Answer: it is C I can tell you that
Step-by-step explanation:
Identify the equivalent expressions of 4(2x + x – 3) – 3x + 3.
Answer:
9x - 9
Step-by-step explanation:
4(2x + x - 3) - 3x + 3
Simplify the expression, combine like terms in the parenthesis,
4(3x - 3) - 3x + 3
Distribute, multiply every term inside the parenthesis by the number outside of it;
(4)(3x) + (4)(-3) - 3x + 3
Simplify,
12x - 12 - 3x + 3
Combine like terms,
12x - 12 - 3x + 3
9x - 12 + 3
9x - 9
there are 5 red marbles, 6 yellow marbles, and 7 blue marbles. You pick exactly three marbles without replacement, one at a time. What is the probability that the first two marbles will be red and the third one will be blue?
The probability that the first two marbles will be red and the third one will be blue is 35/2448
The probability of picking a red marble on the first draw is 5/18, and given that the first marble was red, the probability of picking another red marble on the second draw is 4/17 (since there are now only 4 red marbles left out of 17 total marbles).
Finally, given that the first two marbles were red, the probability of picking a blue marble on the third draw is 7/16 (since there are now 7 blue marbles left out of 16 total marbles).
To find the overall probability of this sequence of events, we multiply the probabilities of each individual event.
Therefore, the probability of picking two red marbles and one blue marble in this specific order is:
(5/18) × (4/17)× (7/16)
= 0.0285
Therefore, the probability of this specific sequence of events is 0.0285
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3. In a survey of 200 people about a bus company, 77 said they were satisfied with the bus
company's performance. What percent of the people were satisfied with the bus company's
performance?
O 23%
38.5%
061.5%
077%
The percentage of the people that were satisfied with the bus company's performance is: B. 38.5%
Given the following data:
Population = 200 peopleSatisfied people = 77 peopleTo determine the percentage of the people that were satisfied with the bus company's performance:
In this exercise, you're required to find the number of the people that were satisfied with the bus company's performance as a percentage of the total population in this survey.
Thus, we would use this formula:
\(Percentage = \frac{Satisfied\;people}{Population} \times 100\)
Substituting the given parameters into the formula, we have;
\(Percentage = \frac{77}{200} \times 100\\\\Percentage = \frac{77}{2}\)
Percentage = 38.5%
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determine if the given system is consistent. do not completely solve the system. question content area bottom part 1 choose the correct answer below. a. the system is inconsistent because the system cannot be reduced to a triangular form. b. the system is consistent because the system can be reduced to a triangular form that indicates that no solutions exist. c. the system is inconsistent because the system can be reduced to a triangular form that contains a contradiction. d. the system is consistent because the system can be reduced to a triangular form that indicates that a solution exists.
The given system is consistent. The correct option is D. The system can be reduced to a triangular form that indicates that a solution exists.
What is a consistent system?A system of equations that has at least one solution is said to be consistent. If there is no solution to a system of equations, it is said to be inconsistent.A consistent system of linear equations has one or more solutions. A system of linear equations with no solutions is known as an inconsistent system. If two or more equations are true for the same set of values, they are said to be consistent.
There are several ways to resolve a system of linear equations to determine whether or not it is consistent. You can use any of the available methods to reduce the given system to a triangular form and identify the consistency of the system.
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On a certain hot summer day, 481 people used the public swimming pool. The daily prices are $1. 25 for children and $2. 25 for adults. Receipts for admission totaled $865. 25. How many children and how many adults swam at the public pool that day?
There were 481 people that utilized the public swimming pool that day, including 217 children and 264 adults.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter.
given
The number of children =X=217
The number of adults=264
Let say the number of children are denoted by X
Then the number of adults are (481-X)
Price for children =1.25X
Price for adults=2.25(481-X)
Price for children +Price for adults=865.25
1.25X+2.25(481-X)=865.25
Solving for X:
1.25X+1082.25-2.25X=865.25
-X=865.25-1082.25
-X=-217
X=217
The number of children =X=217
The number of adults=(481-X)
The number of adults=(481-217)
The number of adults=264
There were 481 people that utilized the public swimming pool that day, including 217 children and 264 adults.
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A certain school's enrollment increased 6% this year over last year's enrollment. If the school now has 1378 students enrolled, how many students were enrolled last year?
A. 1295
B. 1300
C. 1350
D. 1460
E. 1500
If the school now has 1,378 students enrolled, last year, the number of students enrolled was B. 1,300.
How is the number of students determined?Using the mathematical operations of addition, subtraction, division, and multiplication, we can determine the number of students.
Mathematical operations help us to determine unknown values, given a known domain.
Data and Calculations:Increase in school enrollment over last year's = 6%
Enrollment for the current year = 1,378
Let last year's enrollment = 100%
And the current year's = 1.06 (100 + 6)
Therefore, the enrollment last year = 1,300 (1,378/1.06)
Thus, the enrollment (number) last school year was B. 1,300.
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help please ..........
Answer:b would be 19 points
Step-by-step explanation:
write your answer in scientific notation
(5.059×104)+(2.7×104)
\(5.059 \times {10}^{4} + 2.7 \times {10}^{4} = \)
\((5.059 + 2.7) \times {10}^{4} = \)
\(7.759 \times {10}^{4} \)
Answer:
(5.059×104)+(2.7×104)
Step-by-step explanation:
An alternative definition of a minterm for a function is a product of literals such that there is exactly one setting of the input variables for the function that causes the minterm to evaluate to 1. For a function with input variables x, y, and z, give all the different possible values for x, y, and z that cause the expression xy' to evaluate to 1. Is xy' a minterm for this function?
The possible values for x, y, and z that cause the expression xy' to evaluate to 1 are (1,0,0), (1,0,1), (1,1,0), and (1,1,1).
Define literalsIn Boolean algebra, literals refer to the basic elements or variables that are used to represent binary values, i.e., 0 or 1.
The expression xy' evaluates to 1 if x = 1 and y = 0. To see why, we can substitute these values into the expression: xy' = 10' = 11 = 1.
Therefore, the possible values for x, y, and z that cause the expression xy' to evaluate to 1 are (1,0,0), (1,0,1), (1,1,0), and (1,1,1).
However, xy' is not a minterm for a function with input variables x, y, and z, because there is more than one setting of the input variables that causes the expression xy' to evaluate to 1.
Specifically, both (1,0,0) and (1,1,0) cause xy' to evaluate to 1.
A minterm, as defined, must have exactly one setting of the input variables that causes the minterm to evaluate to 1.
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PLEASE HELP! PICTURE BELOW
Answer: 42
Step-by-step explanation: 7+7+7+7+7+7
Answer:
147 square feet.
Step-by-step explanation:
Basically you find the triangle’s area 7 x 7 / 2 = 24.5
two triangle = 49
total area = 196
subtract the two triangles from total area
196-49=147
specify the bayesian form of the simple linear regression model. what does the joint likelihood depend on for this model?
1. The Bayesian form of the simple linear regression model is: y = β0 + β1 * x + ε.
where y is the dependent variable, x is the independent variable, β0 is the intercept, β1 is the slope, and ε is the error term.
2. The joint likelihood depends on the likelihood function, the prior distributions, and the data.
The Bayesian form of the simple linear regression model and explain what the joint likelihood depends on for this model.
The Bayesian form of the simple linear regression model involves updating our beliefs about the parameters of the model (slope and intercept) based on the observed data.
The model can be represented as:
y = β0 + β1 * x + ε
Where y is the dependent variable, β0 is the intercept, β1 is the slope, x is the independent variable, and ε is the error term.
In the Bayesian approach, we assign prior distributions to the model parameters, β0 and β1, and update these priors using the observed data to obtain posterior distributions.
The joint likelihood for the Bayesian simple linear regression model depends on three components:
The likelihood function:
This represents the probability of observing the data given the model parameters.
For a simple linear regression model, the likelihood function is typically based on the assumption that the errors (ε) follow a normal distribution with mean 0 and variance \(\sigma^2.\)
The prior distributions:
These represent our beliefs about the model parameters (β0 and β1) before observing the data.
Common choices for priors include normal or uniform distributions.
The data:
The observed values of the dependent variable (y) and the independent variable (x) are used to update the prior distributions and obtain the posterior distributions for the model parameters.
The Bayesian form of the simple linear regression model involves updating our beliefs about the model parameters (intercept and slope) using prior distributions and observed data.
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The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked.
What is the range of the function for this situation?
Answer:
C-All real numbers less than or equal to 40
Step-by-step explanation:
none of the other answers make any sense
Please show work. Thanks
The UCR expresses data as raw figures, crime rates, and changes in the number and rate over time. How are crime rates expressed in the UCR
Crime rates in the UCR (Uniform Crime Report) are expressed as the number of reported crimes per 100,000 population.
This allows for a standardized comparison of crime levels across different areas and time periods, taking into account population size. The UCR presents raw figures, crime rates, and changes in both the number and rate of crime over time to provide a comprehensive view of crime trends.
This is calculated by dividing the number of reported crimes by the population of the area and multiplying the result by 100,000. This helps to standardize the data and allows for comparison across different jurisdictions and time periods. Additionally, the UCR also presents changes in crime rates over time, allowing for the identification of trends and patterns in crime.
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4. Does the scatterplot have positive correlation, negative correlation, or no correlation?
Negative correlation
Positive correlation
O No correlation
Answer:
Negative Correlation
Step-by-step explanation:
Since the points are approximately lined up in a linear line pointing toward the bottom right, the slope of the best fit line would be a negative value. So the scatter plot shows a negative correlation.
Add the following 18 year 5 months and 22 months
Answer:
20 years and 3 monthsStep-by-step explanation:
Add the following 18 years 5 months and 22 monthsadd up the months
5 + 22 = 27
there are 12 months in a year, so we have 2 years and 3 months to add to the 18 years
18 + 2 = 20 years
so
we have
20 years and 3 months
Suppose the random variables and have joint probability distribution function
f(x,y)=15xy2,0
a. Find the marginal pdf f1(x) of X.
b. Find the conditional pdf f2(y∨x).
c. Find P(Y>13∨X=x) for any x>13.
a. The marginal pdf f1(x) of X is 0
b. the conditional pdf f2(y∨x) is 0
c. The P(Y>13∨X=x) for any x>13 is 0
a. To find the marginal pdf f1(x) of X, we integrate f(x,y) over y from 0 to x:
f1(x) = ∫ f(x,y) dy from 0 to x
= ∫ 15xy^2 dy from 0 to x
= 5x^4
So, f1(x) = 5x^4 for 0 ≤ x ≤ 1, and f1(x) = 0 otherwise.
b. To find the conditional pdf f2(y∨x), we use the formula:
f2(y∨x) = f(x,y) / f1(x)
So, we have:
f2(y∨x) = 15xy^2 / (5x^4) = 3y^2 / x^3 for 0 ≤ y ≤ x ≤ 1, and f2(y∨x) = 0 otherwise.
c. To find P(Y > 13 ∨ X = x) for any x > 0, we need to integrate the joint pdf f(x,y) over the region where y > 13 and x = x. This region is a triangular region with vertices at (x,13), (x,x), and (1,x). So, we have:
P(Y > 13 ∨ X = x) = ∫∫ f(x,y) dy dx over the triangular region
= ∫ x∫13^x 15xy^2 dy dx / (5x^4)
= ∫ x [(13x^3)/2 - (x^4)/4] dx / (5x^4)
= 15/8 - (13/8)x
So, P(Y > 13 ∨ X = x) = 15/8 - (13/8)x for 0 < x ≤ 1, and P(Y > 13 ∨ X = x) = 0 otherwise.
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The sum of x and 3 times y is 5. The difference of x and y is 5. Write two equations and graph to find the value of y.
Answer:
for the first one, x + 3 * y = 5
and the second equation, x - y = 5
Step-by-step explanation:
the sum of two numbers means for example the sum of 5 and 8 is 13, so as an equation that is 5 + 8 = 13
the difference is the same thing as the sum but it's subtraction.
and then times is just multiplication.
the event containing the outcomes belonging to a or b or both is the __________ of a and b.
The event containing the outcomes belonging to a or b or both is the union of a and b.
Let us consider two sets a and b, and say events or the elements in set a are: (x, y, z), and the elements in set b are: (o, p, q)
The union of these two sets will give:
aUb=(x, y, z, o, p, q)
Now, a union of two sets (denoted by U), for our case a and b, is the set or event containing the elements belonging to a or b or both the elements in a and b altogether.
Thus, the even containing the outcomes belonging to a or b or both in a and b altogether is the union of a and b.
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The path r(t)=(t) i + ( + 7) ; describes motion on the parabola y=x² + 7. Find the particle's velocity and acceleration vectors at t= 1, and sketch them as vectors on the curve. The velocity vector a
The velocity vector points in the direction of the tangent line to the curve at t=1, and the acceleration vector points in the direction of the curvature of the curve at that point.
We can find the velocity vector by taking the derivative of r(t):
v(t) = r'(t) = i + 2t j
At t = 1, the velocity vector is v(1) = i + 2j.
To find the acceleration vector, we take the second derivative of r(t):
a(t) = r''(t) = 2j
At t = 1, the acceleration vector is a(1) = 2j.
To sketch these vectors on the curve, we first plot the point r(1) = i + 8. Then, we draw the velocity vector i + 2j starting from this point, and the acceleration vector 2j starting from the same point.
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Whole numbers greater than zero are
Answer:
Natural numbers, because they consist of 1, 2, 3, etc...
Answer:
integers
Step-by-step explanation:
integers is what it is called
The data represent the number of driving fatalities for a certain area by age for male and female drivers. ( Please Show work)
Male Female
under 16 162 116
16-20 6419 2031
21-34 10,782 4322
35-54 10,928 4908
55-69 4278 1892
70 & Over 2696 1771
(a) What is the probability that a randomly selected driver fatality who was male was 21 to 34 years old?
The probability that a randomly selected driver fatality who was male was 21 to 34 was male years old is approximately______. (Round to three decimal places as needed)
(b) What is the probability that randomly selected driver fatality who was 21 to 34 was male.
What is the probability that a randomly selected driver fatality who was 21 to 34 was male is approximately _____. (Round to three decimal places as needed)
(c) Is a victim of a fatal accident aged 21 to 34 more likely to be male or female? Choose the correct statement below.
A. The driver is more likely to be male because the probability is greater than 0.5.
B. The driver is more likely to be male because the probability is less than 0.5.
C. The driver is more likely to be female because the probability is greater than 0.5.
D. The driver is more likely to be female because the probability is less than 05.
(a) The probability that a randomly selected driver fatality who was 21 to 34 was male is approximately 1.166.
(b)The probability that a randomly selected driver fatality who was 21 to 34 was male is approximately 1.166.
(c)The driver is more likely to be male because the probability is greater than 0.5.
(a)The probability, we need to divide the number of male driver fatalities aged 21 to 34 by the total number of male driver fatalities.
Total male driver fatalities aged 21 to 34: 10,782
Total male driver fatalities (all ages): 10,782 + 10,928 + 4,278 + 2,696 = 28,684
Probability = (Number of male driver fatalities aged 21 to 34) / (Total male driver fatalities)
Probability = 10,782 / 28,684 ≈ 0.376 (rounded to three decimal places)
The probability that a randomly selected driver fatality who was male was 21 to 34 years old is approximately 0.376.
(b) The probability, we need to divide the number of male driver fatalities aged 21 to 34 by the total number of driver fatalities aged 21 to 34.
Total driver fatalities aged 21 to 34: 4,322 + 4,908 = 9,230
Probability = (Number of male driver fatalities aged 21 to 34) / (Total driver fatalities aged 21 to 34)
Probability = 10,782 / 9,230 ≈ 1.166 (rounded to three decimal places)
The probability that a randomly selected driver fatality who was 21 to 34 was male is approximately 1.166.
(c) To determine if a victim of a fatal accident aged 21 to 34 is more likely to be male or female, we compare the probabilities from parts (a) and (b).
From part (a), the probability that a randomly selected driver fatality who was male was 21 to 34 years old is approximately 0.376.
From part (b), the probability that a randomly selected driver fatality who was 21 to 34 was male is approximately 1.166.
Since the probability from part (b) is greater than 0.5, we can conclude that:
A. The driver is more likely to be male because the probability is greater than 0.5.
Therefore, a victim of a fatal accident aged 21 to 34 is more likely to be male.
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help please? like this is fr hard
Answer: (-2,1)
Step-by-step explanation: Easy stuff
I need to sort these based on the way you would find their congruency. I already sorted them, just tell me if I am right. Make sure it also corresponds with what the left says the triangle has to be. Thanks!
Assuming that ΔABC has equal sides AB and AC, we can say that AD is parallel to BC hence∠A=∠B.
What is Congruency?
ongruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
from △ABD and △ACD,
AB=AC ,AD is common
∠ADB=∠ADC, since both are right angles.
by SSA congruence
△ABD≅△ACD
therefore base angles are equal.
use sine rule,
a/sinA = b/sinB = c/sinC
by definition of isosceles triangle, any two sides are equal
w.l.o.g. let, a=b
asinA=asinB=csinC
asinA=asinB
aa=1=sinAsinB
⟹sinA=sinB
and ∠A and ∠B are less than 180.
therefore ∠A=∠B
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1. A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process. True or False
2. Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory. True or False
1. The given statement "A negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process" is True
2. The given statement "Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory" is True
1) Negative attitude, misperception, and partial hearing loss are all examples of noise in the basic communication process.
Noise refers to any external or internal element that disrupts communication. Communication is the exchange of messages between two or more people, so noise in communication refers to anything that interferes with the exchange of messages.
2)Employee motivation and pay satisfaction are major components in Frederick Herzberg's two-factor theory.
Herzberg's two-factor theory, also known as the motivation-hygiene theory, identifies the two types of factors that affect job satisfaction:
hygiene factors and motivating factors.
Employee motivation and pay satisfaction are examples of motivating factors that contribute to job satisfaction.
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Algeria has decided to take out an advertisement in the U.N. newspaper, Liberty Daily. The newspaper charges a base fee of $1500 for an ad. There is an additional fee of $700 for every inch in height. If Algeria is willing to spend any amount up to (and including) $4300, what choices does the country have for the height of the ad? Let x = the height of the ad (inches) Let y = the cost of the ad ($) A. Write an inequality to represent this situation. B. What choices does the country have for the height of the ad?
Answer:
Step-by-step explanation:
Are the following ratios equivalent? Explain.
2:10
6:60
Answer:
No
Step-by-step explanation:
it would 12:60
6x2=12
6x10=60
Answer:
they are not equivalent
Step-by-step explanation:
7 : 35
12 : 60
17 : 85
22 : 110
hear are ratios that are equivalent to 2:10
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
D
Step-by-step explanation:
A is not true because from the graph, they make less money at $13 compared to $10 even though 13 > 10. B isn't true either because when the app price is more than $7 the profit decreases, not increases. D is true because the y-coordinate of the vertex (which is the maximum in this case) is about 40 million, and if we know the maximum already we know that C is false because 40 ≠ 7.
Find the arc length of AB if the
circumference of this circle is 187.
Answer:
π
Step-by-step explanation:
a circle contains 360° in total, so given it's circumference (lets say C),
the length of an arc with angle α is (α/360)*C
for our exanple, the length of arc AB, will be (20/360)*C
as C is given to be 18π cm, we can calculate:
Length(AB) = (20/360)*18π = π
a kayack guide took two hours to paddle 20 miles downstream with the current and four hours to paddle 16 miles upstream against the current. find the speed of the current and the average paddling speed
The speed of current and average speed of paddling is 3 and 7 respectively.
Let p represents paddling speed of kayack guide and c represents speed of current.
If paddling downstream, the total speed is p + c because you’re paddling with the current. Similarly, if paddling upstream, the total speed is p - c because you would be paddling against the current.
Since paddling downstream took 2 hours so distance covered 2*(p + c)
which is equal to 20 miles.
2*(p + c) =20.
p + c = 10. -----i
Paddling upstream took 4 hours so distance covered 4*(p-c).
which is equal to 16 miles.
4*(p-c) = 16.
p - c = 4. -------ii
adding both equation c will be cancelled. 2*p=14 p =7.
put value of p in equation i.
7 + c = 10 ,c = 3.
So the speed of current and average speed of paddling is 3 and 7 respectively.
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