallel lines.

according to the question,

the type of rigid transformation is the equivalent of two across intersecting lines

Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.

The intersection of the two reflection lines is the center of rotation.

An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.

The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation

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Number of games did Carly NOT play is 22.

How to calculate percentage?

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given:

Total number of games = 40

It is given that  she had played in 45 percent of the 40 games the team played.

Number of games she played = 45% of 40

                                                 = [tex]\frac{45}{100}\times 40= 18[/tex]

Number of games she did not play = 40 - 18 = 22

Therefore, number of  games did Carly NOT play is 22.

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The method to find the range of the graph without graphing is explained below .

In the question ,

we have to explain how can we find the range of the graph without graphing .

we know that the Range of the function is the set of all its outputs.

let us understand it with the help of example .

So ,let y = 2-√(-3x+2) ,

we know that the result of the root function is always non negative ,

So , √(-3x+2) ≥ 0,

Multiply with -1 on both the sides ,

we get ,

-√(-3x+2) ≤ 0

Adding 2 to both sides

2 - √(-3x+2) ≤ 2

y ≤ 2

So ,the range will be (-∞ , 2] .

Therefore , the process to find the range is explained above .

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The joint probability density function of the sample is 1

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

Every Xi has distribution as shown below:

f(xi) = 1, 0<xi<1

When all Xis are independent, then the following is true.

f(x1,x2,x3,x4) = f(x1) f(x2) f(x3) f(x4)

                     = 1,  for all xi between 0 and 1

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If the raisin swells to twice its original size, relative to the water, the raisin must have been hypertonic solution.

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The best predicted value given that a person has an IQ of 91 is 94.03.

Here, we are given that-

sample size n = 20

sample mean for the independent value x = 100.39

sample mean for the dependent value y = 103.6

coefficient of correlation r = 0.925

The general expression for representing a linear model is given by-

y = β₀ + β₁x

where β₀ is the intercept and β₁ is the slope

For the above given case, the linear model will be given as-

y = -3.34 + 1.07x

where -3.34 is the intercept and 1.07 the slope.

To find the best predicted value when X = 91, we substitute the value of x as 91 in the equation as follows-

y = -3.34 + 1.07(91)

y = 94.03

Thus, the best predicted value given that a person has an IQ of 91 is 94.03.

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The four types of the slope of a line are positive, negative, zero, and undefined also known as infinite slope.

A line that is growing when seen from left to right has a positive slope.

A line that is declining when seen from left to right has a negative slope.

When seen from left to right or the other way around, a line with a zero slope is neither increasing nor decreasing. The slope of a horizontal line is zero, to put it simply.

The line is neither moving left nor right, as in the case of a vertical line, if the slope is undefined or infinite. A vertical line's slope might be either + ∞ or - ∞.

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41 customers ordered their pizza with pepperoni or sausage (or both).

What is customer?

Customer is an individual or organization who buys goods or services from another. Customers are essential to businesses, as they are the ones that provide the revenue needed to keep the business running. Customers are the lifeblood of any business and are the ones who determine its success or failure. Customers can be internal, such as employees, or external, such as retailers or other businesses. Companies must strive to understand their customer’s needs, wants and preferences in order to keep them satisfied and coming back for more. Companies must also be aware of customer trends, preferences and behaviour to stay competitive. Companies can use customer feedback to improve their products and services, as well as their customer service. Finally, companies must ensure that their customers receive good value for their money, as well as excellent customer service.

This is calculated by adding the number of customers who ordered their pizza with just pepperoni (12) and the number of customers who ordered their pizza with just sausage (19) and the number of customers who ordered their pizza with pepperoni and sausage (13).
12 + 19 + 13 = 41.

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Answer:

Scale factor = 1/2

Step-by-step explanation:

Explanation:

    A scale factor is a number you multiply the dimensions of a shape by to get the image. Because figure B has half the length and width, we can conclude the scale factor is 1/2.

An equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit can be determine and it will be:  [tex]C = \frac{F - 32}{95}[/tex].

What is temperature?

The degree to which an object is hot or cold is measured by its temperature.

Formula to calculate temperature in degrees Fahrenheit:

F = 95C+32   --- (1)

The given equation (1) can be used to determine the equation to calculate the temperature in degrees Celsius for a given temperature in degrees Fahrenheit.

To determine equation for degrees Celsius following steps can be used:

Subtract 32 from both sides of the above equation,

F - 32 = 95C + 32 - 32

F - 32 = 95C

95C = F - 32

Divide both sides by 95

C = (F - 32)/ 95

Hence, by using some arithmetic operations, equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit can be determine and it will be:  [tex]C = \frac{F - 32}{95}[/tex].

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Answer:

inverse

Step-by-step explanation:

ed 2023

The two numbers are 3 and 12 when 15 is the result of sum two numbers. One to two are compared in a 4:1 ratio.

Given that,

15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.

We have to find which two numbers are they.

We know that,

Let take x and y to denote the two numbers

We get

x + y = 15   ----->equation(1)

x = 4y        ----->equation(2)

Substitute the 4y in equation(1)

(4y) + y = 15

5y = 15

Divide both sides by 5

y = 3.

Substitute y=3 in equation(2)

x=4(3)

x = 12

Therefore, The two numbers are 3 and 12 when 15 is the result of adding two numbers. One to two are compared in a 4:1 ratio.

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Answer:

(21-2x)/12

Step-by-step explanation:

15/5+1/2x(-4/7)=

15/5+x/2(-4/7)=

3+(-4/7)x/2=

3-(4/7)x/2=

3-(4x/(7*2))=

3-(4x/14)=

(3-4x/14)*14/14=

42/12 - 4x/14 =

(42-4x)/14=(21-2x)/12

The degrees of freedom for the critical value F are (k-1,n-k).

Assume there are 4 sample groups, i.e.

k=4.

Also suppose that each of the four groups contains five observations.

So,

n=4*5

n=20

critical value F has degrees of freedom

(k-1,n-k)

( 4-1:20-4)

(3: 16).

Therefore , the degrees of freedom for the critical value of F is (3.16).

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Answer:72 lol

Step-by-step explanation: do the math 6 x 2 = 12

6 x 12 = 72

Answer:

7, 14,21 28

4,8,12,16

Step-by-step explanation:

Answer:

8, 21, 16

Step-by-step explanation:

The ratio from sugar to cups is 7:4, which is 1.75.

Divide and multiply to solve.

14 / 1.75 = 8

12 * 1.75 = 21

28 / 1.75 = 16

Answer:

[tex](0,-1)[/tex]

Step-by-step explanation:

[tex]\left(\frac{-9+9}{2}, \frac{5-7}{2} \right)=(0, -1)[/tex]

The equation of a line in two-dimensional space is typically given in the form y is mx + b.

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The values of u and v of the given triangles using HL Congruency postulate are;

u = 8 and v = 7

There are different congruency postulates for triangles namely;

SSS which means Side - Side - Side Congruency

SAS which is Side Angle Side Congruency Postulate. The angle is the included angle.

ASA which is Angle Side Angle Congruency Postulate. The side is the included side.

AAS Congruency Postulate. This is Angle Angle Side and the side is the non-included side. The angle is the included angle.

HL Congruency postulate which is Hypotenuse Leg theorem.

Now, we are given two triangles with 2 given sides each and the non - included angle. Thus, this is the Hypotenuse Leg congruency theorem.

Therefore for both triangles to be congruent;

5u = u + 32

4u = 32

u = 8

Similarly;

v + 7 = 2v

2v - v = 7

v = 7

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The distance between you and your friend changing is 20 MPH for the bike riding.

Let x be the distance you've got got traveled, y be the space your buddies has traveled, and z be the space among you and your pal. From the hassle it's far obvious that dxdt is 16 mph and dydt is 12 mph.

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Answer of the following questions as per the given sample and confidence interval are:

As given in the question,

Number of teens smoking cigarette = 92

Sample size 'n' = 1582

Sample statistic = 92 / 1582

                          = 0.058

Standard error = √ p ( 1 - p ) / n

                          = √ 0.058 ( 1 - 0.058 ) / 1582

                          = √0.0000345

                          = 0.0058

                          = 0.006

z-score for 99% confidence interval = 2.576

margin of error = z ×√ p ( 1 - p )/n

                         = 2.576 √ 0.058 ( 1 - 0.058 ) / 1582

                         = 2.576 × 0.006

                         = 0.0155

                         = ±0.016

lower bound = 2.576 - 0.016

                     = 2.56

Upper bound = 2.576   + 0.016

                      = 2.592

Therefore, for the given samples and confidence interval answer of the following questions are:

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There are 2times 64 in 151. The answer you divide 151 by 64 which would get you 2.359375. The remainder is 23

none

Step-by-step explanation:

64 is a bigger number so unless I am wrong it should not be able to go into 51.

The rate at which the height of the tank is increasing when there is 10 feet of water in the tank is 2.75 ft/sec .

In the question ,

it is given that ,

the height of the conical tank is =18 feet ,

the radius of the tank is = 6/2 = 3 feet .

the rate at which the water is flowing is = 24 cubic feet per second .

that is dv/dt = 24 .

the ratio of height and radius is

h/r = 18/3

h/r = 6

r = h/6

we know that the Volume of Conical tank is = (πr²h)/3

On substituting r = h/6 and differentiating with respect to time "t" ,

we get ,

dv/dt = (π/108)×3×h²×dh/dt

substituting the value of h = 10 and dv/dt = 24 ,

we get ,

24 =  (π/108)×3×10²×dh/dt

dh/dt = (24 * 36)/100π

= 2.7501

≈ 2.75 ft/sec .

Therefore , the rate of change of the height of the tank is 2.75 ft/sec .

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Answer:

The values that are solutions to K-3 >-2 are -7 and -5. To solve this inequality, we need to isolate the K term on one side of the inequality. We can do this by subtracting 3 from both sides of the inequality, like this:

K - 3 > -2

K - 3 - 3 > -2 - 3

K > -5

Therefore, the solutions to the inequality K-3 >-2 are all values of K that are greater than -5. This means that the values -7 and -5 are solutions to the inequality, but the other values listed are not.

Step-by-step explanation:

An inclined plane of length 8 m is used to lift the load 2 m, using the same effort.

A ramp that helps lift and lower heavy things is called an inclined plane. It is a flat surface that is positioned against a horizontal surface at an angle other than a right angle.

Work is defined as the use of force to move an object over a distance. It is derived as the product of displacement (d) and force (F). Work is given by W = F×d = 25 N×d.

When a body is lifted, we can express work as W = m×g×h where g is gravity and h is height. And the force is written as F = m×g where m is the mass of an object. Then, W = F×h

Calculating the work done to lift the load to 2 m, we get,

W = 100 N×2 m = 200 Nm.

Substitute this value in W = F×h, we get,

200 Nm = 25 N×d

Divide both sides by 25 N, and we get,

[tex]\begin{aligned}\frac{\mathrm{200\;Nm}}{\mathrm{25\;N}}&=\frac{\mathrm{25\;N\times d}}{\mathrm{25\;N}}\\d&=\mathrm{8\;m}\end{aligned}[/tex]

The value is 8 m. Therefore, the first statement is correct.

The complete question is -

To lift a load of 100 N a distance of 1 m an effort of 25 N must be applied over an inclined plane of length 4 m. What must be done to lift the load 2 m, using the same effort?

A. Use an inclined plane of length 8 m.

B. Use an inclined plane of length 2 m.

C. Use an inclined plane of length 10 m

D. Use an inclined plane of length 16 m.

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No. The sum of 2 whole numbers is not always less than their product.

A whole number is any positive integer running from 0 to infinity.

When we take up any 2 whole numbers and consider 0 or 1 as one of them, the sum of the 2 whole numbers is ging to be more than the product.

When we consider 1 number to be 0, the sum of the numbers will be the number itself. The product will be 0. Hence the sum is greater than the product.

Example- 0 and 25.

0 + 25

= 25

0 X 25

= 0

0 < 25

If we consider one number to be 1. The product of any number and 1 will be the number itself. Adding 1 to any number will in turn increase it. Hence, the sum is greater than the product.

Example- 1 and 78

1 + 78 = 79

1 X 78 = 78

Hence the sum of two whole numbers is not always less than the product.

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The probability that the person guesses the first 4 first shapes incorrectly but gets the fifth correct is an [tex](\frac{4}{5})^{4}\frac{1}{5}[/tex].

The likelihood that something will happen is called the probability. the total number of conceivable outcomes. Because there is only one way to receive a head and there are a total of two possible outcomes, the probability of flipping a coin and getting heads is 1 in 2. (a head or tail).

given,

You can find out if someone has extrasensory perception (ESP) by asking them to identify which of the following shapes—a circle, star, triangle, diamond, or heart—appear on a hidden computer screen.

The probability is determined by dividing the number of favorable outcomes by the total number of possible outcomes.

p= P(win) = # of favorable outcomes  /   # of possible outcomes

The distribution is geometric since the variable indicates how many trials must pass before a success.

The distribution is geometric since the variable indicates how many trials must pass before a success.

P( X = k ) = [tex]q^{k-1}p[/tex]

=  [tex](1-p)^{k-1} p[/tex]

Review at k=5

P(X=5) = [tex](1-\frac{1}{5})^{5-1}\frac{1}{5}[/tex]

=[tex](\frac{4}{5})^{4}\frac{1}{5}[/tex]

probability that the person guesses the first 4 first shapes incorrectly but gets the fifth correct is an [tex](\frac{4}{5})^{4}\frac{1}{5}[/tex]

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The two requirements that must be satisfied to perform a chi-square test are All Ei>=1  and no more than 20% of the Ei are less than 5.

What is chi-square?

In order to establish if the expected and actual findings are well-fitting, the statistical test known as chi-square compares the differences between categorical variables from a random sample.

For the given equation,

To perform a chi-square test,

All Ei>=1  and no more than 20% of the Ei are less than 5

Hence, these two are the important requirements to carry out the chi-square goodness of fit test.

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Option A is correct, the required simplified value of the x is given as 35.

In triangle DEF, if m∠D = (2x)°, m∠E = (2x − 4)°, and m∠F = (x + 9)°.

for the triangle sum of the interior angles is equal to 180°.

∠D + ∠E + ∠F = 180

2x + 2x - 4 + x + 9 = 180

5x + 5 = 180

5x = 175

x = 35

Thus, the required simplified value of the x is given as 35.

The sum of the measures of the interior angles of a triangle in Euclidean space is continually 180 stages. This reality is equal to Euclid's parallel postulate. This permits the determination of the degree of the 1/3 perspective of any triangle, given the measure of angles. An exterior perspective of a triangle is an attitude that is a linear pair (and subsequently supplementary) to an indoor angle.  

The degree of an exterior perspective of a triangle is the same as the sum of the measures of the 2 indoor angles that aren't adjoining to it; this is the outside perspective theorem. The sum of the measures of the 3 exterior angles (one for every vertex) of any triangle is 360 degrees.

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Answer:

The art class is attended by 211 students, each one with 12 crayons.

Step-by-step explanation:

Total crayons = 2532

If the teacher gives 12 crayons, then:

Total students = 2532/12 = 211