Biografia de macmon y su papel en la cristianizacion en el imperio romano

The probability P(Xˉ−2<114<Xˉ+2) is approximately 0.95. (Option 3)

We know that the population mean is 114 and the standard deviation is 6. We also know that the sample size is 36, which is large enough to apply the central limit theorem. Thus, the distribution of sample means follows a normal distribution with a mean of 114 and a standard deviation of 6/√36=1.

Now, we need to calculate the z-score for the lower and upper bound of the inequality.

z1=(114-2-114)/1=-2

z2=(114+2-114)/1=2

Using a standard normal distribution table, we can find that the area to the left of -2 is 0.0228 and the area to the left of 2 is 0.9772. Thus, the area between -2 and 2 is approximately 0.9772-0.0228=0.9544, which is approximately 0.95.

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Complete Question:

In 2022, NBA teams score 114 points per game on average with a standard deviation of 6 points per game. Suppose that we randomly sample 36 NBA scores from this season and consider the sample mean (

Xˉ ); the average points per game scored in this sample.

Calculate P( Xˉ 2<114< Xˉ +2)

To test the claim that the new production method has lengths with a standard deviation different from 3.5 cm, we will perform a hypothesis test using the p-value method.

Null Hypothesis (H₀): The standard deviation of the new production method is equal to 3.5 cm.

Alternative Hypothesis (H₁): The standard deviation of the new production method is different from 3.5 cm.

We will use the chi-square test statistic to compare the sample standard deviation to the hypothesized standard deviation. The test statistic is given by:

χ² = (n - 1) * (s² / σ₀²)

where n is the sample size, s² is the sample variance, and σ₀ is the hypothesized standard deviation.

In this case, we have:

Sample size (n) = 14

Sample standard deviation (s) = 3.46 cm

Hypothesized standard deviation (σ₀) = 3.5 cm

Substituting these values into the formula, we get:

χ² = (14 - 1) * (3.46² / 3.5²)

χ² = 13 * (11.9716 / 12.25)

χ² = 12.7185

To find the p-value, we need to calculate the probability of obtaining a chi-square statistic greater than or equal to the calculated value of 12.7185, with (n - 1) degrees of freedom. In this case, the degrees of freedom is (14 - 1) = 13.

Using a chi-square distribution table or a statistical software, we find that the p-value corresponding to a chi-square statistic of 12.7185 with 13 degrees of freedom is approximately 0.5005.

Since the p-value (0.5005) is greater than the significance level (0.05), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that the standard deviation of the new production method is different from 3.5 cm.

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After the correct formula for a reactant in an equation has been written, The solution is balanced by adjusting the subscripts.

It is necessary to change the subscripts in order to balance an equation once the proper formula for a reactant has been written. Make sure there are the same amount of atoms of each element on the reactant and product sides of the equation in order to balance an equation. The chemical formula itself shouldn't be changed in order to achieve this balance, and it might or might not show up on the product side of the equation. However, changing the subscripts is essential. Moreover, provided that they are balanced, the formula's figures may be placed on either side of the equation.

Therefore, after the correct formula for a reactant in an equation has been written, The solution is balanced by adjusting the subscripts.

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Answer:

The pool holds 660,000 gallons of water.

Step-by-step explanation:

63/100 = 415,800/x

cross multiply so 415,000 * 100 = 41,500,000

41,500,000 / 63 = 660,000

a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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Answer:

c=100 the angles in a hexagon =720 so subtract all the angles from 720. 720-155-80-115-160-110=100

Answer:

y = \(\frac{1}{4}\) x - 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m = \(\frac{1}{4}\) , then

y = \(\frac{1}{4}\) x + c ← is the partial equation

to find c substitute (- 8, - 8 ) into the partial equation

- 8 = - 2 + c ⇒ c = - 8 + 2 = - 6

y = \(\frac{1}{4}\) x - 6 ← equation of line

After solving,  41.67 Hz wing beats the dragonfly performs per second.

In the given question, if the video is shot at 190 frames per second, then we have to find how many wing beats the dragonfly performs per second.

From the given question,

Frames per one wing beat = 6 frames

Video shot at = 250 frames per second

We firstly find the time period

So, Time period (T) = 6/250

T= 0.024 s

Snce we have to find how many wing beats the dragonfly performs per second.

Per second number of wing beats = 1/T

Per second number of wing beats = 1/0.024

Per second number of wing beats = 41.67 Hz

Hence, 41.67 Hz wing beats the dragonfly performs per second.

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The right question is;

A frame by frame analysis of a slowmotion video shows that a hovering dragonfly takes 6 frames to complete one wing beat.

If the video is shot at 190 frames per second, how many wing beats does the dragonfly perform per second?

Answer:

A

Step-by-step explanation:

Since the shaded region on the right is greater than or equal to 3, and the shaded region on the left is less than -4 (since numbers decrease as the arrow moves towards the left on the number line).

Cases (iii) and (iv) are left as exercises, meaning the proof for those cases is not provided in the given information. To fully establish the Characterization Theorem, the proof for these remaining cases needs to be completed.

Theorem 2.5.1 (Characterization Theorem):

If S is a subset of R that contains at least two points and has the property that if x, y ES and x < y, then (x, y)C S, then S is an interval.Proof.

There are four cases to consider:

(i) S is bounded,

(ii) S is bounded above but not below,

(iii) S is bounded below but not above, and

(iv) S is neither bounded above nor below.

Case (i): Let a = inf S and b = sup S.

Then SC[a, b] and we will show that (a, b)C S. If a < z < b, then there exist x, y

ES such that x < z < y. Since x < y and S has property (1), we have (x, y)C S.

Since zEP(x, y), it follows that zES.

Thus (a, b)C S.

Now if a S and b S, then S =[a, b].

If a S and b S, then S=(a, b).

The other possibilities lead to either S = (a, b) or S = [a, b].

Case (ii): Let b = sup S.

Then SC (-[infinity]o, b] and we will show that (-oo, b)C S. For, if z < b, then there exists y

ES such that z < y < b.

Since b is the least upper bound of S and yES, it follows that y 6S. But then (z, y)C (-oo, b) and (z, y)C S.

Thus (-oo, b)C S. Now if S contains its smallest element a, then S = [a, b]. Otherwise, S=(a, b).

Cases (iii) and (iv) are left as exercises.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Value of x is equal to ~

\( \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}\)

According to above figure, we can infer that Angles measuring (x + 63)° and (4x)° are equal to one another.

Because they form pair of Alternate interior angles.

that is ~

now, let's solve to get the value of x,

\(\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}\)

Arrhenius theory of an acid: This theory was discovered by Sir Svante Arrhenius in 1887. According to this theory acids are hydrogen containing compounds, when dissolves in water it gives (H+) ions.

\(\large{\underline{\underline{\pmb{\sf{\color {red}{Question:}}}}}}\)

\( \sf \red{What \: is \: Arrhenius's \: definition \: of \: an \: acid?}\)

\( \implies\) (B) substance that dissociates.in water to produce hydrogen ions (H+).So, option (B) is correct.

\( \boxed{ \frak \red{happy \: learning}}\)

Answer:

Isometry: An isometry is a transformation that maintains congruency.  This means that the transformation does not change the figure's size or shape.

Make sure your child is familiar with the Cartesian coordinate system including the horizontal x-axis, the vertical y-axis, and the (x,y) convention used for locating points.

If you have not already done so, you may wish to review this congruency lesson with your child.

Translations

This section will help your child to translate congruent figures on a Cartesian plane. It will also introduce translation vectors which show the distance and direction of the translation.

Translations

Figure J is the pre-image. Figure S is translated.

A figure is a translation if it is moved without rotation.

Translation Vector

A Translation Vector is a vector that gives the length and direction of a particular translation. Vectors in the Cartesian plane can be written (x,y) which means a translation of x units horizontally and y units vertically.

figure being translated

Vectors translations can be written as shown in either of these two ways:

format example for writing vectors

This vector can be said to be ray AB or vector D.

You translate a figure according to the numbers indicated by the vector.  So if one point on a figure has coordinates of (-3,3)  and the translation vector is (-1,3), the new coordinate is (-4,6). You add or subtract according to the signs in the numbers in the vector.

Work through the two examples below with your child to see how to apply translation vectors.

square translated on cartesian grid

The red square's coordinates are:

(-4,3); (-4,8); (-9,3); (-9,8).

What are the coordinate pairs under a translation vector of (1,-1) as shown by the blue square?

The new coordinates are:

(-3,2); (-3,7); (-8,2); (-8,7).

You can see that the translation did not move the figure far because the vector translation is small.

square translated on cartesian grid

We will try a different vector translation of (3,-9) on the same red square

The new coordinates are:

(-1,-6); (-1,-1); (-6,-6); (-6,-1).

Get you child to try the next example. Do not look at the answer until he or she has tried to work it through the task.

single triangle on cartesian grid

Task: Translate ΔABC with a vector translation of (6,-2)

Steps:

Find the coordinates of Δ ABC.

Add 6 to the X coordinates and subtract 2 (or add -2) from the Y coordinates.

Plot the new coordinates on the grid.

Answer and Explanation

Coordinates of ΔABC are:

(-5,1); (-2.5,7); (0,1)

Add 6 and subtract 2

A1 = (-5 + 6, 1 - 2) = (1,-1)

B1 = (-2.5 + 6, 7 - 2) = (3.5,5)

C1 = (0 + 6, 1 - 2) = (6,-1)

Plot ΔA1B1C1

Rotations

This section will show your child how to rotate a figure about the origin on a Cartesian plane. Work through the two examples below:

Note: Make sure your child knows that the origin is the intersection of the X and Y axes; (0,0) on the Cartesian plane.

Rotation Transformation: Example 1

Look at the four triangles on the Cartesian plane below. Each one is rotated about the origin as shown in the table.

Triangle B Triangle C Triangle D

90° rotation of Triangle A about the origin 90° rotation of Triangle B about the origin 90° rotation of Triangle C about the origin

 180° rotation of Triangle A about the origin 180° rotation of Triangle B about the origin

   270° rotation of Triangle A about the origin

The coordinates are:

Triangle A (-2,2) (-10,2) (-6,8)

Triangle B (2,2) (2,10) (8,6)

Triangle C (2,-2) (10,-2) (6,-8)

Triangle D (-2,-2) (-2,-10) (-8,-6)

Note the pattern in the coordinates for corresponding vertices on the triangles.

Rotation Transformation: Example 2

The coordinates of Pentagon ABCDE are:

(0,4); (7,4); (9,2); (7,0); (0,0)

Pentagon ABCDE is rotated 180° about

the origin making the coordinates of

Pentagon A1B1C1D1E1:

(0,-4); (-7,-4); (-9,-2); (-7,0); (0,0)

Note how the coordinates of

corresponding vertices are opposite

integers (just the +/- sign is different).

This is always the case with 180°

rotations about the origin.

Reflections

This section will help your child to reflect a figure over an axis on a Cartesian plane

Work through the two reflection examples below.

Reflection Transformation: Example 1

The coordinates of LMNO are:

(-7,5); (0,5); (-2,1); (-5,1)

LMNO is reflected over the X-axis

making the coordinates of

L1M1N1O1:

(-7,-5); (0,-5); (-2,-1); (-5,-1)

Note how the x-coordinates remain the

same but the y-coordinates change to

their opposite integer (i.e. the sign changes).

This is always the case with reflections over the X-axis.

Step-by-step explanation:

The solution is, the coordinates of Z'  will be z' = (6,7),

i.e. option B is correct.

A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.

here, we have,

Given that,

X' are (5,11).

now, See attachment

Required that,

The image of Z i.e. z'

From the attachment:

X =(7,11)

This implies that:

X' = ( x- 2, y)

Using the same rule for z;

z=(8,7)

z' = (8-2, 7)

z' = (6,7)

Hence, The solution is, the coordinates of Z'  will be z' = (6,7),

i.e. option B is correct.

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The rate at which the area of the triangle is increasing when the angle between the sides of fixed length is (6/5) m²/s.

To find the rate at which the area of the triangle is changing, we need to use the formula for the area of a triangle: A = (1/2) * base * height. In this case, the two sides of the triangle with fixed lengths are 3 m and 4 m. The angle between them is increasing at a rate of 0.08 rad/s.

First, let's find the height of the triangle. Using trigonometry, we can determine that the height is given by h = 3 * sin(θ), where θ is the angle between the sides. Taking the derivative with respect to time, we get dh/dt = 3 * d(sin(θ))/dt.

Next, we can calculate the rate of change of the area of the triangle. Applying the derivative to the area formula, we have dA/dt = (1/2) * base * (dh/dt).

Substituting the known values, the base is 4 m, and dh/dt is 3 * d(sin(θ))/dt. Since d(sin(θ))/dt is the given rate of change of the angle, which is 0.08 rad/s, we can substitute these values into the equation and solve for dA/dt.

Finally, evaluating the expression, we find that dA/dt = (1/2) * 4 * 3 * 0.08 = (6/5) m²/s. Therefore, the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is (6/5) m²/s.

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By using Disk Method, the integral that gives the volume of the solid formed by revolving the region about the y-axis of y = x^(11/12) y=1, x=0 is V = π∫(0 to 1) y^(24/11) dy = 11π/35. The option is D) is correct.

To use the Disk Method to find the volume of the solid formed by revolving the region about the y-axis, we can imagine slicing the solid into thin disks perpendicular to the y-axis, with each disk having thickness dy. The total volume of the solid can be found by summing up the volumes of all such disks from y=0 to y=1.

The equation of the curve is y = x^(11/12), so we can solve for x as x = y^(12/11). The region is bounded by y=0, y=1 and x=0.

Now, consider a thin disk located at a distance y from the y-axis. The radius of the disk is given by the distance between the y-axis and the curve at y, which is simply x = y^(12/11). Thus, the radius of the disk is r(y) = y^(12/11). The thickness of the disk is dy.

The volume of the disk is given by the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius of the disk and h is its thickness. Substituting in the values we have for r(y) and dy, we get:

dV = π(y^(12/11))^2 dy

Integrating this expression over the range of y from y=0 to y=1 gives us the total volume of the solid:

V = ∫(0 to 1) π(y^(12/11))^2 dy

Simplifying the integrand, we have:

V = π∫(0 to 1) y^(24/11) dy

Using the power rule of integration, we have:

V = π[(11/35) y^(35/11)](0 to 1)

Evaluating this expression at the limits of integration, we get:

V = π[(11/35) - 0] = π(11/35) = 11π/35

Therefore, the volume of the solid formed by revolving the region about the y-axis is 11π/35 cubic units. The correct answer is D).

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_____The given question is incomplete, the complete question is given below:

Use the Disk Method to set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the y-axis. y = x^(11/12) y=1, x=0

A)  V = π∫(0 to 1) y^(11/12) dy =  11π/70

B)  V = π∫(0 to 1) y^(24/11) dy =  11π/70

C)  V = π∫(0 to 1) y^(12/11) dy =  11π/35

D) V = π∫(0 to 1) y^(24/11) dy = 11π/35

Answer:

n=-4/3

Step-by-step explanation:

So the equation is -2/3n+7=15

First you subtract 7 from both sides: -2/3n+7-7=15-7 : -2/3n=8

Next multiply by 1/-2 on both sides, canceling out the -2 on the left and dividing 8 by -2 on the right: 3n=-4

Next divide by 3 on both sides

Answer: n=-4/3

Answer:

D. (8,1)

Step-by-step explanation:

hope this helps :)

An equation that shows the proportional relationship between cups (c) and tablespoons (n) is: B. c = 0.0625n

A proportion is an equation which is typically used to indicate the equality of two (2) ratios. Therefore, proportions can be used in mathematics to show that two (2) ratios are equivalent and then used to calculate or determine all of the unknown quantities.

Mathematically, a proportional relationship can be represented by the following equation:

y = kx

Where:

Let the cups be represented by c.

Let the tablespoons be represented by n.

Next, we would determine the constant of proportionality (k) as follows:

c = kn

Making k the subject of formula, we have:

k = c/n

k = 0.5/8 ≡ 1.5/24

k = 0.0625.

Substituting the parameters into the equation for a proportional relationship, we have;

c = kn

c = 0.0625n

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Answer:

C = (8/.5)n

Step-by-step explanation:

.5 = 8

1.5 = 24

C = (8/.5)n

Because  

8 divided by .5 = 16

16 * .5 = 8

Ex.2

8 divided by .5 = 16

16 * 1.5 = 24

The answers have been shown below.

Questions regarding the time spent by Jack jogging and bike riding are needed to be answered.

(A) The equations are \(x+y=75, y=15+x\)

Time spent jogging is 30 minutes

The total time would be \(45+60=105\) minutes which is not equal to 75 minutes.

(B) Let \(x\) be the time spent jogging.

\(y\) be the time spent bike riding.

\(x+y=75\\y=15+x\\x+15+x=75\\2x+15=75\\x=\frac{75-15}{2} =30\)

Time spent jogging is 30 minutes.

\(y=60\\x+y=75\)

(C) If he rides his bike 15 minutes longer than he jogs then he would have to jog \(60-15 = 45\) minutes.

Therefore, the total time would be \(45+60=105\) minutes which is not equal to 75 minutes.

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Answer:

B

Step-by-step explanation:

10 + 9 = 19

Answer:

hhhhhhuyihhoh bhouytre

Answer:

☆<《HOPE IT WILL HELP YOU 》>☆

Step-by-step explanation:

quadratic equation is an equation of second degree that use an initially sign in stand of equal sign the solution of quadratic inquality always give the two root

Answer:

For example:

                     \(x^2-5x+3<0\\\\4x>5x^2+1\\\\4x^2-1\geqslant0\\\\5\leqslant-10x^2\)

These are NOT quadratic inequalities:

                                                               \(x^3-5x+3<0\\\\4x^2>5x^5+1\\\\4x^2-x^6\geqslant0\\\\5\leqslant-10x\)

Answer:

17 inches

Step-by-step explanation:

The given shape is square pyramid.

Given,

Height (H) = 8 in

Base side's length (s) = 30 in

To find : Slant height (l)

Formula

l² = H² + (s/2)²

l² = 8² + (30/2)²

l² = (8 x 8) + 15²

l² = 64 + (15 x 15)

l² = 64 + 225

l² = 289

l² = 17 x 17

l² = 17²

l = 17 in

Answer:

I believe this is a "trick" question. From the equations given, I can get 3 different solutions.

Step-by-step explanation:

WY = XZ because corresponding parts of congruent triangles are congruent.

(7p + 13) + 2p = 18 + 4

9p + 13 = 22

9p = 9

p = 1

∠ZXY = ∠WYX because corresponding angles of congruent triangles are congruent.

Because ∠ZXY = ∠WYX, ΔVXY is isosceles and XV = YV

2p = 4 because corresponding parts of congruent triangles are congruent.

p = 2

also, because of congruency,

WV = ZV

7p + 13 = 18

7p = 5

p = 5/7

The triangle ΔWXY and ΔZYX are congruent triangles to each other. Then the value of the variable 'p' will be 1.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The triangle ΔWXY and ΔZYX are congruent triangles to each other. Then the ratio of the corresponding sides will be one. Then the equation is given as,

WX / XZ = 1

XW = XZ

WV + VY = XV + VZ

7p + 13 + 2p = 18 + 4

9p = 9

p = 1

The triangle ΔWXY and ΔZYX are compatible triangles with one another. Then the worth of the variable 'p' will be 1.

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Answer:

YES

Step-by-step explanation:

To solve this inequality, you need to multiply both sides by -5.

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality symbol.

Answer: YES

Answer:

8(h)=96

Step-by-step explanation:

Remember when you are writing a multiplication equation, it's a division backwards.

96/8=h

h×8=96

hope this helps you

goodluck

Answer: 8x=96

Step-by-step explanation:

8X = 96

X = 96/8

X = 12 hours

Answer:

Table B

Step-by-step explanation:

Note that for y to vary inversely as x, an increase in x will cause a decrease in y. Therefore, by careful observation of tables A, B, C, and D, we would notice the following:

In table C:

As x increases from 1 to 2 to 3, y also increases from 26 to 52 to 78. Which means that an increase in x causes an increase in y. This is not an inverse variation.

In table D:

As x increases from 1 to 2 to 3, y also increases from -7 to -1 to 6. Which means that an increase in x causes an increase in y. This is also not an inverse variation.

We are left with options A and B

If y varies inversely as x, the following relationship must hold:

\(y \alpha \frac{1}{x}\\y = \frac{k}{x}\)

Where k is a constant of proportionality

considering option B:

When x = 1, y = 36

36 = k/1

k = 36 * 1

k = 36

when x = 2, y = 36/2

y = 18

when x = 3, y = 36/3

y = 12

These tally with all that is indicated in the table. Option B is an inverse variation

Answer:

A(10) = $13,961.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 5.25/100

r = 0.0525 rate per year,

Then solve the equation for A

The formula is given as:

A = Pe^rt

P = 8259

r = 0.0525

t = 10 years.

Hence,

A = 8,259.00 × e^(0.0525×10)

A = $13,961.50

Therefore, the money that will be in the account after 10 years is $13,961.50