The phenomenon that the sampling distribution of the sample mean can be approximated by a normal distribution as the sample size become large is called:______.

Answer:

it is a

Step-by-step explanation:

Answer: it’s A because Richards Park charges an admission fee of $10 plus hourly which is the unit rate which stays at a constant price C=h the hours ($10+$5) is the correct answer. Hope this helps!

Step-by-step explanation:

⇒To find the midpoint use the formula:

⇒\(M(\frac{x_{1}+x_{2} }{2} ,\frac{y_{1} +y_{2} }{2})\\M(\frac{3+(-2)}{2} ,\frac{3+(-5)}{2} )\\\\M(\frac{3-2}{2},\frac{3-5}{2} )\\M(\frac{1}{2} ,\frac{-2}{2} )\\M(\frac{1}{2} ,-1)\)

Your midpoint M is given above .

GOODLUCK!!!

Answer:

Midpoint formula : (\(\frac{x1 + x2}{2}\) , \(\frac{y1 + y2}{2}\))

the given points are  (3,3) and (-2,-5).

(3 = x1, 3 = y1) and (-2 = x2, -5 = y2).

we place them in the formula.

(\(\frac{3 + -2}{2}\) , \(\frac{3 + -5}{2}\))

(1/2 , -2/2)

(0.5, -1) is the midpoint.

hope it helps, mark as brainliest :D

The factorization of given polynomial is 4x(-x+3). Therefore, option A is the correct answer.

The given algebraic expression is -4x²+12x.

The factors are the polynomials which are multiplied to produce the original polynomial.

The factorization of the given polynomial is

-4x²+12x

= 4x(-x+3)

The factorization of given polynomial is 4x(-x+3). Therefore, option A is the correct answer.

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The planes that contain point W from the given image are;

Plane V

Plane VWY

Plane RYV

A coordinate plane is a graphing and description system for points and lines. A vertical y-axis and a horizontal x-axis make up the coordinate plane.

From the attached image, we see that the planes whose name contains V also contains W.

The plane B contains the line XR and the Line YV as well as the W at the line YV.

Finally, the plane m also contains line YV and obviously the same as plane RYU.

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A substitute is a good or service that buyers can quickly swap out for another. For instance, a one-dollar bill can be used in place of another dollar bill.

In business and economics, a replacement, or substitutable good, is a good or service that consumers perceive as just being substantially the same as or reasonably similar to some other good. Consumers are given options and alternatives through substitutes, which also spur competition and lower prices in the market.

Here are a few examples of replacement goods:

1. A $1 bill can be exchanged for four quarters.

2. Coke against Pepsi

3. Regular vs. premium gas

4. Butter and lard

5. Tea and coffee

6. Apples and oranges

7. Comparing driving a car to riding a bike

8. Books in general and e-books

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Answer:

82/9

Step-by-step explanation:

To find the improper fraction

Multiply the denominator by the whole number

9*9 = 81

Add the numerator

81+1 = 82

Put it over the denominator

82/9

Answer:

82/9

Step-by-step explanation:

Multiply the whole number part by the fraction's denominator:

9 1/9

9 x 9 = 81

Add the product to the numerator:

81 + 1 = 82

Then write the result on top of the denominator:

82/9

So the answer is 82/9

The number of feet down the hallway where you go until you start to feel pain is 14 feet.

A sort of sequence known as geometric progression (GP) is one in which each following phrase is created by multiplying every preceding term by such a fixed number, or "common ratio."

The general form of GP is

a, ar, ar², ar³ ... arⁿ⁻¹

where, a is the initial term.

r is the common ratio.

According to the question,

The initial term is; a = 2.

The common ratio r = 2.

The threshold value beyond which  person start feeling pain is 127.

Thus, last term; arⁿ⁻¹ = 128 (1 feet beyond 127 person start feeling pain)

Last second value is arⁿ⁻².

As, the common ratio is same in GP.

Thus,  arⁿ⁻¹ / arⁿ⁻² = ar/a

==> 128/arⁿ⁻² = r

==> 128/arⁿ⁻² = 2

==> 2×2ⁿ⁻² = 64

==> 2ⁿ⁻² = 32

==> n = 7

As, i step is of 2 feet, the total steps taken by the person is 2×7 = 14.

Therefore, the total number of steps beyond which person will feel pain is 14.

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Answer:

there nothing there

Step-by-step explanation:

Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The graph shows the relationship between the number of cups of flour and the number of cups of sugar in Angela's brownie recipe.

And, The table shows the same relationship for Jaleel's brownie recipe.

Hence, The equation for Angela's brownie recipe is,

Two points on graph are (4, 2) and (2, 1)

⇒ y - 2 = (2 - 1)/ (4 - 2) (x - 4)

⇒ y - 2 = 1/2 (x - 4)

⇒ y - 2 = 1/2x - 2

⇒ y = 1/2x

And, The equation for Jaleel's brownie recipe is,

Two points on graph are (3/2, 1) and (3, 2)

⇒ y - 1 = (2 - 1)/ (3 - 3/2) (x - 4)

⇒ y - 1 = 2/3 (x - 4)

⇒ y - 1 = 2/3x - 8/3

⇒ y = 2/3x - 8/3 + 1

⇒ y = 2/3x - 5/3

So, For Jaleel and Angela buy a 12-cup bag of sugar.

The equation for Angela's brownie recipe is,

⇒ y = 1/2x

⇒ y = 1/2 × 12

⇒ y = 6

The equation for Jaleel's brownie recipe is,

⇒ y = 2/3x - 5/3

⇒ y = 2/3 × 12 - 5/3

⇒ y = 19/3

Thus, Angela's use 6 cups of flour and Jaleel's use 19/3 cups of flour.

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Answer: n=4

Step-by-step explanation:

\(\left(-9\right)-9n=\left(-45\right)\)

add 9 to both sides

\(-9-9n+9=-45+9\)

\(-9n=-36\)

divide both sides by -9

\(n=4\)

Brainliest please

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▹ Answer

n = 4

▹ Step-by-Step Explanation

(-9) - 9n = (-45)

Simple terms are written last:

-9 - 9 = -45

Group all the variable terms on one side, and all the constant terms on the other side:

(-9n - 9) + 9 = -45 + 9

n = 4

Hope this helps!

CloutAnswers ❁

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Answer:

40 tickets

Step-by-step explanation:

2800 = 70x

x is the number of tickets. You have to solve for x

Divide each side by 70

2800/70 = 70x/70

40 = x

Answer:

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

26 - 26 = 0

180 - 26 = 154

x = 154°

Answer: 154

Step-by-step explanation: 26 + x = 180, subtract 26 from both sides, x = 154

Well, find the change in y over change in x. You get three.over one. So your slope Is positive 3.

Answer:

$14.50

Step-by-step explanation:

To calculate the cost for manufacturing a standard cereal box, we must take in account its surface area. The volume will be used to estimate the amount of cereal, the box can contain. The box is a cuboid as standard cereal boxes are cuboid.

So, we will consider the surface area. Given are:

Length- 8 inches

Width- 3 inches

Height- 11 inches

We will find the surface area as : 2lw + 2wh +2lh

= (2x8x3) + (2x3x11) + (2x8x11)

= 48 + 66 + 176 = 290 square inches

Given is - the cost of manufacturing the box is $0.05 per square inch.

So, cost of manufacturing the box with 290 square inches area =

0.05 x 290 = $14.50

The answer is $14.50

Answer:

3 kg for $16.20

Step-by-step explanation:

If you divide each ($11.70 divided by 2 and $16.20 divided by 3) it will tell you how much each bag costs.

For $11.70, each bag is sold at $5.85

For $16.20, each bag is sold at $5.40

Essentailly, each bag costs less for $16.20

Answer:

3)y-3=-2(x+1)

Step-by-step explanation:

y-3=-2(x+1)

add 3 on both sides and use distributive property with the -2

y=-2x-2+3

y=-2x+1

graph it.

Answer:

(3) y-3 = -2(x + 1)

Step-by-step explanation:

Lets change all equations to slope-intercept form to easily see the slope.

Slope-Intercept Form:

y = mx+b

M is slope, or the amount the y-value increases when the x-value increases by 1. B is y-intercept, or the y-value of the line when it is intersecting the y-axis (x=0).

#1: y + 5 = x - 3

Subtract 5 on both sides.

y + 5 - 5 = x - 5

Simplify.

y = x - 5

In slope intercept form. Slope of 1 and y-intercept of -5.

#2: y=2x+1

Already in slope intercept form. Slope of 2 and y-intercept of -5.

#3: y-3 = -2(x+1)

Use distributive property to simplify.

y - 3 = -2x-2

Add 3 on both sides.

y - 3 + 3 = -2x - 2 + 3

Simplify.

y = -2x+1

In slope intercept form. Slope of 2 and y-intercept of 1.

#4: y = x+2

Already in slope intercept form. Slope of 1 and y-intercept of 2.

Now using the slope formula, we can eliminate 2 possibilities.

Slope Formula: \(\frac{y_2-y_1}{x_2-x_1}\)

Plug in points.

\(\frac{3--5}{-1-3}\)

Simplify.

\(\frac{8}{-4}\)

Divide.

-2

Slope is -2. Because the slopes of #1 and #4 are 1 (not -2), they cannot be the equation that passes through the line. The slope of #2 is 2, not -2. We are left with: #3.

6t=9

Since the top tape diagram has 6 parts and labeled t (The same size as the bottom diagram), we multiply it, so: 6xt= 6t. 9 is the label of the bottom diagram. That means there are the same or equal to each other.

I hope I've helped!

Step-by-step explanation:

first identify the common difference

The first term which i will define by u⁰=-27

u¹=u⁰+(1)d where d is the common difference and u¹ is the second term

u¹=-27+d

-11=-27+d

d=27-11=16

The 72nd term would be u⁷¹ since we started from u⁰ as our first term:

Use the explicit relation given by:

u(n)=u⁰+(n)d

u(71)=-27+71(d)

u⁷¹=-27+71(16)

u⁷¹=-27+1136

u⁷¹=1109

Answer:

5x+1

5x^2+6

Step-by-step explanation:

The area under the curve is \(\frac{6 \sqrt{3}}{5}\).

Consider the following parametric equations:\($$x=t^2-3 t \text { and } y=\sqrt{t} \text { and the } y \text {-axis. }$$\)

The objective is to find area enclosed by the curve using the formula.

The area under the curve is given by parametric equations x=f(t), y=g(t),  and is traversed once as t increases from α to β, then the formula for calculating the area under the curve:

\($$A=\int_\alpha^\beta g(t) f^{\prime}(t) d t$$\)

The curve has intersects with y-axis. so x=0

\($$\begin{aligned}t^2-3 t & =0 \\t(t-3) & =0 \\t & =0 \text { or } t=3\end{aligned}$$\)

Now we have to draw the graph,

Let f(t)=\(t^2-3 t, g(t)=\sqrt{t}$\)

Differentiate the curve f(t) with respect to t.

\(f^{\prime}(t)=2 t-3\)

Now, find the area under the curve use the above formula.

\(\begin{aligned}A & =\int_0^3(\sqrt{t})(2 t-3) d t \\& =\int_0^3(2 t \sqrt{t}-3 \sqrt{t}) d t \\& =\int_0^3\left(2 t^{\frac{3}{2}}-3 t^{\frac{1}{2}}\right) d t \\& =\left[2 \frac{t^{\frac{5}{2}}}{\frac{5}{2}}-3 \frac{t^{\frac{3}{2}}}{\frac{3}{2}}\right]_0^3 \\& \left.\left.=\left[\frac{4 t^{\frac{5}{2}}}{5}-2 t^{\frac{3}{2}}\right]_0^3\right]^{\frac{5}{2}}\right] \\\\\end{aligned}$$\)

\(& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right]\)

\($\begin{aligned}& =\left[\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}\right]-\left[\frac{4(0)^{\frac{5}{2}}}{5}-2(0)^{\frac{3}{2}}\right] \\& =\frac{4(3)^{\frac{5}{2}}}{5}-2(3)^{\frac{3}{2}}-0 \\& =\frac{6 \sqrt{3}}{5}\end{aligned}\)

Therefore,  the area of the curve is \(\frac{6 \sqrt{3}}{5}\).

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The spherical coordinates for the point (-5, 5, 5/6) are (rho, theta, phi) ≈ (√1825/6, -π/4, 0.387).

(a) To convert the point (0, 2/3, 2) from rectangular coordinates to spherical coordinates, we can use the following formulas: rho = √(x^2 + y^2 + z^2), theta = atan2(y, x), phi = acos(z / rho). In this case, since x = 0, y = 2/3, and z = 2, we have: rho = √(0^2 + (2/3)^2 + 2^2) = √(4/9 + 4) = √(40/9) = 2√10/3, theta = atan2(2/3, 0) = π/2 (since x = 0 and y > 0), phi = acos(2 / (2√10/3)) = acos(3√10/3√10) = acos(1) = 0. Therefore, the spherical coordinates for the point (0, 2/3, 2) are (rho, theta, phi) = (2√10/3, π/2, 0).

(b) To convert the point (-5, 5, 5/6) from rectangular coordinates to spherical coordinates, we can use the same formulas: rho = √(x^2 + y^2 + z^2), theta = atan2(y, x), phi = acos(z / rho). In this case, we have x = -5, y = 5, and z = 5/6: rho = √((-5)^2 + 5^2 + (5/6)^2) = √(25 + 25 + 25/36) = √(900/36 + 900/36 + 25/36) = √(1825/36) = √1825/6, theta = atan2(5, -5) = atan2(-1, 1) = -π/4 (since x < 0 and y > 0), phi = acos(5/6 / (√1825/6)) = acos(5√1825/√1825) = acos(5/√1825) ≈ 0.387

Therefore, the spherical coordinates for the point (-5, 5, 5/6) are (rho, theta, phi) ≈ (√1825/6, -π/4, 0.387).

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The option that depicts the polar equation r = (cot 2θ)(csc θ) as an equation that is rectangular is: y² = 2x.

A polar expression is any equation that describes the correlation between r and θ, where r signifies the anticlockwise angle formed by a point on a curve, the pole, and the positive x-axis, and means the breadth between the origin and a location on a curve.

Step 1 - expand the polar equation

r = 2cosθ * cscθ

Step 2  - convert csc and cos to their equivalents in tan and sin

r = 2 * (1/tanθ) * (1/sinθ) * sinθ

r = 2 * (1/tanθ) * sinθ/sinθ

r = 2 * 1/tanθ

r = 2/tanθ, making 2 the subject of the formula, we have

rtanθ = 2

Note that rectangular coordinates of a point will be depicted as (x,y) and it's plolar coordinate will be (r, θ).

This mean

x = r cos θ; and

y = r sinθ

From the above, we can state that:

Since y = r sinθ
⇒ tanθ = y/x

⇒ (rsinθ/y) * tanθ = 2

Thus y * (y/x) = 2

Therefore,

y²/x = 2

y² = 2x

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Answer:

Vertical Angles

Step-by-step explanation:

Hope this helps

Removing the electric car from the data set will reduce the standard deviation as the extreme value of 112 mpg is taken out, resulting in a decrease in the spread of the data. The interquartile range (IQR) will also be affected as the extreme outlier is taken out, will decrease the spread of the data in the boxplot.

The electric car with a rating equivalent to 112 miles per gallon is an extreme outlier, which means it is very far from the rest of the data. Therefore, removing this outlier from the data set will decrease the variability and, consequently, decrease the standard deviation. The extreme outlier with the rating equivalent to 112 miles per gallon is outside of the whiskers of the boxplot, which means it is beyond the range of the middle 50% of the data. Therefore, removing this outlier from the data set will decrease the spread of the data in the boxplot and, consequently, decrease the IQR.

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The expected value of the gain if you purchase one ticket is $0.749.

To calculate the expected value of the gain, we need to determine the probability of winning and the amount that can be won.

In this case, there are 1,000 tickets sold and only one television to be won. Therefore, the probability of winning the television is 1/1,000.

The amount that can be won is the value of the television minus the cost of the ticket, which is $750 - $1 = $749.

So, the expected value of the gain can be calculated as follows:

Expected value = probability of winning x amount that can be won

Expected value = (1/1,000) x $749

Expected value = $0.749

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To rewrite the integral ∫(2x)\(e^{4x^{2} }\)dx using integration by parts, we'll consider the function f(x) = (2x) and g'(x) = \(e^{4x^{2} }\).

Integration by parts states that ∫u dv = uv - ∫v du, where u and v are functions of x.

Let's assign:

u = (2x) => du = 2 dx

dv = \(e^{4x^{2} }\) dx => v = ∫\(e^{4x^{2} }\) dx

To evaluate the integral of v, we need to use a technique called the error function (erf). The integral cannot be expressed in terms of elementary functions. Hence, we'll express the integral as follows:

∫\(e^{4x^{2} }\) dx = √(π/4) × erf(2x)

Now, we can rewrite the integral using integration by parts:

∫(2x)\(e^{4x^{2} }\) dx = uv - ∫v du

= (2x) × (√(π/4) × erf(2x)) - ∫√(π/4) × erf(2x) × 2 dx

= (2x) × (√(π/4) × erf(2x)) - 2√(π/4) × ∫erf(2x) dx

The integral ∫erf(2x) dx can be further simplified using substitution. Let's assign z = 2x, which implies dz = 2 dx. Substituting these values, we get:

∫erf(2x) dx = ∫erf(z) (dz/2) = (1/2) ∫erf(z) dz

Therefore, the final expression becomes:

∫(2x)\(e^{4x^{2} }\) dx = (2x) × (√(π/4) × erf(2x)) - √(π/2) × ∫erf(z) dz

Please note that the integral involving the error function cannot be expressed in terms of elementary functions and requires numerical or tabulated methods for evaluation.

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Answer:

30

Step-by-step explanation:

500 g = 1/2 kg => 2 weeks he loses 1 kg

105 - 90 = 15 kg

So he needs to take 30 weeks in total. ( 15 * 2)

Let weeks be x

So

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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The power delivered by the student's biceps is 51.45 watts (W).

To calculate the power delivered by the student's biceps while doing a pull-up, we use the formula:

Power = Work/Time

Since the physics student lifts her 42 kg body to a distance of 0.25 m, the work done is given by:

Work = Force x Distance

The force exerted by the student is equal to her weight, which is given by:

F = mg

where m = 42 kg (mass of the student) and

g = 9.8 m/s² (acceleration due to gravity)

Therefore,

F = 42 kg x 9.8 m/s²

= 411.6 N (weight of the student)

Hence, the work done by the student is:

Work = Force x Distance

= 411.6 N x 0.25 m

= 102.9 J (joules)

The time taken by the student to complete the pull-up is given as 2 seconds.

Therefore:Time = 2 s

Now we can substitute the values into the formula for power:

Power = Work/Time

= 102.9 J/2 s

= 51.45 W

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