Solve for X
X/2≥−4
A. x≥−8
B.x≤−2
C.x≤−8
D.x≥−2
Answers
Related Questions
A newspaper reports says a company made £700.00 profit llast year. It was 12% more than last year work out how much profit the company made the previous year
Answers
Answer:
£616
Step-by-step explanation:
700 - 12% = 616
616 is 12% less than 700
help asap
show work
i will make u brainlest.
Answers
Answer:
1. A
2. D
3. A
4. A
Step-by-step explanation:
Question 1:
Switch sides:
5(5 + 4v) > 105
Divide both sides by 5:
5(5 + 4v) / 5 > 105/5
Simplify:
5 + 4v > 21
Subtract 5 from both sides:
5 + 4v - 5 > 21 - 5
Simplify:
4v > 16
Divide both sides by 4:
4v/4 > 16/4
Simplify:
v>4
Question 2:
Expand:
5m - 3m - 6 < 24 - 3m
Add similar elements:
2m - 6 < 24 - 3m
Add 6 to both sides:
2m - 6 + 6 < 24 - 3m + 6
Simplify:
2m < -3m +30
Add 3m to both sides and simplify:
5m < 30
Divide both sides by 5:
5m/5 < 30/5
Simplify:
m<6
Question 3:
Expand:
18x + 12 ≤ -39 + x
Subtract 12 from both sides and simplify:
18x ≤ x - 51
Subtract x from both sides and simplify:
17x ≤ -51
Divide both sides by 17 and simplify:
x ≤ -3
Question 4:
Add similar elements:
-3m + 5m = 2m
Expand and simplify:
2m ≥ -12m
Add 12m to both sides and simplify:
14m ≥ 0
Divide both sides by 14 and simplify:
m ≥ 0
i beg someone to answer ive posted this 3 times and im still not sure how to do it.....
Which of the following is the best estimate for the number of seconds which have elapsed since the start of the year 2000?
(note: date was June 2001)
A) 3 X 10⁴
B) 3 x 10⁵
C) 3 x 10⁶
D) 3 X 10⁷
E) 3 X 10⁸
(with working out please)
Answers
Answer:
D) 3 X 10⁷
Step-by-step explanation:
Estimated days:
Jan 2000 to June 2001 = 1.5 years = 365*1.5 days ≈ 548 days1 day = 24 hours = 24*60 minutes = 24*60*60 seconds = 86400 seconds548 days = 548 * 86400 seconds = 47347200 ≈ 4.7*10⁷Best estimate is D) 3 X 10⁷
In the figure below, points D, E, and F are the midpoints of the sides of LABC,
Suppose DF=34, AC=48, and BC=78.
Find the following lengths.
Answers
Answers:
DE = 39AB = 68BE = 34=============================================================
Explanation:
BC = 78 is parallel to the midsegment DE.
This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39
-------
DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.
-------
BE = 34 for two reasons
Quadrilateral EBFD is a parallelogram with opposite sides BE and DF that are congruent. E is the midpoint of AB, so BE is half as long as AB--------
We don't use the info that AC = 48.
Volume of a cone rh, curved surface area of a cone = xr!] [Volume of a spheresurface area of a sphere 4ar']
The solid is formed from a hemisphere of radius rcm fixed to a cone of radius rcm and height hem. The volume of the hemisphere is one third of the volume of the solid.
(a) Find h in terms of r
(b) The slant height of the cone can be written as Vk cm, where k is an integer.
Find the value of k
(c) Find an expressionin terms of r and x, for the total surface area, in cm², of the solid
Answers
Answer:
Long solution
Step-by-step explanation:
(a) Let the height of the cone be h cm. The volume of the hemisphere is given by (1/2)(4/3)πr³ = (2/3)πr³. The volume of the solid is the sum of the volumes of the hemisphere and the cone, which is (2/3)πr³ + (1/3)πr²h. Since the volume of the hemisphere is one third of the volume of the solid, we have:
(2/3)πr³ = (1/3)πr²h
Simplifying, we get:
2r = h
Therefore, h is expressed in terms of r as h = 2r.
(b) The slant height of the cone can be found using the Pythagorean theorem. Let l be the slant height, then we have:
l² = r² + h²
Substituting h = 2r, we get:
l² = r² + (2r)² = 5r²
Taking the square root of both sides, we get:
l = r√5
Since k is an integer, we can write:
l = Vk cm, where k is an integer
Comparing the two expressions, we get:
Vk = r√5
Therefore, the value of k is k = ⌊r√5⌋, where ⌊x⌋ denotes the largest integer less than or equal to x.
(c) The total surface area of the solid is the sum of the curved surface area of the cone, the curved surface area of the hemisphere, and the area of the circular base of the cone. We have:
Curved surface area of the cone = πr l = πr(r√5) = πr²√5
Curved surface area of the hemisphere = 2πr²
Area of the circular base of the cone = πr²
Therefore, the total surface area of the solid, in cm², is given by:
πr²√5 + 2πr² + πr² = (πr²)(√5 + 3)
Instructions
For this option, you will work individually.
You’ve worked hard in this module to become a pro at equations! Now, you’ll put your skills to the test. Your job is to create an equations portfolio. The format is up to you. Be creative! You may use a slideshow, document, video, etc. As long as all of the parts of the project are addressed, the delivery is up to you.
Your portfolio must include a minimum of the following five types of equations and solutions:
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable. Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend!
This is a total of 7 equations and solutions.
Answers
1) An example of a 2 step equation is:
5x + 2 = 17
2) An example of a 2 step equation that contains fractions:
(2/3)x + 6 = 18
3) One equation with distributive property is:
4x(6 - 2) - 10 = 20
4) One equation with decimals is;
4.3x + 0.7 = 5
How to Identify types of Equations?An example of a 2 step equation is:
5x + 2 = 17
An example of a 2 step equation that contains fractions:
(2/3)x + 6 = 18
One equation with distributive property is:
4x(6 - 2) - 10 = 20
One equation with decimals is;
4.3x + 0.7 = 5
Real world equation:
Peter's restaurant is bringing in money from customers, and he needs to know how much he needs to pay off the bill for the electricity to run the place. To turn the electricity on, he has to pay $25. For every hour that the electricity is on for, he has to pay $4. How many hours can he have the electricity on for if she makes $49 profit?
I hope these helped! Not too sure about the last one, I sort of let me imagination run wild. In any case, don't hesitate to ask me questions if you have any further inquiries. <3
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whenever the probability is proportional to the length of the interval, the random variable is uniformly distributed.T/F
Answers
The given statement "whenever the probability is proportional to the length of the interval, the random variable is uniformly distributed" is true because this is a characteristic property of a continuous uniform distribution.
In a continuous uniform distribution, the probability density function is constant over a given interval, which means that the probability of the random variable taking any value within that interval is proportional to the length of the interval.
This is because the total area under the probability density function curve must be equal to 1, and if the function is constant over the interval, the area of the rectangle representing the probability will be proportional to the length of the interval.
Therefore, a random variable that follows a continuous uniform distribution is uniformly distributed whenever the probability is proportional to the length of the interval.
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recently 1 Chinese yuan was equivalent to 0.13 euros and 1 euro was equivalent to $1.09 us dollars. using this conversion how many us dollars is 40 Chinese yuan
Answers
Hello
chinese yuan euro dollar
1 0,13 1,09
40 ?
? = 40 x 1,09/1 = 43,6
43,6 Chinese yuan = $43,6
5.6$
we have 1 yaun=0.13 euro
1 euro=1.09 dollars
so first we will convert 40 yuan into euros for that we have l yaun=0.13 euro from this if l yaun=0.13 euro then how much is 40 yuan
l yaun=0.13 euro
40 yuan = ?
crisscross then we get
?=40yuan×0.13euro÷1yuan
?=5.2 euros
1euros =1.09 dollars
5.2euros =?
?=5.2 euros ×1.09$÷1euros
?=5.67$
help me with this ques. (need solution and answer both) thanks so much <3
Answers
Answer:
1.) 27a^11 + 18a^9 -72a^7
2.) 6p^4q^3 - 10p^3q + 4p^2q3
Step-by-step explanation:
1.) Distribute and do the math
-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2
27a^11 + 18a^9 -72a^7
2.) Distribute and do the math
2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2
6p^4q^3 - 10p^3q + 4p^2q3
Find the solution of this system of equations
3x + 2y = -21
-7x - 4y = 33
Enter the correct answer
Answers
Explain how you can solve inequality-2x +4 <16
Answers
The solution to the inequality -2x + 4 < 16 is x > -6.
To solve the inequality -2x + 4 < 16, you can follow these steps:
Start by isolating the variable term. In this case, the variable term is -2x. Move the constant term, which is +4, to the other side of the inequality by subtracting 4 from both sides:
-2x + 4 - 4 < 16 - 4
-2x < 12
Next, divide both sides of the inequality by the coefficient of x, which is -2. It's important to note that when you divide or multiply an inequality by a negative number, you need to reverse the direction of the inequality sign:
(-2x) / -2 > 12 / -2
x > -6
The solution to the inequality is x > -6. This means that any value of x greater than -6 would satisfy the original inequality. Graphically, this represents all the numbers to the right of -6 on the number line.
So, the solution to the inequality -2x + 4 < 16 is x > -6.
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A soccer game is 90 minutes long. 36 minutes have passed. What percentage of the game has passed?
Answers
Answer:
The answer is 40%
Step-by-step explanation:
Answer:
40% increase
Step-by-step explanation:
90 - 36 = 54
90 - 54 = 36
36 / 90 = 0.4
0.4 x 100 = 40%
Amber had of a book of postage stamps. She used of the book of postagestamps.Which fraction of the book of postage stamps does Amber have now?一01-161616
Answers
We were told that Amber had 5/6 of a book of postage stamps. If she used 2/6 of the book of postage stamp, then the fraction of the book of postage stamp that she has left is
5/6 - 2/6
= 3/6
She has 3/6 now
In circle Q with the measure of arc ⌢=118∘PR⌢ =118 ∘ , find m∠PQRm∠PQ
Answers
Explanation
We are given the measure of arc PR = 118°.
We are required to find m∠PQR.
We know that an arc measure is an angle the arc makes at the center of a circle. Therefore, we have:
\(\begin{gathered} obtuse\text{ }m\angle PQR=118\degree \\ obtuse\text{ }m\angle PQR+reflex\text{ }m\angle PQR=360\degree\text{ }\lbrace angles\text{ }at\text{ }a\text{ }point\rbrace \\ reflex\text{ }m\angle PQR=360\degree-obtuse\text{ }m\angle PQR \\ reflex\text{ }m\angle PQR=360\degree-118\degree \\ reflex\text{ }m\angle PQR=242\degree \end{gathered}\)Hence, the answer is:
\(\begin{gathered} obtuse\text{ }m\angle PQR=118\degree \\ reflex\text{ }m\angle PQR=242\degree \end{gathered}\)But since Q is the measure of the angle, then the final answer is 118°.
PLEASE HELP!!!! THIS IS DUE BY TONIGHT AND I ONLY HAVE 13 POINTS
Rico paid $180 sales tax on his new $2,400 motorcycle. What was the sales tax percentage rate where he bought his motorcycle?
wth Rico that's an expensive motorcycle.
Answers
Answer:
7.5 percent.
Step-by-step explanation:
One thousand students atende queen city elementary school 5/1,000 of the students were absent on Monday how can the number of students be written as a decimal
Answers
Answer:
Number of absent student in decimal = 0.005
Step-by-step explanation:
Given:
Number of student = 1,000
Number of absent student = 5 / 1,000
Find:
Write number of absent student in decimal
Computation:
Number of absent student = 5 / 1,000
Number of absent student in decimal = 5 / 1,000
Number of absent student in decimal = 0.005
which of the following points satisfies the inequality 2x - 3y < 1?
Answers
Answer:
None of the given points satisfy the inequality 2x - 3y < 1.
Step-by-step explanation:
To determine which points satisfy the inequality 2x - 3y < 1, we can substitute the coordinates of each point into the inequality and check if the inequality holds true.
Let's consider the given points:
Point A: (1, 0)
2(1) - 3(0) < 1
2 - 0 < 1
2 < 1 (False)
Point B: (-1, -1)
2(-1) - 3(-1) < 1
-2 + 3 < 1
1 < 1 (False)
Point C: (3, -2)
2(3) - 3(-2) < 1
6 + 6 < 1
12 < 1 (False)
None of the given points satisfy the inequality 2x - 3y < 1.
Therefore, none of the points A, B, or C satisfy the inequality.
Find the line of best fit for the relationship between calories and fat.
y=0.0714x-9.2682
y=1.2653x+14.452
y=2.5612x+4.9045
y=1.139x-6.7093
Answers
Answer: Choice A
y=0.0714x-9.2682
==============================================
Explanation:
I used GeoGebra (free graphing software) to find the line of best fit, aka the regression line. You can do so by hand, but I think it's tedious busywork and prefer to use technology whenever possible. Other graphing and spreadsheet programs are able to compute the regression line as well.
Check out the diagram below.
Here are the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, 5, 47, 23, 65. to make a stemplot of these data, you would use stems.
a. 0, 2, 3, 4, 6, 8
b. 0, 1, 2, 3, 4, 5, 6, 7, 8
c. 0, 3, 5, 6, 7
d. 00, 10, 20, 30, 40, 50, 60, 70, 80, 90
e. None of these
Answers
The stems are 0, 2, 3, 4, 5, 6, 8. Therefore option e, is the correct answer
Stem and leaf plot are used in statistics to organize data that are collected. Any number in a data is broken down into a stem and a leaf.
Stem displays data on the left while leaf displays data to the right
The data for the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, 5, 47, 23, 65 can be represented in the stem and leaf plot below:
2 I 3 ⇒ 2 on the stem and 3 on the leaf read as 23
3 I 5 ⇒ 3 on the stem and 5 on the leaf read as 35
4 I 6 ⇒ 4 on the stem and 6 on the leaf read as 46
4 I 7 ⇒ 4 on the stem and 7 on the leaf read as 47
5 I ⇒ 5 on the stem as 5
5 I 0 ⇒ 5 on the stem and 0 on the leaf read as 50
6 I 5 ⇒ 6 on the stem and 5 on the leaf read as 65
8 I 6 ⇒ 8 on the stem and 6 on the leaf read as 86
Hence, stems are 0, 2, 3, 4, 5, 6, 8
Therefore, option e, is the correct answer
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what is the value of the median for the following set of scores? scores: 1, 3, 4, 6, 8, 12, 13, 23, 25, 26 group of answer choices 10 12.5 7 8
Answers
The median is the middle number of the set. The middle number in this set is 12.5. Therefore, the median is 12.5.
To find the median of a set of numbers, you need to first arrange the numbers in numerical order. The numbers from the given set, arranged in numerical order, are:
1, 3, 4, 6, 8, 12, 13, 23, 25, 26
The median is the middle number of the set. The middle number in this set is 12.5. Therefore, the median is 12.5.
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The sampling error is ...
a. The difference between a sample statistic and a population parameter
b. Always positive
c. The difference between the z value and the mean
d. Equal to the population
Answers
The correct answer is: (a) The difference between a sample statistic and a population parameter.
The sampling error refers to the discrepancy or difference between a sample statistic (such as the sample mean or sample proportion) and the corresponding population parameter (such as the population mean or population proportion).
It represents the extent to which the sample statistic may deviate from the true population parameter.
Sampling error can arise due to random sampling variability and is inherent in the process of using a sample to make inferences about a larger population.
In statistical inference, the sampling error is an essential concept as it helps in determining the precision of the sample estimate. The smaller the sampling error, the more accurate is the estimate of the population parameter.
It is important to consider and account for sampling error when interpreting the results of a study or drawing conclusions based on sample data.
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In ΔEFG, \overline{EG}
EG
is extended through point G to point H, \text{m}\angle EFG = (2x+1)^{\circ}m∠EFG=(2x+1)
∘
, \text{m}\angle FGH = (6x+2)^{\circ}m∠FGH=(6x+2)
∘
, and \text{m}\angle GEF = (x+19)^{\circ}m∠GEF=(x+19)
∘
. Find \text{m}\angle GEF.m∠GEF.
Answers
Answer:
X+19=(6)+19=25
Step-by-step explanation:
The measure of angle GEF is 25°
What is Triangle?
A triangle is a three sided polygon , which has three vertices.
Given that;
In ΔEFG,
EG is extended through point G to point H.
m ∠EFG = (2x + 1)°
m ∠FGH = (6x + 2)°
m ∠GEF = (x + 19)°
Here, m ∠FGH is an exterior angle of ΔEFG.
And, m ∠EFG and m ∠GEF are interior angles of ΔEFG.
Since, Sum of two interior angle is equal to the value of an exterior angle.
Hence, We can formulate;
(2x + 1)° + (x + 19)° = (6x + 2)°
Solve as;
2x + 1 + x + 19 = 6x + 2
3x + 20 = 6x + 2
Subtract 3x both side;
3x + 20 - 3x = 6x + 2 - 3x
20 = 3x + 2
3x + 2 = 20
Subtract 2 both side;
3x + 2 - 2 = 20 - 2
3x = 18
Divide by 3;
x = 6
Thus, Value of m ∠GEF = (x + 19)° = (6 + 19)° = 25°
Therefore, The measure of angle GEF is 25°.
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Despite their efforts, the shoguns were unable to prevent japan from becoming a colony of a european power. please select the best answer from the choices provided t f
Answers
The statement "Despite their efforts, the shoguns were unable to prevent Japan from becoming a colony of a European power" is true.
During the late 19th and early 20th centuries, Japan faced increasing pressure from European powers to open up to foreign trade and influence. Despite the efforts of the shoguns to resist foreign control and maintain their independence, Japan eventually succumbed to colonization by a European power. This marked a significant shift in Japan's political and social landscape, leading to the transformation of its feudal system and the emergence of a centralized imperial government.
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A conical paper cup is 11 cm tall with a radius of 11 cm. The cup is being filled with water so that the water level rises at a rate of 3 cm/sec. At what rate is water being poured into the cup when the water level is 9 cm
Answers
The rate at which water is being poured into the cup when the water level is 9 cm is approximately 0.42 cm/sec.
To solve this problem, we can use related rates. Let's consider the height of the water in the cup as "h" and the radius of the water surface as "r". We know that the water level is rising at a rate of 3 cm/sec, which can be represented as dh/dt = 3 cm/sec.
Now, we need to find dr/dt, the rate at which the radius is changing when the water level is 9 cm. To do this, we can use similar triangles. The cone and the water form similar triangles, so the ratio of the radius of the water surface to the height of the water in the cup is constant. This means that r/h = 11/11 = 1. Therefore, the radius of the water surface is equal to the height of the water, r = h.
Differentiating both sides of the equation r = h with respect to time, we get dr/dt = dh/dt. Since we know that dh/dt = 3 cm/sec, we can conclude that dr/dt is also equal to 3 cm/sec.
So, when the water level is 9 cm, the rate at which water is being poured into the cup is approximately 0.42 cm/sec. This is because dr/dt = 3 cm/sec and r = 9 cm.
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Similar figures have sides that are proportional and corresponding angles 1 that are to each other * Cooresponding Similar O Congruent O Proportional O None of the above
Answers
Similar figures have sides that are proportional and corresponding angles are congruent to each other
Consider the function f (x) = 3x – 2 and the function g(x), which is represented by the table below. x 1 3 5 7 9 g(x) 3 7 11 15 19 Which of the following statements about f(x) and g(x) is true? Select all that apply. The line represented by f(x) crosses the x–axis to the right of the line represented by g(x). The y–intercept of f(x) is smaller than the y–intercept of g(x). The lines represented by f(x) and g(x) are parallel. The values of f(x) and g(x) are the same at x = 3. The slope of f(x) is smaller than the slope of g(x).
Answers
Answer:
A and c
Step-by-step explanation:
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Answers
The two true statements regarding the circle equation are:
"The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9"
"The center of the circle lies on the x-axis."
Which statements are true about the circle equation?Remember that the equation for a circle of center (a, b) and radius R is:
(x - a)^2 + (y - b)^2 = R^2
Here we have the equation:
x^2 + y^2 - 2x - 8 =0
First we need to complete squares on x, remember the perfect square trinomial:
(a - b)^2 = a^2 - 2ab + b^2
So we can rewrite:
x^2 + y^2 - 2x - 8 =0
(x^2 - 2x) + y^2 = 8
Now we can add and subtract 1:
(x^2 - 2x) + y^2 + 1 - 1 = 8
(x^2 - 2x + 1) + y^2 - 1 = 8
(x - 1)^2 + y^2 = 8 + 1
(x - 1)^2 + y^2 = 3^2
So, the center is (1, 0) and the radius is 3.
Then the true statements are:
"The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9" it is also 3.
"The center of the circle lies on the x-axis." because the center is at (1, 0).
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How many different possible outcomes are there if you spin a spinner labeled
Red, Blue, Yellow, Green, Purple three times?
Answers
The different possible outcomes if you spin a spinner labeled
Red, Blue, Yellow, Green, Purple three times is 360 outcomes
This question has to do with the arrangement since, for each spin, the colors can fall in different positions.
If the spinner is spun once, the total number of possible outcomes if you spin a spinner labeled Red, Blue, Yellow, Green, Purple is 5! (there are 5 colors)
5! = 5 * 4 * 3 * 2
5! = 120 ways
If you spin the spinner 3 times, the total possible outcomes will be 3(120) = 360 ways
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How many positive integers less than 1000 are 6 times the sum of their digits ?.
Answers
Only 1, 54.
There are obviously no such 1-digit numbers (1 - 9).
Let n = ab be a 2-digit number whose value is 6 times its digit sum, meaning
n = 10a + b = 6 (a + b)
Then
10a + b = 6a + 6b
4a = 5b
Now, 4 and 5 are coprime, so for equality to hold, a must be a multiple of 5 and b must be a multiple of 4.
The only valid multiple of 5 is 5 itself:
• a = 5 ⇒ 5b = 20 ⇒ b = 4
There are 2 multiples of 4 to check. The first one gives the same result as a = 5.
• b = 8 ⇒ 4a = 40 ⇒ a = 10
but a must be 1-digit.
So among the 2-digit numbers, only 1 such number exists, n = 54.
Let n = abc be a 3-digit number satisfying the criterion. Then
n = 100a + 10b + c = 6(a + b + c)
100a + 10b + c = 6a + 6b + 6c
94a + 4b = 5c
c must be a number from 1-9, which means at most 5c = 5•9 = 45.
If we take the smallest possible values of a and b, we have
94•1 + 4•0 = 94
but the smallest value of 94a + 4b is larger than the largest value of 5c.
So there are no such 3-digit numbers.
You are part of an exemplary team of climate change scientists. As part of your research, you are studying whether the growth of the Bogong wallaby grass is associated with environmental and climate variables. Specifically, you're asking: is the height of Bogong wallaby grass explained by altitude and maximum summer temperature. You also hypothesise that the effect of altitude interacts with the effect of maximum summer temperature. You conduct a multiple linear regression in R with an interaction term using z-standardisation of your predictor variables .
Your estimated regression coefficients are: intercept β^0β^0 = 34, effect of altitude β^1β^1 = -2.48, effect of maximum summer temperature β^2β^2 = 2.58, and effect of the interaction between maximum summer temperature and altitude γ^12γ^12 = -3.9. For each statement, decide if it is true or false.
(a) As maximum summer temperature increases, height of Bogong wallaby grass increases. True False
(b) For every one standard deviation increase in maximum summer temperature (at average altitude), the height of Bogong wallaby grass increases by 2.58 units. True False
(c) For every one standard deviation increase in altitude, the height of Bogong wallaby grass increases by 2.48 units. True False
(d) The effect of maximum summer temperature becomes more positive (increases) as altitude increases. True False
Answers
The Statement c is true.The given estimated regression coefficients are:
Intercept β0 = 34,
effect of altitude β1 = -2.48,
effect of maximum summer temperature β2 = 2.58, and effect of the interaction between maximum summer temperature and altitude γ12 = -3.9.Statement a is false.
As maximum summer temperature increases, height of Bogong wallaby grass decreases.Statement b is false.
For every one standard deviation increase in maximum summer temperature (at average altitude), the height of Bogong wallaby grass decreases by 2.58 units.Statement c is true.
For every one standard deviation increase in altitude, the height of Bogong wallaby grass decreases by 2.48 units.Statement d is false.
The effect of maximum summer temperature becomes more negative (decreases) as altitude increases.
Therefore, the answer is:
Statement a is false. As maximum summer temperature increases, height of Bogong wallaby grass decreases.
Statement b is false. For every one standard deviation increase in maximum summer temperature (at average altitude), the height of Bogong wallaby grass decreases by 2.58 units.
Statement c is true. For every one standard deviation increase in altitude, the height of Bogong wallaby grass decreases by 2.48 units.
Statement d is false. The effect of maximum summer temperature becomes more negative (decreases) as altitude increases.
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