The strength and relationships of the given data is verified as reasonable.
Given,
Determine the degree of the link (weak, moderate, or strong) in each of the six plots and if it is reasonable to fit a linear model to the data.
(a) There is a moderate relationship in the data. A linear model should not be reasonable.
→ From the plot here, it is clear that the data is following a quadratic trend, so a linear model should not be reasonable. On the other hand, it is also clear that the data is scattered more than a little around the approximate quadratic trend line, so there is a moderate relationship in the data.
(b) There is a strong relationship in the data. A linear model should be reasonable.
→ From the plot here, it is clear that the data is following a linear trend, so a linear model should be reasonable. On the other hand, it is also clear that the data is scattered almost a little around the approximate linear trend line, so there is a strong relationship in the data.
(c) There is a weak relationship in the data. A linear model should not be reasonable.
→ From the plot here, it is clear that the data is not following any trend, so a linear model should not be reasonable. On the other hand, it is also clear that the data is scattered everywhere, so there is a weak relationship in the data.
(d) There is a moderate relationship in the data. A linear model should not be reasonable.
→ From the plot here, it is clear that the data is following a quadratic trend, so a linear model should not be reasonable. On the other hand, it is also clear that the data is scattered more than a little around the approximate quadratic trend line, so there is a moderate relationship in the data.
(e) There is a strong relationship in the data. A linear model should be reasonable.
→ From the plot here, it is clear that the data is following a linear trend, so a linear model should be reasonable. On the other hand, it is also clear that the data is scattered almost a little around the approximate linear trend line, so there is a strong relationship in the data.
(f) There is a weak relationship in the data. A linear model should not be reasonable.
→ From the plot here, it is clear that the data is not following any trend, so a linear model should not be reasonable. On the other hand, it is also clear that the data is scattered everywhere, so there is a weak relationship in the data.
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Find the quotient.
(2x4 – 3x3 – 6x2 + 11x + 8) ÷ (x – 2)
Quotient is 2x³ +x² -4x+3 for (2x⁴ – 3x³ – 6x² + 11x + 8) ÷ (x – 2)
What is Division?A division is a process of splitting a specific amount into equal parts.
(2x⁴ – 3x³ – 6x² + 11x + 8) ÷ (x – 2)
Let f(x)=2x⁴ – 3x³ – 6x² + 11x + 8
and g(x)=x-2
We need to divide the f(x) by g(x),
f(x)=g(x)× (2x³ +x² -4x+3)+16
If we equate the above equation with division algorithm which says,
a=bq+r
f(x)=g(x)q(x)+r(x)
so quotient is 2x³ +x² -4x+3
Hence quotient is 2x³ +x² -4x+3 for (2x⁴ – 3x³ – 6x² + 11x + 8) ÷ (x – 2)
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HELP ME OLEASE
The number of integers between 1 and 2022 inclusive that are multiples of 11 but not multiples of 3 is
The number of integers between 1 and 2022 inclusive that are multiples of 11 but not multiples of 3, using arithmetic sequences, is of:
122.
What is an arithmetic sequence?An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The nth term of an arithmetic sequence is given by the rule presented as follows:
[tex]a_n = a_1 + (n - 1)d[/tex]
In which [tex]a_1[/tex] is the first term of the arithmetic sequence.
The sequence composed by the integer multiples of 11 between 1 and 2022 are given as follows:
(11, 22, ..., 2013)
The first term and the common ratio of the sequence are given as follows:
[tex]a_1 = 11, d = 11[/tex]
The number of terms is obtained as follows:
2013 = 11 + 11(n - 1)
11n = 2013
n = 2013/11
n = 183.
The sequence composed by terms that are multiples of 11 and of 3 is given by:
(33, 66, ..., 2013).
The first term and the common ratio of the sequence are given as follows:
[tex]a_1 = 33, d = 33[/tex]
The number of terms is obtained as follows:
2013 = 33 + 33(n - 1)
33n = 2013
n = 2013/33
n = 61.
Hence the number of integers that are multiples of 11 but not 3 is given by:
183 - 61 = 122.
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A furniture maker uses the specification 17.9≤w≤18.1 for the width w in inches of a desk drawer. Write the specification as an absolute value inequality.
The specification as an absolute value inequality is l w - 18 l ≤ 0.1.
Given:
A furniture maker uses the specification 17.9≤w≤18.1 for the width w in inches of a desk drawer.
m = 17.9 + 18.1 / 2
= 36/2
= 18
t = 18.1 - 17.9
= 0.2/2
= 0.1
l w - 18 l ≤ 0.1
Therefore The specification as an absolute value inequality is l w - 18 l ≤ 0.1.
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HELP ME ASPPP PLEASE SHOW UR WORK PLEASE
Answer: -9
Step-by-step explanation:
A rival company offers you an annual salary of $36,000.Except for the pay, everything is identical between the companies. Do you accept or reject the rival company's offer, and why?
I will have to reject the offer of the rival company since it's lesser than $40560.
How to calculate the amountFrom the information, the person works a basic week of 40 hours and the basic rate is $19.50 per hour. It should be noted that there are 52 weeks in a year. The total amount will be:
= 40 × 19.50 × 52
= $40560
The rival company offers you an annual salary is $36000.
I'll reject the rival company's offer since it's lower.
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Complete question
You work a basic week of 40 hours and your basic rate is $19.50 per hour. A rival company offers you an annual salary is $36.000. Except for the pay, everything is identical between the conpanies. Do you accept or reject the rival company's offer, and why?
Simplifying Square Roots of Negative numbers
Answer:
10i
Step-by-step explanation:
using the fact that [tex]\sqrt{-1}[/tex] = i , then
[tex]\sqrt{-100}[/tex]
= [tex]\sqrt{100(-1)}[/tex]
= [tex]\sqrt{100}[/tex] × [tex]\sqrt{-1}[/tex]
= 10 × i
= 10i
= 0 + 10i ← in standard form
Whitch set of paper towels is the better buy? 8 rolls for $8.73 or 14 rolls for $12.32?
Help Plssss!!!!!!!!!!
Write an equation for the translation of y = 4/x that has asymptotes at x = - 3
x and y = - 4.
Equation for the translation of y=4/x that has the given asymptotes.
x = -3 and y = -4 is y = [tex]\frac{4}{x+3} -4[/tex]
Given,
In the question:
The translation of y = 4/x that has asymptotes at x = - 3 and y = - 4.
Write an equation:
Now, According to the question:
What is asymptote?
A line that, in analytical geometry, is an asymptote of a curve is one where, when one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar settings.
According to the above statement:
The equation will be :
y = [tex]\frac{4}{x+3} -4[/tex]
Hence, Equation for the translation of y=4/x that has the given asymptotes.
x = -3 and y = -4 is y = [tex]\frac{4}{x+3} -4[/tex]
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what's 182.91% as a decimal
Answer:
1.8291
Step-by-step explanation:
In the first week of July,1,020 a record people went to the local swimming pool. In the second week, 125 fewer people went to the pool than in the first week. In the third week, 145 more people went to the pool than in the second week. In the fourth week, 175 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four weeks?
The percent decrease in the number of people who went to the pool over these four weeks is 15.2%.
How to calculate the percentage?The change regarding the people at the swimming pool for the number of weeks will be:
= 1020 - 125 + 145 - 175
= 865
The initial number of people is 1020.
Therefore, the percentage decrease will be:
= Decrease in number / Initial number × 100
= (1020 - 865) / 1020 × 100
= 155/1020 × 100
= 15.2%
The Percentage is 15.2%.
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Jeremy has 2 bags with 3 marbles in each bag
Answer:
then he has 6 marbl3s total.
What number needs to be added to this set of numbers so the mean is 6? {3,4,7}
The finalized set is { 3 , 4 ,7 , 10 }
How is mean calculated ?Only numerical variables, whether continuous or discrete, can be used to calculate the mean. It is calculated by merely dividing the total number of values in a data set by the sum of all the values in the data set.
The given set is {3,4,7}
3 + 4 + 7 =14
To calculate the mean we divide the sum by the number of numbers present
So we must add 10
because if we add 10 to the set we get
3 + 4 + 7 + 10= 24
Thus the mean = [tex]\frac{24}{4}[/tex]
When we divide these two numbers we get :
mean = 6
Thus the finalized set is { 3 , 4 ,7 , 10 }
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HELPPPPPPPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
150 plates
Step-by-step explanation:
if 1 stack = 10 plates then
15 stacks =?
15×10 =150
Answer:
150
Step-by-step explanation:
If 1 stack = 10 plates all you have to do is figure out how 1 changes to 15 ( in this case multiply). You tyen multiply 10 by 15 which equals to 150.
Bria and April were comparing text messages during lunch. April sent 20 messages today. April sent one fourth the amount of text messages sent by Bria. write a equation to determine how many text messages Bria sent.
answer:
0.25 (or 1/4) x 20 = 5
step-by-step explanation:
math. 0.25x20 = 5
Help.
What would the graph look like if all of your classmates
points were shown along with yours?
Answer: 5
Step-by-step explanation:
FLOWERS The number of tulips in Paula's garden is 8 less than the number of marigolds. If there are 16 tulips, write and solve an equation to determine the number of marigolds m.
The number of marigold in the garden of Paula is 24.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Let the number of marigold be m.
In this case, the number of tulips in Paula's garden is 8 less than the number of marigolds. The number of marigold will be:
m - 8 = 16
m = 16 + 8.
m = 24
The number of marigold is 24.
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Express using exponents and simplify any numerical coefficients: w · w · w
Answer:
w to the power of 3 or w^3
Step-by-step explanation:
For example, plug in a number for the variable given, and in this case, I used the number 2. When using the number 2, the question would become 2 * 2 * 2. It would be simplified as 2 to the power of 2 to the power of 3. That's how I got the answer of w to the power of 3.
The numbers 2.8888..... and 2.99999...... are both rational numbers. What is an irrational number that is between the two rational numbers?
Answer:Anything between the square root of 8.36 and 8.99
Step-by-step explanation:
Any of the square roots of the number above are between 2.8 repeating and 2.9 repeating.
What kind of transformation is illustrated in this figure?
O rotation
O dilation
O translation
O reflection
Answer:
dilation (sorry if i got it wrong im trying my best)
Answer:
Rotation
Step-by-step explanation:
It is rotated 180° at a point (which u could draw line of each object with its respective image to find the rotation point)
jack and bob leave their houses at 10:00 am walking toward each other. they meet at 10:30 am. if their houses are 7km apart, and jack is walking at 8 km/h , find bobs rate
URGENT
Bob is walking at the rate of 6 kilometer per hours
Jack and Bob leave their houses at 10:00 am walking toward each other and they meet at 10.30 am.
The distance between two houses = 7 kilometer
The speed of the Jack = 8 kilometer per hour
The distance traveled by Jack in 30 minutes = 8 / 2
= 4 kilometer
The remaining distance = 7 - 4
= 3 kilometer
Bob traveled 3 kilometers in 30 minutes
Then the speed of the Bob = 3 × 2
= 6 kilometer per hour
Hence, the Bob is walking at the rate of 6 kilometer per hours
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Determine the new coordinate location after (-3,7) on the graph y=-x^2 has undergone the following transformation: A reflection in the x axis followed by a vertical translation of 4 units up. What is the new coordinate?
Check the picture below.
notice the point, reflected over the x-axis and then shifted upwards, notice the parabola mentioned above, nowhere near it.
can some pls help me with this
Find the next two terms in this
sequence.
1, -3, 9, -27, 81, [ ? ],
Answer:
-243, 729
Step-by-step explanation:
[tex]f(x) = {( - 3)}^{x} [/tex]
x = 0, 1, 2, 3, .....
[tex]f(5) = {( - 3)}^{5} = - 243[/tex]
[tex]f(6) = {( - 3)}^{6} = 729[/tex]
HELP NOW
The function f(x)=(1-x)^2-4 is decreasing only throughout the interval:
The function f(x)=(1-x)^2-4 is decreasing only throughout the interval is
-∞ < x < 1.
Given function:
f(x)=(1-x)^2-4
= 1 + x^2 - 2x - 4
= x^2 - 2x - 3
for decreasing:
f'(x) ≤ 0
2x - 2 - 0 ≤ 0
2x -2 ≤ 0
2x ≤ 2
x ≤ 1
-∞ < x < 1.
Therefore The function f(x)=(1-x)^2-4 is decreasing only throughout the interval is -∞ < x < 1.
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how much of brand A fruit punch (20% fruit juice) must be mixed with 9 L of brand b fruit punch (40% fruit juice) to create a mixture contains 32% fruit juice ?
6 liters of brand A fruit punch must be mixed with 9 L of brand b fruit punch.
Let x=liters of Brand A fruit punch to be mixed with 9 liters of Brand B fruit punch.
x + 9 = liters of mixture.
20%(x) + 9*40% = 32%(x+9)
20/100 x + 9*40/100 = 32/100 (x+9)
0.2x + 360/100 = 0.32x + 9*0.32
0.2x + 3.6 = 0.32x + 2.88
0.12x = 3.6 - 2.88
0.12x = 0.72
divide by 0.12 on both sides
x = 0.72/0.12
= 72/100/12/100
= 72/12
= 6 liters.
Therefore 6 liters of brand A fruit punch must be mixed with 9 L of brand b fruit punch.
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Tell whether the relation, represented by the ordered pairs below, represents a function. Explain.
{ (-2, 4), (-1, 3), (0, 2), (-2, 0), (1, 1)
The relation represented by the ordered pair is not a function
How to determine the relation that is a function?The given parameter is represented as
{(-2, 4), (-1, 3), (0, 2), (-2, 0), (1, 1)}
As a general rule;
For a relation to be considered a function, the following must be true:
One x value must not point to several y values
Using the above as a guide, the ordered pair in the relation are not functions
This is because one x value must not point to several y values
Hence, (d) the ordered pair is not a function
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which statistics about older workers are true?
Answer:Older workers are staying in the workforce longer.
Step-by-step explanation: I had the same question as you it should be right.
Below, the two-way table is given for a class
of students.
Sophomore
Male
Female
Total
Freshmen
4
3
6
4
Juniors
2
6
Seniors Total
2
3
If a female student is selected at random, find the
probability that the student is a senior.
P(Senior | Female ) = [ ? ]%
Round to the nearest whole number.
Answer:
19%
Step-by-step explanation:
You want the probability a student is a senior, given that they are female.
TableThe table indicates that 3 +4 +6 +3 = 16 students are female. Of those, 3 are seniors. The desired probability is ...
P(senior | female) = N(senior & female)/N(senior) = 3/16 = 0.1875
The probability that a female student is a senior is about 19%.
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David works as a salesman and earns a basic salary of Rs 16 000 per month plus 8 % commission on his sales. If his total sales were rs 55 000 during last month, find his earnings for that month.
Answer:
$20400
Step-by-step explanation:
8 percent *55000 =
(8:100)*55000 =
(8*55000):100 =
440000:100 = $4400
16000+4400 =$20400