For the parallelogram, if m<2=5x-28 and m<4=3x-10, find m<3​

In inferential statistics, before administering an independent variable, means from each group in the study are assumed to be equal or similar.

In inferential statistics, researchers often compare groups to determine whether there are significant differences between them. Before administering an independent variable, which is a variable that is manipulated by the researcher, it is generally assumed that the means of each group are equal or similar. This assumption allows for a fair and unbiased comparison between groups. By assuming equal means, researchers can then analyze the data using statistical tests to determine if there are significant differences between the groups after administering the independent variable.

The assumption of equal means serves as a starting point for hypothesis testing and helps researchers assess the impact of the independent variable on the dependent variable. If there were already significant differences in means before administering the independent variable, it would be difficult to attribute any observed differences solely to the independent variable. Therefore, assuming equal means before the manipulation of the independent variable ensures that any subsequent differences can be more confidently attributed to the variable being tested. This assumption allows researchers to draw valid conclusions and make informed decisions based on the results of their statistical analyses.

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Answer:

-34

Step-by-step explanation:

3 - 16 / 2 * 5 + 3

Division first

= 3 - 8 * 5 + 3

Then multiplication

= 3 - 40 + 3

Then addition

= 6 - 40

Then subtraction

= - 34

a) The expected value of X is 5/8.

b) The expected value of Y-\(X^2\) is 1/16.

c) The variance of X is 21/64.

(a) The expected value of a discrete random variable X with possible values x1, x2, ..., xn and corresponding probabilities p1, p2, ..., pn is given by:

E(X) = Σ(pi \(\times\) xi) for i = 1 to n

Using this formula, we can calculate the expected value of X as follows:

E(X) = (1/8\(\times\)(-1)) + (2/8 \(\times\)0) + (5/8 \(\times\) 1) = 5/8

Therefore, the expected value of X is 5/8.

(b) To find the probability function of Y-\(X^2\), we need to find the possible values of Y-\(X^2\) and their corresponding probabilities.

Y takes values -1, 0, 1 with probabilities 1/8, 2/8, 5/8 respectively. Therefore, Y-X^2 takes values (-1 - \((-1)^2\)), (0 - \(0^2\)), (1 - \(1^2\)), which simplify to -2, 0, and 0, respectively.

The probabilities of Y-X^2 taking these values can be found by considering all possible combinations of the values of X and Y. For example, when X = -1 and Y = -1, we have Y-\(X^2\) = -1 - \((-1)^2\) = -2. The probability of this occurring is 1/8 \(\times\)1/8 = 1/64. Continuing in this way, we can find the probabilities for all possible values of Y-\(X^2\):

Y-\(X^2\) = -2 with probability 1/64

Y-\(X^2\) = 0 with probability 3/8

Y-\(X^2\) = 2 with probability 5/64

Now we can calculate the expected value of Y-\(X^2\) as follows:

E(Y-\(X^2\)) = (-2 \(\times\) 1/64) + (0 \(\times\) 3/8) + (2 \(\times\) 5/64) = 1/16

Therefore, the expected value of Y-\(X^2\) is 1/16.

(c) The variance of a discrete random variable X with possible values x1, x2, ..., xn and corresponding probabilities p1, p2, ..., pn is given by:

Var(X) = E(X^2) - [E(X)\(]^2\)

To calculate Var(X), we need to first calculate E(X^2). Using the formula for expected value, we have:

E(X^2) = (1/8 \(\times\)\((-1)^2\)) + (2/8 \(\times\) \(0^2\)) + (5/8 \(\times\) \(1^2\)) = 7/8

Now we can calculate Var(X) using the formula above:

Var(X) = E(\(X^2\)) - [E(X)\(]^2\) = 7/8 - (5/8\()^2\) = 21/64

Therefore, the variance of X is 21/64.

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False. In a two-factor ANOVA, if two significant main effects emerge, it does not necessarily mean that the interaction between factors is significant. Main effects and interaction effects are independent of each other and can have different levels of significance.

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The presence of significant main effects does not necessarily indicate a significant interaction between factors in a two-factor ANOVA. It is possible for there to be significant main effects without a significant interaction.

Therefore, it is important to examine both the main effects and the interaction effects in a two-factor ANOVA to fully understand the relationship between the variables being studied.
False

In a two-factor ANOVA, there are three possible significant effects: two main effects for each factor and one interaction effect between the factors. When two significant main effects emerge, it means that there are significant differences in the levels of both factors. However, this does not automatically mean that the interaction between the factors must also be significant. The interaction effect is an entirely separate effect and can be significant or non-significant regardless of the significance of the main effects.

If two significant main effects emerge in a two-factor ANOVA, it does not necessarily mean that the interaction between factors must be significant.

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Answer:

The exponent form of 3 root 7 is 7.94

The autonomic nervous system (ANS) is a department of the peripheral nervous system that regulates the involuntary or computerized features of the body.

The ANS controls a spread of bodily capabilities, inclusive of heart rate, digestion, respiratory, and glandular secretion. it's far divided into two subdivisions:

The sympathetic nervous system is accountable for the "fight or flight" reaction, which prepares the frame for severe bodily hobby or stress. whilst activated, the SNS will increase coronary heart fee, dilates air passages, will increase blood stress, and stimulates the discharge of glucose from the liver, amongst other capabilities.

In assessment, the parasympathetic nervous machine is liable for the "rest and digest" reaction, which promotes rest, digestion, and strength conservation. whilst activated, the PNS slows heart charge, constricts air passages, lowers blood pressure, and stimulates digestion and waste elimination.

Both the sympathetic and parasympathetic anxious systems paintings in a complementary and balanced way to hold homeostasis or inner stability inside the body. dysfunction in the ANS can result in a spread of fitness troubles, inclusive of autonomic neuropathy, dysautonomia, and different situations.

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Answer:

2.361, 2.63, 2.631.

Step-by-step explanation:

Hope this helps.

Answer: 5

Step-by-step explanation: Assuming you put a for X that would be 2 so 2x is 4 + 1= 5

Answer:

42

Step-by-step explanation:

129/3= 43

43 firecrackers contains 1 duds

1806/43= 42

It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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The solution set is,

\(\theta = \left \{ {{0^0+360^0n, 120^0+ 360^0n} \atop {240^0+ 360^0}} \right.\)

option A is the correct answer.

From the question, we have

2cos⁡(θ)=2cos⁡(2θ)

cos⁡(2θ)-cos⁡(θ)=0

2cos^2⁡(θ)-cos⁡(θ)-1=0

cos⁡(θ)=(1±√(1+8))/(2×2)

cos⁡(θ)=1, cos⁡(θ)=-1/2

      \(\theta = \left \{ {{0^0+360^0n, 120^0+ 360^0n} \atop {240^0+ 360^0}} \right.\)

The solution is,

\(\theta = \left \{ {{0^0+360^0n, 120^0+ 360^0n} \atop {240^0+ 360^0}} \right.\)

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Step-by-step explanation:

For two triangle to be congruent,there must be any three sides or angle including congruent

Congruent triangles have three pairs of corresponding sides that are congruent, while two triangles that have three pairs of corresponding congruent angles are similar and not necessary congruent. Therefore:

Recall:

1. When the two triangles have the three pairs of corresponding angles that are congruent, they can only be said to be similar. They have the same shape but may be of different sizes.

Therefore, statement 1 is FALSE.

2. Knowing that three pairs of corresponding sides of two triangles are congruent, it is enough to prove that both triangles are congruent to each other.

Therefore, statement 2 is TRUE.

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Answer:

x = 6

Step-by-step explanation:

The hypotenuse of the bigger triangle is 13. Which means that the squares of the other sides have to add to 169 (the square of 13) which we gather from the Pythagoras's theoreom. This clears all the other options except for  x = 6 since the squares of all the other numbers are larger than 169 except \(\sqrt{97}\) but looking at the graph, we can tell that x can't be root 97 since it would not slot together with the smaller triangle with the 4.

A triangle is a shape with 3 sides and angles. The value of x from the given figure is 6

A triangle is a shape with 3 sides and angles. To determine the value of x we will use the theorem to form an expression;

4/x =x/9

Cross multiply

x² = 9 * 4

x² = 36

x = 6

Hence the value of x from the given figure is 6

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Answer:

x=17

Step-by-step explanation:

3(x+8) = 7+4x

3x+24 = 7+4x

24 = 7+x

17=x

Answer: No, the pythagorean Theorem can only be done on right triangles.

Step-by-step explanation:

The probability that their average age is between 90 & 100 months is 0.245.

We must determine z for each number to determine the likelihood that the group's mean age is between 90 & 100 months.

Z = (x – mean) ÷ standard deviation

Let x is the average age of a vehicle

Z1 = (90 – 96) ÷ 16 = -0.375

Z2 = (100 – 96) ÷ 16 =  0.25

The area under the curve is then determined using the z table.

Z1 area equals 0.354

Z2 area of 0.599

To calculate the likelihood that the group's mean lifespan is between 90 & 100 months, apply the following formula:

0.599 – 0.354 = 0.245

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On solving the provided question, we can say that  D, diameter pizza will produce the largest slice is 16

Any straight line segment with an endpoint on the circle and that travels through its center is considered a circle's diameter in geometry. The longest chord of a circle is another way to describe it.

Let r be the radius and  be the angle of a circle.

According with the graph, the area of the sector is given by

A = 1/2r^2∅

The arc length of a circle with radius r  and angle∅   is r∅

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches.

Thus the perimeter has length

2r + r∅ = 32 in

r∅ = 32 - 2r

∅ = 32- 2r / r

Now,

A = 1/2r^2[32- 2r / r]

A = 16r - r^2

A' = 16 - 2r 16 -2r = 0

r = 8

A" = -2

so, D, diameter pizza will produce the largest slice is 16

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Answer:

|x-65|=30

Step-by-step explanation:

You are expecting 65 people, but usually 30 people come.

This equation works best since you can find both the minimum and maximum.

The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

The expected attendance at a school event is 65 people. The actual attendance can vary by up to 30 people. Then the absolute function of the equation is given as,

|x - 65| = 30

The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.

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Answer:

Welp i dont have your help you need

Step-by-step explanation:

Because i just dont

Answer:

-11

Step-by-step explanation:

1331 is a perfect cube, so you just cube root it and add a negative

Which of the following pairs of numbers are additive inverses of each other?

(A) -0.5 and -0.5

(B) 0.5 and 2

(C) 0.5 and -0.5 (when you add them 0.5 + (-0.5)= 0)

(D) 0.5 and 2 7

____________________

Answer

(C) 0.5 and -0.5 (when you add them 0.5 + (-0.5)= 0)

Answer:

10

Step-by-step explanation:

2x2 - 3x

2x2 - 3(-2)

-3x-2 = 6

4+6=10

Answer:

1/2 of four is 2

Step-by-step explanation:

The given fraction (x^2-25)/(x^2-x-20) expressed in simplest form is (x+5)/(x+4). (Option C)

A fraction is in simplest form if the numerator and denominator have no common factors other than 1. In order to solve the given fraction, the numerator and denominator must be factorized, and the common factor will be canceled out.

Factoring x^2 – 25 using the difference of squares formula that states that a^2 – b^2 = (a + b)(a - b)

x^2 – 25 = x^2 – 5^2 = (x + 5)(x – 5)

Factoring x^2 – x – 20,

x^2 – x – 20 = x^2 + 4x – 5x – 20 = x(x + 4) -5(x + 4) = (x + 4)(x – 5)

Hence, factor (x – 5) is there in both numerator and denominator, it is canceled out. Hence the fraction in the simplest form is:

(x + 5)(x – 5)/ (x + 4)(x – 5) = (x + 5)/(x + 4)

Note: The question is incomplete.  The complete question probably is:  What fraction represents(x^2-25)/(x^2-x-20) expressed in simplest form. A) 5/4 B) (x-5)/(x-4) C) (x+5)/(x+4) D)25/(x+20)

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Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

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Answer:

-18

Step-by-step explanation:

-12 + (-2)(3)

= (-12)+((-2)x(3))

= (-12)+(-6)

= (-12)-(6)

= -18

Answer:

Okay the question is a little unclear, but if he's only doing english, science and history the answer should be 17/40

Step-by-step explanation:

1/5=8/40

3/8=15/40

8/40+15/40=23/40

40/40-23/40=17/40

Answer:

Step-by-step explanation:

Cylinder volume:

Given:

Substitute the values and find the volume:

Answer:

4266

Step-by-step explanation:

Okay! let's start with finding what 3% of 5400 birds is

3% is .03 as a decimal. We can find 3% of 5400 by multiplying 5400 by .03

5400×.03= 162

If our rainforest is losing 3% a year, that means we are losing 162 birds a year.

Let's turn it into an equation! x will be the number of years

5400-162x= number of birds left after x years

Now put 7 in for x

5400-(162×7)= 4266 birds

Hope this helps!

AbbyMay :)

The total revenue function, R(x), for the calculators is given by R(x) = \(800,000x + 40,000x^2 + (8,000/3)x^3 + C.\)

To find the total revenue function, R(x), for the calculators, we integrate the marginal revenue function with respect to x. The marginal revenue function is given as MR = \(80,000(10 + x)^2.\)

Integrating the marginal revenue function, we have:

∫ MR dx = ∫ 80,000\((10 + x)^2 dx\)

Simplifying and integrating:

\(R(x) = \int 80,000(100 + 20x + x^2) dx\\= 80,000(\int 100 dx + \int 20x dx + \int x^2 dx)\\= 80,000(100x + 10x^2/2 + x^3/3) + C\)

Simplifying further:

\(R(x) = 800,000x + 40,000x^2 + (8,000/3)x^3 + C\)

Therefore, the total revenue function, R(x), for the calculators is:

\(R(x) = 800,000x + 40,000x^2 + (8,000/3)x^3 + C\)

where C is the constant of integration.

The total revenue function provides an expression for the revenue generated by selling x hundreds of calculators.

It takes into account the unit price and the number of calculators sold, allowing us to analyze the revenue as a function of the quantity sold.

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