6TH GRADE MATH PLS HELP TY

P-value >= 0.05 and adequate evidence supporting the organization's opinion at the a=0.05 significance level prevent the null hypothesis from being rejected.

A common statistical theory called the null hypothesis asserts that there is no statistical relationship or significance between two sets of observed data and measured events for a given single observed variable.

The alternative and null hypotheses are listed below. μ = 61

61 Alternative Hypothesis

Rejection Area

For = 0.05, this test has two tails.

Z has a critical value between -1.96 and 1.96.

Reject H0 thus if z -1.96 or z > 1.96

The test statistic is z = (xbar - mu)/(sigma/sqrt(n)) z = (61.5 - 61)/(2.5/sqrt(95)) z = 1.95.

P-value P-value for the method is 0.0512.

Failure to reject the null hypothesis because P-value >= 0.05.

Approach to the Rejection Zone

Failure to reject the null hypothesis because the test statistic z is within the crucial value range.

P-value >= 0.05 and adequate evidence supporting the organization's opinion at the a=0.05 significance level prevent the null hypothesis from being rejected.

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Answer: 17/60 = 0.283333333333

25/60 = 0.416666666667

54/72 = 0.75

31/44 = 0.704545454545

Step-by-step explanation:

Answer:

(-5, 4) The x value is -5, and the y value is 4.

The meaning of |-36| is  the absolute value of negative 36.

We know that, the absolute value of any real number m is the positive value of m.

For any ±m ∈ R,

| ±m | = m

The absolute value of a number is also know as modulus of number.

In this question we have been given an absolute value |-36|

|-36| = 36

So, the meaning of |-36| would be,

- the absolute value of negative 36

Therefore, the meaning of |-36| is  the absolute value of negative 36.

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Answer:

252

Step-by-step explanation:

I'm assuming the people are different, so it should be 10 choose 5, or 10!/(5!)(10-5)!, which leads to 3628800/14400, or 252.

Answer:

the answer is 17

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

f - 6 = -2f + 3(f - 2)

f - 6 = -2f + 3f - 6

f + 2f - 3f = -6 + 6

0 = 0

Every number is solution this equation.

The most basic and common reason to use parentheses, brackets, and braces is to control the order of operations.

In mathematics, parenthesis is used to arrange numbers in the sequence of operations, clarify numbers, and denote multiplication.

Suppose you have an expression as:-

E = { ( 5-2 )8} 6

In this case, you would calculate 5 minus 2 first (parentheses), then multiply by 8 (brackets), then complete the part inside the curly braces, and finally multiply by 6.

Therefore the most basic and common reason to use parentheses, brackets, and braces is to control the order of operations.

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The sixth term of the geometric sequence is 2048.

The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.

The formula for the nth term (an) of a geometric sequence is given by:

an = a1 * r^(n-1)

where a1 is the first term and r is the common ratio.

For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:

an = 2 * 4^(n-1)

To find a6, we substitute n = 6 into the formula:

a6 = 2 * 4^(6-1)

  = 2 * 4^5

  = 2 * 1024

  = 2048

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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,

Then find a6. Round to the nearest tenth if necessary.

a = 5×4 X

a1 = n-1 X

9514 1404 393

Answer:

  $6190.48

Step-by-step explanation:

The price is now 1 -16% = 84% of the original price (p).

 $5200 = 0.84p

  p = $5200/0.84 = $6190.48

The price before the discount was $6190.48.

Answer:

Ok to find the surface area of this cylinder first we need the circumference to find this we do C=πd

C=3.14*18

C=56.52

now we have to multiple this by the height of two

113.04

now we have to find the area of the bottom to do this we do A=πR^2

A=3.14*81

A=254.34

multiple this by two for the two sides we get

508.68

now we add this to 113.04 we get

621.72

since I used 3.14 instead of more digits of pie we can round this up so the answer is C.

Your Welcome

BIFFY OUT!!!

The equation for the line of best fit is given as follows:

y = 50x/3.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b.

The parameters of the definition of the linear function are given as follows:

From the graph, when x = 0, y = 0, hence the intercept b is given as follows:

b = 0.

Hence:

y = mx.

When x = 3, y = 50, hence the slope m is given as follows:

3m = 50

m = 50/3.

Hence the equation is:

y = 50x/3.

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An example that demonstrates the failure of a greedy algorithm is the Knapsack problem, which is a problem in combinatorial optimization. The problem is to maximize the value of items placed in a knapsack with a given weight capacity.

What is greedy algorithm?

Any algorithm that employs the problem-solving heuristic of selecting the locally optimal option at each stage is said to be greedy.

A greedy algorithm is an algorithmic paradigm that follows the problem-solving heuristic of making the locally optimal choice at each stage with the hope of finding a global optimum.

One way that the greedy algorithm can fail is if the problem has multiple locally optimal solutions that lead to different global optimal solutions.

For example, consider the problem of finding the shortest path through a maze. Suppose that the maze has two different paths that are both the same length, but one leads to the exit while the other does not. A greedy algorithm that always chooses the shorter path at each step will get stuck in the path that does not lead to the exit, because it is making locally optimal choices but not finding the global optimal solution.

Another way that the greedy algorithm can fail is if the problem requires a certain amount of "lookahead" in order to find the optimal solution. For example, consider the problem of scheduling a set of tasks with given start and end times and durations. A greedy algorithm might always choose the task with the earliest start time at each step, but this may not lead to the optimal schedule if the task with the earliest start time has a long duration and conflicts with other tasks that need to be completed later. In this case, the greedy algorithm needs to consider the duration of the tasks and the effect on future tasks in order to find the optimal solution.

An example that demonstrates the failure of a greedy algorithm is the Knapsack problem, which is a problem in combinatorial optimization. The problem is to maximize the value of items placed in a knapsack with a given weight capacity. A greedy algorithm might always choose the item with the highest value-to-weight ratio at each step, but this may not lead to the optimal solution if the items with the highest value-to-weight ratio do not fit in the knapsack or if they leave no room for other items with lower value.

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Answer:

Graph B on Edg

Step-by-step explanation:

Starts at 4 goes down to 2 then back up to 4

In this relationship, the arc length is inversely Proportional to the area. As the area increases, the arc length decreases, and vice versa.

The relationship between the arc length (s) and the area (a) of a sector, let's start by understanding the formulas for each.

The arc length of a sector can be calculated using the formula:

s = θr

where s is the arc length, θ is the central angle of the sector in radians, and r is the radius.

The area of a sector can be calculated using the formula:

a = (1/2)θr^2

where a is the area, θ is the central angle of the sector in radians, and r is the radius.

Given that the arc length is equal to one fourth of the radius, we can express this relationship as:

s = (1/4)r

Now, let's express the central angle (θ) in terms of the area (a).

From the formula for the area of a sector, we can rearrange it to solve for θ:

a = (1/2)θr^2

Multiplying both sides by 2/r^2, we get:

2a/r^2 = θ

Substituting this value of θ back into the equation for the arc length (s), we have:

s = (1/4)r = (1/4)r(2a/r^2) = (1/2a)r

Therefore, we have expressed the arc length (s) as a function of the area (a) of the sector:

s = (1/2a)r

In this relationship, the arc length is inversely proportional to the area. As the area increases, the arc length decreases, and vice versa.

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SOLUTION:

Case: Equations

Method:

The following:

1. Vertical asymptote: None

2. Horizontal asymptote: None

3. x-intercept

4. y-intercepts

Final answer:

I) None

II) None

III) (-0.646, 0), (4.646, 0)

IV) (0, 3)

Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

The functions for this problem are classified as follows:

a) q(x) is an odd function.

b) r(x) is an even function.

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To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:

1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:

   4x3 + 5x = -21

2. Factor out x from the left-hand side of the equation:

   x(4x2 + 5) = -21

3. Divide both sides by (4x2 + 5):

   x = -21 / (4x2 + 5)

So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.

Answer: No Solution

Step-by-step explanation: The equation is -3x - 9 = -3x - 8, since both are the same x value but different subtraction values, which means it is no solution, not infinite solutions.

Answer: X ≥ 5 or X ≥ 2

Step-by-step explanation:

Add 3 to both sides for the first equation

x ≥ 5

and subtract 5 from both sides for the second one

x ≥ 2

Answer:

\((-\infty,2)\)

Step-by-step explanation:

Since \(-3x+6\nless 0\), then \(x\ngtr 2\), therefore, the domain of the function is \((-\infty,2)\).

To solve the question, it will help to plot the points using a graphing calculator. This is shown below:

The image is a parallelogram. This means that:

From the graph, the length of MA will be:

Using the distance formula, we can solve for the length of line MH:

We have the coordinates to be:

Hence, we have:

PERIMETER

The perimeter is calculated by adding all the sides. Therefore, the perimeter will be:

The perimeter is 19.2 units.

AREA

The area of a parallelogram is calculated using the formula:

Therefore, we have:

The area is 18 square units.

Answer:7

Step-by-step explanation:

       The equation representing the relationship between Electricity and  Gas used, and your Bill is:

      T  =  0.25 * k + 0.97 * t

        Make a plan:

We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).

T  =  0.25  *  k  +  0.97  *  t

1 - Write the Equation for the cost of Electricity:

        0.25 * k

2 - Write the Equation for the Cost of Gas:

       0.97 * t

3 - Combine the Equations to Represent the total Monthly Bill (T):

       T  =  0.25 * k + 0.97 * t

Hence,  The equation representing the relationship between Electricity and  Gas used, and your Bill is:

       T  =  0.25 * k + 0.97 * t

I hope that helps!

Answer:

The inequality that represents this situation is 15x + 10y ≥ 1100, since Ezra needs to earn at least $1100 to buy the laptop.

To check if (60, 20) is a solution to this inequality, we need to substitute x = 60 and y = 20 into the inequality and see if it is true:

15(60) + 10(20) ≥ 1100

900 + 200 ≥ 1100

1100 ≥ 1100

Since 1100 ≥ 1100 is true, this means that (60, 20) is a solution to the inequality. This means that if Ezra works 60 hours mowing lawns and 20 hours walking dogs, he will earn enough money to buy the laptop.

The point (60, 20) represents the combination of hours worked for mowing lawns (x) and walking dogs (y) that will result in Ezra earning enough money to buy the laptop. The x and y values are the inputs or variables, while the inequality 15x + 10y ≥ 1100 is the constraint that must be satisfied. The solution (60, 20) is the output or result of the system of inequalities, and represents the combination of hours worked that will satisfy the constraint.

Answer: 16j^3+2

Step-by-step explanation: