Answer:
B. A linear function with a positive slope.
Step-by-step explanation:
A correlation can be defined as a numerical measure of the relationship existing between two variables (x and y).
In Mathematics and Statistics, a group of data can either be negatively correlated, positively correlated or not correlated at all.
1. For a negative correlation: a set of values in a data increases, when the other set begins to decrease. Here, the correlation coefficient is less than zero (0).
2. For a positive correlation: a set of values in a data increases, when the other set also increases. Here, the correlation coefficient is greater than zero (0).
3. For no or zero correlation: a set of values in a data has no effect on the other set. Here, the correlation coefficient is equal to zero (0).
A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional. Thus, the graph of a linear function is a straight-line and it has a positive slope which is always constant.
From the graph, we can deduce that the scatter points lie close to a straight line with a slope that is positive.
Hence, the type of function which best models the relationship between the sales of sweaters and gloves is a linear function.
Mathematically, slope is given by the formula;
[tex] Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} [/tex]
[tex] Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point- slope form is y + 1 = (x – 8).
Answer:
B?
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Answer:
The answer is 2x + -3y = 19
Step-by-step explanation:
no idea what the guy on top is saying
Can you help me with this, please? Thanks in advance
Answer:
∠TRU is supplementary with ∠PQS as SQ║TR.
Supplementary angles add up to 180°.
m∠TRU = 180° - 82° = 98°Consider ΔRTU
∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:
m∠TRU + m∠RTU = m∠RUV98° + m∠RTU = 155°m∠RTU = 155° - 98° = 57°<TRU
180-<PQS180-8298°Sum of 2 interiors =exterior
<RTU
155-9857°Help with this question!Please
Step-by-step explanation:
The given angle is a 90° . Therefore the sum of both angles is 90° .
> 40 + x = 90
> x = 90 - 40
> x = 50
Solution 2 ;-
> 20 + x = 90
> x = 70
Factor 6x^2 + x − 2
Answer:
(2−1)(3+2)
Step-by-step explanation:
Rewrite in product form
2x(3x+2) - 1(3x+2)
(2x-1) (3x+2)
find the ratio in their simplest form 800g to 10kg
Answer:
2/25
Step-by-step explanation:
10kg is 10,000g
800g/10000g simplified is 8/100 or 2/25
Why did the farmer open a bakery?
Answer:
yes
Step-by-step explanation:
yes
Answer:
Step-by-step explanation:
Farmers usually open bakery's to sell their produce or ship them to grocery stores like Walmart, Cosco, etc. I hope this answered your question since I don't quite understand...
PLZ AWNSER I HAVE 10 MIN TO COMPLETE
Answer:
theres nothing there
Step-by-step explanation:
Answer:
There is nothing attatched sorry
What is the area of the triangle?
Answer:
144.5
Step-by-step explanation:
Area of a triangle = one half of the base length times the height
The given base length is 17 cm and the given height is 17 cm
Hence, area = [tex]\frac{17*17}{2}[/tex]
17 * 17 = 289
289 / 2 = 144.5
Area = 144.5cm²
Answer: 144.5
Step-by-step explanation:
The answer is correct because, the formula of a triangle is base times height divided by 2. Since the base and height is 17, we multiply 17 times 17. The answer for 17 times is: 289. Now we have to divide it by two. 289 divided by 2 equals: 144.5.
Hope This Helps!
While developing x-bar and R charts, the manager took 10 samples each of size 6. The average of sample means was 3.2. The average range value was 0.6. What will be the value of UCL for the R-chart?
a. 1.2
b. 1.4
c. 1.5
d. 1.7
Answer:
Option a. 1.2 is the correct answer
Step-by-step explanation:
Given the data in the question;
sample size n = 10
sub group = 6
The average of sample means x" = 3.2
Average range value R' = 0.6
the value of UCL for the R-chart = ?
To get the value of UCL for the R-chart, we say;
[tex]UCL_R[/tex] = D₄ × R'
from table of constants "Tabular values for x-bar and range charts
for size 6, the factor for control limits for range D₄ = 2.004
so we substitute
[tex]UCL_R[/tex] = 2.004 × 0.6
[tex]UCL_R[/tex] = 1.2024 ≈ 1.2
Hence, Option a. 1.2 is the correct answer.
Determine whether the data set represents a direct variation, an inverse variation, or neither?
A.direct variation
B. Inverse variation
C. Neither
The data set represents an inverse variation. When x increases, y decreases, and vice versa. This is the hallmark of an inverse variation. So, the correct answer is B: Inverse variation.
What do you mean by Inverse Variation?Inverse variation is a mathematical relationship between two variables where an increase in one variable results in a decrease in the other and vice versa. In other words, the product of the two variables remains constant as the values of the variables change. This relationship is represented by the equation y = k/x, where y and x are the two variables, and k is a constant.
For example, consider the situation where the speed of a car is inversely proportional to the time it takes to cover a certain distance. If a car covers a distance of 60 miles in 1 hour, it would cover a distance of 30 miles in 2 hours, because the speed has halved. This relationship can be represented mathematically as s = k/t, where s is the speed, t is the time, and k is a constant.
To know more about equation visit:
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what expressions are equivalent to 1/5•1/5•1/5•1/5
Answer:
Step-by-step explanation: Because equivalent expressions is when you Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
Why did the physiocrats oppose mercantilism?
The physiocrats wanted a nation to import more goods than it exported.
The physiocrats thought that nations should accumulate bronze, not gold and silver.
Mercantilism worked for the common good.
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.
Answer:
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.
Justin bought 4 dozen
cupcakes for a party. How
many cupcakes did he buy?
Answer:
48
Step-by-step explanation:
One dozen is 12.
12 x 4 = 48
Name the special segment.
Answer:
Perpendicular bisector
Step-by-step explanation:
Have a great day!!
Complete the table to find the MAD of the data set.
Answer:
15
Step-by-step explanation:
3 2/3 - 1 1/4 what’s the answer
Answer:
95/12 as an improper fraction.
Answer:
[tex]\frac{29}{12}[/tex] or 2 [tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Hi help me out thank youu love
Answer:
636
Step-by-step explanation:
SA=2LW+2LH+2WH
SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636
Answer:
The answer is 636
Step-by-step explanation:
Brainliest maybe?
:)
9k - 18 = - 6 Can you help with this Plzzzz!!!
Answer:
Step-by-step explanation:
im assuming were solving for k so we wanna get it by itself
9k - 18 = -6
start by adding 18 to both sides
9k = 12
then divide both sides by 9
k = 12/9
hope this helps <3
Answer:
the answer is
k= 4/3
Step-by-step explanation:
9k-18=-6
9k=-6+18
9k=12
k= 12/9
simplify it which gives k=4/3 or in decimal form 1.333
Please answer number 9 I’ll give brainliest
Answer:
2/3 or 66.7%
Step-by-step explanation:
there are 6 possible options. 2 of them are red. 6 options minus 2 = 4=4/3=2/3
Please help me answer this ASAP!
Answer: z=25 x=114
Step-by-step explanation:
The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2, then determine the diameter of the circle that contains AH. (section 10.6 question 5 in geometry math nation)
Answer:
Diameter of the circle = 7
Step-by-step explanation:
The exact question is as follows :
Given - The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2
To find - determine the diameter of the circle that contains AH.
Proof -
Given that,
AH = 6
RC = 2
Let us denote,
CB = x
So,
RB is the radius of the circle. It gives the value x + 2
As AH = 6
⇒AC = CH = 3
Also,
BH is the radius,
So, BH = x + 2
Now,
In triangle CBH,
BH² = CB² + HC²
⇒(x+2)² = x² + 3²
⇒x²+2² + 4x = x² + 9
⇒4 + 4x = 9
⇒4x = 9 - 4
⇒4x = 5
⇒x = 5÷4
⇒x = 1.5
So,
Radius = x + 2
= 1.5 + 2 = 3.5
⇒Radius = 3.5
As we know,
Diameter = 2×Radius
= 2×3.5
= 7
⇒Diameter of the circle = 7
The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the diameter of the circle is 6.5 units.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The prom is in need of a floral archway, such as the one below.
Segment RC is the perpendicular bisector of segment AH.
If AH = 6 and RC = 2.
Let CB be x.
Then the radius RB will be x + 2
BH = x + 2
Then by the Pythagoras theorem, we have
BH² = CB² + HC²
⇒ (x + 2)² = x² + 3²
⇒x² + 4 +4x = x² + 9
⇒ 4x = 5
⇒ x = 1.25
The radius will be
r = x + 2
r = 1.25 + 2
r = 3.25
Then the diameter will be
Diameter = 2 × r
Diameter = 2 × 3.25
Diameter = 6.5
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
Need help fast.
A pool is shaped like a rectangle with a length of 4 times its width w. What is an
expression for the distance between opposite corners of the pool?
No links or files!!!
w represents width
4w represents length
d represents diagonal
w2 + (4w)2 = d2
w2 + 16w2 = d2
17w2 = d2
±w√17 = d
The diagonal is the width times √17.
Help meeeeeee ASAP helppppppp
Answer:
45 × 1/3 = 15
Step-by-step explanation:
15 / (1/3) = (3×15)/1 = 45
so, from 15 / (1/3) = 45
we can then adapt the equation by multiplying both sides by 1/3
15 = 45 × (1/3)
Determine if events A and B are independent.
P(A) = 9/20 P(B) = 7/10 P(A and B) = 63/200
A) Dependent
B) Independent
Answer:
B) Independent
Step-by-step explanation:
Independent events:
Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A) \times P(B)[/tex]
In this question:
[tex]P(A \cap B) = \frac{63}{200}[/tex]
[tex]P(A) \times P(B) = \frac{9}{20}*\frac{7}{10} = \frac{9*7}{20*10} = \frac{63}{200}[/tex]
Since [tex]P(A \cap B) = P(A) \times P(B)[/tex], these events are independent.
in Carla's backyard there are four trees whose measurements she records as 13 feet 7 feet 9 feet and 6 feet determine the mean height of trees in Carla's back yard
Answer:
ok sure
Step-by-step explanation:
So 'mean' basically just means average, and to get the average you must first add together all of the measurements. Then you have to divide that number by how many measurements you have, and in this case that would be 4.
13 + 7 + 9 + 6 = 35
35 ÷ 4 = 8.75
So the answer to this question is 8.75
(15) A – 2 2/9 = 1 1/2
16) C – 6.0005 = 2.5
17) B + 55 = 83
Answer:
A= 67/18
C= 8.5005
B= 28
Step-by-step explanation:
What is the area of the trapezoid shown below? 5 units 6 units 9 units
Answer:
N/A
Step-by-step explanation:
Please be more specific, which is base and which is height
Which of these describes a unique polygon?
A quadrilateral with 3 sides lengths 5 inches long
A triangle with a side length of 6 inches, 7 inches, and 8 inches
A triangle with angles 30, 60, and 90
A triangle with side lengths 5 cm and 4 cm and a 70 angle
y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′′(0) = 0
Answer:
y(t) = 3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]
Step-by-step explanation:
To find - y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′(0) = 0
Formula used -
L{δ(t − c)} = [tex]e^{-cs}[/tex]
L{f''(t) = s²F(s) - sf(0) - f'(0)
L{f'(t) = sF(s) - f(0)
Solution -
By Applying Laplace transform, we get
L{y″+ 5y′ + 6y} = L{3δ(t − 2) − 4δ(t −5)}
⇒L{y''} + 5L{y'} + 6L{y} = 3L{δ(t − 2)} − 4L{δ(t −5)}
⇒s²Y(s) - sy(0) - y'(0) + 5[sY(s) - y(0)] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒s²Y(s) - 0 - 0 + 5[sY(s) - 0] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒s²Y(s) + 5sY(s) + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s² + 5s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s² + 3s + 2s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[s(s + 3) + 2(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒[(s + 2)(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]
⇒Y(s) = [tex]\frac{3e^{-2s} }{(s + 2)(s + 3)} - \frac{4e^{-5s} }{(s + 2)(s + 3)}[/tex]
Now,
Let
[tex]\frac{1}{(s+2)(s+3)} = \frac{A}{s+2} + \frac{B}{s+3} \\\frac{1}{(s+2)(s+3)} = \frac{A(s + 3) + B(s+2)}{(s+2)(s+3)}\\1 = As + 3A + Bs + 2B\\1 = (A+B)s + (3A + 2B)[/tex]
By Comparing, we get
A + B = 0 and 3A + 2B = 1
⇒A = -B
and
3(-B) + 2B = 1
⇒-B = 1
⇒B = -1
So,
A = 1
∴ we get
[tex]\frac{1}{(s+2)(s+3)} = \frac{1}{s+2} + \frac{-1}{s+3}[/tex]
So,
Y(s) = [tex]3e^{-2s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}] - 4e^{-5s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}][/tex]
⇒Y(s) = [tex]3e^{-2s} \frac{1}{(s + 2)} - 3e^{-2s} \frac{1}{(s + 3)} - 4e^{-5s}\frac{1}{(s + 2)} + 4e^{-5s}\frac{1}{(s + 3)}[/tex]
By applying inverse Laplace , we get
y(t) = 3u₂(t) [ [tex]e^{-2(t-2)} - e^{-5(t - 2)}[/tex] ] - 4u₅(t) [ [tex]e^{-2(t-5)} - e^{-5(t - 5)}[/tex] ]
⇒y(t) = 3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]
It is the required solution.
Find the value of x. Round the length to the nearest tenth of a unit.
Please help!
Answer:
take 40 degree as reference angle
using tan rule
tan 40 =p/b
0.83=900/x
0.83x=900
x=900/0.83
x=1084.33
x=1084.3(after rounding off to the nearest tenth)
Step-by-step explanation: