Answer:
\(\huge\boxed{y=19}\)
Step-by-step explanation:
The slope-intercept form of an equation of a line:
\(y=mx+b\)
\(m\) - slope
\(b\) - y-intercept (0, b)
The formula of a slope:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
=========================================
We have two points (5, 19) and (1, 19).
Calculate the slope:
\(m=\dfrac{19-19}{1-5}=\dfrac{0}{-4}=0\)
Calculate the y-intercept (\(b\)). Substitute \(m=0\) and coordinate of the point (1, 19) to the equation of a line:
\(19=0\cdot1+b\\\\19=b\to b=19\)
Finally:
\(y=19\)
write newton's formula as xn 1 = f(xn) for solving f(x) = 0. f(x) = x2 − 8 f(xn) =
To rewrite Newton's formula for solving f(x) = 0 using the given function f(x) = x^2 - 8, first, let's recall the general Newton's formula:
x_{n+1} = x_n - f(x_n) / f'(x_n)
In this case, f(x) = x^2 - 8. To apply the formula, we need the derivative of f(x), f'(x):
f'(x) = 2x
Now, plug f(x) and f'(x) into the Newton's formula:
x_{n+1} = x_n - (x_n^2 - 8) / (2x_n)
This equation represents Newton's method for solving f(x) = x^2 - 8, with f(x_n) = x_n^2 - 8.
Newton's formula for solving equations of form f(x) = 0 is given by the recurrence relation:
xn+1 = xn - f(xn)/f'(xn)
where xn is the nth approximation of the root of f(x) = 0, and f'(xn) is the derivative of f(x) evaluated at xn.
To write this formula as xn+1 = f(xn), we need to first rearrange the original formula to solve for xn+1:
xn+1 = xn - f(xn)/f'(xn)
Multiplying both sides by f'(xn) and adding f(xn) to both sides, we get:
xn+1*f'(xn) + f(xn) = xn*f'(xn)
Rearranging terms and dividing both sides by f'(xn), we get:
xn+1 = xn - f(xn)/f'(xn)
which is the same as:
xn+1 = f(xn) - xn*f'(xn)/f(xn)
Substituting f(x) = x^2 - 8 into this formula, we get:
xn+1 = (xn^2 - 8) - xn*(2*xn)/((xn^2 - 8))
Simplifying, we get:
xn+1 = xn - (xn^2 - 8)/(2*xn)
This is Newton's formula in form xn+1 = f(xn) for solving f(x) = 0, where f(x) = x^2 - 8.
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In ATUV, Y is the centroid.
If YU = 9 then what is ZY and ZU
Answer:
I need more information.... ??
Step-by-step explanation:
One year, airline A had 6.06 mishandled bags per 1,000 passengers. Complete parts a. through c. below. a. What is the probability that in the next 1,000 passengers, the airline will have no mishandled bags? The probability that the airline will have no mishandled bags is (Round to four decimal places as needed.)
The probability that the airline will have no mishandled bags is 0.0022.
Given that airline A had 6.06 mishandled bags per 1,000 passengers.Let us find the probability that in the next 1,000 passengers, the airline will have no mishandled bags. Here, the mean number of mishandled bags = 6.06.
We need to find the probability that the airline will have no mishandled bags.
Probability of having no mishandled bags = P(X = 0)
The Poisson distribution formula is
P(X = x) = (e^(-λ) * λ^x) / x!
Where λ is the mean number of occurrences of an event in a given interval of time/space.
Here, λ = 6.06 and x = 0.
Thus, the Poisson distribution formula will be:
P(X = 0) = (e^(-6.06) * 6.06^0) / 0!
P(X = 0) = (e^(-6.06) * 1) / 1
P(X = 0) = e^(-6.06)
P(X = 0) = 0.0022011124290586392 (approximately)
Therefore, the probability that in the next 1,000 passengers, the airline will have no mishandled bags is 0.0022 (rounded to four decimal places).
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Jim takes an hour to fold the weekly washing for his family. His older sister Sara can do the same job in half the time. How many minutes would it take them to fold the washing together if they continue to fold at their own rates?
Answer:
Let's start by finding out how long it takes Jim to fold the washing in minutes. Since there are 60 minutes in an hour, Jim takes 60 minutes to fold the washing. Sara can do the same job in half the time, so she takes 30 minutes to fold the washing. To find out how long it would take them to fold the washing together, we can use the formula: Time = (Work) / (Rate) In this case, the "work" is folding the washing, and the "rate" is how long it takes each person to do the work. We can add their rates together to get the combined rate: Combined rate = Jim's rate + Sara's rate Combined rate = 1/60 + 1/30 To add these fractions, we need to find a common denominator, which is 60:
Those activities that enable a person to describe in the detail the system that solves the need is called?
Those activities that enable a person to describe in the detail the system that solves the need is called "System design".
What is a system design?The method of defining the components of a system consists, modules, and components, the various interfaces of those components, and the data that flows through that system is known as system design.
Some key features regarding the system design are-
It is intended to meet unique objectives and needs of a company or group by creating a cohesive and well-functioning system.The systematic approach to system design is implied by the term systems design. It may take a bottom-up as well as top-down approach, but in either case, the process is systematic in that it considers all associated factors of the system that must be created—from the architecture to the necessary hardware and software, all the way down to the data and in how it travels as well as transforms throughout its journey through the system.To know more about the system design, here
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1/4 Marks
a) Complete the prime factor trees for 16 and 40:
16
b)
2
2
8
2
4
17/31 Marks
2
2
40
What is the Lowest Common Multiple of 16 and 40?
82%
5
Answer:
Answer in photo!!! :))
Step-by-step explanation:
A study found that 7 out of 10 participates could curl their tongue. If there are 200 total, how many of them are expected to be able to curl their tongue?
Answer:
140 people
Step-by-step explanation:
We can make two ratios...
7:10
x:200
We can since 10*20 = 200, we can multiply 7 by 20 to get x.
x=7*20=140
140 people are expected to be able to curl their tongue
Find the indicated length.
Answer:
the answer for this is x=-8
Hashemian
dependence Test You Try Example 3
Use the table below to test independence on 1 bedroom
apartments and single occupants?
1 Bedroom
Single Occupant
Multiple Occupants
Total
26
90
2+
Bedrooms
12
98
110
Total
76
S
124
200
Q2) A Die is tossed Find P (Less than 5 | Even)?
2/3 or 6/36
Q3) Mark wants a snack from a basket containing 16 items: 5 chips, 6
pretzels, 4 granola bars, and 3 crackers. (No replacement)
A) Find the Prob (Chips, then Crackers)
Find the Prob (Pretzels then Pretzels)
2
a. The probability of selecting chips, then crackers is 1/16.
b. The probability of selecting pretzels, then pretzels is 1/8.
How to calculate thw probabilityA) The probability of selecting a chip on the first draw is 5/16. Since there is no replacement, the probability of selecting a cracker on the second draw is 3/15, as there are now only 15 items left in the basket. Therefore, the probability of selecting chips, then crackers is (5/16) x (3/15) = 1/16.
B) The probability of selecting a pretzel on the first draw is 6/16. Since there is no replacement, the probability of selecting another pretzel on the second draw is 5/15, as there are now only 15 items left in the basket.
Therefore, the probability of selecting pretzels, then pretzels is (6/16) x (5/15) = 1/8.
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The rule for the dilation of quadrilateral QRST to the image Q'R'S'T' is DO,0.5(x, y) → (0.5x, 0.5y).
What are the coordinates of Q', if Q(0, 2)?
(
,
)
Answer:
Q' (0, 1)
Step-by-step explanation:
(x, y) → (0.5x, 0.5y) <== substitute 0 for x and 2 for y
(0, 2) → (0.5(0), 0.5(2)) <== multiply
(0, 2) → (0, 1)
Hope this helps!
Find the center and radius of the circle with the equation x^2 + y^2 = 9. Then graph the circle.
Answer:
center = origin (0,0)
radius = 3
to graph it, draw a circle that goes through the points (3,0), (0,3), (-3,0), (0,-3)
Step-by-step explanation:
please help me on this will give you brainliest
Answer:
15/20 16/20 <
Step-by-step explanation:
First, make a common denominator for both, which is 20. So, 3/4 = 15/20. Then 4/5= 16/20. 15/20 < 16/20, so 3/4 < 4/5.
the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year
The rate of change of the annual u.s. factory sales in 2000 is 7.7 billion dollars per year
How to calculate the rate of changeFrom the question, we have the following parameters that can be used in our computation:
s(t) = 0.12t² − t + 5.7
In 2000, we have the value of t to be
t = 2000 - 1990
Evaluate
t = 10
So, we have
s(10) = 0.12 * 10² − 10 + 5.7
Evaluate
s(10) = 7.7
Hence, the rate in 2000 is 7.7 billion dollars per year
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Question
the rate of change of annual u.s. factory sales (in billions of dollars per year) of consumer electronic goods to dealers from 1990 through 2001 can be modeled as s(t) = 0.12t2 − t + 5.7 billion dollars per year
Calculate the rate of change in 2000
HELP ME EXPLAIN PLEASE HURRY!!!!
Answer:
40
Step-by-step explanation:
The formula is: a² + b² = c²
Looking at the picture, 41 is the hypotenuse of the triangle. We can now solve.
9² + b² = 41²
Which the answer is 40.
p+t+t-p-t+ P + P + t - t-t=
Answer:
i think 3p-p it might not be but maybe
Step-by-step explanation:
The owner offers a payment plan where the total cost of the mountain bike is paid in 3 equal monthly payments. Determine the amount of each monthly payment. Show your work or explain your answer.
Answer:
Step-by-step explanation:
$66.67/month for three months
The monthly payment is calulated by dividing the total cost of the mountain bike by 3. For example, if the total cost is $200, the three monthly payments will be $66.67 each:
$200
---------------- = $66.67/month for three months
3 months
a jar contains 4 red marbles numbered 1 to 4 and 8 blue marbles numbered 1 to 8. a marble is drawn at random from the jar. find the probability of the given event. write your answers as reduced fractions. (a) the marble is red your answer is : (b) the marble is odd-numbered your answer is : (c) the marble is red or odd-numbered your answer is : (d) the marble is blue and even-numbered your answer is :
The main purpose of descriptive statistics is to Multiple Choice summarize data in a useful and informative manner. make inferences about a population. determine if the data adequately represent the population. gather or collect data.
Descriptive statistics are used to summarize data in a useful and informative manner.
What is Statistics?This type of statistics provides meaningful information about the data set by organizing and presenting it in an easily understandable format. Descriptive statistics can be used to summarize the data in the form of tables, graphs, and charts. It can also be used to provide detailed information about the data set, such as the mean, median, mode, standard deviation, and range.
Descriptive statistics can also be used to make inferences about a population. This is done by comparing the data collected from a sample to the characteristics of the population. By understanding the characteristics of the population, researchers can make accurate predictions about the behavior of the population.
Descriptive statistics can also be used to determine if the data adequately represent the population. This involves analyzing the sample size, data accuracy, and the assumptions made about the population. If the data does not accurately represent the population, then researchers have to make changes to their data collection process or revise their assumptions about the population.
Finally, descriptive statistics can be used to gather or collect data. This involves designing surveys, experiments, and other data collection methods. By using descriptive statistics to collect data, researchers can ensure that the data is valid and reliable.
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In developing patient appointment schedules , a medical centre wants to estimate the mean time that a staff member spends with each patient. How large a sample should be taken if the desired margin of error is 2 minutes at a 95 per cent level of confidence? How large a sample should be taken for a 99 per cent level of confidence ? Use a planning value for the population standard deviation of 8 minutes.
A. A sample size of 62 should be taken for a 95% level of confidence.
B. The sample size of 107 should be taken for a 99% level of confidence.
a. To estimate the sample size needed to estimate the mean time a staff member spends with each patient, we can use the formula for sample size calculation:
n = (Z^2 * σ^2) / E^2
Where:
n = required sample size
Z = Z-score corresponding to the desired level of confidence
σ = population standard deviation
E = desired margin of error
For a 95% level of confidence:
Z = 1.96 (corresponding to a 95% confidence level)
E = 2 minutes
σ = 8 minutes (population standard deviation)
Substituting these values into the formula:
n = (1.96^2 * 8^2) / 2^2
n = (3.8416 * 64) / 4
n = 245.9904 / 4
n ≈ 61.4976
Since we can't have a fraction of a sample, we round up the sample size to the nearest whole number. Therefore, a sample size of 62 should be taken for a 95% level of confidence.
b. For a 99% level of confidence:
Z = 2.58 (corresponding to a 99% confidence level)
E = 2 minutes
σ = 8 minutes (population standard deviation)
Substituting these values into the formula:
n = (2.58^2 * 8^2) / 2^2
n = (6.6564 * 64) / 4
n = 426.0096 / 4
n ≈ 106.5024
Rounding up the sample size to the nearest whole number, a sample size of 107 should be taken for a 99% level of confidence.
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Multiply (-4r^3)(-5r^3) =
Answer:
20r^6
Step-by-step explanation:
I'm not sure
Answer:
20 r ^6
Step-by-step explanation:
-4*-5=20
3+3=6
The product of powers rule states that when multiplying two powers with the same base, just add the exponents.
How can you find 50% of any number? Select all that apply.
Divide by 50
Find 1/2 of the number.
Divide the number by 2.
Divide by 100.
You are at a parade looking up at a large balloon floating directly above the street. You are 60 feet from a point on the street directly beneath the baloon. To see the top of the baloon, you look up at an angle of 53°. To see the bottom of the ballon you look up at an an angle of 29°. Estiamte the height, h, of the balloon to the nearest foot. Answer with only the numeric value
Answer:
The height of the balloon is 46 feet.
Step-by-step explanation:
Let the height from the ground to the top of the balloon be represented by x. Applying the appropriate trigonometric function, we have;
Looking at the top of the balloon,
Tan θ = \(\frac{opposite}{adjacent}\)
Tan 53° = \(\frac{x}{60}\)
x = 60 x Tan 53°
= 79.6227
x = 79.62 feet
Looking at the bottom of the balloon, let the height from the ground to the bottom of the balloon be represented by y.
Tan θ = \(\frac{opposite}{adjacent}\)
Tan 29° = \(\frac{y}{60}\)
y = 60 x Tan 29°
= 33.2585
y = 33.26 feet
The height of the balloon = x - y
= 79.6227 - 33.2585
= 46.3642
The height of the balloon is 46 feet.
What’s the answer????
it questions is my level very hard questions
Step-by-step explanation:
graph x axis
assume → u and → v are non-zero vectors and k is a scalar. select all the expressions which represent vectors. chegg
To determine which expressions represent vectors, we need to understand the properties and characteristics of vectors. A vector is a mathematical object that has both magnitude and direction.
It can be represented geometrically as an arrow in space, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector.
Based on this definition, we can identify the expressions that represent vectors:
1. → u: This expression represents a vector. The arrow symbol (→) indicates that it has both magnitude and direction.
2. → v: Similarly, this expression represents a vector. The arrow symbol (→) indicates that it has both magnitude and direction.
3. k → u: This expression also represents a vector. Multiplying a vector by a scalar (k) does not change its nature as a vector. It only scales the magnitude of the vector while keeping its direction intact.
4. → u + → v: This expression represents a vector. Adding two vectors together results in another vector with a magnitude and direction determined by the combination of the original vectors.
5. → u - → v: Similarly, this expression represents a vector. Subtracting one vector from another also results in a new vector with a magnitude and direction determined by the operation.
6. k(→ u + → v): This expression represents a vector. Here, we have both scalar multiplication (k) and vector addition (→ u + → v), which combine to produce another vector.
The expressions listed above all represent vectors because they possess both magnitude and direction, which are fundamental properties of vectors.
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How many solutions does the system of equations have?
y=-2x+3
y = x² - 6x +3
Answer:
2 solutions
Step-by-step explanation:
y = - 2x + 3 → (1)
y = x² - 6x + 3 → (2)
substitute y = x² - 6x + 3 into (1)
x² - 6x + 3 = - 2x + 3 ( subtract - 2x + 3 from both sides )
x² - 4x = 0 ← factor out x from each term on the left side
x(x - 4) = 0
equate each factor to zero and solve for x
x = 0
x - 4 = 0 ⇒ x = 4
substitute these values into (1)
x = 0 : y = - 2(0) + 3 = 0 + 3 = 3 ⇒ (0, 3 )
x = 4 : y = - 2(4) + 3 = - 8 + 3 = - 5 ⇒ (4, - 5 )
the 2 solutions are (0, 3 ) and (4, - 5 )
A semicircle with a diameter of 40 is cut from a 200 x 80 door. What is the area of the
door after the semicircle is cut out?
Answer:
15371.68
Step-by-step explanation:
First you need to find the area of the semi circle so for that you just have to find the area of a whole circle using the diameter and then divide it by two because it is a semicircle. The area of the semi circle is pi * 20^2 / 2 which equals 628.32. The all you have to do is subtract that from the area of the door which is 16000.
joseph ordered 17 yards of lumber to build a tree house. how many inches of lumber did he order?
Answer:
612 inches.
Step-by-step explanation:
1 yard = 36 inches.
17 * 36 =
Answer:
612 inches
Step-by-step explanation:
1 yard = 36 inches
17 yards = 36 × 17 = 612 inches
How long will it take to accumulate $1200
in an account, if you begin with $1000 and
the account pays 6% compounded
monthly?
Answer:
it will take 4 months
Step-by-step explanation:
What is 10x5721? This is for my math homework.
Answer: Seriously? It’s 57210
Step-by-step explanation:
Answer:
on the contray please help me with one of the questions idc which one
Step-by-step explanation:
answer is 57210
2(x+4)= -5x+1
Solve please
Answer:
x = -1
Step-by-step explanation: