I need help with maths please

The minimum fraction of data contained within 2.56 standard deviations is about 99.7%, meaning that 99.7% of the data will be contained within 2.56 standard deviations.

The minimum fraction of the data that fall within 2.56 standard deviations is approximately 99.7%. This means that 99.7% of the data will be contained within 2.56 standard deviations, where a standard deviation refers to the typical variation in data distribution. This is because the data typically follow a Gaussian distribution, which means that 68.2% of the data will be included within an expected deviation, 95.4% will be contained within two expected deviations, and 99.7% will be contained within three expected deviations. This relationship makes it possible to determine the minimum fraction of the data included within the standard deviation of 2.56.

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The probability of a randomly selected person from this group visiting a physical therapist will be 68.

In a group of patients having injuries, 28% visit both a physical therapist and a chiropractor while 8% visit neither

A = Visiting a physical therapist

B = Visiting a chiropractor

The probability of visiting a physical therapist exceeds the probability of visiting a chiropractor by 16%.

Pr(A union B)' = .08

Pr(A union B) = 1 - .08 = .92

Pr(A intersect B) = .28

Pr(A) = Pr(B) + .16

Pr(A union B) = Pr(A) + Pr(B) - Pr(A intersect B)

.92 = [Pr(B) + .16] + Pr(B) - .28

.92 = 2Pr(B) - .12

1.04 = 2 Pr(B)

.52 = Pr(B)

Since, Pr(A) = Pr(B) + .16 then P(A) = .52 + .16 = .68.

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Answer:

139

Step-by-step explanation:

[tex]\frac{138+128+151}{3}[/tex]

[tex]\frac{417}{3}[/tex]

139

[tex]\dfrac{2}{9} = 2\div 9 = 0.2222222222222...[/tex]

x is 2.

Answer:

To solve the inequality 8 < 2(7-g), we first need to simplify the right side of the inequality.

2(7-g) = 2 * 7 - 2 * g = 14 - 2g

Now we can compare the left and right sides of the inequality:

8 < 14 - 2g

To isolate g, we'll add 2g to both sides:

8 + 2g < 14

2g < 6

To divide by 2, we'll divide both sides by 2:

g < 3

So the solution to the inequality is g < 3, which can be represented on a number line as:

(negative infinity, 3)

So the values of g that satisfy the inequality are any real number less than 3.

Step-by-step explanation:

Answer:

g < 3

Step-by-step explanation:

8 < 2(7 - g)

8< 14 - g

-6 < -g

g < 3

On a number line, because there is no equal, so this will be an open circle to the left of 3.

The expression can be expressed in the form of x².

The value of a is 2.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.

Given:

We have an expression,

[tex]x^{3/2}[/tex]×√x.

Simplifying,

[tex]x^{3/2}[/tex]×√x,

= [tex]x^{3/2} x^{1/2}[/tex]

= [tex]x^{3/2+1/2}[/tex]

=  [tex]x^{2}[/tex]

Therefore, the value of a is 2.

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The error is when h is some value, the error will be when h/2.

The error of a third-order accurate numerical differentiation method scales with the fourth power of the step size, i.e. if the step size is halved, the error will decrease by a factor of 2⁴=16. So if the error is when h is some value, the error will be when h/2.

The error in numerical differentiation methods can be approximated using Taylor series expansions. For a third-order accurate method, the error term in the Taylor series would be proportional to h⁴. Hence, reducing the step size by a factor of two would reduce the error by a factor of 2⁴ = 16. This relationship between step size and error holds for small step sizes. For larger step sizes, the error may not decrease in such a simple manner and other factors such as the smoothness of the function being differentiated and the presence of singularities or discontinuities may come into play.

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Answer:

(−14)

3

1

Step-by-step explanation:

(i)    (−4)

5

÷(−4)

8

=

(−4)

8

(−4)

5

​

=(−4)

5−8

=(−4)

−3

=

(−4)

3

1

​

(ii)   (

2

3

1

​

)

2

=

2

3×2

1

​

=

2

6

1

​

(iii)   (−3)

4

×(

3

5

​

)

4

=(−1)

4

×(3)

4

×(

3

5

​

)

4

=(−1)

4

×5

4

=5

4

(iv)   (3

−7

÷3

−10

)×3

−5

=(

3

−10

3

−7

​

)×(3)

−5

=3

−7+10

×3

−5

=3

3−5

=3

−2

=

3

2

1

​

(v)    2

−3

×(−7)

(−3)

=

2

3

1

​

×

(−7)

3

1

​

=(

2×(−7)

1

​

)

3

=

(−14)

3

1

​

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No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

It is a branch of mathematics that deals with the occurrence of a random event.

A representative sample has to be in proportion, and the diagram shows that the greater part is not represented in proportion. Because it is not represented in proportion, it is not a representative sample.

No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

Hence, No, this is not a representative sample because each type of weed should be represented in proportion to the number of weeds actually present in the yard.

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Answer: $928.5

Step-by-step explanation: So, you multiply 21.74x40 and add that with 6.50 and then add that with 52 and you get your answer. and you should get .928.5

Answer:

below

Step-by-step explanation:

Add the two numbers together

(2.12 + 3.28 ) x 10^3 = 5.40 x 10^3 dollars

The percentage of the bill left as a tip is 17.62%

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

y = -0.632x + 27.1

When the total bill is $15, we have

y = -0.632 * 15 + 27.1

Evaluate

y = 17.62

Hence, the percentage is 17.62

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The temperature at 6pm is -29.5 °F.

The rise in temperature serves as a visual representation of how rapidly the temperature changes over time. Any period of time, such as from one day to the next or from one year to the next, could be taken into account. To determine the temperature increase, you simply need to use simple subtraction.

Here , The temperature at 9 am = -10.4 °F

Between 9 am and noon, the temperature rose 9.5°F.

= -10.4 + 9.5

=  -0.9 °F

Between noon and 3pm the temperature went down 10°F

= -0.9 F - 10°F

= -10.9°F

Now again the temperature went down 18.6°F then,

= -10.9°F - 18.6 °F

= -29.5 °F

Hence, the temperature at 6pm is -29.5 °F.

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The roots of h(x)=x³−2x²+9x−18 is 2, -3i and 3i.

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.

Given:

h(x)=x³−2x²+9x−18

so, (x-2) is the solution of h(x).

Now, the synthetic division

                                  (x-2) | x³−2x²+9x−18 | x² + 9

                                            x³ −2x²

                                      __________

                                                0   + 9x - 18

                                                         9x - 18

                                                     __________

                                                               0

now, again factorize x² + 9 = 0

 x = ±3i

Hence, the roots are 2, -3i and 3i.

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Step-by-step explanation:

you add d+178=d178

and the answer is d178

Due to the equal sides of the equilateral triangle, a =  6[tex]\sqrt{3}[/tex] and b =  6[tex]\sqrt{3}[/tex] how it is shown in figure 60°, 60°.

Because that it has three sections and three vertices, a triangle qualifies as a polygon. It belongs to the fundamental geometric shapes. Triangle ABC is the term used to refer to a triangle with the points A, B, and C. Once the three factors are not collinear, a unique plane composite triangle from Euclidean geometry are discovered. Triangles are polygons because they have three sides or three corners. The points where the four structures of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

given

as shown in the figure

∠60° , ∠60° and side 6[tex]\sqrt{3}[/tex]

Due to the equal sides of the equilateral triangle, a =  6[tex]\sqrt{3}[/tex] and b =  6[tex]\sqrt{3}[/tex] how it is shown in figure 60°, 60°.

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Use a tangent line approximation at (8, 1) to estimate the value of y when x = 7. ans: y≈ 3/ 2.

what is predicted value?

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We can start solving the problem by using algebra. Let x be the original number of one-dollar coins in the box, and y be the original number of fifty-cent coins. Then, based on the given information, we know that:

x:y = 3:4 (original ratio)

x-6:y+z = 1:3 (new ratio)

Where z is the number of fifty-cent coins added.

Now we can use the first equation to find x in terms of y.

x:y = 3:4

x = 3y/4

Now we can substitute x = 3y/4 into the second equation.

(3y/4 - 6) : (y + z) = 1:3

Now we can cross-multiply and simplify the equation to get:

3y/4 - 6 = y + z

3y - 8y = 12 + 4z

-5y = 12 + 4z

y = -12/5 - 4z/5

Now we can use this value of y to find the value of x.

x = 3y/4

x = 3(-12/5 - 4z/5) / 4

x = -9/5 - 3z/5

Now we can use the value of x and y to find the total amount of money in the box.

x + y = (-9/5 - 3z/5) + (-12/5 - 4z/5)

x + y = -21/5 - 7z/5

We know that the number of dollars is equal to the number of one dollar coin, the number of fifty cents is equal to the number of fifty-cent coins, so the total amount of money in the box is:

x + y = -21/5 - 7z/5 = -21/5100 - 7z/550 = -2100-35z

We don't know the value of z so we can't calculate the exact amount of money in the box.

The non parametric equation described by the parametric equation is given as follows:

D. y = 324(x - 3)^4 - 7.

The parametric curve is defined as follows:

Isolating t on the first equation, we have that:

[tex]\frac{1}{3}\sqrt{t} = x - 3[/tex]

[tex]\sqrt{t} = 3(x - 3)[/tex]

t = 9(x - 3)² -> applying the square root to both sides.

Replacing on the second equation, the equation of the non parametric function is given as follows:

y = 4t² - 7

y = 4[9(x - 3)²]² - 7.

y = 324(x - 3)^4 - 7.

Meaning that option D is the correct option.

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A function T:Rn -- > Rm that meets the criteria listed below is said to be linear (or to be a linear map). T(x+y)=T(x)+T(y)

T(x+y)=T(x)+T(y)

T(ax)=aT(x) for any vectors x, y, and any scalar a.

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.

The linear equation in slope-intercept form for the velocity of sound as a function of temperature is v = 0.068T + 293.2, where v is the velocity of sound and T is the temperature in degrees Celsius. Using this equation, the velocity of sound at 60°C is 339.6 m/s.

The velocity of sound in dry air increases as the temperature increases. At 40°C, sound travels at a rate of about 355 m/s, and at 49°C, it travels at a rate of about 360 m/s. To write a linear equation in slope-intercept form for the velocity of sound as a function of the temperature, first calculate the slope of the line by finding the difference in velocity divided by the difference in temperature: (360 - 355) / (49 - 40) = 0.068. This slope can be written as the coefficient of the T-term in the equation. To find the y-intercept, plug in the temperature at which the velocity was measured (40°C) and the corresponding velocity (355 m/s) into the equation of the form v = mT + b. Solving for b yields 293.2. Therefore, the linear equation in slope-intercept form is v = 0.068T + 293.2. To find the velocity of sound at 60°C, plug in 60 for T in the equation and solve for v, which yields 339.6 m/s.

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The required function for the given situation is -3 = x.

A function is a type of rule that produces one output for a single input. Source of the image: Alex Federspiel. This is illustrated by the equation y=x2. Any input for x results in a single output for y. Considering that x is the input value, we would state that y is a function of x.

-2/3 = -2/3 is the slope.

It is the y-intercept (0, -1)

The x-intercept is the value of x when f(x) = 0, and we can use this knowledge to build an equation for the function and get it:

f(x) = -2/3x - 1

f(x) = -2/3x -1

0 = -2/3x - 1

2 = -2/3x

-3 = x

It is the x-intercept (-3,0)

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For the function the equation of this semicircle by simplifying (fog)(x) is √(√5 - x) + 5.

A function is a mathematical rule that assigns a unique output  to each input.

In this problem, we have two functions, f(x) = √x + 5 and g(x) = √5 - x.

Here we need to find the composition of these two functions, denoted by (f∘g)(x) or f(g(x)), we substitute the output of one function as the input of the other.

So,

=> (f∘g)(x) = f(g(x))

=> f(√5 - x) = √(√5 - x) + 5.

So, to find the equation of the semicircle in this case, we can simplify the expression (f∘g)(x) and rearrange it in the standard form of a circle.

The center of the semicircle can be found by setting x = 0, which gives us the y-coordinate of the center, and y = 0, which gives us the x-coordinate of the center.

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The number of stays required for Jaden to have the same points in either hotel is 2. 11 stays

The number of points is 390 points

Assuming that the number of stays is denoted as x, the number of total points from Hotel Wonderland is:

= 325 + 31 x

The points from Hotel Tropicana is:

= 344 + 22 x

The number of stays therefore, that would make the points in either hotel equal is:

325 + 31 x = 344 + 22 x

31 x - 22 x = 344 - 325

9 x = 19

x = 19 / 9

x = 2. 11 stays

The number of point Jaden will get is:

= 344 + 22 ( 2. 11)

= 390 points

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The given heights of the cylinder are arranged as follows:

The volume of a cylinder is given by the formula below:

V = πr²h

where;

V is the volume of the cylinder

π = 22/7

r is radius; r = diameter/2

h is height

The volume of the cylinder is between 300 and 350 cubic centimeters.

For the 300 cm³ cylinder

h = v/πr²

r = 6.6/2 or 3.3 cm

h = 300/(22/7 * 3.3)

h = 8.7 cm

For the 350 cm³ cylinder

h = v/πr²

r = 6.6/2 or 3.3 cm

h = 350/(22/7 * 3.3)

h = 10.2 cm

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Answer:

Children attended x = 324

Adults attended y = 176

Answer:

There are 324 children that attended and 176 adults

Answer:

It is negative an nonlinear.  If you could only select one, I would select negative.

Step-by-step explanation:

It is nonlinear because it is not a straight line.  It is negative because as the x value increases, the y value decreases.