Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is |
%.

Answer:

1) Antonio's statement

2) <A = 123

Step-by-step explanation:

1) Antonio's statement is incorrect. This is because the opposite angles of a quadrilateral add up to 180°. Erin was incorrect because the opposite angles of this quadrilateral are unequal.

2) 2x+7+5x-2 = 180° (opposite angles of quadrilateral)

Now

7x+5 = 180

7x = 175

x = 25

<A = 5x-2

= 5(25)-2

= 125-2

= 123

Answer:

m=2

Step-by-step explanation:

m=y2-y1/x2-x1

m=3-1/1-0

m=2/1

m=2

Answer:

2

Step-by-step explanation:

because i got it right on the quiz

We should use 16 teaspoons of oil to make 28 teaspoons of salad dressing.

The concept used to solve the problem is based on the mathematical concept of ratios and proportions. By setting up a proportion and solving for the unknown quantity, we can determine the amount of oil needed to make the desired amount of salad dressing, based on the given ratio of oil to vinegar.

Since the ratio of oil to vinegar is 4:3, the total number of parts is 4+3=7. To find out how much oil to use to make a total of 28 teaspoons of dressing, you can set up a proportion:

\( \frac{4}{7} = \frac{x}{28} \\ x = \frac{4}{7} \times 28 \\ x = 16\)

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Answer:

Add up all the numbers and divide it by how many numbers there are.

14+19+13+22+7=75

75÷5 =15

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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The value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

In the given table, Tasha observed a pattern in the powers of 4. When the exponent decreases by 1, the previous value is divided by 4. Using this pattern, she determined the values for 4 squared, 4 Superscript 1, 4 Superscript 0, 4 Superscript negative 1, and 4 Superscript negative 2.

To find the value of 4 Superscript negative 3, she divided the previous value (StartFraction 1 Over 16 EndFraction) by 4, resulting in StartFraction 1 Over 64 EndFraction.

Similarly, for 4 Superscript negative 4, she divided the previous value (StartFraction 1 Over 64 EndFraction) by 4, yielding StartFraction 1 Over 256 EndFraction.

Finally, to rewrite the value for 4 Superscript negative 4, she expressed it as negative StartFraction 1 Over 4 Superscript negative 4 EndFraction.

Therefore, the value of 4 Superscript negative 4 is negative StartFraction 1 Over 4 Superscript negative 4 EndFraction, which simplifies to StartFraction 1 Over 256 EndFraction

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Answer:

4 OR 4.5 SECONDS

Step-by-step explanation:

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

Using both the trapezoid rule and Simpson's rule with n = 6 to approximate the arc length of the curve y = e^x^2 for x from 0 to 1,

Trapezoid rule: L ≈ 18.954

Simpson's rule: L ≈ 18.947

To use the trapezoid rule to approximate the arc length of the curve y = e^x^2 for x from 0 to 1, we first need to compute the values of y at the endpoints and the midpoint of each subinterval:

x                            y

0                         1

0.2                      1.221

0.4                      1.648

0.6                      2.718

0.8                      5.522

1                         15.155

Then we can use the trapezoid rule formula:

L ≈ ∆x/2 × [f(x₀) + 2f(x₁) + 2f(x₂) + ... + 2f(xₙ₋₁) + f(xₙ)]

where ∆x = (1-0)/6 = 1/6 and n=6.

Substitute the values, we get:

L ≈ 1/12 × [1 + 2(1.221) + 2(1.648) + 2(2.718) + 2(5.522) + 15.155]

L ≈ 18.954

Now, let's use Simpson's rule with n = 6 to approximate the arc length of the same curve.

To use Simpson's rule, we first need to compute the values of y at the endpoints, the midpoint of each subinterval, and the two quarter-points of each subinterval:

x                                    y

0                                   1

0.2                                1.221

0.4                                1.648

0.6                               2.718

0.8                               5.522

1                                  15.155

x                               y

0.1                             1.048

0.3                            1.352

0.5                            1.959

0.7                            3.036

0.9                            7.261

Then we can use the Simpson's rule formula:

L ≈ ∆x/3 * [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + ... + 2f(xₙ₋₂) + 4f(xₙ₋₁) + f(xₙ)]

where ∆x = (1-0)/6 = 1/6 and n=6.

Substituting the values, we get:

L ≈ 1/3 × [1 + 4(1.048) + 2(1.221) + 4(1.352) + 2(1.648) + 4(1.959) + 2(2.718) + 4(3.036) + 2(5.522) + 15.155]

L ≈ 18.947

Therefore, the arc length of the curve y = e^x^2 for x from 0 to 1, approximated using Simpson's rule with n = 6, is approximately 18.947.

Both methods provide very similar results, with Simpson's rule being slightly more accurate.

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Answer:

the answer is c

Step-by-step explanation:

4  3/6 + 1  2/6= 5  5/6

Answer:

Step-by-step explanation:

this is hard maybe ask your mom

Answer:

600 ×1200=720,000

720,000×12=8,640,000

8,640,000×1%=8,640,000÷100%=86,400

86,400 per year

The length of side X in simple radical form with a rational denominator is 25/√3.

In Mathematics and Geometry, a 30-60-90 triangle is also referred to as a special right-angled triangle and it can be defined as a type of right-angled triangle whose angles are in the ratio 1:2:3 and the side lengths are in the ratio 1:√3:2.

This ultimately implies that, the length of the hypotenuse of a 30-60-90 triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30-60-90 triangle is √3 times the length of the shorter leg (adjacent side):

Adjacent side = 5/√3

Hypotenuse, x = 5 × 5/√3

Hypotenuse, x = 25/√3.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

10. y=3x-1

11. y=-4x+3

12. y=1/3x+4

Step-by-step explanation:

Hope this helps :)

Answer:

Answer:

you said you needed 22,23

22. y=7x-6

23. y=-x

Step-by-step explanation:

use math-way to put in the points

it explains for you

Step-by-step explanation:

Answer:

The thing that gives corrects values for point A,B,C and D is....

Add a pic

Step-by-step explanation:

Answer:1/4

Step-by-step explanation:

Answer:

I think its B.

Step-by-step explanation:

Answer:

The answer is 90 degrees

Step-by-step explanation:

:)

The number of people that went to zoo is 261.

From the information, of all the students at Pioneer Elementary, 2/5 went on a field trip to the art museum, and 3/4 of the remainder went on a field trip to the zoo, and the rest stayed at school.

Those who went to the zoo will be:

= 3/4 × ( 1 - 2/5)

= 3/4 × 3/5

= 9/20

Since there are 580 students who attended Pioneer Elementary, those that went to the zoo will be:

= 9/20 × 580

= 261

There are 261 people who went to the zoo.

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Answer:

65/100 = 13/20

Step-by-step explanation:

To change this decimal into a fraction, we can put it over 100 since the 5 is in the hundredths. We get 65/100. We can simplify this by dividing by 5. The final simplified answer is 13/20.

I hope this helped and please mark me as brainliest!

people who are unemployed but actively searching employment.

The Bureau of Labor Statistics (BLS) is a US government agency that provides data on labor market activity, working conditions and price movements in the economy.

Part of the U.S. Department of Labor, it is responsible for the collection, analysis, and public dissemination of economic data. BLS produces a wide range of statistical information, including data on employment, unemployment, wages, productivity, consumer price inflation, and occupational injuries and illnesses.

They also conduct research and publish reports on various labor market and business issues. The BLS is an invaluable resource for policy makers, businesses, workers and others who need reliable and up-to-date information on the state of the economy and labor market.

The workforce is defined as the total number of people who are employed or unemployed but are actively looking for work. Pensioners, students and housewives are not included. To be considered an active job seeker, you must have taken certain steps to find a job within the last four weeks. The size of the labor force is an important indicator of the health of the economy as a whole, as it reflects the number of people contributing to economic activity or looking for work.

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Answer:

The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

Step-by-step explanation:

Step( i ) :-

Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.

Mean of the Population  'μ' = 83

Standard deviation of the Population 'σ' = 27.

Step(ii):-

Given X =60

\(Z_{1} = \frac{x-mean}{S.D} = \frac{60-83}{27} = -0.851\)

Step(iii):-

Given X = 110

\(Z_{1} = \frac{x-mean}{S.D} = \frac{110-83}{27} = 1\)

The Probability that between 60 and 110

P(60 < x<110) = P( -0.851 < z< 1)

                      =  P( Z≤1) - P(Z≤ -0.851)

                     = (0.5 + A(1)) - (0.5- A(-0.851))

                    = (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)

                    = 0.8413 - 0.1977

P(60 < x<110) = 0.6436

Final answer:-

The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

Answer:

On Ed the answer for this: g(x) =0.5(4)-x

                                            g(x) =1/2(1/4)^x

Step-by-step explanation:

The correct initial value problem is: y'' + (9.81/0.75) y = 0, y(0) = -0.36, y'(0) = -0.45.

Here's how you can set up the initial value problem

Let y(t) be the displacement of the mass from its spring-mass equilibrium position at time t. Then, the force acting on the mass is given by Hooke's Law:

F = -ky

where k is the spring constant.

Since the mass is at rest at its equilibrium position, the force acting on it is balanced by the force of gravity.

mg = ky_eq

where y_eq is the equilibrium position of the spring-mass system.

Substituting F = -ky into the equation and solving for k, we get:

k = mg/y_eq

Substituting k and the values given, we get:

y'' + (9.81/0.75) y = 0

where y'' is the second derivative of y with respect to time.

When the mass is displaced 36 cm upward from its spring-mass equilibrium and then given a sharp downward tap, the initial conditions are:

y(0) = -0.36 m

y'(0) = -0.45 m/s (note that the velocity is downward, so it's negative)

Therefore, the initial value problem that models this experiment is:

y'' + (9.81/0.75) y = 0

y(0) = -0.36

y'(0) = -0.45

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Answer:

Entraría 3 veces.

Step-by-step explanation:

Podemos probar esto encontrando el máximo común divisor entre 21 y 45

21: 1,3,7,21

45: 1,3,5,9.15,45

Encontramos que 3 es el máximo factor común. Entonces dividimos ambos números por 3. Para obtener 7:15.

Answer:

I think its C

Step-by-step explanation:

If there is no solution to the system of equations, it signifies that the equations describe two parallel lines in the two-dimensional plane. This indicates that the lines will never meet because they have the same slope but separate y-intercepts. This signifies that the two lines are geometrically distinct and will never intersect.

A geometric significance is a geometric aspect or quality of a form or item. This encompasses the object's size and orientation, as well as its symmetry and proportions. Several areas, including architecture, engineering, graphic design, and mathematics, rely on geometric importance. In architecture, for example, the size and direction of a structure may be utilised to decide how much light it receives and how much shade it casts. The geometry of an item can be used to determine its strength, stiffness, and durability in engineering. The symmetry and dimensions of an object may be employed in graphic design to produce an appealing and balanced design.

The given question states that when there are no solutions to a system of K equations in two variables, it means that the lines associated with those equations are either parallel or coincident. Geometrically, this means that the lines are not intersecting, which implies that the two variables cannot simultaneously satisfy all of the equations.

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The relation between the probability of its complement is that their sum is 1.

Complement in probability theory is an essential concept that helps us understand the likelihood of an event not occurring. It is a mathematical term that refers to the opposite or negation of an event.

Complement refers to the probability of an event not occurring, given the probability of it occurring. It is often denoted as the complement of an event A and is represented by A’.

The complement of an event A is defined as the set of all outcomes in the sample space that are not in A.

The probability of the complement of A is equal to the probability of all the outcomes in the sample space that are not in A.

The most important properties of the complement of an event is that the probability of an event and its complement always add up to 1. This is known as the law of complementary probability, and is expressed as:

P(A) + P(A’) = 1

This means that if we know the probability of an event occurring, we can easily calculate the probability of its complement by subtracting the probability of the event from 1.

For example, if the probability of event A is 0.7, then the probability of its complement, A’, is 1 – 0.7 = 0.3.

Hence the relation between the probability of its complement is that their sum is 1.

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