what is forty-five million, nine hundred seventy-four thousand, nine hundred fourteen in standard form?
help pls
Answer: its 450,974,941
A garden is the shape of a triangle. It has a perimeter of 27 meters. Each side of the garden is the same length.
What is the length of each side of the garden?
3 meters
6 meters
9 meters
27 meters
Answer: 9 meters
Step-by-step explanation:
Let's list what we know
The garden is in the shape of a triangle
The perimeter of the garden is 27 meters
Each side is the same length
The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides
Since all the sides are the same length we can divide 27 by 3 to find the length of each side
27/3=9
anyone please help:<
Answer:
y= 4x^2
Step-by-step explanation:
HURRY please The length of the rectangular sticker is 5.38 cm and the width is 3.5 cm. What is the area of the sticker?
devry math 221 week 6 quiz (co 5) a company claims that its heaters last less than 5 years. write the null and alternative hypotheses.
Null hypothesis: The average lifespan of the heaters is equal to or greater than 5 years
Alternative hypothesis: The average lifespan of the heaters is less than 5 years.
What are null and alternative hypotheses of the claim?In hypothesis testing, the null hypothesis (H0) is a statement that assumes no significant difference between a sample statistic and a population parameter. The alternative hypothesis (Ha) is a statement that contradicts the null hypothesis and asserts that there is a significant difference between the sample statistic and the population parameter.
In this scenario, the company claims that its heaters last less than 5 years. We can express this claim as the alternative hypothesis (Ha), which states that the average lifespan of the heaters is less than 5 years.
On the other hand, the null hypothesis (H0) is a statement that assumes that the average lifespan of the heaters is equal to or greater than 5 years. This is the default assumption until evidence is found to support the alternative hypothesis.
To test these hypotheses, we would collect a sample of heaters and measure their lifespans. We would then calculate the sample mean and compare it to 5 years. If the sample mean is significantly less than 5 years, we would reject the null hypothesis and conclude that the average lifespan of the heaters is less than 5 years.
In summary, the null and alternative hypotheses for this scenario are:
Null hypothesis (H0): The average lifespan of the heaters is equal to or greater than 5 years.
Alternative hypothesis (Ha): The average lifespan of the heaters is less than 5 years
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Write the number 376 as product of prime factors. Write any repeated factors using exponents.
we have that
\(376=2^3\cdot47\)Solve the system by substitution.
y= -x
10x+2y=40
Draw an ERD for the following situation, which is based on Lapowsky (2016): The Miami-Dade County, Florida, court system believes that jail populations can be reduced, reincarceration rates lowered, and court system costs lessened and, most important, that better outcomes can occur for people in and potentially in the court system if there is a database that coordinates activities for county jails, metal health facilities, shelters, and hospitals. Based on the contents of this database, algorithms can be used to predict what kind of help a person might need to reduce his or her involvement in the justice system. Eventually, such a database could be extensive (involving many agencies and lots of personal history and demographic data) once privacy issues are resolved. However, for now, the desire is to create a prototype database with the following data. Data about persons will be stored in the database, including professionals who work for the various participating agencies as well as those who have contact with an agency (e.g., someone who is a client of a mental health facility, who is incarcerated, or both). Data about people include name, birth date, education level, job title (if the person is an employee of one of the participating agencies), and (permanent) address. Some people in the system will have been prescribed certain medicines while in the care of county hospitals and mental health facilities. A medicine has a name and a manufacturer. Each prescription is for a particular medicine and has a dosage. A prescription is due to some diagnosis, which was identified on a certain date, to treat some illness, was diagnosed by some facility professional, and has notes explaining family history at the time of the diagnosis. Each illness has a name and some medicines or other treatments commonly prescribed (e.g., certain type of counseling). Each participating agency is of a certain type (e.g., criminal justice, mental health) and has a name and a contact person. People v is it or contact an agency (e.g., they are arrested by the justice system or stay at a shelter). For each contact a person has with an agency, the database needs to record the contact date, employment status at time of contact, address at time of contact, reason for visit/contact, and the name of the responsible agency employee.
The ERD for the described situation would include entities such as county jails, mental health facilities, shelters, hospitals, and a coordinating database. Relationships between these entities would allow for coordination and prediction of the type of assistance individuals may need to reduce their involvement in the justice system.
What are the main entities and relationships in the ERD for the Miami-Dade County court system's database?The ERD for the Miami-Dade County court system's database would include the following entities:
County Jails: Represents the jails within the county system where individuals may be incarcerated.
Mental Health Facilities: Represents the facilities that provide mental health services and support.
Shelters: Represents the shelters that offer temporary housing and assistance to those in need.
Hospitals: Represents the healthcare institutions where individuals receive medical treatment.
Coordinating Database: Represents the central database that coordinates activities and stores information from all the other entities.
The relationships between these entities would be established through appropriate connections:
County Jails to Coordinating Database: This relationship would allow for the exchange of information about individuals in the jail system, including their personal history and involvement in the justice system.
Mental Health Facilities to Coordinating Database: This relationship would facilitate the sharing of information regarding individuals' mental health needs and treatment plans.
Shelters to Coordinating Database: This relationship would enable the coordination of housing services and assistance programs for individuals in the justice system.
Hospitals to Coordinating Database: This relationship would allow for the integration of medical records and healthcare services for individuals involved in the justice system.
These relationships and the information stored in the coordinating database would serve as the foundation for algorithms to predict the type of help individuals might require to reduce their involvement in the justice system.
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A bag contains one green marble, two yellow marbles, four blue marbles and five red marbles. How many blue marbles would you need to add to make the probability of drawing a blue marble 1/2?
Answer:
You would have to add 4 blue marbles
Step-by-step explanation:
there are a total of 12 marbles, 4 of them being blue.
If you add 4 blue ones, there would be a total of 16 marbles and 8 of them would be blue.
8/16 = 1/2
Therefore, 4 blue marbles need to be added for the chance to draw one to be 1/2 or 50%
Answer:
Step-by-step explanation:
Since there is 1 green, 2 yellow, 4 blue, and 5 red we start with 12 marbles. For the probability of picking a blue to be 1/2 we must satisfy.
(b+x)/(12+x)=1/2. (Where x is the number of blue marbles added)
2(b+x)=12+x
2b+2x=12+x
2b+x=12
x=12-2b, since we started with 4 blue marbles
x=12-2(4)
x=12-8
x=4
So we would need to add 4 blue marbles to make the probability of picking a blue 1/2.
To pass science, a student must earn at least a grade of 70. How many students failed this science class? A histogram titled Science Grades has grades on the x-axis and number of students on the y-axis. 2 students received a score of 50 to 59; 5 students received a score of 60 to 69; 8 students received a score of 70 to 79; 5 students received a score of 80 to 89; 2 students received a score of 90 to 100.v
Answer:
7
Step-by-step explanation:
IM DORA
Answer:
7 students
Step-by-step explanation:
Explain why a plane cannot be named by any three points in the plane, but must be named by three noncollinear points in the plane.
A plane cannot be named by any three points in the plane because there are infinitely many planes that can pass through those points. By specifying only three points, we do not have enough information to uniquely identify a single plane.
To uniquely define a plane, we need to use three noncollinear points. Noncollinear points are points that do not lie on the same line. By choosing three noncollinear points, we can determine a unique plane that passes through those points. The combination of these three points creates a plane that is different from any other plane passing through any other set of three noncollinear points.
In summary, naming a plane requires three noncollinear points because this combination uniquely identifies a plane, whereas three points alone are not sufficient for this purpose.
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What part of the coordinate plane is equidistant from the points A(-3,2)and B(3,2)?
explain the answer
Builtrite has calculated the average cash flow to be $14,000 with a standard deviation of $5000. What is the probability of a cash flow being between than $16,000 and $19,000 ? (Assume a normal distribution.) 16.25% 18.13% 23.90% 2120%
The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
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Which steps should be used to graph the equation below?
y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
1. Plot the point (2, 4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
1. Plot the point (2, 4).
2. From that point, count left 1 unit and down 3 units and plot a second point.
3. Draw a line through the two points.
1. Plot the point (–2,4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
1. Plot the point (–2,4).
2. From that point, count left 1 unit and down 3 units and plot a second point.
3. Draw a line through the two points.
The points (2, 4) and (-5, 3) lie on the line y - 4 = (1/3)(x + 2) and the graph is drawn below. Then the correct option is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y - 4 = (1/3)(x + 2)
At x = - 2, the value of y is given as,
y - 4 = (1/3)(- 2 + 2)
y = 4
At x = - 5, then we have
y - 4 = (1/3)(- 5 + 2)
y - 4 = - 1
y = 3
The focuses (2, 4) and (- 5, 3) lie on the line y - 4 = (1/3)(x + 2), and the diagram is drawn beneath. Then the right choice is C.
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Answer:
Step-by-step explanation:
yoooooo
Please answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
12:32
Step-by-step explanation:
Answer:
12 : 32
Step-by-step explanation:
is -1 8/21 a irrational number
Answer:
yes
Step-by-step explanation:
because -1 8/21 is irrational
A circle is drawn on the coordinate plane. It
has a center at (2, 1) and passes through the
point (2, 5). What is the approximate
circumference of the circle?
Step-by-step explanation:
please mark me as brainlist please
Answer:
Using Pythagorean theorem we can find the radius which is the distance between the center and any point along the circle:
r=((5-1)^2+(2-2)^2)^(1/2)
r=(4^2-0^2)^(1/2)
r=4 units.
Circumference=2pr so our circumference is 8p units^2
so about 25.13 u^2
Need help asap ……..
Answer:
\(\frac{1}{3}\)(9) = 3
\(\frac{1}{4}\)(16) = 4
\(\frac{2}{5}\)(25) = 10
\(\frac{3}{5}\)(25) = 15
\(\frac{1}{5}\) x = 10 x=50
\(\frac{1}{4}\)x= 10 x=40
Jason needs to save at least $200 by the end of the summer. He already has $40, and he has 8 weeks to save. Which inequality can he use to decide how much he needs to save each week?
Step-by-step explanation:
y=mx+b
200 = 8x + 40
Rearrange,
x = 160/8 = 20
He would need to save $20 a week
200= 20 × 8 + 40
Answer:
8x + 40 ≥ 200At least $20 each weekStep-by-step explanation:
Target amount = at least $200Jason already has = $40Time = 8 weeksSaved amount each week = xRequired inequality:
8x + 40 ≥ 2008x ≥ 160x ≥ 160/8x ≥ $20Let f(t) = 3t + 2. For each of the following, state whether the –1 if included is an inverse or a reciprocal and then solve exactly for p. (a) f(p) = 5 (c) (f(p))⁻¹ = : 5 (b) f⁻¹(p) = 5 (d) f (p⁻¹) = 5
In (a) and (d), the -1 is a reciprocal, as -1 is being multiplied by f(p) or f(p⁻¹) respectively, and the solutions for p are p = 2 and p = -7/3 respectively. In (b) and (c), the -1 is an inverse, as it is part of the inverse of f(p), and the solutions for p are p = 7 and p = 5/3 respectively.
(a) f(p) = 5 is not an inverse or a reciprocal. To solve for p, we can use the equation f(p) = 5 and solve for p. We do this by subtracting 2 from both sides of the equation to get 3p = 3, and then dividing both sides by 3 to get p = 1.
(b) f⁻¹(p) = 5 is an inverse and we can solve for p using the equation f⁻¹(p) = 5. To do this, we subtract 2 from both sides to get 3p = 3, and then divide both sides by 3 to get p = 1.
(c) (f(p))⁻¹ = 5 is a reciprocal and we can solve for p using the equation (f(p))⁻¹ = 5. To do this, we first divide both sides of the equation by 5 to get 1/f(p) = 1. Then, we multiply both sides by f(p) to get f(p) = 5. Finally, we subtract 2 from both sides to get 3p = 3, and then divide both sides by 3 to get p = 1.
(d) f (p⁻¹) = 5 is not an inverse or a reciprocal. To solve for p, we can use the equation f (p⁻¹) = 5 and solve for p. We do this by multiplying both sides of the equation by p⁻¹ to get f(p) = 5p⁻¹. Then, we subtract 2 from both sides to get 3p = 5p⁻¹ - 2, and then multiply both sides by 3 to get 9p = 5p⁻¹ - 6. Finally, we add 6 to both sides to get 9p + 6 = 5p⁻¹, and then divide both sides by 4 to get p = 1.
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If the composite functions f(g(x)) and g(f(x)) both equal x, then the function g is the____function of f.
If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.
What is the inverse of a function?A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y.
Let us take the Example.
Suppose f(x)= x/4 and g(x)=4x.
Let x=1
then f(g(x))= f(g(1))=f(4)=1
and g(f(x))=g(f(1))=g(1/4)=1
Here, f(g(x))=g(f(x))=1
Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.
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in a maths class,the girl to boy ratio is 7:5 if there are 20 boys,how many girls are there?
Answer:
28:20
Step-by-step explanation:
you just multiply 5 by 4 because 20 divided by 4 is 5 and then multiply 7 by 4
Answer:
Let total students be ‘X’
No of girls = (X-20)
Girls/Boys=7/5=(X-20)/20
7(20) =5(X-20)
140=5X-100
5X=240
X = 240/5
X =48
So, Total Students are 48
No of girls = (X-20) = 48-20 = 28
Step-by-step explanation:
For problems 1, 2, and 3, use the function g(x) = sin(6x) .
1. Find the amplitude of the function. State the range of the function.
2. Find the period of the function. Find the key points of the function [intercept(s), maximum(s), and minimum(s)] for 1 period. Show all work.
3. Sketch the graph of g (one period), alongside the graph of f(x) = sinx on the interval [0,2/pi]. Label the axes.
For problems 4, 5, and 6, use the function g(x)=cos((x)/(4)).
4. Find the amplitude of the function. State the range of the function.
5. Find the period of the function. Find the key points of the function [intercept(s), maximum(s), and minimum(s)] for 1 period. Show all work.
6. Sketch the graph of g, alongside the graph of f(x) = cosx on the interval [0,2/pi] . Label the axes.
Step-by-step explanation:
1. Amplitude = 1. g(x) = 1 sin(6x). The coefficient 1 is the amplitude. The range of the function is \(-1 \le g(x) \le 1\) or, in interval notation, [-1, 1]
2. The period is \(\frac{2\pi}{6}=\frac{\pi}{3}\).
x-intercepts (at the beginning, middle, and end of the period) \(0,\,\frac{\pi}{6},\,\frac{\pi}{3}\)
Maximum (1/4 of way through period) \(\left(\frac{\pi}{12},\,1 \right)\)
Minimum (3/4 of way through period) \(\left( \frac{\pi}{4}, \, -1 \right)\)
Think About the Process The scale for the drawing of a rectangular
playing field is 2 inches = 7 feet. Find an equation you can use to find the
dimensions of the actual field. What are the actual dimensions?
The original dimensions of the field are -
L = (7/2)x
B = (7/2)y
What is function? What is expression?A function is a relationship between a dependent {y} and independent variable {x}.An expression is a combination of terms both constants and variables.Given is that the scale for the drawing of a rectangular playing field is :
2 inches = 7 feet.
We can write the original dimensions of the field as -
L = (7/2)x
B = (7/2)y
Therefore, the original dimensions of the field are -
L = (7/2)x
B = (7/2)y
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The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below. C(x) = 3x2 - 1500x + 199,000 a. Find the number of bicycles that must be manufactured to minimize the cost. b. Find the minimum cost. a. How many bicycles must be manufactured to minimize the cost? bicycles
To find the number of bicycles that must be manufactured to minimize the cost, we need to determine the value of x that corresponds to the minimum point of the cost function C(x).
We can find this by taking the derivative of C(x) with respect to x and setting it equal to zero. Let's differentiate C(x):
C'(x) = 6x - 1500
Now we set C'(x) = 0 and solve for x:
6x - 1500 = 0
6x = 1500
x = 250
Therefore, the number of bicycles that must be manufactured to minimize the cost is 250 bicycles.
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in bridge, the 52 cards of s standard card deck are randomly dealt 13 apiece to players north, east, south, and west. (a) what is the probability that west has all 13 spades? (b) what is the probability that each player has one ace?
The probability that each player receives an ace is: 0.1055
let us consider they are 52 open spots in a row. We should divide the cards by placing them on these spots. This is the understanding that the cards on spots 1,2,…, and 13 are for a player, and the cards on spots 14,15,…, and 26 are for another player.
Then there are 134 ways to place the aces in such a way that each player will get an ace. This is the understanding that we do not discern suits. Next to that, there are 524 ways in total to place the aces.
So the probability that each player receives an ace is:
134(524)=28561270725=219720825≈0.1055
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find the number of four letter words that can be formed using the letters of the word mixture which contains the letter X
Evaluate:
Sigma 50 over 1 (4n - 1) = [?]
Answer:
50 over 1 (4n - 1) = 5050
I hope I helped you^_^
HURRY
The function f(x)= sqaure root of -x is shown on the graph.
Which statement
is correct?
On Monday, Lui picked up even cone and ix large coffee for the office taff. He paid $29. 54. On Tueday, Rachel picked up two cone and five large coffee for the office taff. She paid $14. 42. What i the cot of one cone? What i the cot of one large coffee?
The cost of one cone = $x = 2.66 and the cost of one large coffee = $1.82
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Consider,
the cost of one cone = $x
the cost of one large coffee = $y
the cost of seven cones = $ 7x
the cost of six large coffee = $ 6y
According to questions
7x + 6y = $29. 54 ...........(1)
the cost of two cones = 2x
the cost of five large coffee = $5y
then, 2x + 5y = $14.42 ...........(2)
By calculating the equations (1) & (2), we get,
x = 2.66
y = 1.82
Hence, the cost of one cone = $x = 2.66 and the cost of one large coffee = $1.82
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