The equation of the regression line is y = 0.648x + 0.708
The y-intercept of the regression line is approximately 0.708.
To find the equation of the regression line, we will use the given data points for job performance (x) and attitude (y).
Let's calculate the mean of x and y using the formula:
Mean (x) = (2 + 6 + 10 + 4 + 8 + 10 + 4 + 8 + 7 + 8) / 10 = 7
Mean (y) = (6 + 7 + 10 + 2 + 7 + 8 + 2 + 6 + 4 + 2) / 10 = 5.4
To find the covariance between x and y, we multiply the deviations of x and y for each data point and sum them up:
Sum of (Deviation of x * Deviation of y)
= (-5 * 0.6) + (-1 * 1.6) + (3 * 4.6) + (-3 * -3.4) + (1 * 1.6) + (3 * 2.6) + (-3 * -3.4) + (1 * 0.6) + (0 * -1.4) + (1 * -3.4) = 48.6
To find the sum of squared deviations of x, we square each deviation of x and sum them up:
Sum of (Deviation of x)² = (-5)² + (-1)² + (3)² + (-3)² + (1)² + (3)² + (-3)² + (1)² + (0)² + (1)² = 75
The slope of the regression line can be calculated using the formula:
m = Sum of (Deviation of x * Deviation of y) / Sum of (Deviation of x)²
m = 48.6 / 75 = 0.648
The y-intercept (b) can be calculated using the formula:
b = Mean (y) - (m * Mean (x))
b = 5.4 - (0.648 * 7) = 0.708
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If a football field is 100 yards long and 54 yard wide and what is the area in perimeter of that football filed
Answer:
5400
Step-by-step explanation:
you would measure the length and width. Multiply the length by the width to get the area, and add twice the length to twice the width to get the perimeter
brianna worked 48 hours at $8 a hour. Taxes were 20%. How much money was left?
brianna worked 48 hours at $8 a hour. Taxes were 20%. How much money was left?
step 1
Multiply 48 by $8
48(8)=$384
Multiply by 20%
384(0.20)=$76.8
Subtract $76.8 from the total
so
$384-$76.8=$307.20
therefore
the answer is
$307.20Pls answer , brainliest to the person who answers first .
Add/Subtract like terms
Answer:
2x^2-6x-5
Hope this helped :)
What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 words per minute?
Complete Question
The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per minute (wpm) and a standard deviation of 10 wpm.
What is the probability that a random sample of 12 second grade students from the city in a mean reading rate of more than 96 words per minute?
Answer:
\(P(\=x >96 )=0.01884\)
Step-by-step explanation:
From the question we are told that:
Sample size \(n=12\)
Sample mean \(\=x =90\)
Standard Deviation \(\sigma=10\)
Generally
\(\sigma_x=\frac{\sigma}{\sqrt{10}}\)
\(\sigma_x=\frac{10}{\sqrt{12}}\)
\(\sigma_x=2.887\)
Generally the equation for P(\=x >96 ) is mathematically given by
\(P(\=x >96 )=P(Z>\frac{\=x-\mu_x}{\sigma_x})\)
\(P(\=x >96 )=P*(Z>\frac{90-96}{2.887})\)
\(P(\=x >96 )=1-P(Z<2.08)\)
\(P(\=x >96 )=1-0.98116\)
\(P(\=x >96 )=0.01884\)
you will get 30 points if you solve this
Answer:
41
Step-by-step explanation:
5y+x
Evaluate the expression
Let x=6 and y=7
5*7 +6
Multiply first
35 +6
Then add
41
Answer:
it 41
Step-by-step explanation:5(7)+6=41
6. Which of the following is equivalent to (2x + 2)(3x+1)
(1) 6x² +2
(3) 6x² +8x+2
(2) 5x2 + 8x+3
(4) 16x ^3
Answer:
6x2+8x+2
this is the answer
Se desean plantar 361 plantas de limón, en un terreno cuadrado, de manera que en cada fila queden a un metro de distancia.
Respuesta:
19
Explicación paso a paso:
Si se van a plantar 361 limoneros en un campo cuadrado;
Entonces, el número de plantas en cada fila debe ser el mismo por columna;
Sea el número de plantas por hilera = x
Número total de plantas = x²
361 = x²
Saca la raíz cuadrada de ambos lados
√361 = √x²
19 = x
Número de plantas por hilera = 19
Contrast the following terms: a. stored attribute; derived attribute: b. minimum cardinality; maximum cardinality c. entity type- relationship type d. strong entity type; weak entity type e. degree; cardinality f. required attribute; optional attribute g. composite attribute; multivalued attribute h. ternary relationship; three binary relationships 2-4. Give four reasons why many system designers believe that data modeling is important and arguably the most important part of the systems development process. 2-5. Give four reasons why a business rules approach is advocated as a new paradigm for specifying information systems requirements
a.Stored attribute b.Minimum cardinality c. entity type- relationship type d. strong entity type weak entity type e. degree cardinality f. required attribute optional attribute g. composite attribute multivalued attribute h. ternary relationship has a strict contrast .
a. Stored attribute represents a characteristic or property of an entity that is directly stored in a database. It can be easily accessed and retrieved. On the other hand, a derived attribute is not directly stored but is calculated or derived from other attributes. It is derived using formulas, calculations, or rules based on the stored attributes.
b. Minimum cardinality specifies the minimum number of occurrences an entity can have in a relationship. For example, a minimum cardinality of 1 means that an entity must have at least one occurrence in the relationship. Maximum cardinality, on the other hand, defines the maximum number of occurrences an entity can have in a relationship. It sets an upper limit on the number of associations an entity can have.
c. An entity type represents a distinct object in the real world, such as a customer, employee, or product. It has its own attributes and may participate in relationships with other entity types. On the other hand, a relationship type represents an association or connection between two or more entity types. It describes how entities are related or connected to each other.
d. A strong entity type exists independently and has its own primary key. It can be uniquely identified on its own without depending on any other entity types. A weak entity type, however, depends on a strong entity type for its existence. It does not have its own primary key and relies on a foreign key relationship with a strong entity type.
e. Degree refers to the number of entity types participating in a relationship. It represents the number of entity types connected by the relationship. Cardinality, on the other hand, describes the number of occurrences or instances of one entity type that can be associated with another entity type in a relationship. It specifies how many entities can participate in the relationship.
f. Required attributes are attributes that must have a value and cannot be left empty or null. They are necessary for the completeness and integrity of the data. Optional attributes, on the other hand, are attributes that may or may not have a value. They are not mandatory and can be left empty.
g. A composite attribute is an attribute that can be further divided into sub-attributes. It is composed of multiple components or parts, representing a hierarchical structure. On the other hand, a multivalued attribute can have multiple values for a single occurrence of an entity. It allows an entity to have multiple instances or occurrences of the attribute.
h. A ternary relationship involves three
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Which of the following number is odd? *
A. 68,458
B. 92,162
C.28,952
D. 28,923
Answer:
D. 28,923
Step-by-step explanation:
We are given four numbers and are asked to find out which number is odd.
An odd number is a number that cannot be split evenly, if it is split, it will end up in either a fraction or a decimal.
Even numbers are the opposite, so which would be the answer?
This would be D. 28,923. 28,923 divided by 2 gives you a decimal. Which is 14461.5, all the other choices give you whole numbers.
For the following the equation f(A,B,C,D)=(A+B+D
′
)(A
′
+C)(C+D) 1. Find the expansion for the function 2. Find the minterms SOP with K-map 5.16 Plot the following function on a Karnaugh map (K-map) and find the minimum sum of products for the function f(A,B,C)=∑m(2,3,5,7) 5.17 Plot the following function on a Karnaugh map (K-map) and find the minimum Sum of products for the function F(A,B,C,D)=A
′
B
′
+CD
′
+ABC+A
′
B
′
CD
′
+ABCD
We can group the minterms to obtain the minimum sum of products (SOP):
F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD
Expansion of the function f(A,B,C,D):
f(A,B,C,D) = (A+B+D')(A'C)(C+D)
= A'A'C + A'CC' + BA'C + BC + D'A'C + D'CC' + BD'(A'C) + BD'(C+D)
= 0 + 0 + BA'C + BC + 0 + 0 + BD'A'C + BD'C + BD'D
= BA'C + BC + BD'A'C + BD'C + BD'D
Minterms SOP for the function with K-map 5.16:
The truth table for the given function is:
A B C F
0 0 0 0
0 0 1 1
0 1 0 1
0 1 1 0
1 0 0 1
1 0 1 0
1 1 0 0
1 1 1 1
The K-map for this function is:
BC
A 00 01 11 10
0 | 0 1 0 1
1 | 1 0 0 1
We can group the minterms to obtain the minimum sum of products (SOP):
F(A,B,C) = A'B' + A'C + BC
Karnaugh map and minimum sum of products for the function F(A,B,C,D)=A'B'+CD'+ABC+A'B'CD'+ABCD:
The truth table for the given function is:
A B C D F
0 0 0 0 0
0 0 0 1 1
0 0 1 0 0
0 0 1 1 0
0 1 0 0 1
0 1 0 1 0
0 1 1 0 1
0 1 1 1 1
1 0 0 0 0
1 0 0 1 0
1 0 1 0 0
1 0 1 1 0
1 1 0 0 1
1 1 0 1 1
1 1 1 0 1
1 1 1 1 1
The K-map for this function is:
CD
AB 00 01 11 10
00 | 0 1 0 0
01 | 1 0 0 1
11 | 1 1 1 1
10 | 0 0 1 0
We can group the minterms to obtain the minimum sum of products (SOP):
F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD
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____ inches of water will cause tires to lose traction and make them slide.
The blank in the statement refers to a specific number and is dependent on various factors such as tire type, vehicle weight, and road surface conditions.
However, in general, hydroplaning, which occurs when a layer of water prevents direct contact between the tire and the road surface, can occur with as little as 0.1 inch of standing water on the road.
what is number?
A number is a mathematical concept used to count, measure, and label. It can be used to represent quantity, order, position, and more. Numbers can be positive, negative, or zero, and they can be whole or fractional. The most commonly used types of numbers are integers, rational numbers, real numbers, and complex numbers.
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Poles are placed 60 m apart along a road 8.4 km how many poles were needed?
Answer:
140 poles
Step-by-step explanation:
1. Convert to the same unit. Either meters to kilometers or kilometers to meters, so you can complete the computation.
60 m = 0.06 km (divide by 1,000) - see image #12. Divide 0.06 by 8.4 (8.4/0.06 = 140).
3. 140 poles can be placed on the 8.4 km road when separated by 60 m or 0.06 km.
what does 12+ 1234=
in decimals form
12+1234=
Answer:
1.246
Step-by-step explanation:
12+1234 = 1.246
3 decimal places to the left.
Hope it helps. Let me know.
double u, then divide 6 by the result
Answer:
wat 12?
Step-by-step explanation:
Answer:
wat 12????????????????????????
What is the equation for calculating the area of a triangle?
(A)A = base · height
(B)A = base · height
(C)A = pi · height
(D)A = length · width
Answer:
the answer is B
Step-by-step explanation:
coach P is deciding which job he would like to take. Job A will pay him time bonus of $10,000 plus $500 per day. Job B will pay him a one time bonus of $17,000 plus $300 per day. How many days would Coach P have to work for the two job offers to pay the same?
Answer:
35 days
500x35=17500
17500+10000=27500
300x35=10500
10500+17000=27500
i need help on the multi choice answer
Two dice are rolled. Find the probability of the following event. The first die is 6 or the sum is 8. The probability of the event "the first die is 6 or the sum is 8" is (Type an integer or a simplified fraction.)
To find the probability of the event "the first die is 6 or the sum is 8," we need to count the number of outcomes that satisfy this event and divide it by the total number of possible outcomes.
To find the probability of the event "the first die is 6 or the sum is 8," we need to consider the total possible outcomes when rolling two dice and the favorable outcomes for this event.
Total possible outcomes: 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.
Favorable outcomes:
1. First die is 6: There are 6 possible outcomes (6,1), (6,2), (6,3), (6,4), (6,5), and (6,6).
2. Sum is 8: There are 5 possible outcomes (2,6), (3,5), (4,4), (5,3), and (6,2).
However, (6,2) is counted twice, so we should subtract 1 from the total favorable outcomes: 6 + 5 - 1 = 10.
Probability = Favorable outcomes / Total possible outcomes = 10/36. Simplifying the fraction gives 5/18.
So, the probability of the event "the first die is 6 or the sum is 8" is 5/18.
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Answer all sub-questions:
a) Compare and contrast the "Monte Carlo" and "Historical" simulation as tools for measuring the risk. [11 grades]
b) Why in risk analysis the right choice of the probability distribution that describes the risk factor's values it is of paramount importance? Discuss [11 grades] [11 grades]
c) Describe how statistics are used in risk management.
Monte Carlo and Historical simulation are widely used tools for risk measurement, generating random inputs based on probability distribution functions. Proper probability distributions are crucial for risk analysis, while statistics aids in risk management by obtaining probabilities and assessing results.
a) Monte Carlo and Historical simulation are the most extensively used tools for measuring risk. The significant difference between these two tools lies in their inputs. Monte Carlo simulation is based on generating random inputs based on a set of probability distribution functions. While Historical simulation, on the other hand, simulates based on the prior actual data inputs.\
b) In risk analysis, the right choice of probability distribution that explains the risk factor's values is of paramount importance as it can give rise to critical decision making and management of financial risks. Probability distributions such as the Normal distribution are used when modeling the return of an asset, or its log-returns. Normal distribution in financial modeling is essential because it best describes the distribution of price movements of liquid and high-frequency assets. Nonetheless, selecting the wrong distribution can lead to wrong decisions, which can be quite catastrophic for the organization.
c) Statistics are used in Risk Management to assist in decision-making by helping to obtain the probabilities of potential risks and assessing the results. Statistics can provide valuable insights and an objective evaluation of risks and help us quantify risks by considering the variability and uncertainty in all situations. With statistics, risks can be easily identified and properly evaluated, and it assists in making better decisions.
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Help I need to turn this in today :)
Answer:
132 cm squared
Step-by-step explanation:
6x5=30
6x5=30
6x8=48
1/2(8x3)=12
1/2(8x3)=12
Total added together is 132 cm squared
Find the missing side of the triangle and leave the answer in simplest radical form.
Answer:
x = \(\sqrt5\)
Step-by-step explanation:
Using Pythagoras theorem,
Square of longer side = Sum of square of other sides .
Therefore,
\((\sqrt{11})^2 = x^2 + (\sqrt{6})^2\\\\11 = x^2 + 6\\\\11 - 6 = x^2\\\\5 = x^2\\\\x = \sqrt 5\)
Answer:
x = √5.
Step-by-step explanation:
By Pythagoras:
x^2 = (√11)^2 - (√6)^2
x^2 = 11 - 6 = 5
x = √5.
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 90 N acts on a certain object, the acceleration of the object is 10 m/s² . If the force is changed to 81N , what will be the acceleration of the object?
Answer:
9 1/10th m/s2 :)
Step-by-step explanation:
The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...
Does anybody know how to solve and also the answer to these 2 questions?
Answer:
100 cm² , 1131 cm²
Step-by-step explanation:
(a)
the surface area (SA) of a cuboid is calculated as
SA = 2(l × w) + 2(l × h) + 2(w × h)
where l is length, w is width and h is height
here l = 7 , w = 2 , h = 4 , then
SA = 2(7 × 2) + 2(7 × 4) + 2(2 × 4)
= 2(14) + 2(28) + 2(8)
= 28 + 56 + 16
= 100 cm²
(b)
the surface area (SA) of a cone is calculated as
SA = area of base + curved surface area
= πr² + πrs ( r is the radius of the base and s the slant height )
here r = 12 and s = 18 , then
SA = π × 12² + π × 12 × 18
= 144π + 216π
= 360π
≈ 1131 cm² ( to the nearest whole number )
The solution set for -18 < 5x - 3 is _____.
A. 3 > x
B. -3 > x
C. 3 < x
D. -3 < x
Answer:
D. -3 < x
Step-by-step explanation:
-18 < 5x - 3
-18 + 3 < 5x
-15/5 < 5x/5
-3 < x
This month the local power company charges $9.12 per kilowatt-hour for electricity. Write an equation that represents the total amount a customer will pay for their usage.
Answer:
9.12 x time x kilowatt
Step-by-step explanation:
I don't understand
Answer:
b I'm sure byyyyyyyyyyyyy
Give the geometric representation of 2x+ 1= x-4 as an equation in (a) one variable (b) two variables
please help
Answer:
Step-by-step explanation:
2x+1=x-4
2x-x= -4-1
1x=-5
x=-5please help me!!! Finals today DESPERATE
For the figure 7, the measure of each angle is:
a) m ∠1=131°
b) m ∠2=49°
c) m ∠3=92°
d) m ∠4=88°
e) m ∠5=92°
f) m ∠6=88°
g) m ∠8=49°
h) m∠9=92°
i) m ∠10=88°
j) m ∠11=131°
k) m ∠12=49°
l) m ∠13=131°
m) m ∠14=49°
n) m ∠15=92°
For the figure 8,
a) m ∠1=12°
b) m ∠3=105°
c) m ∠4=12°
d) m ∠5= 63°
e) m ∠6=105°
f) m∠7=105°
g) m ∠8=105°
h) m ∠11=12°
i) m ∠12=168°
j) m ∠13=12°
k) m ∠14=168°
What is meant by an angle?An angle in Euclidean geometry is the figure produced by two rays, called the sides of the angle, that have a common termination, called the vertex of the angle. Angles formed by two rays lie in the plane containing the rays. Angles are also generated by the intersection of two planes. These are referred to as dihedral angles. Two intersecting curves can also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection.
7) From the figure,
m ∠7=131°
m ∠7=m ∠1
m ∠1=131°
m ∠1+m ∠7+m ∠2+m ∠8=360°
131°+131°+ m ∠2+m ∠8=360°
m ∠2+m ∠8=360°-262°
m ∠2+m ∠8=98°
m ∠2=m ∠8
2m ∠2=98°
m ∠2=49°
m ∠8=49°
And also given that,
m ∠16= 88°
m ∠10=88°
m ∠10+m ∠16+m ∠9+m ∠15=360°
m ∠9+m ∠15=360°-176°
=184°
m ∠9=92°
m ∠15= 92°
m ∠11=m ∠7
m ∠11=131°
m ∠11=m ∠13
m ∠12= m ∠14=m ∠2= m ∠8=49°
m ∠10= m ∠16= m ∠6=m ∠4=88°
m ∠3=m ∠5= m∠9=m ∠15=92°
a) m ∠1=131°
b) m ∠2=49°
c) m ∠3=92°
d) m ∠4=88°
e) m ∠5=92°
f) m ∠6=88°
g) m ∠8=49°
h) m∠9=92°
i) m ∠10=88°
j) m ∠11=131°
k) m ∠12=49°
l) m ∠13=131°
m) m ∠14=49°
n) m ∠15=92°
8) From the figure,
m ∠2=63°, m ∠9=105°
m ∠2=m ∠5= 63°
m ∠6+ m ∠5+m ∠4=180°
m ∠9= m∠7=m ∠6=m ∠3=105°
m ∠4=180°-63°-105°
m ∠4=12°
m ∠4=m ∠1= m ∠13=m ∠11=12°
m ∠11+m ∠13+m ∠12+m ∠14=360°
m ∠12=m ∠14
2m ∠12=360°-24°=336°
m ∠12=168°
m ∠12=m ∠14=168°
m ∠3=m ∠10=m ∠8=105°
a) m ∠1=12°
b) m ∠3=105°
c) m ∠4=12°
d) m ∠5= 63°
e) m ∠6=105°
f) m∠7=105°
g) m ∠8=105°
h) m ∠11=12°
i) m ∠12=168°
j) m ∠13=12°
k) m ∠14=168°
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Subtract. 15/57−6/45
please help me if u can i need this really fast <33
The resulting value after the subtraction of 15/57 - 6/45 is 37/285
Subtraction:
Subtraction is an arithmetic operation that represents the operation of removing the particular objects from a collection.
It is signified by the minus sign, −.
Given,
Here we need to find the value of the subtraction of 15/57 - 6/45.
The fractions have unlike denominators.
First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(57, 45) = 855
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD.
This is basically multiplying each fraction by 1.
\(\frac{15}{57}\times\frac{15}{15}-\frac{6}{45}\times\frac{19}{19}\)
Complete the multiplication and the equation becomes
=> 225/855 - 114/855
Complete the multiplication and the equation becomes
=> 111/855
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 111 and 855 using
GCF(111,855) = 3
\(= > \frac{111 \div 3}{855 \div 3} = \frac{37}{285}\)
Therefore, resulting value is 37/285.
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An atom's mass is determined by the number of ____________ and ___________ in the atom's nucleus.
a
protons, neutrons
b
electrons , protons
c
protons, electrons
d
electrons , neutrons
Answer:
a
protons, neutrons
Step-by-step explanation:
An atom's mass is determined by the number of protons and neutrons in the atom's nucleus.