In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to nd how many feet the tree grew?
a)f + 8 = 14 b)f - 8 = 14c )f/8 = 14 d)8f=14

If x₁₁ increases by one unit while keeping the other predictor variables constant, the response variable y₁ will increase by B₁ units. In the given multiple regression model, SST is equal to 500.

In the multiple regression model, the effect of increasing one unit of a predictor variable on the response variable depends on the specific coefficient (B) associated with that predictor variable.

The sign and magnitude of the coefficient determine the direction and extent of the effect.

For the given model y₁ = B₁ + B₁x₁₁ + ... + Bx + u, if x₁₁ increases by one unit while keeping the other predictor variables constant, the response variable y₁ will increase by B₁ units, assuming all other coefficients and the error term remain constant.

Regarding the second question, you mentioned the regression model as y = B₁ + B₁x₁ + B₂x₂ + Bₓ + u, and provided the values:

SSR = 100 and SSE = 400.

To find SST (total sum of squares), we need to use the formula:

SST = SSR + SSE

Plugging in the given values, we have:

SST = 100 + 400

SST = 500

Therefore, SST is equal to 500.

To learn more about multiple regression model visit:

brainly.com/question/30470285

#SPJ11

Answer:

\(a. \: \: \: a \: ll \: b\)

The leading term, the degree of the polynomial is  −6x3 is 3rd degree and coefficient −6.

Option (C) is correct.

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables .It is  is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

Given:

The given expression is

−6x3

We have to find the  polynomial by degree and tell the leading coefficient.

According to given question we have

The leading term of a polynomial is the term with the highest degree.

The leading coefficient of a polynomial is the coefficient of the leading term.

The degree of a polynomial is the highest degree of its terms.

Hence, the leading term, the degree of the polynomial is  −6x3 is 3rd degree and coefficient −6.

Learn more details about polynomial here:

https://brainly.com/question/11536910

#SPJ1

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is  (4x² - 7) (4x - 7) = 0

Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.

We have the equation,

16x³ +28x² - 28x - 49 = 0

In order to solve the equation by using factor by grouping:

We find common terms in between,

So, we arrange the terms,

16x³ +28x² - 28x - 49 = 0

4x² (4x - 7) -7 (4x - 7) = 0

Here, we have common term (4x-7).

Factor out the common binomial.

(4x² - 7) (4x - 7) = 0

Therefore, (4x² - 7) (4x - 7) = 0 is the factor.

To learn more about the factoring by grouping;

https://brainly.com/question/11919488

#SPJ1

Answer:

P [ X ≤  9.8 ]  = 0.1335

Step-by-step explanation:

P [ X ≤  9.8 ]  =  [ ( 9.8  - 10.2 )/1.8√25 ]

P [ X ≤  9.8 ]  =  - 0.4*5/1.8

P [ X ≤  9.8 ]  = - 2 / 1.8

P [ X ≤  9.8 ]  =  - 1.11

From z- table we get:  α  =  0.1335

P [ X ≤  9.8 ]  = 0.1335   or   P [ X ≤  9.8 ]  = 0.1335

Answer:

or

Step-by-step explanation:

Area of Circle = π × radius²

Area of Circle = 12π cm

π × radius² = 12π

radius² = 12

radius = √12

radius = 3.46

Circumference = 2 × π × radius

Circumference = 2 × π × 3.46

Answer:

30002.5

Step-by-step explanation:

The height of the box is 2 inches.

Given: A package of gift cards has a length of 8 inches, a width of 4 inches, and a volume of 64 inches cubed.

To Find: The height of the box.

Solution: We can use the volume of a rectangular prism formula to compute the height of the box.

V = l x w x h.

Where V denotes volume,

l denotes length,

w denotes width,

and h denotes height.

It is given that the volume is 64 inches cubed and the length and breadth of the box are 8 and 4 inches, respectively.

Now, the formula becomes h = Volume / (length x width)height

Here, we get,

64 / (8 x 4)h

Now, after solving the above equation with the given formula we get the height of the box = 2 inches.  As a result, the box's height is 2 inches.

Thus, the height of the box is 2 inches.

Learn more about volume here:

https://brainly.com/question/463363

Answer:

Add and subtract the second term to the expression and factor by grouping.

2(x+3)(x+2)(x-2)

Step-by-step explanation:

The precision of the estimate decreases when standard error of an estimate when the sample size in a SRS decreases. So, the correct answer is D).

The standard error of an estimate measures the variability of sample means around the population mean. As the sample size in a simple random sample (SRS) decreases, the sample mean becomes less representative of the population mean, resulting in more variability or less precision in the estimate.

The standard error increases as the sample size decreases because there is more uncertainty in the estimate due to the smaller sample size. Therefore, decreasing the sample size will increase the margin of error and decrease the precision of the estimate. So, the correct option is D).

To know more about standard error of an estimate:

https://brainly.com/question/30850106

#SPJ4

The ordered pairs that could be points on a parallel line are:

(-8, 8) and (2, 2)

(-2, 1) and (3, -2)

Parallel lines have the same slope. Thus, we have to find ordered pairs with a slope of -3/5.

We have:

slope of the line is -3/5.

Thus, m = -3/5

Formula for slope between two coordinates is;

m = (y₂ - y₁)/(x₂ - x₁)

A) At (–8, 8) and (2, 2);

m = (2 - 8)/(2 - (-8))

m = -6/10

m = -3/5

B) At (–5, –1) and (0, 2);

m = (2 - (-1))/(0 - (-5))

m = 3/5

C) At (–3, 6) and (6, –9);

m = (-9 - 6)/(6 - (-3))

m = -15/9

m = -5/3

D) At (–2, 1) and (3, –2);

m = (-2 - 1)/(3 - (-2))

m = -3/5

E) At (0, 2) and (5, 5);

m = (5 - 2)/(5 - 0)

m = 3/5

Learn more about slope on:

brainly.com/question/18957723

#SPJ1

Answer:

D

Step-by-step explanation:

Answer:

Answer is D I believe

Step-by-step explanation:

shows all of the possible outcomes

Answer:

7/16

Step-by-step explanation:

Divide each side by 5

Answer:

Speed=distance/time

100/11=9.1 m/s

1. 9.1 miles per hour

9.1 miles=14641.9 meters

1 hour= 60s

14641.9/60= 244.0 m/s

2. 16 miles per hour

16 miles= 25744 meters

25744/60= 429.1 m/s

3. 20.3 miles per hour

20.3 miles= 32662.7 meters

32662.7/60= 544.4 m/s

4. 24 miles per hour

24 miles= 38616 meters

38616/60= 643.6 m/s

* Note: Answers were rounded to the nearest tenth.

The values of a and b that make the piecewise defined function f(x) = 3x + 4, for x < -3, and f(x) = 2x^2 + ax + b, for x > -3, both continuous and differentiable everywhere are a = 6 and b = 9.

To ensure that the piecewise defined function is continuous at the point where x = -3, we need the left-hand limit and right-hand limit to be equal. The left-hand limit is given by the expression 3x + 4 as x approaches -3, which evaluates to 3(-3) + 4 = -5.

On the right-hand side of the function, when x > -3, we have the expression 2x^2 + ax + b. To find the value of a, we need the derivative of this expression to be continuous at x = -3. Taking the derivative, we get 4x + a. Evaluating it at x = -3, we have 4(-3) + a = -12 + a. To make this expression continuous, a must be equal to 6.

Next, we find the value of b by considering the right-hand limit of the piecewise function as x approaches -3. Substituting x = -3 into the expression 2x^2 + ax + b, we get 2(-3)^2 + 6(-3) + b = 18 - 18 + b = b. To make the function continuous, b must equal 9.

Therefore, the values of a and b that make the piecewise defined function both continuous and differentiable everywhere are a = 6 and b = 9.

Learn more about piecewise

brainly.com/question/28225662

#SPJ11

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer:

a. The correlation coefficient of the data is 0.817.

b. Yes, there is a correlation between the heights of daughters and mothers. The correlation coefficient of 0.817 indicates a strong positive correlation, meaning that as the height of the mother increases, the height of the daughter also increases.

Answer:

Which statements are true about the figure? Select two options.

Line JM intersects line GK at point N.

Horizontal line G K intersects vertical line J M at point N, forming a right angle. A line extends from point N to L, down and to the right.

Step-by-step explanation:

please mark me as brainliest

∠MNL and ∠KNL are complementary angles while ∠GNM and ∠JNK are supplementary angles

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right angled.

Complementary angles add up to 90 degrees while supplementary angle add up to 180 degrees.

∠MNL + ∠KNL = 90° (complementary angles)

∠GNM + ∠JNK = 180° (supplementary angles)

Find out more on angle at: https://brainly.com/question/25770607

#SPJ2

In the given scenario, the average is an example of a Parameter.

In statistics, a statistic is a numerical value or measure that is calculated from a sample of data. Statistics are used to summarize and describe the characteristics of a sample.

a variable is a symbol or letter that represents a quantity or value that can change or vary. Variables are used to describe relationships between quantities and to represent unknown values or values that can take on different values in different situations.

In statistics, a parameter is a characteristic of a population. A population refers to the entire group of individuals, objects, or events that we want to study. A parameter is a numerical value that describes some aspect of the population, such as its mean, variance, or proportion.

For example, if we want to study the average height of all students at a university, then the population is all the students at the university, and the parameter of interest is the population's mean height

A constant is a value that does not change. In mathematics, constants are often used to represent fixed values or quantities that do not depend on other variables or parameters.  

Here we have

A researcher record the individual change in weight for a small group of 25 freshmen from this college during their first semester.

Then, the researcher calculates the average change in weight during the first semester among these 25 students.  

By the given information,

In the given scenario, the average is an example of a Parameter.        

Learn more about Parameters at        

https://brainly.com/question/30044716

#SPJ1

Answer:

9.013, 9.13, 9.1342, 9.2

Answer:

She's getting paid minimum wage, in debt, and struggling in college.

The weakest base is C5H5N (pyridine) with Kb = 1.7 × 10^(-9). The correct answer is C.

The strength of a base is determined by its ability to accept or donate a pair of electrons. In general, a stronger base has a higher tendency to accept or donate electrons compared to a weaker base.

In the given options, the bases are characterized by their Kb values. Kb (base dissociation constant) represents the equilibrium constant for the reaction of a base with water to form the corresponding conjugate acid and hydroxide ions.

Comparing the Kb values provided:

A smaller Kb value indicates a weaker base because it corresponds to a lower concentration of hydroxide ions in solution. Therefore, in this case, C5H5N (pyridine) with a Kb value of 1.7 × 10^(-9) is the weakest base among the given options. The correct answer is C.

Learn more about base at https://brainly.com/question/17464001

#SPJ11

Answer:

answer is 1

Step-by-step explanation:

Answer:

(-4)-(-2)-{(-5)-[(-7)+(-3)-(-8)]}

=-4+2-{-5-[-7-3+8]

=2-{-5-[-2]}

=2-{-5+2}

=2+3

=5

Step-by-step explanation:

Question 1-

To determine which two points would a line of fit go through to best fit the data on the scatter plot, we need to visually analyze the pattern of the data points and choose two points that the line would pass through to represent the overall trend.

Without the actual scatter plot provided, I am unable to directly analyze it. However, based on the given answer choices:

A. (1,9) and (9,5)

B. (1,9) and (5,7)

C. (2,7) and (4,3)

D. (2,7) and (6,5)

Since I don't have the scatter plot, I cannot accurately determine which points would best fit the data. I would recommend carefully reviewing the scatter plot and selecting the two points that seem to represent the general trend or pattern of the data. The two points that form a line that closely follows the general direction of the data points would be the best choices.

Question 2-

To determine the slope of the relationship between the number of hours Laila danced, x, and the money she raised, y, we need to examine the graph and calculate the slope using the formula:

Slope = (change in y) / (change in x)

However, since the graph is not provided, it is not possible to directly calculate the slope. However, we can still evaluate the given answer choices based on their explanations:

A. The slope is 1/4, which means that the amount the student raised increases by $0.75 each hour.

B. The slope is 4, which means that the amount the student raised increases by $4 each hour.

C. The slope is 12, which means that the student will finish raising money after 12 hours.

D. The slope is 20, which means that the student started with $20.

From the explanations provided, it seems that option B would be the most reasonable choice. A slope of 4 would indicate that for each additional hour Laila danced, she raised $4. However, without the actual graph, it is challenging to confirm the accuracy of the answer choice or its real-world interpretation.

π/32 is the area enclosed by the curve r= sin(8θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(8θ) =0

=> sin(8θ) =0

=> 8θ = 0,π

=> θ = 0, π/8

so a=0 , b= π/8

now  

   A = \(\int\limits^a_b {\frac{1}{2} r^2 } \, d\theta\)    ------(i)

 so   \(r^2\) = (sin(8θ))^2

=>  \(sin^2\) ( 8θ )

ans we know that

cos(2α) = 1 -  2\(sin^2\) α

so   \(r^2\)  = (1- cos(16θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^a_b {\frac{1}{4} *(1-cos(16\alpha ) } \, d\alpha\)

=> 1/4* \(\int\limits^a_b {(1-cos(16\alpha ) } \, d\alpha\)

here a=0 and b=π/8

after putting the value and solving the integral

A = π/32

so A is the area enclosed by r=sin(8θ) is π/32

To know more about polar curve click on below link:

https://brainly.com/question/1094340#

#SPJ4

Answer:

9/100

Step-by-step explanation:

a percent is 9 out of 100 so it is 9/100

Answer:

4

Step-by-step explanation:

Answer:

nmn

Step-by-step explanation: