Answer:
The data set A has the weakest association with its trend line.
Step-by-step explanation:
Association implies a relationship between two variables which are statistically dependent.
It does not specifies the type of relationship.
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).
So, correlation specifies the type of relationship between two variables, i.e. linear.
From the provided data:
Data A:
Correlation coefficient, r = 0.79.
Data B:
Correlation coefficient, r = 0.95.
Data C:
Correlation coefficient, r = 0.99.
Data D:
Correlation coefficient, r = 0.99.
On comparing the correlation values, it is clear that the correlation for data set A is the lowest among all the four.
Thus, the data set A has the weakest association with its trend line.
Answer:
BTW the answer is data set A
Step-by-step explanation:
The numbers in data set A are very spread apart unlike the other data sets. Data set A is obviously the right choice.
Work out the equation of a line when the gradient is 1/2 and it passes through the point (4,-2)
Answer:
The equation of the line is
[tex]y = \frac{1}{2} x - 4[/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where m is the gradient
c is the y intercept
Gradient = 1/2
Equation of the line using point ( 4 , -2) is
[tex]y + 2 = \frac{1}{2} (x - 4) \\ y + 2 = \frac{1}{2} x - 2 \\ y = \frac{1}{2} x - 2 - 2 \\ y = \frac{1}{2} x - 4[/tex]
Hope this helps you
If the function m(x) has the point (5, 2) on its graph name a point that would be on the function m(5x). (10, 2) (5, 10) (25, 2) (1, 2)
Answer:
(1, 2)
Step-by-step explanation:
The function m(x) has the point (5, 2) on its graph is equivalent to say that m(x) evaluated at x = 5 gives 2 as result, that is, m(5) = 2.
f(kx) transforms point (x, y) into (x/k, y). Therefore: m(5x) transforms point (5, 2) into (5/5, 2) or (1, 2).
Match the graph to one of the exponential functions
Answer:
shoulf be the first one: f(x) (½)^x-3
The first jumbo jet was the Boeing 747, which is 70.5 meters long. The wingspan of the 747 is 60 meters. A model 747 has a wingspan of 80 centimeters. What should the length of the model be? tell your work.
Answer: The correct answer is 94 cm.
Step-by-step explanation:
wingspan length
60 meters 70.5 m
----------------- = ----------------
80 cm x
Cross multiply
(60 m)x = (70.5 m)(80 cm)
Solve for x by dividing both sides of equation by 60 m:
x = (70.5 m)(80 cm) / (60 m) = 94 cm
The length of the model is 94 cm.
Answer:
94 cm
Step-by-step explanation:
Write and solve an equation of ratios:
70.5 m 60 m
----------- = -----------
L 80 cm
Cross multiplying, we get:
(70.5 m)(80 cm) = (60 m)L
(70.5 m)(80 cm)
Then the model length, L, should be L = -------------------------
60 m
or
L = 94 cm
Write the expression that is represented by the phrase. The product of a number plus 7 and 3.
10 ft
8 ft
D
Hint: Circumference
of a circle: C = rid
Find the perimeter of this figure to the
nearest hundredth. Use 3.14 to
approximate n.
P = [?] ft
Notice that only half of the circle is included in the figure!
Enter
Answer:
The perimeter of given figure = 56.56 ft
Step-by-step explanation:
Step(i):-
From diagram
The length of the rectangle = 10 ft
The width of the rectangle = 8 ft
Perimeter of the rectangle
= 2 ( l+w)
= 2 ( 10 + 8)
= 2 × 18
= 36
Step(ii):-
The semi circle is included in the given diagram
Now we will find the perimeter of semicircle
We know that
perimeter of the circle
p = 2πr + d
perimeter of the semicircle
[tex]P = \frac{1}{2} 2\pi r + d[/tex]
P = πr + 2 r (∵ d = 2 r)
Step(iii):-
From diagram the diameter of semicircle is equal to the width of the rectangle
d = 8
d = 2 r = 8
The radius of the circle 'r' = 4
perimeter of the semicircle
P = πr + 2 r
P = 3.14 ( 4) + 8
P= 20.56
Conclusion:-
The perimeter of given figure
= perimeter of rectangle + perimeter of semicircle
= 36 + 20.56
=56.56 ft
How can this same solution be written using set builder notation? {x | x > }?
Corrected Question
The solution to an inequality is represented by the number line. How can this same solution be written using set-builder notation? {x | x > }
Answer:
[tex]\{x | x >3 \}[/tex]
Step-by-step explanation:
Given an inequality whose solution is represented by the number line attached below.
We observe the following from the number line
There is an open circle at 3, therefore the solution set does not include 3. (We make use of > or < in cases like that)
The arrow is pointed towards the right. All points to the right of 3 are greater than 3, therefore:
The solution in the number line can be written using set-builder notation as:
[tex]\{x | x >3 \}[/tex]
An EASY QUESTION because I’m dumb sometimes 30 POINTS!( 05.05 LC)
Anabelle collected data on the favorite superhero of the students in her class. The table shows the relative frequencies of rows for the data collecte
Favorite Superhero
Superman Spiderman Batman Wonder Woman
0.06 0.21 0.25 0.11
0.63
Boys
Girls
0.07
0.02
0.03
0.25
0.37
Column totals 0.14
0.23
0.28
0.36
1
Based on the data which superhero is most likely to be the favorite?
Superman
Spiderman
Batman
Wonder Woman
Answer:
Wonder Woman
Step-by-step explanation:
she has the highest total
Answer:
The correct answer is Wonder woman
Step-by-step explanation:
Its because wonder woman has the highest total. Its that simple.
Hope this helps! bye
Identify the surface area of the composite figure in terms of π.
Answer:
78π m²
Step-by-step explanation:
The lateral area of the cylinder is ...
LA = 2πrh
LA = 2π(3 m)(8 m) = 48π m²
The lateral area of one cone is ...
LA = πrh . . . . where h is the slant height
LA = π(3 m)(5 m) = 15π m²
Then the total surface area of the figure is the area of the two cones plus that of the cylinder:
S = 2(cone area) + cylinder area
S = 2(15π m²) +(48π m²)
S = 78π m²
Simplify the expression –3(x + 3)² – 3 + 3x. What is the simplified expression in standard form?
Answer:
-3x^2-15x-30
Step-by-step explanation:
Follow order of operations
Answer:
-3x^2 -15x -30
Step-by-step explanation:
First you would square the parenthesis, and get x^2 +6x+9 inside the parenthesis, then you would multiply it by the -3 and get -3x^2 -18x-27-3+3x then you combine like terms to get the answer.
I will give you all ⭐⭐⭐⭐⭐ Try to zoom in or flip your phone to see better.
Answer:
The correct option is:
x+y = 2
Step-by-step explanation:
Street 1 is given.
If Street 2 is parallel to Street 1, then they will have the same slope.
Find slope of Street 1:
Take any 2 points on Street 1. Consider (-2,3) and (1,0)
Slope is given by:
m = (y₂ - y₁) / (x₂ - x₁)
m = 0-3 / 1-(-2)
m = -3/3
m = -1
For Street 2:
y = mx + c
y = -1x +c
As it passes through (-2,4), substitute the point in the above equation:
4 = -1(-2) + c
c = 2
So substitute m = -1 and c =2 into general form of equation:
y = mx + c
y = -x + 2
or
x+y = 2
The numbers 1 through 10 are put in one bag, and the numbers 5 through 14 are put in another bag. When you pick one number from each bag, what is the probability you get the same number? please answer as an unsimplified fraction.
Answer:
36/100
Step-by-step explanation:
this is because you find the overlapping ranges of each bag which is 5 - 10 on the first bag and 5 - 10 on the second bag. both bags have 10 total numbers, so 6/10 * 6/10 because there are six numbers on each bag and 10 overall choices, so we multiply these two because its an and statement which gives us 36/100.
The probability that we get the same number is 9/25.
What is probability?It is simply likeliness of happening an event. The probability of an event lies between 0 to 1.
How to find the probability?Numbers in first bag=10
Numbers in second bag=10
Common numbers=5,6,7,8,9,10
Total common numbers=6
So the probability that we get the same numbers will be
= 6/10* 6/10
=36/100
=18/50
=9/25
Hence the probability that we will get the same numbers is 9/25.
Learn more about probability at https://brainly.com/question/24756209
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The table represents a linear function. What is the slope of the function?
Answer:
The slope of a linear function. The steepness of a hill is called a slope. The same goes for the steepness of a line. The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run
Step-by-step explanation:
:)
Given the figure below, find the values of x and z.
Answer:
X= 6°z= 112°Solution,
Finding the value of X,
[tex]11x + 2 = 68[/tex]
( being vertically opposite angles)
[tex]11x = 68 - 2 \\ 11x = 66 \\ x = \frac{66}{11} \\ x = 6[/tex]
Value of X is 6
Now, finding the value of z
[tex]z + 68 = 180[/tex]
(sum of angle in linear pair)
[tex]z = 180 - 68 \\ z = 112[/tex]
Value of z is 112.
Hope this helps....
Good luck on your assignment...
The sets D and J are given below.
D= {4,7,8)
J={-1,1,5,7,8)
Find the intersection of D and J.
Find the union of D and J.
What is the slope of the line that contains the points (9,-4) and (1, -5)
А 1/8
B. -1/8
C.-1
D. 1
Answer:
A. 1/8
Step-by-step explanation:
m = rise/run
m = (y2-y1)/(x2-x1)
m = (-5- - 4)/(1-9)
m = (-5+4)/(-8)
m = (-1)/(-8)
m = 1/8
Answer:
The answer is A.
Step-by-step explanation:
Given that the formula to find gradient, m, is :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Then, you have to substitute the coordinates into the formula :
[tex]let \: (9, - 4) \: be \: (x1,y1) \\ let \: (1, - 5) \: be \: (x2,y2)[/tex]
[tex]m = \frac{ - 5 - ( - 4)}{1 - 9} [/tex]
[tex]m = \frac{ - 5 + 4}{ - 8} [/tex]
[tex]m = \frac{ - 1}{ - 8} [/tex]
[tex]m = \frac{1}{8} [/tex]
Interpret the standard deviation of a set of data
Question
A food processing plant fills snack-sized bags of crackers. The mean number of crackers in each bag is 22 and the
standard deviation is 2. The factory supervisor selects one bag that contains 24 crackers.
Which of the following statements is true?
Select the correct answer below
des
The number of crackers in the supervisor's bag is 2 standard deviations to the right of the mean
ery
The number of crackers in the supervisor's bag is 2 standard deviations to the left of the mean.
The number of crackers in the supervisor's bag is i standard deviation to the right of the mean.
upport
Top
The number of crackers in the supervisor's bag is i standard deviation to the left of the mean
O
Previous
Show
Answer:
C. The number of crackers in the supervisor's bag is 1 standard deviation to the right of the mean.
Step-by-step explanation:
Data
the mean number of crackers in each bag is 22 the standard deviation is 2mean + standard deviation = 22 + 2 = 24, that is, 1 standard deviation to the right of the mean (the addition is to the right, the subtraction to the left).
Trying to find the missing segment to the triangle in the attached image.
Answer:
25
Step-by-step explanation:
The Side Splitter Theorem says that if a line intersects two sides of a triangle and is parallel to the third side of the triangle, it divides those two sides proportionally. Therefore:
6/15 = 10/?
6*? = 10*15
? = 10*15/6
? = 25
4x⁶-12x³+9 factorizar las expresiones
Answer:
(2x³ - 3)²
Step-by-step explanation:
4x⁶ - 12x³ + 9
2²x⁶ - 12x³ + 9
2²x²ˣ3 - 2 * 2x³ * 3 + 3²
2² * (x³)² - 2 * 2x³ * 3 + 3²
(2x³)² - 2 * 2x³ * 3 + 3²
(2x³ - 3)²
Hope this helped! :)
plz help, I need it asap
Answer:
see below
Step-by-step explanation:
15+2x> 31
Subtract 15 from each side
2x > 16
Divide by 2
2x/2 > 16/2
x > 8
There is an open circle at 8
The line goes to the right
Find the area of the composite figure in square mm. Round your answer to the nearest square milimeter. (Enter only a number as your answer.)
Answer:
157+364= 521 square mm
Step-by-step explanation:
Area of 1/2 circle = 1/2 pi r-squared = 1/2x10x10x3.14 = 157 square mm
Area of trapezoid = (a+b)/2xh = (20+32)/2 x 14 = 364 square mm
157+364= 521 square mm
Find the missing length indicated
Answer:
x = 25.
Step-by-step explanation:
Since the side of the triangle that is labeled as 60 units bisects the right angle of the largest triangle, we can say that the smallest triangle, medium triangle, and largest triangle are all similar.
Since the smaller length of the middle triangle corresponds to x, and the longer length of the middle triangle (144) corresponds to the longer length of the smaller triangle (60), we can set up a proportion!
[tex]\frac{x}{60} =\frac{60}{144}[/tex]
144 * x = 60 * 60
144x = 3600
2x = 50
x = 25
Hope this helps!
A bathtub is filling with water at a rate of 72 inch3/second. The density of water is 0.58 ounce/inch3. How long will it take for the tub to fill with 11,000 ounces of water? Express your answer to the correct number of significant figures. It will take seconds.
Answer:
Total time to fill the water = 263 second (Approx)
Step-by-step explanation:
Given:
Total amount of water = 11,000 ounces
Density of water = 0.58 ounce/inch³
Rate = 72 inch³/second
Find:
Total time to fill the water
Computation:
Volume = mass / density
Volume of water = 11,000/ 0.58 = 18965.5172 inch³
Total time to fill the water = Volume of water / Rate
Total time to fill the water = 18965.5172 inch³ / 72 inch³/second
Total time to fill the water = 263.409961 second
Total time to fill the water = 263 second (Approx)
How many 4-digit numbers divisible by 5, all of the digits of which are even, are there?
Answer:
2000
2200
2220
3100
Step-by-step explanation:
Answer:
There are 4
2200
2000
3100
2220
rationalise the denominator and simplify 15÷
[tex] \sqrt{3} [/tex]
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
=> [tex]\frac{15}{\sqrt{3} }[/tex]
Multiplying and dividing by [tex]\sqrt{3}[/tex]
=> [tex]\frac{15}{\sqrt{3} } *\frac{\sqrt{3} }{\sqrt{3} }[/tex]
=> [tex]\frac{15\sqrt{3} }{(\sqrt{3})^2 }[/tex]
=> [tex]\frac{15\sqrt{3} }{3}[/tex]
=> [tex]5\sqrt{3}[/tex] (A Rationalized denominator!)
Answer:
5√3
Step-by-step explanation:
To rationalize the denominator, all you have to do is multiply both the numerator and the denominator by whatever is in the denominator, if it is only a single term in the denominator. This means you multiply [tex]\frac{15}{\sqrt{3} }[/tex] [tex]* \frac{\sqrt{3}}{\sqrt{3}}[/tex] . Since √3 divided by itself is 1, this doesn't change the value of the expression. Now multiplying this we get (15√3)/3. Now we can divide 15√3 by 3 to get 5√3, which is the final answer.
The lengths of the rectangle have been measured to the nearest tenth of a metre.
Work out the following, writing down all the figures on your calculator display:
the upper bound for the perimeter of the rectangle
the lower bound for the area of the rectangle
length - 15.8m
width - 5.2m
Answer:
Perimeter (upper bound) =42.16 m
Area (lower bound)= 81.11 m2
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Since both measures were rounded to the nearest tenth, the possible numbers are:
Length (L) =15.8m ; (between 15.75 and 15.84)
Lower =15.75 ; upper = 15.84
Width (w) =5.2m (between 5.15 and 5.24)
Lower = 5.15 ; upper = 5.24
Perimeter = 2L +2w (using the upper bound values)Upper bound perimeter = 2 (15.84)+2(5.24) = 42.16 m
Area = L x w (using the lower bound values)Lower bound for the area of the rectangle = 15.75 x 5.15 = 81.11 m2
Feel free to ask for more if needed or if you did not understand something.
Suppose you have a block of gold with a mass of 100 g. The density of gold is 19.3 g/cm3. What's the volume of your block of gold? Question 8 options: A) 0.193 g/cm3 B) 193 cm3 C) 1,930 cm3 D) 5.18 cm3
Identify this angle. /_AME
Answer:
The answer is option B.Angle AME is 180° hence a straight angle.
Hope this helps you.
Answer:
straight
Step-by-step explanation:
<AME is a straight angle because:
in a straight angle, there are two rays that connect to form a sort of line. Point M is the endpoint that connects them together.a straight angle can also be formed by adding two right angles, and you can see that <AMC and <EMC are right angles. a straight angle forms 180 degrees, which forms a straight line.I hope this helped you, and have a great rest of your day!
When graphed, which parabola opens downward?
Answer:
A
Step-by-step explanation:
Edge 2020
Graph A represents the function f(x) = root(3, x). Graph B and graph C transformations of graph A. The function represented by graph B is g(x) = The function represented by graph C is h(x)=
Answer:
g(x) = root(3, x-1)h(x) = root(3, x) -1Step-by-step explanation:
The graph of f(x) is translated (right, up) = (h, k) to ...
g(x) = f(x -h) +k
___
Graph B is translated right 1 unit, so its function is ...
g(x) = f(x -1) = root(3, x-1)
__
Graph C is translated down 1 unit, so its function is ...
h(x) = f(x) -1 = root(3, x) -1
The following function is transferred to the new location on the graph. For a particular variable, the value of the function is different.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
Given function are;
[tex]\rm g(x)= root(3,x-1)\\\\ h(x)= root(3,x)-1\\\\[/tex]
From the graph, it is observed that;]
Graph A
[tex]\rm g(x)=f(x-h)+k[/tex]
Graph B
[tex]\rm g(x)= f(x-1)=root(3x-1)[/tex]
Graph C
[tex]\rm H(x)(= f(x)-1 = root (3,x)-1[/tex]
Hence, the following function is transferred to the new location on the graph.
To learn more about the function, refer to the link;
https://brainly.com/question/13395697
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