1. (9t3n5)(-21n?) simplify
​

Answer: tan 47/1 = x/.5 = x = .53618

Step-by-step explanation:

Therefore (b). A chi-square statistic is always positive as it is the sum of squared deviations from expected values.

However, it can contain fractions or decimal values as it is based on continuous data. The chi-square distribution is skewed to the right and its shape depends on the degrees of freedom. The possible values for a chi-square statistic depend on the sample size and the number of categories in the data. In general, larger sample sizes and more categories will result in larger chi-square values. It is important to note that a chi-square statistic cannot be negative as it is the sum of squared deviations. Therefore, options (a) and (c) are incorrect. In conclusion, the correct answer is (b) and it is important to understand the properties and interpretation of chi-square statistics in statistical analysis.

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Answer:

4c^4

Step-by-step explanation:

area of triangle = bh/2

area = 2c^3 * 4c/2

area = 8c^4/2

area = 4c^4

Answer:

4c^4 is your answer hope this helps

Given:

The rule of a pattern is to multiply by 3.

The first term = 7

The next five terms are as follows:

The second term = 7 x 3 = 21

The third term = 21 x 3 = 63

The fourth term = 63 x 3 =189

The fifth term = 189 x 3 = 567

The sixth term = 567 x 3 = 1701

2.) write two observations you can make about the pattern.

The first is the sequence will be a geometric

The second is the common ratio = 3

Given:

P(3, -2)

m = -2

The linear equation is of the form y = mx + b where m is the slope and b is y-intercept. So we find b:

Therefore, the equation is:

Graphing:

Based on the information provided, it is most likely that Professor Anderson's focus on studying how family relationships change over time aligns with the field of developmental psychology.

Based on the given information, Professor Anderson's focus on studying how family relationships change over time and conducting longitudinal surveys with the same group of participants, it is most likely that Professor Anderson is a developmental psychologist. Developmental psychologists study human development and changes that occur across the lifespan, including familial relationships and their dynamics. They are interested in how individuals grow, change, and interact with others over time.

Developmental psychology is a branch of psychology that focuses on studying human development and changes that occur throughout a person's life span. Developmental psychologists are interested in understanding how individuals grow, change, and develop in various aspects such as physical, cognitive, emotional, and social domains.

In the given scenario, Professor Anderson's research interest revolves around tracking and surveying the same group of participants over a period of two decades to investigate the changes in their relationships with their parents and siblings. This longitudinal approach allows for the examination of how these family relationships evolve over time and provides insights into the developmental processes that influence familial dynamics.

By studying the patterns, trajectories, and factors that contribute to changes in family relationships, Professor Anderson can gain a deeper understanding of human development within the context of family dynamics. This knowledge can have implications for various aspects of individuals' lives, including their mental and emotional well-being, interpersonal relationships, and overall development.

Therefore, according to the information given, Professor Anderson's interest in researching how family connections change over time is most likely in line with the discipline of developmental psychology.

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Answer:

1.5

Step-by-step explanation:

37,5*0.12=6

37.5*0.04=1.5

The probability that both will be married before the age of 18 is 0.0036. The probability that both will be married by the age of 25 is 0.25. Finally, the probability that both will be married by the age of 30 is 0.5476.

According to the brief report by NCHS, approximately 6% of women in the United States married for the first time before their 18th birthday, and 50% of women married by their 25th birthday. 74% of women married by their 30th birthday.The probability of a family with two daughters marrying at different ages is asked in the question. The probability that both daughters will be married by the ages of 18, 25, and 30 will be determined

The question requires finding the probability that both daughters of a family will be married by the ages of 18, 25, and 30 respectively. Since each daughter's wedding is a separate event, the individual probability of a daughter marrying at a given age will be determined separately and then multiplied together to get the probability of both daughters being married at the given age. So, let's find the probabilities of each daughter marrying at a given age:

Probability of one daughter getting married by 18 years:

As per the brief report, 6% of women in the United States married before the age of 18.

Therefore, the probability of one daughter getting married before the age of 18 is 0.06

Probability of one daughter getting married by 25 years:

As per the brief report, 50% of women in the United States get married by the age of 25. Therefore, the probability of one daughter getting married by 25 years is 0.5.

Probability of one daughter getting married by 30 years:

As per the brief report, 74% of women in the United States get married by the age of 30. Therefore, the probability of one daughter getting married by 30 years is 0.74.

The probability of both daughters getting married at the same age is the product of each daughter's probability of getting married at that age.

The probability that both daughters will get married before the age of 18 is:

P(both daughters married at 18 years) = P(daughter1 married at 18) × P(daughter2 married at 18)= 0.06 × 0.06= 0.0036

The probability that both daughters will get married by the age of 25 is:

P(both daughters married at 25 years) = P(daughter1 married at 25) × P(daughter2 married at 25)= 0.5 × 0.5= 0.25

The probability that both daughters will get married by the age of 30 is:

P(both daughters married at 30 years) = P(daughter1 married at 30) × P(daughter2 married at 30)= 0.74 × 0.74= 0.5476

The probability that in a family with two daughters, both will be married before the age of 18 is 0.0036. The probability that both daughters will be married by the age of 25 is 0.25. Finally, the probability that both daughters will be married by the age of 30 is 0.5476.

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If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

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Answer:

C . . . I think

Step-by-step explanation:

The reason for this is that they used guerilla warfare to blend into their surroundings, completely contrasting to the idea of wearing bright red among trees, and other green lands.

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6)

The equations are given as: y = 1.5x - 4 & y = -x

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables

Substitute y = -x in the first equation

-x = 1.5x - 4

Collect like terms

-1.5x - x = -4

Any set of values of x1, x2, x2,…xn which simultaneously satisfies the system of linear equations given above is called a solution of the system. If the system of equations has one or more solutions, the equations are called consistent. Also, if the system of equations does not admit any solution, then the equations are called inconsistent.

This gives

-2.5x = -4

Divide both sides by -2.5

x = 1.6

Substitute x = 1.6 in y = -x

y = -1.6

Hence, the solution to the system of equations is (1.6,-1.6).

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The time between buses is 10 minutes and the bus waits at the station for 3 minutes, so the time between the departure of one bus and the departure of the next bus is 10 + 3 = 13 minutes.

Since you arrive at a random time, the time you have to wait for the next bus can be any number from 0 to 13 minutes, with each value between 0 and 13 being equally likely.

The probability that you will have to wait more than 6 minutes to board a bus is the probability that you arrive at the station between 0 and 7 minutes after a bus has left.

This is because if you arrive at the station more than 7 minutes after a bus has left, you will have to wait less than 6 minutes for the next bus to arrival time.

The probability that you arrive at the station between 0 and 7 minutes after a bus has left is 7/13, or approximately 0.538.

Therefore, the probability that you will have to wait more than 6 minutes to board a bus is approximately 0.462 (1 - 0.538).

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By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

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Answer:

Office personnel refers to the office chief, sectional chiefs and assistants that carry out all the administrative as well as clerical functions jointly to archive the objectives of an organization.

The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

What is probability ?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

Have given ,

We have first three colour Green that is g1 , g2 and g3

And We have next three colour red that is r1 , r2 and r3

The probability that all adjacent points differ in colour = 3! * \(^{4}C_{3}\) 3! / 6!

=> \(\frac{ 3! * 4! *3!}{6!}\)

=> \(\frac{1}{5}\)

The probability that all adjacent points differ in colour is \(\frac{1}{5}\).

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y = 4x² - x + 5e²xWe need to find the equation of the tangent line to the graph of the above function at the point (0,5).We can find the slope of the tangent line to the given function at x = 0 using the derivative of the function at

x = 0 (i) dy/dx = 8x - 1 + 10e²x(ii)

Let x = 0(iii) Slope at

x = 0

= 8(0) - 1 + 10e²(0)

= -1(iv) Point (0, 5) lies on the tangen.

line with slope -1 Hence, equation of the tangent line is given by:

y - y₁ = m(x - x₁)

=> y - 5 = -1(x - 0)

=> y - x - 5

= 0 Therefore, the equation of the tangent line to the graph of

y = 4x² - x + 5e²x

at the point (0,5) is

y - x - 5 = 0. Hence,  

"y - x - 5 = 0".

y = 4x² - x + 5e²x

We need to find the equation of the tangent line to the graph of the above function at the point (0,5).We can find the slope of the tangent line to the given function at x = 0 using the derivative of the function at x = 0.(i) dy/dx = 8x - 1 + 10e²x(ii) Let x = 0(iii) Slope at x = 0 = 8(0) - 1 + 10e²(0) = -1(iv) Point (0, 5) lies on the tangen.t

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The eigenvector of A⁶ is v and the associated eigenvalue is λ⁶ as A⁶ , eigenvector of A⁻¹ is v with associated eigenvalue λ⁻¹, eigenvector of 6A is v with associated eigenvalue 6λ.

Given that A is an invertible n × n matrix and v ― is an eigenvector of A with an associated eigenvalue -3. Let's find the eigenvalues of the following matrices:

(i) A⁶, (ii) A⁻¹, (iii) 6A.

For a matrix A, an eigenvector of A is a non-zero vector v such that

A v = λ v,

where λ is a scalar. This scalar is known as the eigenvalue associated with the eigenvector v.

i) Eigenvalues of A⁶:

Let λ be an eigenvalue of A with an eigenvector v.

Then the eigenvector of A⁶ is v and the associated eigenvalue is λ⁶ as A⁶

v = A.A.A.A.A.A v = A.A.A v.A.A v = A.A v.A.A.A v = A. v.A.A v = λ.A.A.A.A.A v = λ.A.A.A.A v.A.A.A.A.A v = λ⁶ v

Therefore, the eigenvector of A⁶ is v with associated eigenvalue λ⁶.

ii) Eigenvalues of A⁻¹:

Let λ be an eigenvalue of A with an eigenvector v.

Then the eigenvector of A⁻¹ is v and the associated eigenvalue is λ⁻¹ as A⁻¹ v = λ⁻¹. v

Therefore, the eigenvector of A⁻¹ is v with associated eigenvalue λ⁻¹.

iii) Eigenvalues of 6A:

Let λ be an eigenvalue of A with an eigenvector v.

Then the eigenvector of 6A is v and the associated eigenvalue is 6λ as 6A v = 6. λ. v = (6λ) v

Therefore, the eigenvector of 6A is v with associated eigenvalue 6λ.

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Answer: B

Step-by-step explanation:

The probability that both marbles are of the same color is 31/66

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

5 red and 7 green marbles.

We have to calculate the probability of two marbles being drawn consecutively without replacing them.

The first is that if we define events R to be two red marbles, and G to be two green marbles, then we can verify that:

P(R) = (5/12)(4/11)

P(G) = (7/12)(6/11)

Then, P(R ∪ G) = P(R) + P(G)

                        = (5/12)(4/11) +  (7/12)(6/11)

                        = 5/33 + 7/22

                        =  31/66

Hence, the probability that both marbles are of the same color is 31/66

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Answer:

∠3 and ∠5

Step-by-step explanation:

Answer:

Nice handwriting!

Step-by-step explanation:

I have no idea im only in 8th grade.

Answer:

6.25 <7

Step-by-step explanation:

Answer:

(1) \(x\leq 4\)

(2) \(x\geq 4\)

Step-by-step explanation:

\(\frac{1}{4}x + 6\leq 7\\(4) \frac{1}{4}x + 6\leq 7(4)\\x+24\leq 28\\ - 24 -24\\x\leq 4\)                \(-5x-24\leq -44\\+24 +24\\-5x\leq -20\\\frac{-5x\leq -20}{-5} \\x\geq 4\)

Answer:

I THINK its the last one (8 root 10 to the power of 3x)

Step-by-step explanation:

A square root is the same thing as raising something to the 1/2. So the expression we have is (10^1/2)^3/4x.

Due to exponent rules we can multiply to get

10^3/8x which is the same thing as 10^3x/8

The 8 goes to the root and the 3x becomes the exponent

In this exercise we have to have knowledge about the properties of powers, so we have to:

Letter D

Recalling some properties of power, we find that:

Are returning to the exercise and using the properties informed, we find that:

\((10^{1/2})^{3/4x}\\10^{3/8x} = 10^{3x/8}\)

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Answer:

your answer is 10 Goodluck

Answer:

7. A person who weighs 125 ponon Earth would weigh  on Mercury. S a proportion and solve using means and extremes to determine how much a child w weighs  on Earth would weigh on Mercury.

Step-by-step explanation:

The maximum value of the data is given as follows:

75.

A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:

The maximum value on the box plot is the end of the plot, hence it is of 75.

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Answer:

jjjjjj

Step-by-step explanation:

Answer:

Sodas: 72

Hotdogs: 42

Step-by-step explanation: First you take 114 and subtract 30 from it since there are 30 more sodas. You then would take the remaining 84, and divide it between the two giving you 42 hotdogs and 42 sodas. Now remember the 30 we had? Youre gonna add that to the 42, giving you 72 sodas and 42 hotdogs.