The tables represent hat sizes measured in inches for two softball teams.


Pelicans
21.5 25 22
21 22 23
22.5 24 21.5
22 23.5 22
23.5 22 24.5
Falcons
22.5 20 23.5
21 24 22
20.5 21.5 23
23 22.5 21
24 22 24.5


Which team has the largest overall size hat for their playersThe tables represent hat sizes measured in inches for two softball teams.


Pelicans
21.5 25 22
21 22 23
22.5 24 21.5
22 23.5 22
23.5 22 24.5
Falcons
22.5 20 23.5
21 24 22
20.5 21.5 23
23 22.5 21
24 22 24.5


Which team has the largest overall size hat for their players? Determine the best measure of center to compare and explain your answer.
Falcons; they have a larger median value of 22.5 inches
Pelicans; they have a larger median value of 22 inches
Falcons; they have a larger mean value of about 22 inches
Pelicans; they have a larger mean value of about 23 inches? Determine the best measure of center to compare and explain your answer.
Falcons; they have a larger median value of 22.5 inches
Pelicans; they have a larger median value of 22 inches
Falcons; they have a larger mean value of about 22 inches
Pelicans; they have a larger mean value of about 23 inches

Answer:

Step-by-step explanation:

If I were to solve for x, the answer would be x  ≤  − 5.

Answer:

x ≤ -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Inequality

-4x + 10 ≥ 5x + 55

Step 2: Solve for x

Here we see that any value x smaller than or equal to -5 would work as a solution to the inequality.

The set of vectors {x, cos(x)} is linearly independent as per the concept of linearity of vectors.

To determine if the set of vectors {x, cos(x)} in F(-∞, ∞) is linearly dependent, we need to check if there exist scalars c1 and c2, not all zero, such that c1x + c2cos(x) = 0 for all values of x in the given interval.

Let's consider a specific value of x, say x = 0.

Plugging this value into the equation, we have c1(0) + c2cos(0) = 0. Since cos(0) = 1, the equation simplifies to c2 = 0.

Now, considering another specific value of x, say x = π/2, we have c1(π/2) + c2cos(π/2) = 0. Again, cos(π/2) = 0, so the equation simplifies to c1(π/2) = 0. This implies that c1 = 0.

Since c1 = c2 = 0, the only solution to the equation c1x + c2cos(x) = 0 for all x in F(-∞, ∞) is the trivial solution. Therefore, the set of vectors {x, cos(x)} is linearly independent.

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The complete question:

By using appropriate identities, where required, determine which of the following sets of vectors in F(-∞, ∞) are linearly dependent.

a. x, cosx

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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Answer:

x = 11

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

To solve use PEMDAS.

Answer:

the answer is C

Step-by-step explanation:

The negative graph has

So the equetion for the negative slop is y= -m + b

from the given 3 equetion C fulfill all the requirment .

So the answer is C

The correct answer is OD. Although the word "then" appears in the statement, it is not used as a logical connective. So the statement is not compound.

The statement "If Laura sells her quota, then Marie will be happy" is a single declarative sentence. It consists of a conditional clause ("If Laura sells her quota") and a consequent clause ("then Marie will be happy"). However, these two clauses are not independent statements that can stand alone. Instead, they are connected in a cause-and-effect relationship. The word "then" in this context is not functioning as a logical connective, but rather as an indicator of the consequent clause.

A compound statement is formed by combining two or more independent statements using logical connectives such as "and," "or," or "if...then." In the given statement, there is no logical connective joining two independent statements.

Therefore, the statement is not compound.

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cos 29 = 1. 9 / x

Cross - mulitply, we have:

x = 1. 9 / cos 29

x = 2.17 feet = 2. 2 feet ( nearest tenth )

Yes, it is possible for two different pairs of numbers to have the same geometric mean. It is the nth root of the product of the numbers.

The geometric mean of a set of numbers is the nth root of the product of the numbers, where n is the total number of values in the set. The geometric mean is a measure of central tendency that is useful for calculating the average growth rate, finding a common ratio, or comparing values that are exponentially related.

To illustrate that two different pairs of numbers can have the same geometric mean, let's consider the following examples:

Pair 1: 2 and 8

Pair 2: 4 and 4

For Pair 1, the geometric mean is √(2 * 8) = √16 = 4.

For Pair 2, the geometric mean is √(4 * 4) = √16 = 4.

As we can see, both pairs have the same geometric mean of 4, even though the individual numbers in each pair are different. This shows that different pairs of numbers can have the same geometric mean. However, it is important to note that in general, there are infinitely many pairs of numbers that can have the same geometric mean.

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The transformed function would be g(x) = 2log5(x + 6) + 4. The vertical stretch by a factor of 2 indicates that the y-values of the original function are multiplied by 2, which makes the curve steeper. The horizontal shift to the left by 6 units means that the x-values of the original function are decreased by 6, and the curve is moved to the left.

The upward shift by 4 units means that the entire graph of the transformed function is raised 4 units vertically, and the curve is shifted upwards.

To graph the transformed function, we can first plot some points of the original function f(x)=log5(x), then apply the transformations. For example, when x=1, f(x)=0, and when x=5, f(x)=1. We can then shift the points left by 6 units and multiply the y-values by 2, and shift the graph up by 4 units. This would give us the corresponding points of the transformed function g(x) = 2log5(x + 6) + 4. By connecting the transformed points, we can graph the transformed function.

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The equation representing vertical stretching of y = x³ by a factor of 4, will be y = 4x³.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The function y = x³, and we need to b it vertically by a factor of 4. So, this can be simply done by multiplying the function (x³) by 4.

Therefore, the b representing vertical stretching of y = x³ by a factor of 4, will be y = 4x³.

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The equation y = x³ with a vertical stretched by a factor of 4 is y = x³ + 4.

Option A is the correct answer.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

y = x³

Vertically stretched by a factor of 4 means,

y = x³ + 4

Thus,

y = x³ + 4 is the equation.

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Answer:

answer 4950

Step-by-step explanation:

first divide6600by 100 &multiply by 25 ans. is 1650

subtract 6600 by 1650 ans. is 4950

The present value that must be invested to get $19,000 after 4 years at an interest rate of 11.5% is $13,013.70

What is simple interest?

The simple interest of an investment is determined as the principal investment, also known as the present value multiplied by the interest rate and the number of years, which means that the future value can be modeled as shown below:

A=PRT+P

A=P(RT+1)

A=future value=$19,000

P=present value=unknown

R=rate of return=11.5%

T=number of years that investment lasted=4

$19,000=P*(11.5%*4+1)

$19,000=P(0.46+1)

$19,000=P*1.46

P=$19000/1.46

P=$13,013.70

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Answer:

a = 65

b = 65

Step-by-step explanation:

a = 65 becasue of corresponding angles.

a and b are opposite angles of a parallelogram.

b = a = 65

Answer:

a=65° b=65°

Step-by-step explanation:

from the diagram,

b=65° (alternative angles are equal)

a=65° (corresponding angles are equal)

Answer:

a = 4

Step-by-step explanation:

So your goal here is to get the variable on just one side, so add 4a to both sides.  This cancels out the 4a on of of the sides and puts a on the other side.  The new equation is 8 = -2a + 4a.  Combine like terms to get 8 = 2a.  Divide both sides by 2 to get a = 4.    You can check your work by replacing a with 4:  

8 - 4(4) = -2(4)

8 - 16 = -8

-8 = -8

Since the final result is true, (-8 does equal -8,) a = 4.  

The graph of line a and line b is shown in the image attached below. The lines do not intersect each other.

To check if both lines intersect, we need to graph the system of equations. First, use the points given to write out the equations.

Line a:

Slope (m) = change in y / change in x = 6 - 4 / 8 - 0 = 2/8

m = 1/4

Find the y-intercept (b) by substituting m = 1/4, x = 0 and y = 4 into y = mx + b:

4 = 1/4(0) + b

b = 4

The equation of line a is: y = 1/4x + 4.

Line b:

Slope (m) = change in y / change in x = 1 - (-2) / 8 - 0

m = 3/8

Find the y-intercept (b) by substituting m = 3/8, x = 0 and y = -2 into y = mx + b:

-2 = 3/8(0) + b

b = -2

The equation of line b is: y = 3/8x - 2.

Both lines are graphed in the image attached below. Line a is the red line and line b is the red line. They do not intersect at any point.

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Answer:

Sin 18° = cos 72° and sin 72° = cos 18°

Step-by-step explanation:

According to trigonometry identity;

sin Ф = cos(90 - Ф)

for Sin 18° = cos 72

Ф = 18°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 18 = cos(90 - 18)

Sin 18 = cos 72

Hence the statement id true

For sin 72° = cos 18

Ф = 72°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 72 = cos(90 - 72)

Sin 72 = cos 18

Hence this statement too is correct

The two correct statements are Sin 18° = cos 72° and sin 72° = cos 18°

The domain of a graph is the possible x-values of the graph, while the range is the possible y-values.

From the attached graph, we have the following observations.

Other values of x have corresponding negative y-values

The maximum of the graph is at y = 15

Because the volume of a box cannot be negative, the x-values to use must correspond to non-negative y-values.

Hence, the proper domain of Noah's graph should be 0 to 2.5 and the maximum of the graph is at y = 15

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Noah finds an expression for V(x) that gives the volume of an open-top box in cubic inches in terms of the length x in inches of the cutout squares used to make it. This is the graph Noah gets if he allows x to take on any value between -1 and 5.

====================================================

Explanation:

In this case,

We can set up the proportion

A/B = C/D

Which cross multiplies to

A*D = B*C

Let's plug in the known values and solve for C

A*D = B*C

(1/4)*(1) = (2/3)*C

1/4 = (2/3)*C

(2/3)*C = 1/4

3*(2/3)*C = 3*(1/4) ..... multiply both sides by 3

2C = 3/4

(1/2)*2C = (1/2)*(3/4) .... multiply both sides by 1/2

C = (1*3)/(2*4)

C = 3/8

The train travels 3/8 of the distance in 1 hour.

Answer: Value of B= 75  Basketball cards

Step-by-step explanation:

STEP 1

let number of cards Steve has be =a

let number of cards Claire has be =b

STEP 2

Steve has a= 84 basketball cards

Claire has 7 times less than Steve = 84 /7 = 12=b

STEP 3

if Claire buys 63 more cards

The present value of card Clare now has = 12 +63 = 75 basket ball cards=b

Answer:

c = 48

Step-by-step explanation:

Given c varies directly as a and inversely as b then the equation relating them is

c = \(\frac{ka}{b}\) ← k is the constant of variation

To find k use the condition c = 15 when a = 18 and b = 40 , then

15 = \(\frac{18k}{40}\) ( multiply both sides by 40 )

600 = 18k ( divide both sides by 18 )

\(\frac{600}{18}\) = k

\(\frac{100}{3}\) = k

c = \(\frac{100a}{3b}\) ← equation of variation

When a = 36 and b = 25 , then

c = \(\frac{100(36)}{3(25)}\) = \(\frac{3600}{75}\) = 48

Answer:

(-3^3 x 2/3)

(-3^2)

9

answer is 9

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The exact value of secθ in simplest radical for is 1.083

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We are Given θ is an angle in standard position.

Its terminal side passes through the point (12, -5).

To find the exact value of secθ in simplest radical form.

When θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of secθ is:

So, we have x = 12 and y = -5 which is in the first quadrant.

Therefore,

r² = x² + y²

r² = ( 12 )² + ( -5 )²

r² = 144 + 25

r² = 169

r = 13

Then,

sec θ = 1/cosθ

sec θ = [ 1/(x/r) ]

sec θ = r/x

sec θ = 13/12

sec θ = 1.083

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Answer:

For part A the answer is B (the second one)

For part B I would say there is a 50 percent chance for the chip to land on red so the students should have the last chip land on red on the 9th trial because there would be a more than fifty percent chance for the chip to land on red.

first trial 128/2 = 64,

second trial 64/2 = 32,

third trial 32/2 = 16,

fourth trial 16/2 = 8,

fifth trial 8/2 = 4,

sixth trial 4/2 = 2,

seventh trial 2/2 = 1,

eighth trial 1 chip 50/50 chance,

9th trial 1 chip 75/25 chance for the chip to land on red.

Let's check

See the word off side so it is deducted ,

General formula is ar^n-1

So correct answer is

Answer:

M1=24

Step-by-step explanation:

I ADD EFED

The term​ annuity is best described as​ a stream of equal installments made at equal time intervals​.

An annuity is a term used to define a series of payments of equal size at equal intervals. Equal time intervals such as months, quarters, or years, and uniform payments are the two characteristics that make a series of payments an annuity. Therefore, a series of payments can be an annuity however all series of payments are not annuities. If the series of payments is of different values or at different intervals, it is not considered to be an annuity. An annuity that provides for payments for the remainder of a person's lifetime is known as a life annuity.

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Answer:

f = food variable

d = number of days

Equation: f = 1.5d

The number of ways to chose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office is 11880.

If the person cannot hold more than one office.

Then the number of ways of selecting a president, vice president, secretary and treasurer of the club from the club consisting of 12 member is given by the permutation ¹²P₄.

Because we have to select four member out of 12,

So, solving further,

= ¹²P₄

= 12!/(12-4)!

= 12!/8!

= 12 x 11 x 10 x 9

= 11880.

So, there are a total of 11880 ways to chose the members.

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Complete question - A club has 12 members A president, a vice president, a secretary, and a treasurer are to be chosen from these members. A member cannot serve for more than one position. In how many ways can this be down?

Answer:

the yellow one

Step-by-step explanation:

because it is less and is this scientific notation