Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=98.13​, y=100.6​, r=0.904​, ​P-value=0.000, ŷ=14.68+0.88x​, where x represents the IQ score of the twin born first. Find the best predicted value of ModifyingAbove y with caret given that the twin born first has an IQ of 104​? Use a significance level of 0.05.

the number of ants is equal to 6 times the number of ant legs. Therefore, I agree with Katie's equation

Katie's equation is a=6•1, which states that the number of ants (a) is equal to 6 times the number of ant legs (1). Lukas's equation is a=1/6•1, which states that the number of ants (a) is equal to 1/6 of the number of ant legs (1). Since it is known that each ant has 6 legs, Katie's equation is correct, and therefore I agree with it.

The correct equation for the proportional relationship between the number of ants and the number of ant legs is a=6•1, which states that the number of ants is equal to 6 times the number of ant legs. Therefore, I agree with Katie's equation

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There are a total of 364 gifts in the Twelve Days of Christmas.the Twelve Days of Christmas includes a total of 364 gifts, with 78 unique gifts and some repeated gifts.

The song "The Twelve Days of Christmas" follows a pattern where the number of gifts increases each day. Starting from the first day, a partridge in a pear tree is given. On the second day, two turtle doves are given in addition to the partridge and pear tree. On the third day, three French hens are given along with the gifts from the previous days, and so on.

To calculate the total number of gifts, we sum up the gifts given on each day from the first day to the twelfth day. This can be done by adding up the numbers from 1 to 12:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 78

Therefore, the total number of gifts in the Twelve Days of Christmas is 78. However, it's important to note that some gifts are repeated on multiple days. For example, a partridge in a pear tree is given on all twelve days, so it should only be counted once.

To account for the repeated gifts, we subtract the number of days from the total count:

78 - 12 = 66

So, there are 66 unique gifts in the Twelve Days of Christmas. However, if we include the repeated gifts, the total count would be:

66 + 12 = 78

the Twelve Days of Christmas includes a total of 364 gifts, with 78 unique gifts and some repeated gifts. It's a cumulative song where the number of gifts increases each day, leading to a grand total of 364 gifts by the end of the twelfth day.

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The result of the given expression is 2.5.

We are given a mathematical expression. Let the expression be denoted by the variable "E". The expression is given below.

E = (45 / 6) % 5

We need to simplify the expression and find its value. First of all, we will solve the brackets.

E = (7.5) % 5

Now we will solve the modulus operator. The modulus operator "%" gives us the remainder after the division of the two numbers. After dividing one number by another, the modulo operation yields the remainder, or signed remainder, of the division.

E = 2.5

Hence, the value of the expression is 2.5.

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Answer:

No solution

Step-by-step explanation:

Let's solve this system using elimination through addition/subtraction.  Multiply the second equation by (1/2), which results in the system

y - 4x = 5

4x - y = 8

--------------

0x + 0y = 13.  This is NEVER true.  This system of equation has NO  SOLUTION.

Given that a right rectangular pyramid is sliced parallel to the base, and we need to find the area of the resulting two-dimensional cross-section.To solve the problem, we can use the formula to calculate the area of the cross-section of the pyramid which is given by the product of the altitude and the length of the base rectangle.

A right rectangular pyramid has a rectangular base, and the cross-sections made parallel to the base will also be rectangles.The resulting two-dimensional cross-section is shown below:

As we see in the figure, the height of the pyramid is divided into two equal parts, so the altitude of each resulting pyramid is equal to half the altitude of the original pyramid. The length of the rectangle will remain the same as that of the original rectangle.The area of the cross-section of the pyramid is given by:

Area of cross-section = altitude × base area

Now, we have the altitude of each resulting pyramid which is half of the altitude of the original pyramid, and the base area is the same as that of the original rectangle.

Therefore, the area of the resulting cross-section is equal to half of the original base area or one-fourth of the volume of the pyramid whose base is the rectangle.Area of cross-section = 1/4 × base area

Hence, the area of the resulting two-dimensional cross-section is 9 m².

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Answer:

19/3 (6 1/3)

Step-by-step explanation:

The edges of the tree are as follows:f - a, f - b, f - c, c - d, c - e, c - f, b - f, a - f, a - b.

Let the vertices be a, b, c, d, e, f with degree sequence (1, 1, 1, 1, 3, 3)

Since all vertices have a degree at most 3, the tree cannot have 6 vertices.

So, a tree with this degree sequence does not exist(c) (1, 1, 1, 1, 3, 4)

We can form a tree with this degree sequence as follows:Let the vertices be a, b, c, d, e, f with degree sequence (1, 1, 1, 1, 3, 4)

Vertex f must be the vertex of the highest degree in this graph, so we can make f the root of the tree.

The three children of f must have degrees 1, 1, and 3.

So, we label these vertices a, b, and c. The remaining vertex of degree 1 can be connected to any vertex of degree 1, let it be a.

Thus the tree can be represented as below.  The edges of the tree are as follows:

f - a, f - b, f - c, c - d, c - e, c - f, b - f, a - f, a - b.

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The distance between the points (3,5) and a line with the equation 5x-3y+10=0 is 10/√34 units.

Given that,

We have to find the distance between the points (3,5) and a line with the equation 5x-3y+10=0.

We know that,

We have a formula that is

Let (x₁, y₁) be the point and ax + by + c = 0 be the line.

Then the distance between a point and a line will be

d=|ax₁+by₁+c|/√(a²+b²)

Here,

(x₁,y₁)=(3,5)

a=5, b=-3 and c=10

So, substituting

d=|5(3)+(-3)(5)+10|/√(5²+(-3)²)

d=|15-15+10|/√25+9

d=|10|/√34

d=10/√34

Therefore, the distance between the points (3,5) and a line with the equation 5x-3y+10=0 is 10/√34 units.

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we start by opening the brackets so it will be -25 plus 15 v is equals to 115. negative times a negative is a positive so -5 times -3 we we have gotten positive 15v there I hope you understood so our new equation is -25 + 15v is equals to 115 collect the like terms 15v is equals to 115 + 25 15 v is equals to 140 divide both sides by 15 so v is equals to 9 and 1/3

Answer:

There would be 876 legs.

Step-by-step explanation:

To do it you could first find how many legs there are on one farm. SO you would take the 6 cats in one barrel. Then times it by the 6 kittens each of them have. That's the number of cats. Then times than number by 4 to get the total number of legs in one barrel. Then you add in the two legs of the farmer. Then times that total number by 6 to get all the legs on all six farms.

-Oxygenated blood is pumped to the rest of the body via the aorta.

-Deoxygenated blood (blood that needs oxygen) coming from the body.

-Then is pumped to the right ventricle.

-Then is pumped to the lunges to get oxygen via the pulmonary artery,

-Oxygenated blood from the lunges flows into the left atrium via the pulmonary vein.

-Flows into the right atrium.

-Then is pumped into the left ventricle.

I'm very confident in this answer, but if it happens to be wrong, I'm sorry.

I hope this helps, good luck!

Answer:

The ordered pairs that are solution to this equation are:

(8,1) and (10,3)

Step-by-step explanation:

Given statement is:

"difference of two variables x and y is 7"

This can be mathematically written as:

\(x-y = 7\)

To solve this we have to put y = 1 and y = 3

Now,

Putting y = 1 in the equation

\(x-1 = 7\\x = 8\)

Putting y = 3 in the equation

\(x-3 = 7\\x = 7+3\\x = 10\)

Ordered pairs are of the form (x,y)

Hence,

The ordered pairs that are solution to this equation are:

(8,1) and (10,3)

Answer:

183 miles per hour.

Explanation:

The estimated velocity(v) at the end of a drag race is modeled using the formula below:

Given:

• The horsepower, p = 1311

• The weight (in pounds), w = 2744 pounds.

Substitute into the formula above:

The velocity is approximately 183 miles per hour.

The value of x in the figure is 6

We solve for x in the figure using the concept of similar triangles to find the altitude of the triangle then solve for x using Pythagoras theorem as follows

Solving for h

h / 3 = 9 / h

h^2 = 9 * 3

h^2 = 27

h = sqrt (27)

h = 3√3

Applying Pythagoras theorem

3^2 + (3√3)^2 = x^2

x^2 = 9 + 27

x^2 = 36

x = sqrt (36)

x = 6

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The probability of being a senior is the total number of seniors divided by the total number of students.

The probability of a student walking given that they are seniors can be calculated using Bayes' theorem. Bayes' theorem is a formula that relates conditional probabilities to their inverses. The formula is: P(A|B) = P(B|A) P(A) / P(B)where P(A|B) is the probability of event A given that event B has occurred. In this case, A is "walking" and B is "senior." P(B|A) is the probability of being a senior given that the student is walking, P(A) is the probability of walking, and P(B) is the probability of being a senior. We can also represent the above formula in the form of a tree diagram, where P(walk | senior) is one branch of the tree.

The probability of being a senior is represented by the root of the tree, while the probability of walking is represented by a branch from the root. The probability of walking given that the student is a senior is calculated by dividing the probability of a senior walking by the probability of being a senior. The probability of walking can be calculated by adding up the probabilities of walking for each grade level and dividing by the total number of students.

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Answer: $2.80 a day

Step-by-step explanation:

you would need to save at least $2.80 a day, just take the total (19.60) and divide it by the number of days you have till its due, in this case a week (7 days) than divide. 19.20/7= 2.8

Answer:

6 drinks

Step-by-step explanation:

To find out how many drinks must be purchased for the meal to cost the same amount, we have to set the two expressions equal to each other

22 + 2x = 25 + 1.50x

0.50x + 22 = 25

0.50x = 3

x = 6

Then we can check our answers individually

22 + 2(6) = 34

25 + 1.50(6) = 34

Answer:

point-slope form, standard form, and slope-intercept form

Step-by-step explanation:

The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.

Here is an image with each form

Answer: 0.08 is greater

Step-by-step explanation:

0.08 is greater because it only goes to the hundredths place while 0.009 is in the thousandths place making it much smaller.

\(\dfrac{z}{10} =5\)

Multiply both sides by 10:

\((\dfrac{z}{10} )\times10=(5)\times10\)

\(\fbox{z = 50}\)

z/10 = 5

Multiply both sides by 10:

z/10 * 10 = 5 * 10

z = 50

For the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

Box and whiskers plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The minimum and the maximum values in the box plot is plotted at the end points.

The following set of data which i s given in the problem.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

Min: 3

The minimum value in the given data is 3. Thus, the min is 3.

Q1:6

First quartile appears at 6. Thus, the value of Q1 is 6.

Med:12

The middle value of the given data is 12 which appears at the center of all the values. Thus the med is 12.

Q3:14.5

Second quartile appears at 14.5. Thus, the value of  second quartile Q2 is 6.

Max: 17

The minimum value in the given data is 17 as shown in the image attached below. Thus, the min is 17.

Hence, for the box and whiskers plot for the following set of data the value of Min is 3, Q1 is 6, Med is 12, Q3 is 14.5 and Max is 17.

The complete question is : Answer the statistical measures and create a box and whiskers plot for the following set of data. You may optionally click and drag the numbers into numerical order.

3, 4, 5, 6, 6, 7, 7, 12, 13, 14, 14, 15, 15, 16, 17

3,4,5,6,6,7,7,12,13,14,14,15,15,16,17

Min:

Q1:

Med:

Q3:

Max:

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Answer:

Step-by-step explanation:

hello

\(2x+2=6<=> 2x+2-2=6-2 \ \ \ substract \ \ 2\\<=> 2x = 4 <=> \dfrac{2x}{2}=x=\dfrac{4}{2}=2 \ \ \ divide \ \ by \ \ 2\\\)

so the solution is 2

\(5x+4=8<=> 5x+4-4=8-4 \ \ \ substract \ \ 4\\<=> 5x = 4 <=> \dfrac{5x}{5}=x =\dfrac{4}{5} \ \ \ divide \ \ by \ \ 5\)

so the solution is 4/5

hope this helps

Let's see how to solve this equations:

\(2x + 2 = 6\\2x = 6 - 2\\2x = 4\\x = \frac{4}{2} \\x=2\)

\(5x + 4 =8\\5x = 8 - 4\\5x = 4\\x = \frac{4}{5}\)

Answer:

w > -2

Step-by-step explanation:

9 + w > 7

Subtract 9 from both sides to end up with w alone on the left side.

w > -2

An writing format called R Markdown (. Rmd) makes it simple to create dynamic documents, presentations, and reports with R.

It mixes R code chunks that are embedded and run so that their result can be included in the final document with the basic grammar of R markdown, a simple plain text format. The following are some benefits of utilizing R markdown: explicitly connects your data, R code, and output to produce a workflow that is completely reproducible. You can include ALL of the R code that was used to explore, summarize, and analyze your data in a single, simple-to-read document.

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Using the normal distribution, we know that the likelihood of a lizard living longer than 2.5 years is 16%.

The normal distribution is the correct name for a probability bell curve alone.

A normal distribution has a mean of zero and a standard deviation of one. Its kurtosis is 3, and its skew is 0.

Not all normal distributions are symmetrical, despite the fact that all symmetrical distributions are normal.

So, a lizard's average lifespan is 3.1 years, with a 0.6-year standard deviation.

Lizard u = 3.1 on average.

0.6 is the standard deviation.

To determine the probability that a lizard would live longer than 2.5 years:

p(X<2.5)

μ + aσ = 2.5

3.1 + a(0.6) = 2.5

a(0.6) = −0.6

a = −1

Use the empirical rule to calculate the probability.

100% of the total area (since total probability always is 1)

The area from p(X > p) = 50% from to area between () and (+) equals 68%.

Area between (μ−σ) and μ is p((μ−σ) < X < μ) =34%

Hence,

p(X< (μ−σ)) = 1 − (p((μ−σ) < X < μ) + p(X > μ))

p(X< (μ−σ)) = 1 − (0.34 + 0.5)

p(X< (μ−σ)) = 0.16  

Therefore, using the normal distribution, we know that the likelihood of a lizard living longer than 2.5 years is 16%.

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Answer:

The answer is -4

Step-by-step explanation:

Because yo subtract both numbers and you take the sign of the bigger number which is negative  that's why is -4

The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.

hello

the answer to the question is:

A + B = 16

A - B = 2

----> A = 9, B = 7

and the number between them is 8

Answer:

B, C, D

Step-by-step explanation:

Hope this helped ^-^

Hi there!

Hope this helps!