Below are the ages of the starters on two soccer teams.

FC Looneys: 26, 31, 29, 30, 30, 26, 26, 31, 31, 31, 21

Poppers FC: 25, 19, 22, 24, 26, 30, 25, 21, 23, 28, 26

A. Sketch a histogram for each data set. Then describe the shape(skewed/symmetric, modality, outliers) for each.

B. Determine the appropriate measures of center and spread for each data set, according to the shapes. Then Calculate them.(Make sure to only select one measure of center and one measure of spread)

C. Write a comparison, in context, between the two distributions. Make sure to use the appropriate measures of center and spread when comparing. Mention outliers, if any.

Start with the parent function \(y = |x|\) which is a V shape graph that has its vertex at (0,0) and it is the lowest point. Every point has a positive y coordinate other than the vertex of course.

Reflect over the y axis to get \(y = -|x|\), so now everything is negative or below the x axis, other than the vertex point.

Lastly, shift everything up 1 unit by adding 1 onto the right side getting \(y = -|x|+1\)

Answer:

y=absolute value brackets -x end absolute value brackets +1

Step-by-step explanation:

this is the equation that matches

An expression for the height of the nth bounce is 0.80X^N = Height.

Since when dropped, a super ball will bounce back to 80% of its peak height, continuing on in this way for each bounce, to determine an expression for the height of the nth bounce the following calculation must be performed:

Therefore, an expression for the height of the nth bounce is 0.80X^N = Height.

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The largest possible value x could take given that it must be an integer for x < 2 is 1.

The key distinction between an inequality and an equation is that an inequality describes a connection of inequality between two expressions, whereas an equation expresses equality between two expressions. In other words, an inequality shows that one expression is more or less than the other expression, but an equation shows that two expressions have the same value.

The highest number x might have is 1 if x must be an integer and x 2. This is due to the fact that any number higher than one would break the inequality x 2, and any number between one and two that is not an integer would also violate the stipulation that x must be an integer.

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Answer:

24%

Step-by-step explanation:

There are 6 numbers smaller than 7 so you do 6/25 which equals .24

Phase 5: The system of implementation is conversion.

Option B is the correct answer.

We have,

Phase 5 of the system development life cycle is commonly referred to as "Conversion" or "Systems Implementation."

During this phase,

The focus shifts from planning and designing the system to actually implementing it.

This phase involves the conversion of the old system to the new system, which includes activities such as data conversion, software installation, hardware setup, user training, and system testing.

The term "Conversion" is used because it signifies the transition from the old system to the new system.

It involves migrating data, processes, and operations from the existing system to the new system.

This phase ensures that the newly developed system is successfully integrated into the organization and becomes fully operational.

Thus,

Phase 5: The system of implementation is conversion.

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The correct option H0: µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

Paired testing, commonly referred to as auditing, is a practical and easy technique to determine whether and how discrimination is present.

Thus, µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.

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The population of interest is all students at the school, not just the 30 students in the statistics class who were surveyed.

The average hours of television per day in the sample is likely not representative of the average hours of television watched per day in the population. This is because the sample only consists of 30 students from the statistics class, which may not be a diverse and random representation of the entire school population.

The parameter of interest is the average hours of television watched per day by all students at the school.

The numeric value of the statistic corresponding to the above parameter is 12 hours.

The variable measured on each student is the number of hours of television watched per day.

The variable is quantitative, as it involves numerical values.

Two statistics that the student could use to summarize the variable are mean and median. The mean would give the average hours of television watched per day, while the median would provide the middle value in the data, which can help understand the central tendency of the data.

One graph that the student could use to summarize the variable is a histogram. A histogram would show the distribution of the data, which can help visualize how the hours of television watched per day are spread across the sample.

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Answer:

3x + 16/3

Step-by-step explanation:

3(x +1) + 2 1/3 (distribute 3 into parentheses)

3x + 3 + 2 1/3 (calculate)

3x + 5 1/3 (convert to improper fraction)

3x + 16/3 (done)

3x + 16/3

Answer:

3x + 16/3

Step-by-step explanation:3(x +1) + 2 1/3 (distribute 3 into parentheses)

3x + 3 + 2 1/3 (calculate)

3x + 5 1/3 (convert to improper fraction)

3x + 16/3

3x + 16/3

Its true that perpendicular bisectors also exist for the height from an isosceles triangle's vertex angle to its base.

Given that,

We have to find perpendicular bisectors also exist for the height from an isosceles triangle's vertex angle to its base.

We know that

Let us take a triangle ABC and draw an altitude CD

Being an isosceles triangle

In ΔACD and ΔCDB

CD=CD (common )

CA=CB ( equal opposite sides)

∠ A=∠ B (the angle between the opposing sides is also equal)

Triangle ACD and triangle CDB are congruent

So , AD=DB by CPCT

So, its true

Therefore, Its true that perpendicular bisectors also exist for the height from an isosceles triangle's vertex angle to its base.

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Approximate y(0.3) to approximately 0.41818 using Euler's method with a step size of h.

Euler's strategy is one of the most important and simple approaches to settling differential conditions. Linear approximations are used in this first-order approach to solving differential equations. The technique depends on the likelihood that, at different places, we can make little, straight approximations to the game plan to surmised the response for a differential condition.

We have been given the values y(0)=0.5 and y(x)y′=(xy)2. We are told to utilize Euler's technique with a stage size of h0.1 to estimated y(0.3).

Euler's overall strategy is as follows:

This formula can be used to approximate the value of y at x=0.1, 0.2, and 0.3 given that y′ = (x y)2, and f(x_i, y_i) = (x_i - y_i)2 y_i+1 = y_i + h*f(x_i, y_i), where f(x_i, y_i) is the subordinate of y as for x

y(0.1) = 0.5 + 0.1*(0-0.5)2 = 0.475; y(0.2) = 0.475 + 0.1*(0.1-0.475)2 = 0.44846; y(0.3) = 0.44846 + 0.1*(0.2-0.44846)2 = 0.41818; Consequently, we are able to approximate y(0.3) to approximately 0.41818 using Euler's method with a step size of h.

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The composite function N(T(t)) is given by N(T(t)) = 22(8t+1.4)^2 - 58(8t+1.4) + 6.

To find the composite function N(T(t)), we substitute the expression for T(t) into the equation for N(T).

N(T(t)) = 22T^2 - 58T + 6 [Substitute T(t) = 8t+1.4]

N(T(t)) = 22(8t+1.4)^2 - 58(8t+1.4) + 6 [Expand and simplify]

N(T(t)) = 22(64t^2 + 22.4t + 1.96) - 58(8t+1.4) + 6 [Expand further]

N(T(t)) = 1408t^2 + 387.2t + 43.12 - 464t - 81.2 + 6 [Combine like terms]

N(T(t)) = 1408t^2 - 76.8t - 31.08 [Simplify]

Now, to find the time when the bacteria count reaches 9197, we set N(T(t)) equal to 9197 and solve for t.

1408t^2 - 76.8t - 31.08 = 9197 [Set N(T(t)) = 9197]

1408t^2 - 76.8t - 9218.08 = 0 [Rearrange equation]

Solving this quadratic equation will give us the value(s) of t when the bacteria count reaches 9197.

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Answer:

It is not possible for a 9th degree polynomial to have exactly 2 real solutions and 4 imaginary solutions.

By the Fundamental Theorem of Algebra, a polynomial of degree n has exactly n complex roots, counting multiplicities. Since 2 + 4i is a complex number, it can only be a root of a polynomial of degree 1 (a linear function) or higher.

If a 9th degree polynomial has 2 real roots, then it must have 7 complex roots (counting multiplicities). These complex roots can be either purely imaginary or have non-zero real and imaginary parts. However, it cannot have exactly 4 purely imaginary roots and 3 with non-zero real and imaginary parts, since complex roots of a polynomial occur in conjugate pairs. Therefore, it is not possible for a 9th degree polynomial to have exactly 2 real solutions and 4 imaginary solutions.

Step-by-step explanation:

Answer:

  Order of exponentiation can be swapped here, and the fractional power written as a root.

Step-by-step explanation:

The commutative property of multiplication and the rules of exponents apply.

The rule is ...

  (a^b)^c = a^(bc)

The given expression can be rearranged to ...

  \(\left(3^\frac{1}{5}\right)^2=3^{\frac{1}{5}\cdot2}=3^{2\cdot\frac{1}{5}}=\left(3^2\right)^\frac{1}{5}\\\\=9^\frac{1}{5}=\boxed{\sqrt[5]{9}}\)

Answer:

B

Step-by-step explanation:

The side opposite the largest angle is the longest side.

Hope this helps

Answer:

The answer is option 4.

Step-by-step explanation:

As there is a Modulus sign so the answer will be always positive.

e.g

|1.2| = 1.2

|-5.6| = 5.6 (always interested in the positive value)

Step-by-step explanation:

The length of diagonal AC in kite ABCD is 16.1 cm

Pythagoras theorem is used to show the relationship between the sides of a right angled triangle.

A kite is a quadrilateral (4 sides and angles) with two pair of equal consecutive sides.

From the diagram:

DE = 8cm / 2 = 4 cm

Using Pythagoras theorem:

AD² = AE² + DE²

9² = AE² + 4²

AE = 8.06 cm

AC= AE * 2 = 16.1 cm

The length of diagonal AC in kite ABCD is 16.1 cm

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Answer:

I'm think it is 40hours (or 1 1/2 days)

The time it takes for the object to reach its maximum height is 4 seconds.An equivalent expression to this one: -3.5x + 0.2 + 0.8x + 3x + 0.4 is -3.5x + 4.2

Given that s(t) = –4.9t² + 39.2t represents an object launched from ground level directly upward at 39.2 m/s. To find the time it takes for the object to reach its maximum height, we have to use the following formula: t = -b/2aHere, a = -4.9, b = 39.2. The equation can be written as: s(t) = –4.9t² + 39.2t  = -4.9(t² - 8t)

Using the complete the square method: -4.9(t² - 8t + 16) = -4.9(t - 4)² + 78.4We observe that the maximum height occurs when t = 4. Hence, we substitute t = 4 in the equation s(t) and find the maximum height.s(4) = -4.9(4)² + 39.2(4) = 78.4 mHence, the time it takes for the object to reach its maximum height is 4 seconds.An equivalent expression to this one: -3.5x + 0.2 + 0.8x + 3x + 0.4 is -3.5x + 4.2

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The functions are as follows:

Function f: R → R, f(x) = x²

Onto function: The function f is not an onto function since some negative numbers do not have square roots in real numbers.

One-to-one function: The function f is not a one-to-one function since for each positive number "x", there exist two values that we can input and get that positive number "x" output.

Example: Consider -4 which is a negative number. It doesn't have a square root in real numbers.

Function g: R → R, G(x) = x³

On to function: The function g is onto since every real number can be obtained by the function g.

One-to-one function: The function g is one-to-one since for each input "x" there is only one output.

Example: Consider the values x = 2 and x = -2. On inputting these values into the function, we get outputs 8 and -8 respectively. Thus, we get two different outputs for the same value h(x) = x³Function h: Z → Z, h(x) = x³On to function: The function h is onto since every integer has a cube root.

One-to-one function: The function h is not a one-to-one function since for each negative number "x", there exist two values that we can input and get that negative number "x" output.

Example: Consider the input -2. On input this value into the function, we get the output -8. But -(-2)³ = -8. Thus, we get two different inputs for the same value h(x) = x³.

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Answer:

y = 40 + 0.12x

y = 25 + 0.15x

Step-by-step explanation:

Hey Dylan! We're gonna use variable x to represent number of messages sent.

The $40 & $25 dollar payments won't be changed, so they can't have a variable applied to them.

Since it's 12 or 15 cents per text, that's where we wanna put the x.

Since both equations are equal to y, we can set them equal to each other.

40 + 0.12x = 25 + 0.15x

15 = 0.03x

x = 500 messages

Hope this helps! :)

Answer:

5/6

Step-by-step explanation:

1/12 + 3/4 = 9/12

9/12 + 1/12 = 10/12

simplify 10/12

= 5/6

Answer:

0.85x + 1.29y < 5

Step-by-step explanation:

0.85x of potatoes

1.29 y of grapes

0.85x+1.29y<5 is required equation

Inequality represents purchase of x pounds of potatoes for \($0.85\) per pound and y pounds of grapes for \(\$1.29\) per pound with  total cost was less than \(\$5\) is equal to \(0.85x + 1.29y < 5.\)

" Linear inequality is defined as the relation between variables with highest exponent one is related with sign of inequality >, < , ≤, ≥."

According to the question,

'x' pounds represents the weight of potatoes

'y' pounds  represents the weight of grapes

Cost of potatoes per pound = \(\$0.85\)

Cost of grapes per pound = \(\$1.29\)

Total cost used to purchase the items = \(\$5\)

Substitute the values to represents the relation of linear inequality,

\(0.85x + 1.29y < 5\)

Hence, linear inequality represents Dan purchase is \(0.85x + 1.29y < 5.\)

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Answer:

what the questions

Step-by-step explanation:

5. 43 2 918 13 16 4

Answer:

questions pls

Step-by-step explanation:

43 2 918 13 14 4

Answer: 155°

because ∠a and ∠c are 2 opposing angles => m∠a = m∠c = 155°

Step-by-step explanation:

Answer:

find out little kid

Step-by-step explanation:

LoL

Answer:

(a) False

(b) False

(c) True

Step-by-step explanation:

(a) If we had measured the heights of the men and women in centimeters (1 inch= 2.54 cm), the correlation coefficient would have been 2.54 times larger.

No, since changing the units of measurement does not change the correlation coefficient

(b) There is a strong negative association between the heights of men and women because women are always smaller than the men they date.

Negative association means that as one variable increases, the other decreases, Here, we see that as the heights of the men increase, the height of the women do not reliably decrease, hence there is no strong negative asscoiation

(c) There is a positive association between the heights of men and women.

We see from the values given that as the heights of men increase, so do the heights of women and vise versa, so there is a positive association between the heights of men and women

The speed of a point on the wheel rim is 35000π cm/s (2500 rev/min and 14cm diameter).

what is circumference ?

Circumference is the distance around the edge of a circle. It can be calculated using the formula: C = 2πr, where C is the circumference and r is the radius of the circle.

To express the speed of a point on the rim of the wheel in centimeters per second, we first need to find the circumference of the wheel using the diameter. The circumference can be found using the formula: C = 2πr, where C is the circumference and r is the radius of the wheel.

Since the diameter is 14cm, the radius of the wheel is 14/2 = 7cm.

Therefore, the circumference of the wheel is: C = 2π(7) = 14π cm

Next, we need to find the distance traveled by a point on the rim of the wheel in one revolution. This distance is equal to the circumference of the wheel.

So, the distance traveled by a point on the rim of the wheel in one revolution is: 14π cm

To find the speed in centimeters per second, we need to multiply the distance traveled in one revolution by the number of revolutions per minute.

The wheel rotate 2500 revolution per minute.

The speed of a point on the wheel rim is 35000π cm/s (2500 rev/min and 14cm diameter).

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Circumference is the distance around the edge of a circle. It can be calculated using the formula: C = 2πr, where C is the circumference and r is the radius of the circle.

We must first determine the circumference of the wheel using the diameter in order to describe the speed of a point on the rim of the wheel in centimeters per second. The formula C = 2r, where C is the circle and r is the radius of the wheel, can be used to determine the circumference.

Since the diameter is 14cm, the radius of the wheel is 14/2 = 7cm.

Therefore, the circumference of the wheel is: C = 2π(7) = 14π cm

Answer:

$702 commission

Step-by-step explanation:

12000(.1) = 1200

12000-1200 = 10800

10800(0.065) = 702

Answer:

ok my guy i got you . ez its if you realize my boy you can just imagine your in of coruse you will have to sub 6.5 by 10 after you get yo precent then take 12,000 and divide it then see what you get Thats all i can say my dude ...

Step-by-step explanation:

Answer:

A is the answer! Yeah

Step-by-step explanation:

You wanna get this done so im not gonna add an ex

Answer:

Q.1 360° Q.2 360°

Step-by-step explanation:

Q.1 let the third angle of the triangle be a

70°+40°+a=180(by angle sum property)

110°+a=180

a=180°-110°

a=70°

angle x=70°+x=180°(linear angle)

x=180°-70°

x=110°

angle z= 40°+z=180

z= 180°-40°

z=140°

angle y=a+y=180°

70°+y=+80°

y=180°-70°

y=110°

y+z+x=110° +110° +140°=360

Q.2 let the fourth angle of the quadrilateral be x

120°+70°+60°+ x=360° (by angle sum property)

250°+x=360°

x=360°-250°

x=110°

angle a=120°+a=180°(by linear angle)

a=180°-120°

a=60°

angle b=70°+b=180°

b=180°-70°

b=110°

angle c=x+c=180°

110° + c=180°

c=180°-110°

c=70°

angle d=60°+d=180°

d= 180° -60°

d=120°

a+b+ c+d=120°+110°+60°+70°=360°