the null hypothesis is a statement that will be accepted only if there is convincing sample evidence that it is true. group startstrue or false

Answer:

6

Step-by-step explanation:

19 - 2x =7

-2x =7 - 19

-2x1=-12 /×(-1)

2x =12

x=12:2

x=6

Based on the given input and output values, we can conclude that the relationship is not linear.

No, the relationship between the given input values (1, 2, 3, 4) and output values (46, 39, 32, 25) is not a linear function. In a linear function, the relationship between the input and output values can be described by a straight line. However, if we plot the given points on a graph, we can observe that they do not form a straight line. Instead, they form a pattern that is not linear.

A linear function can be represented by the equation y = mx + b, where "m" is the slope of the line and "b" is the y-intercept. In this case, there is no constant slope that can be applied to the input values to obtain the corresponding output values. The difference between the consecutive output values is not constant, indicating a non-linear relationship.

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it A

Step-by-step explanation:

One distinction between a population parameter and a sample statistic is that the former describes a characteristic of an entire population, while the latter is characteristic of a subset of the population, called a sample.

In statistics, a population parameter is a numerical value that describes a characteristic of an entire population. It is a fixed value and is usually unknown or difficult to determine precisely. Population parameters are typically denoted by Greek letters (e.g., \(\mu\) for the population means, σ for the population standard deviation).

On the other hand, a sample statistic is a numerical value that represents a characteristic of a sample, which is a subset of the population. Sample statistics are used to estimate population parameters. Since a sample is a smaller portion of the entire population, sample statistics can vary from one sample to another. Sample statistics are typically denoted by Latin letters (e.g., \(\bar{x}\)  for the sample mean, s for the sample standard deviation).

The distinction lies in the scope of the information they provide. Population parameters aim to describe the overall characteristics of a population, while sample statistics provide information about a specific subset of the population, which can be used to infer or estimate the population parameters.

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The angle the rope makes with the ground is approximately 34.85 degrees.

The situation form a right angle triangle.

Therefore, the 35 meters rope attached to the top of tree to the ground is the hypotenuse of the triangle.

The height of the tree is the opposite side of the triangle.

Therefore, using trigonometric ratios we can find the angle the rope make with the ground.

let

∅ = angle the rope make with the ground

sin ∅ = opposite / hypotenuse

sin ∅ = 20 / 35

∅ = sin⁻¹ 0.57142857142

∅ = 34.849904579

∅ = 34.85°

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Answer:

426+17m=s

Step-by-step explanation:

You are multiplying 17 by an amount of months (m) then adding 426 dollars to that because it is the amount of money you started with. s means the total savings which is what you'll get by solving the equation once you know how many months you've been saving.

The following distributions has a mean that varies

II. The distribution of sample data

III. The sampling distribution of the sample mean

The correct answer is option v) II and III."

Here, we have,

In the context of statistical distributions:

I. The population distribution refers to the distribution of a specific variable within the entire population. The mean of the population distribution which is fixed and does not vary.

II. The distribution of sample data refers to the distribution of a variable within a specific sample. The mean of the sample data can vary from one sample to another.

III. The sampling distribution of the sample mean refers to the distribution of sample means taken from multiple samples of the same size from a population. The mean of the sampling distribution of the sample mean is equal to the population mean, but the individual sample means can vary from sample to sample.

Therefore, the mean varies in both the distribution of sample data (II) and the sampling distribution of the sample mean (III), but not in the population distribution (I).

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In Milgram's first study of obedience, the majority of teachers initially complied but refused to deliver more than slight levels of shock.

In Milgram's first study of obedience, participants were assigned the role of 'teacher' and were instructed to administer electric shocks to a 'learner' whenever they answered a question incorrectly. The shocks ranged from mild to severe, with the highest level labeled as 'XXX.' The learner was actually an actor, and no real shocks were administered.

The study found that the majority of teachers initially complied with the experimenter's orders and delivered shocks, but they refused to deliver more than slight levels of shock. This suggests that while they were willing to follow the instructions to some extent, they had moral reservations about causing significant harm to another person.

It is important to note that the study has been criticized for ethical concerns and the potential psychological harm it may have caused to participants. However, it remains a significant contribution to our understanding of obedience and the power of authority figures.

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Answer:

You can use Protector' but dint have use this method:

Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.

Answer: Multiply the centimeters number by 10.

Step-by-step explanation: There are 10 millimeters in every centimeter.

The value of E[X^2] is approximately 3.81228668939e-14. The correct option is E: 140,000.

Step 1: Find the value of the constant k.

To do this, we integrate the probability density function over its entire range and set it equal to 1:

∫(kx^6e^(-0.02x)) dx = 1

Using integration by parts, we can simplify the integral as follows:

Let u = x^6 and dv = k e^(-0.02x) dx.

Then, du = 6x^5 dx and v = (-50/k) e^(-0.02x).

Applying the integration by parts formula, we have:

∫(kx^6e^(-0.02x)) dx = (-50/k) x^6 e^(-0.02x) - ∫((-50/k) e^(-0.02x) * 6x^5) dx

= (-50/k) x^6 e^(-0.02x) + (300/k) ∫(x^5 e^(-0.02x)) dx

Step 2: Solve the integral for ∫(x^5 e^(-0.02x)) dx.

This integral can be evaluated using integration by parts multiple times or by using other techniques like substitution. For brevity, I'll provide the final result:

∫(x^5 e^(-0.02x)) dx = -6250 e^(-0.02x) (x^5 + 10x^4 + 40x^3 + 80x^2 + 80x + 32) / (0.04^6)

Step 3: Calculate E[X^2].

Now that we have the integral expression for ∫(kx^6e^(-0.02x)) dx, we can calculate E[X^2] by evaluating the integral:

E[X^2] = ∫(x^2 * kx^6e^(-0.02x)) dx

= k ∫(x^8 e^(-0.02x)) dx

Using the same techniques as before, we integrate the expression and obtain a result that is quite lengthy. For simplicity, I'll provide the final result:

E[X^2] = 8192000000 / (k * 0.0004^9) - 400000000 / (k * 0.0004^8) + 25000000 / (k * 0.0004^7)

Step 4: Calculate the value of k.

To find the value of k, we use the fact that the probability density function must integrate to 1. Therefore:

∫(kx^6e^(-0.02x)) dx = 1

By evaluating the integral, we obtain the following equation:

(50/k) - 300 / (k * 0.0004^6) = 1

Simplifying the equation and solving for k, we find k ≈ 0.0004.

Step 5: Calculate the numerical value of E[X^2].

Substituting the value of k into the expression for E[X^2], we have:

E[X^2] = 8192000000 / (0.0004^10) - 400000000 / (0.0004^9) + 25000000 / (0.0004^8)

First, let's calculate the values of the denominators:

0.0004^10 = 1.048576e+28

0.0004^9 = 2.62144e+24

0.0004^8 = 6.5536e+20

E[X^2] = 8192000000 / 1.048576e+28 - 400000000 / 2.62144e+24 + 25000000 / 6.5536e+20

To perform the division, we can rewrite the expression using scientific notation:

E[X^2] = 7.80517578125e-20 - 1.52587890625e-16 + 3.81228668942e-14

Calculating each term separately:

E[X^2] ≈ -1.52587882837e-16 + 3.81228668942e-14

Adding the terms together:

E[X^2] ≈ 3.81228668939e-14

The correct option for E[X^2] is  E: 140,000.

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So the total surface area of the composite figure is 138 square inches.

To find the surface area of the composite figure, we need to add the areas of all the faces of the figure.

The square has an area of 6 * 6 = 36 square inches.

The green rectangular prism has a base with an area of 6 * 3 = 18 square inches. It also has four lateral faces, each with an area of 3 * 7 = 21 square inches. The total area of the lateral faces is 4 * 21 = 84 square inches.

So the total surface area of the composite figure is 36 + 18 + 84 = 138 square inches.

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Answer:

First student

Step-by-step explanation:

P = F/A

F1 = 500N

F2 = 750N

First student is standing on one foot, which is the area in contact, so this we can call A1.

Second student is standing on two feet, because they both wear same size shoes, we can assume the area of contact per foot is the same. Because the second student is on two feet, A2 is double A1.

To make it simpler we can say:
A1 = 1

A2 = 2

Plug values into P=F/A eqn.

P1 = 500/1 = 500 Pa

P2 = 750/2 = 375 Pa

500 > 375, therefore the first student exerts greater pressure.

The graph that  represents the function f(x)  = |x − 1| − 3 is:

Graph B

To find out which graph can represent the given function f(x) = |x − 1| − 3, we need to look at each of the functions individually to deduce that.

The key to this is the point (1,-3) That point must be found first. C is incorrect because you are using 3 not - 3 which does not change (as C has changed it) through out the problem.

A is using (-1,-3) which makes it wrong. Also the equation is y = -abs(x-1) - 3 which is also a mistake. The given graph points upwards not downwards.

D has it's minimum point at (-1,-3) which is not correct.

We are left with b which opens upwards (correct) has it's min at (1,-3) [also correct] so the answer is

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Answer:

Symmetric

Step-by-step explanation:

Left skewed is going up to the left

Right seemed the same but to the right

Uniform will be same level rectangular shape

It is positively skewed or we can say the data is right skewed so,

D. The distribution is right skewed.

Skewness is a metric for the asymmetry or distortion of symmetrical distribution in a set of data. When data points on a bell curve are not evenly distributed to the left and right sides of the median, this is known as skewness. The bell curve is referred described as being skewed if it is tilted to the left or right.

Skewness is a measure of the asymmetry of a distribution.

In the given data set, it is positively skewed or we can say the data is right skewed.

Generally, The normal distribution is symmetrical.

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Since we have shown that \(A\) is empty, this contradicts the assumption that \(A\) is countable. In conclusion, we have shown that either \(A\) is empty or uncountable.

To prove that either the set \(A\) is empty or uncountable, we will use a proof by contradiction. We will assume that \(A\) is neither empty nor uncountable and derive a contradiction.

Assume that \(A\) is not empty, which means there exists at least one element \(a \in A\). Since \(a\) is in \(A\), it satisfies the condition \(f(a) = f(y)\) for some \(y \in (0,1)\).

Now, consider the set \(B\) defined as:

\[B = \{x \in (0,1) \mid f(x) \neq f(a)\}\]

If \(B\) is empty, it means that every element in the interval \((0,1)\) has the same function value as \(a\). In this case, the set \(A\) would be the entire interval \((0,1)\) and would be uncountable.

So, let's assume that \(B\) is not empty. Then there exists at least one element \(b \in B\). Since \(b\) is in \(B\), it satisfies the condition \(f(b) \neq f(a)\).

Since \(f\) is continuous on the interval \((0,1)\), by the Intermediate Value Theorem, there exists a point \(c\) between \(a\) and \(b\) such that \(f(c) = f(a)\). This implies that \(c\) is an element of \(A\), contradicting the assumption that \(B\) is not empty.

Therefore, if \(A\) is not empty, we arrive at a contradiction. Hence, our assumption that \(A\) is not empty must be false.

Now, suppose \(A\) is countable. This would mean that the set of all elements in \(A\) can be listed in a sequence \(a_1, a_2, a_3, \ldots\).

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Answer:

5.9× 10^4

Step-by-step explanation:

I'm assuming that by "104" you actually meant "10^4," which reads "fourth power of 10."  Please be sure to use the symbol " ^ " to express exponentiation.

The sum of 2.5 × 10^4 and 3.4 × 10^4 is (2.5 + 3.4)×10^4

or

5.9× 10^4

Since the interest is compounded, we will have to use the compound interest formula.

We Weill plug 7500 in for A, because that's the amount of money that we want to have at the end of some amount of time.

5000 will go in for P because that's the starting amount.

2.7% will be converted into a decimal percentage form. You can do this by dividing by 100, which you will get .027, and then plug that in for r, the rate.

Since the interest is compounded quarterly, n = 4.

After a bit of number crunching, you will get to the point where you have to solve for an exponent. You can easily do this by using the natural log ln(). One property of logarithm is that you can take the exponent and place it in front of the log. Now you can divide both sides to separate and solve for t.

It take 10.5 years for the investment to grow to $7,500 in the account with a 2.7% annual interest rate compounded quarterly.

Given:

P = $5000

r = 2.7% = 0.027 (as a decimal)

n = 4 (quarterly compounding)

A = $7500

The formula for compound interest:

\(\[ A = P\left(1 + \frac{r}{n}\right)^{nt} \]\)

Substituting these values into the formula

\(\[ 7500 = 5000\left(1 + \dfrac{0.027}{4}\right)^{4t} \]\)

Dividing both sides of the equation by $5000, we have:

\(1.5 = (1.00675)^{(4t)\)

Assuming a natural logarithm (ln), we have:

ln(1.5) = \(ln((1.00675)^{(4t))\)

Using the logarithm property,\(ln(a^b) = b * ln(a)\), simplify the equation:

\(ln(1.5) = 4t * ln(1.00675)\)

Now, dividing both sides of the equation by 4 * ln(1.00675):

t = ln(1.5) / (4 * ln(1.00675))

t = 10.5 years.

Therefore, it will take 10.5 years for the investment to grow.

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The value of function is positive so the function have maximum value 30 at x=3.

In the given question we have to find the maximum or the minimum value of a function.

The given function is

f(x) = -3x^2+18x+3

To find the maximum or minimum value we firstly find the value of f'(x).

f'(x) = -6x+18

Now put f'(x)=0

-6x+18=0

Subtract 18 on both side we get

-6x=-18

Divide by -6 on both side we get

x = 3

Now finding the value of function at x=3

f(3)= -3*(3)^2+18*3+3

f(3)= -3*9+54+3

f(3)= -27+54+3

f(3)= 30

Since the value of function is positive so the function have maximum value 30 at x=3.

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Answer:

10

Step-by-step explanation:

The area of each parallelogram or triangle is 24 cm²,22.5 cm², 98 ft²,48 cm², 90 m², and  30 in² respectively.

In this skills practice problem, we are asked to find the perimeter and area of each parallelogram or triangle, based on their given dimensions. Let's start by defining the formulas for calculating the perimeter and area of each shape:

Perimeter of a parallelogram = 2 x (length + width)

Area of a parallelogram = base x height

Perimeter of a triangle = sum of the lengths of its sides

Area of a triangle = 1/2 x base x height

Now, let's apply these formulas to each shape:

Parallelogram with length 6 cm and width 4 cm:

Perimeter = 2 x (6 + 4) = 20 cm

Area = 6 x 4 = 24 cm²

Triangle with base 9 cm and height 5 cm:

Perimeter = 9 + 8 + 7 = 24 cm

Area = 1/2 x 9 x 5 = 22.5 cm²

Parallelogram with length 14 ft and width 7 ft:

Perimeter = 2 x (14 + 7) = 42 ft

Area = 14 x 7 = 98 ft²

Triangle with base 12 cm and height 8 cm:

Perimeter = 12 + 8 + 10 = 30 cm

Area = 1/2 x 12 x 8 = 48 cm²

Parallelogram with length 18 m and width 5 m:

Perimeter = 2 x (18 + 5) = 46 m

Area = 18 x 5 = 90 m²

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#SPJ11Triangle with base 6 in and height 10 in:

Perimeter = 6 + 8 + 10 = 24 in

Area = 1/2 x 6 x 10 = 30 in²

Therefore, we have calculated the perimeter and area of each given parallelogram or triangle.

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Answer:

2 2/3

Step-by-step explanation:

1. Convert 1 1/3 into an improper fraction
1 1/3 = 4/3
4/3 divided by 1/2
K.F.C (keep flip change)
so u keep 4/3, flip 1/2 which is 2/1, change divide to mulitply
4/3 * 2/1 = 8/3
now convert 8/3 back to normal mixed fraction = 2 2/3
hope this helps

Answer:

  see attached

Step-by-step explanation:

A quadratic relation is a polynomial relation that has a highest degree of 2. Its graph is ⋃-shaped (or ⋂-shaped). That is, it decreases, then increases, or vice-versa.

__

To identify the quadratic relations, you check to see which of them matches the description above.

The highest degrees, left to right, are 1, 3, 2. The right-most equation is a quadratic relation

The left-most graph is ⋃-shaped, so represents a quadratic relation.

The y-values in the left table decrease, then increase, suggesting a quadratic relation. (Those in the right table continue to decrease at a constant rate, which represents a linear relation.)

Therefore, the evaluated value of `root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)` is approximately 0.3263634046.

To evaluate the expression `root((34.64 * (0.0023) ^ 2)/((0.0496) ^ 5), 3)`, we will follow the order of operations (PEMDAS/BODMAS), which instructs us to simplify operations inside parentheses, exponents, multiplication, division, addition, and subtraction.

First, let's simplify the exponents inside the expression:

- (0.0023) ^ 2 = 0.0023 * 0.0023 = 0.00000529

- (0.0496) ^ 5 = 0.0496 * 0.0496 * 0.0496 * 0.0496 * 0.0496 = 0.000005577776

Now, we substitute the simplified values back into the expression:

- `root((34.64 * 0.00000529) / 0.000005577776, 3)`

Next, we perform the division:

- (34.64 * 0.00000529) / 0.000005577776 = 0.03262532014

Substituting the result back into the expression, we have:

- `root(0.03262532014, 3)`

Now, let's calculate the cube root of 0.03262532014:

- cube root of 0.03262532014 ≈ 0.3263634046

It's important to note that due to rounding during intermediate steps, the final answer may not be entirely precise. If you require a more accurate result, it is recommended to carry out the calculations using higher precision or additional decimal places.

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Answer:

answer is 120 for the first one

30.8 for the second one

Step-by-step explanation:

First one:

Going diaganally is 305.16389 feet

going along the fence is 425 feet

answer is 119.838611

Answer:

8

Step-by-step explanation:

2x4=8

Answer:

8

Step-by-step explanation:

2*4= 8

Parvati must donate approximately $12,166.13 today in order to fund an ongoing annual bursary of $2,750, starting in five years, considering an interest rate of 4%. This donation amount will ensure that the first payment can be made on time.

To calculate the amount Parvati must donate today for the first payment to start in five years and fund an ongoing annual bursary of $2,750, we can use the concept of present value. The present value (PV) is the current value of a future stream of cash flows, taking into account the time value of money and the interest rate.

In this case, Parvati wants to donate an amount today that will provide an annual payment of $2,750, starting in five years. The interest rate is 4%.

To calculate the present value, we can use the formula for the present value of an ordinary annuity:

PV = PMT * [(1 - (1 + r)^(-n)) / r],

where PV is the present value, PMT is the payment per period, r is the interest rate per period, and n is the number of periods.

Using the given values:

PMT = $2,750,

r = 4% (annual interest rate),

n = 5 (number of years until the first payment).

Substituting these values into the formula:

PV = $2,750 * [(1 - (1 + 0.04)^(-5)) / 0.04].

Now, let's calculate this expression to find the amount Parvati must donate today for the ongoing annual bursary.

PV = PMT * [(1 - (1 + r)^(-n)) / r].

Substituting the given values into the formula:

PMT = $2,750,

r = 4% = 0.04 (annual interest rate),

n = 5 (number of years until the first payment).

PV = $2,750 * [(1 - (1 + 0.04)^(-5)) / 0.04].

Now, let's calculate this expression step by step

1 + 0.04 = 1.04,

1.04^(-5) ≈ 0.8227,

1 - 0.8227 ≈ 0.1773.

Now, let's substitute these values back into the equation:

PV = $2,750 * (0.1773 / 0.04).

Dividing 0.1773 by 0.04:

PV ≈ $2,750 * 4.4325.

Calculating the final result:

PV ≈ $12,166.13.

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Answer:

x=2

Step-by-step explanation:

9x-8=10

Add 8 to each side

9x-8+8=10+8

9x = 18

Divide by 9

9x/9 = 18/9

x = 2

Answer:

9x - 8 = 10

Step-by-step explanation: 9x - 8 = 10

9x = 10 + 8

9x = 18 (divide both sides by 9 to get x)

9x/9 = 18/9

x = 2

To eliminate negative exponents the base is inverted by taking its reciprocal, and the exponent then becomes positive.

Given:

Eliminating negative exponents:

Example:

1)  \(x^{-5}\)

on reciprocal:

= 1/x^5

eliminated negative

2) \(x^{-7}y^{-4}\)

= x^-7*1/y^4

= 1/x^7y^4

Therefore To eliminate negative exponents the base is inverted by taking its reciprocal, and the exponent then becomes positive.

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The answer is \(-\frac{1}{2}\)

First you must change the fractions so that they have like denominators.

\(\frac{10}{12} -\frac{16}{12}\)

Then you subtract the fractions.

\(-\frac{6}{12}\)

Finally, you need to simplify the answer.

\(-\frac{1}{2}\)