.3. Consider the hierarchical model: Xile X; - Normal(0:), i = 1,..., n, independent and e, Normally. 7°). = 1,...,n, independent, where o2 and 2 are known. a) Calculate the marginal of the T's, i.e integrate the B's b) Are the X;'s marginally independent?

Answer:

it is parallel

Step-by-step explanation:

I think you're correct! If you could send a picture, it would be much clearer. But, A would be area (since it is in square units) and e would be length. w would be the width.

A linear function is characterized by a constant rate of change.

1) Emily, only

Let's analyze each friend's claim:
Emily: She said her number of messages increased by 8 each hour.

This represents a constant increase and can be described as a linear function.
Jessica: She said her number of messages doubled every hour.

This represents an exponential growth and is not a linear function.
Chris: He received 3 messages the first hour, 10 the second hour, none the third hour, and 15 the last hour.

The changes are +7, -10, and +15, which are not constant.

This is not a linear function.
Based on this analysis, the answer is:
1) Emily, only.

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Answer:16.667%

Step-by-step explanation:

140 - 120 = 20

20 / 120 = 16.667%

Answer:

DE = 19.5

Step-by-step explanation:

the diagonals of a rectangle are congruent and bisect each other, then

EC = AE , that is

7x - 5 = 3x + 9 ( subtract 3x from both sides )

4x - 5 = 9 ( add 5 to both sides )

4x = 14 ( divide both sides by 4 )

x = 3.5

Then

AE = 3x + 9 = 3(3.5) + 9 = 10.5 + 9 = 19.5

Thus

DE = AE = 19.5

Side D'E' is about three times as lengthy as Side DE for the given dilation.

A scale factor is defined as the proportion between an object's measurements and its representation. In order to create an item that appears the same but is a different size, either scaled up or scaled down, the scale factor is often the number that is multiplied by the scale of the original object.

In Case, the scale factor is a whole number, the copy will be larger and if the scale factor is a fraction, the copy will be smaller.

Scale Factor Ratio for Scaling up should be always greater than 1 and the Scale Factor Ratio for Scaling down should be always smaller than 1.

We can use formula:

ratio of Dimensions of the new shape and Dimensions of the original shape.

As we can see, side DE is 4 units, but side D'E' is around 11.5 units.

∴D'E'/DE

=11.5/4

=2.8 ≈3

Hence, Side D'E' is about three times as lengthy as Side DE.

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Answer:

Ans 26

Step-by-step explanation:

F(x) = x/2

proof:

at x=0, f(x)=0

at x= -2 , f(x) = -1

and x = -4 , f(x) = -2

that's it.

The area of an obtuse triangle can be found using the formula A = 1/2 (b*h), where b is the base length and h is the height of the triangle.

The area of an obtuse triangle can be found using the formula A = 1/2 (b*h), where b is the base length and h is the height of the triangle. This formula is derived from the fact that the area of any triangle is half of the product of its base and height. An obtuse triangle is a triangle with one obtuse angle, meaning that one of its angles is greater than 90 degrees. To determine the area of an obtuse triangle, you must first identify the base and the height. The base is the length of the side opposite the obtuse angle, while the height is the length of the line that is perpendicular to the base and passes through the vertex of the obtuse angle. After the base and height have been determined, the formula A = 1/2 (b*h) can be used to calculate the area of the triangle.

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Answer:

Use M a t h w a y it helps. Trust me.

The sum of scores in quizzes of math is \(\boldsymbol{885}\).

"To understand the calculation, check below."

Mean is calculated by dividing sum of all the observations by number of observations.

For a data collection containing numbers that are close together, the mean is the best option.

Total number of quizzes in math \(=10\)

Mean scores \(=88.5\)

Therefore,

Sum of all scores \(=10 \times 88.5\) \(=\boldsymbol{885}\)

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The "Daisy Ad" for President Johnson's 1964 presidential campaign   (credited as an important factor in Johnson's landslide victory over Batty Goldwater,) aired only once.

The "Daisy Ad" is a famous political advertisement that aired during the 1964 presidential campaign between President Lyndon B. Johnson and Senator Barry Goldwater. It is widely recognized as a highly impactful and influential advertisement. Despite its significant impact, the ad was actually broadcasted only once.

The ad featured a little girl counting the petals of a daisy before transitioning to a nuclear explosion, symbolizing the potential consequences of electing Goldwater as president. The ad aimed to evoke fear and concern about the possibility of nuclear war, ultimately contributing to Johnson's landslide victory in the election.

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Answer:

19

Step-by-step explanation:

19-6=13

i hope this helps

Answer:

19

Step-by-step explanation:

: Add 6 to both sides.

a−6+6=13+6

a=19

Answer:

x= about 36.9

Step-by-step explanation:

We have 2 known factors, the degree of 31 and 19 for a side.

19 and x are opposite and hypotenuse of the angle of 31.

sin 31 = 19/x

We isolate and do

19/sin 31

Answer:

6/11

Step-by-step explanation:

Since there are 3 possible outcomes for the game (win,lose and draw) and the total probability for the three outcomes must be equal to 1.

Then;

The probability that the game will be a draw Pd = 1 - (probability that they will lose Pl + probability that they will win Pw)

Pd = 1 - (Pl + Pw) ........1

Given;

Pl = 3/11

Pw = 2/11

Substituting the values into equation 1;

Pd = 1 - (2/11 + 3/11)

Pd = 6/11

The probability that the game will be a draw Pd = 6/11

A variable which is required to construct a confidence interval for population proportion is qualitative variable with two possible outcomes. So the correct option is D.

In the given question we have to find what type of variable is required to construct a confidence interval for a population proportion.

As we know that;

Population proportion is the percentage of the entire population that possesses the given quality (which is qualitative in nature). The confidence interval for the population proportion must thus be constructed using a qualitative variable with two possible outcomes.

So, the correct option is identified from nature of different type of the variables. A variable which is required to construct a confidence interval for population proportion is qualitative variable with two possible outcomes.

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The right question is:

What type of variable is required to construct a confidence interval for a population proportion?

A. Quantitative

B. Qualitative with any number of possible outcomes

C. Continuous

D. Qualitative with 2 possible outcomes

E. Discrete

F. Qualitative with 3 or more possible outcomes

The given data sets, Data Set 3 and Data Set 4, consist of four variables: a (months), w (lbs), t (s), and v (m/s). Each variable is associated with different values.

The given data sets exhibit relationships between the variables a, w, t, and v. From Data Set 3, we can observe that as the number of months (a) increases, the weight (w) in pounds also increases. This suggests a positive correlation between the two variables. Similarly, in Data Set 4, there is a relationship between time (t) in seconds and velocity (v) in meters per second. As time increases, the velocity also increases, indicating a positive correlation between these variables.

By analyzing the data sets, we can infer that the weight of an object tends to increase as time progresses. Additionally, the velocity of an object also increases over time. These relationships may indicate the growth or acceleration of a certain phenomenon being studied. However, without further context or specific information about the objects or phenomena being measured, it is challenging to draw more precise conclusions. To gain a deeper understanding, additional analysis or domain knowledge would be necessary.

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Answer:

9

Step-by-step explanation:

Simply plug -3 in for x.

-2(-3)^2-7(-3)+6

(-3)^2=9

9*-2= -18

-7*-3=21

-18+21=3

3+6=9

Answer:

f(-3) = 9

Step-by-step explanation:

Here we have a quadratic function in x:  and we want to know the value of this function when x = -3.

Substituting -3 for x in f(x) = -2x^2 - 7x + 6, we get f(-3) = -2(-3)^2 - 7(-3) + 6, which works out to                                                    f(-3) = -2(9) + 21 + 6, or

                                                                                    f(-3) = -18 + 27 = 9

Thus, f(-3) = 9

INFORMATION:

We know that:

- stack of mail consists of 8 bills, 10 letters, and 6 advertisements.

- One piece of mail is drawn at random and put aside. Then a second piece of mail is drawn.

And we must find P (both are letters)

STEP BY STEP EXPLANATION:

To find the probability, we need to know that we have two events. First, when one piece of mail is drawn at random and put aside and, second, when a second piece of mail is drawn.

These two events are dependent. If A and B are dependent events, P(A and B) = P(A) • P(B after A) where P(B after A) is the probability that B occurs after A has occurred.

So, first

- Probability of A (the first piece is letter)

- Probability of B after A

Since A already occurred and one piece of the mail was drawn (a letter), now in total we would have 9 letter and 23 total pieces

Finally, replacing in the initial formula

Finally, the probability would be 0.1630

ANSWER:

P (both are letters) = 0.1630

Answer:

True false false

Step-by-step explanation:

It is found that the Statement 1 is true. The Statement 2 is false. The Statement 3 is true.

Function is a type of relation, or rule, that maps one input to specific single output.

Given that V (T) represent the value of a bank account, and thousands of dollars, T years after the account is open at the bank.

The following statements can be considered true or false in the case;

V(0) = 2 means that the value of the bank account when it is opened is; $2000. Thus, it is TRUE

V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is; $5000. Thus, it is FALSE

V(10) – V(5) = 0.4 means that the bank account grows by, $400 between 5 and 10 years after its opening. Thus, it is TRUE

The function takes the form as given below.

V(t) = Value of account.

Hence, The Statement 1 is true.

The Statement 2 is false.

The Statement 3 is true.

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Answer:

600,000

Step-by-step explanation:

All you need to do is multiply 60,000 by 10 and you get 600,000.

Answer:

600,000

Step-by-step explanation:

( A = Answer )

60,000 x 10 = A

&

10 x 60,000 = A

Hope this helped!

Answer:

\(6^{9} * 6^{-3}\)

Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept

We can use the data given in writing out our equation

390.6 = 14x

If 14 gallons = 390.6 miles

 1 gallon = x miles

x = 390.6 / 14

x = 27.9 miles

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The property which was used in step 1 to arrive at step 2 is: A. distributive property.

The distributive property states that when the sum of two (2) or more addends are multiplied by a number, the same output is produced as when each addend is multiplied respectively by the number, and the products are added together.

Mathematically, the distributive property of multiplication is given by this expression:

x(y + z) = xy + xz.

By applying the distributive property of multiplication to step 1, we have:

5(x - 7) = 55.

5x - 35 = 55

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Complete Question:

What property was used in step 1 to arrive at step 2?

Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.

distributive property

addition property of equality

subtraction property of equality

division property of equality

Answer:

A.) Distributive property.

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

Isolate the variable (x) by dividing each side by factors that don't contain the variable (x)

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The value of x using the concept of proportionality in terms of PQ is 96 divided by PQ.

To find the value of x when MN || PQ, we can use the concept of proportionality. When two lines are parallel, the corresponding angles formed by a transversal are congruent, and the corresponding sides are proportional.

Let's consider the line segments MN and PQ. We can set up a proportion using the corresponding sides:

MN/PQ = x/8

Here, MN represents one segment, PQ represents the other segment, and x is the unknown value we want to find. The length of one segment is given as 8 units.

To solve for x, we can cross-multiply:

MN * 8 = PQ * x

Now, let's assume that we have some additional information about the lengths of MN and PQ. For example, let's say that MN is 12 units long. We can substitute this value into the equation:

12 * 8 = PQ * x

Simplifying further:

96 = PQ * x

To isolate x, we divide both sides of the equation by PQ:

x = 96/PQ

It's important to note that without any specific information about the lengths of MN or PQ, we cannot determine an exact value for x. Instead, we express it as a ratio in terms of PQ.

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The total duration of the puberty process can be different for each girl who is about to enter it, as the length of time for the different stages of puberty can vary from person to person.  Hence, if a girl is about to enter puberty, the total process will take a variable length of time for different girls.

The total process of puberty for a girl can take a variable length of time, but typically it takes around 2 to 5 years to complete. The onset of puberty usually occurs between the ages of 8 and 13, with most girls starting around age 11.

The process of puberty includes physical changes such as breast development, the growth of pubic and underarm hair, and the onset of menstruation.

The duration of puberty can also depend on factors such as genetics, nutrition, and overall health. Some girls may experience a shorter or longer duration of puberty than others. However, in general, the process of puberty for a girl usually takes around 2 to 5 years to complete.

Therefore, the correct answer is "a variable length of time for different girls", but typically takes around 2 to 5 years to complete.

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Answer:

6x + 9 = 27

       -9     -9

6x = 18           Now divide both sides by 6

/6      /6            so the answer is 3

Step-by-step explanation:

:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.

During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.

According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes

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