The recursively defined function has a first term equal to 10 and a common difference of 4 is f(n) = 6 + 4n.
When a recursive procedure gets repeated, it's called recursion. A recursive is a type of function or expression stating some conception or property of one or further variables, which is specified by a procedure that yields values or cases of that function by constantly applying a given relation or routine operation to known values of the function.
We have first term = a = 10
And the common difference of d = 4
We have the formula for the t terms of a as 10 and d as 4
f(n) = a + (n - 1)d
f(n) = 10 + (n-1) x 4
f(n) = 10 + 4n - 4
f(n) = 6 + 4n
So, the defined function is f(n) = 6 + 4n.
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Fill in the blanks to explain what
happens between the two teams in
the beginning of the game.
The second point of the game is
scored by
Before getting
by Mateo and making a basket, Aren
takes a
in order to
The twins realize
stay
they need to
opponents if they are going to win.
their
Answer:
Step-by-step explanation:
You are building a new house. Your builder designs a beautiful foyer with a tiled 8-by-8 foot area constructed by one-foot square ceramic tiles. Upon inspection of the house, you notice that two of the one-foot tiles are cracked. If the cracks randomly occurred after the tile was laid, what is the probability that the two cracked tiles share a common edge with each other? In other words, the two cracked tiles are next to each other (but not diagonal)?
Answer:
0.0593, or 5.93%
Step-by-step explanation:
There are a total of 8 x 8 = 64 one-foot tiles in the foyer. Since two of them are cracked, there are 62 tiles that are not cracked.
To find the probability that the two cracked tiles share a common edge, we need to first determine the total number of pairs of adjacent tiles in the 62 remaining tiles. Each tile has four adjacent tiles (unless it is a tile on the edge of the foyer), so the total number of pairs of adjacent tiles is:
4 x (62 - 14) + 3 x 8 = 220
We subtracted 14 from 62 because there are 14 tiles on the edges of the foyer that only have three adjacent tiles, and we added 3 x 8 to account for the eight corner tiles that only have two adjacent tiles.
Next, we need to determine the number of ways that the two cracked tiles can be placed such that they share a common edge. There are 60 possible locations for the first cracked tile, and once it is placed, there are only 3 possible locations for the second cracked tile (it can only be placed in one of the three tiles adjacent to the first cracked tile). Therefore, the total number of ways that the two cracked tiles can be placed next to each other is:
60 x 3 = 180
Finally, we can calculate the probability by dividing the number of favorable outcomes (i.e., the number of ways that the cracked tiles can be placed next to each other) by the total number of possible outcomes (i.e., the total number of ways that the two cracked tiles can be placed):
P = 180/ (62 choose 2) = 180/ (62 x 61/2) = 0.0593 (approximately)
Therefore, the probability that the two cracked tiles share a common edge is approximately 0.0593, or 5.93%.
graph
y = -6
4x + y = 2
a 13 foot ladder is leaning against a wall. if the top slips down the wall at a rate of 1.25 ft/s, how fast will the bottom of the ladder be moving away from the wall when the top is 12 feet above the ground?
The top of the ladder is 12 feet above the ground, the bottom of the ladder will be moving away from the wall at a rate of 0.096 ft/s.
The question is: a 13 foot ladder is leaning against a wall. If the top slips down the wall at a rate of 1.25 ft/s, how fast will the bottom of the ladder be moving away from the wall when the top is 12 feet above the ground?
To answer this question, we can use the concept of right triangle geometry. We know that when the top of the ladder is 12 feet above the ground, the bottom of the ladder is 13 feet away from the wall.
We can use the Pythagorean Theorem to calculate the hypotenuse of this right triangle, which is the total length of the ladder. This will allow us to calculate the rate at which the bottom of the ladder is moving away from the wall.
The Pythagorean Theorem states that
a^2 + b^2 = c^2,
where a and b are the lengths of the legs of a right triangle, and c is the length of the hypotenuse.
In this case, a is 12 and b is 13.
Therefore,
122 + 132 = c^2, or c^2 = 169.
Therefore, c = 13.04 feet.
This is the total length of the ladder.
We now have the total length of the ladder, so we can calculate the rate at which the bottom is moving away from the wall.
Since we know the top is moving at a rate of 1.25 ft/s, and the total length of the ladder is 13.04 feet, the bottom must be moving at a rate of (1.25/13.04) = 0.096 ft/s.
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please help me solve this i’ll mark brainliest
In the given pairs of intersecting parallel lines, the measure of ∠MPQ=125°.
What are parallel lines?Parallel lines are coplanar infinite straight lines in geometry that never cross. In the same three-dimensional geometry, parallel planes are any planes that never cross. Curves with a fixed minimal distance between them and no contact or intersection are said to be parallel.
What are Corresponding angles?The angles created when a diagonal intersects two parallel lines are known as corresponding angles. According to the definition of corresponding angles, when two parallel lines cross a third one, the angles that are in the same relative location at each intersection are referred to as being corresponding angles to one another.
In this figure, ∠LMN=∠MPQ since they are corresponding angles
5x=3x+50
on solving, we get
x=25
Therefore, ∠MPQ= 125°
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Convert 1.19rads to degree
Answer:
68.2 degrees
Step-by-step explanation:
[tex]1.19\frac{180}{\pi }[/tex]
[tex]68.2[/tex] degrees
_______ is/are formed immediately after the union of sperm and ovum in the fallopian tube.
A Zygote is/are formed immediately after the union of sperm and ovum in the fallopian tube.
What is a zygote?A zygote is a cell formed when two gamete cells are fused by means of sexual reproduction. These cells contain a single set of chromosomes from both the father and the mother of the offspring. As a result, the zygote contains all of the genetic information required to create a completely new person. After the fertilization of the ovum by the sperm, the zygote is formed. The zygote will continue to divide into a multicellular embryo and eventually a fetus after fertilization has taken place.
The fusion of a sperm cell with an ovum in the fallopian tube leads to the formation of a zygote, which involves the combination of genetic material from both parents resulting in the creation of a single-celled zygote. This zygote then initiates the process of cell division and progresses into an embryo.
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What is a global firm? A) A firm that operates in one country and exports its goods and services to foreign countries. B) A firm that operates in more than one country and has a sales and marketing staff in those countries. C) A firm that operates in more than one country and captures R&D, production, logistical, marketing, and financial advantages not available to purely domestic competitors. D) A firm that sells its products and services across the world but restricts manufacturing to the home country. E) A firm that operates in more than one country but restricts the sale of its products to the home country.
The statement "A global firm is a firm that operates in more than one country and captures R&D, production, logistical, marketing, and financial advantages not available to purely domestic competitors." is the correct .
Therefore option C is correct.
What is a global firm?
A global firm is a company that operates in more than one country and has access to research and development, production, logistical, marketing, and financial advantages that are not available to purely domestic rivals.
Global companies have expanded beyond their home country's boundaries to capitalize on the advantages of global sourcing and production.
Global companies have a variety of advantages that pure domestic companies do not have.
The following are some of the benefits of global businesses:
They are able to take advantage of cost savings in various areas, such as lower labour costs or more efficient production processes.They have access to a broader market, which means they can sell more products and services.They have access to a wider pool of resources, which can help them develop and innovate faster.They can leverage their size and reach to negotiate more favourable contracts with suppliers, customers, and other stakeholders.In conclusion, a global firm is a firm that operates in more than one country and captures R&D, production, logistical, marketing, and financial advantages not available to purely domestic competitors.
Therefore option C is correct.
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The number of milligrams D(h) in a patient’s bloodstream h hours after the drug is injected is modeled by the following function D (h) =50e^-0.2h
Find the initial amount injected and the amount in the bloodstream after 7 hours. Round your answers to the nearest hundredth as necessary
The initial amount injected was 50 milligrams and after 7 hours, there are approximately 16.08 milligrams of the drug in the patient's bloodstream.
How to calculate initial amount injected and the amount in the bloodstream after 7 hours.The function that models the number of milligrams D(h) in a patient's bloodstream h hours after the drug is injected is:
D(h) = 50e^(-0.2h)
To find the initial amount injected, we can evaluate D(0):
D(0) = 50e^(-0.2*0) = 50e^0 = 50
Therefore, the initial amount injected was 50 milligrams.
To find the amount in the bloodstream after 7 hours, we can evaluate D(7):
D(7) = 50e^(-0.2*7) ≈ 16.08
Therefore, after 7 hours, there are approximately 16.08 milligrams of the drug in the patient's bloodstream.
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Please answer all three parts!!
The description of the transformations of the parent functions to produce the graphs of f(x) = sin(2x) and g(x) = csc(2x) are
a. The graphs of f(x) = sin(2x) and g(x) = csc(2x) are a horizontal compression by a factor of (1/2) of the graphs of y = sin(x) and y = csc(x).
b. 0, π/2, π, 3·π/2
c. 0, π/2, π, 3·π/2
What is the transformation of a function?A transformation of a function is an operation that changes the function's graph in some way.
a. The graph of f(x) = sin(2x) is obtained by taking the graph of sin(x) and horizontally compressing it by a factor of 1/2. This is because the argument of the sine function has been multiplied by 2, which causes the period of the function to be halved.
The graph of g(x) = csc(2x) is obtained by taking the graph of y = csc(x) and horizontally compressing it by a factor of 1/2. This is because the argument of the cosecant function has been multiplied by 2, which causes the period of the function to be halved.
b. The x-intercepts of the graph of f(x) = sin(2x) are the values of x for which f(x) = 0. Since sin(2x) = 0 when 2x is an integer multiple of π, we can find the x-intercepts by solving the equation 2x = n·π for x, where n is an integer. This gives us x = n·π/2. o four x-intercepts of the graph of f are x = 0, x = π/2, x = π, and x = 3·π/2.
c. The vertical asymptotes of the graph of the function g(x) = csc(2x) are the values of x for which g(x) is undefined. Since csc(2x) is undefined when 2x is an integer multiple of π, we can find the vertical asymptotes by solving the equation 2x = n·π for x, where n is an integer. This gives us x = (n·π)/2. So, four vertical asymptotes of the graph of g are x = π/2, x = 3·π/2, x = 5·π/2 and x = 7·π/2.
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The following shows a graph of y = x^2+ 5
Can we use this graph to find the solutions of 0 = c^2 + 5? Why or why not?
we can, now if we look at 0 = x² + 5, that's when the parabola y-value is 0, that is, what's "x" when y = 0? well, if we look at the graph, the graph never touches the x-axis, so that means the graph never has any "real roots", only complex ones or imaginary ones. We can tell because the graph never touches the x-axis.
A regular sized box of a certain cereal brand has dimensions of 2 inches by 6 inches by 11 inches and cost $3.99.
The family sized version has dimensions of 3 inches by 8 inches by 15 inches and cost $5.69.
A. How many more square inches of cardboard is needed for the family sized box than the regular sized box? Show your work.
B. How many more cubic inches of cereal fit in the family sized box than the regular sized box? Show your work.
C. Which cereal costs less per cubic inch of cereal? Show your work.
The family-sized box requires 130 more square inches of cardboard than the regular-sized box, has an additional 228 cubic inches of cereal capacity, and costs less per cubic inch of cereal.
According to the given data:To calculate the additional square inches of cardboard needed for the family-sized box, we need to find the difference in surface area between the regular-sized box and the family-sized box.
The regular-sized box has a surface area of 2 x 6 + 2 x 11 + 6 x 11 = 104 square inches.
The family-sized box has a surface area of 2 x 8 + 2 x 15 + 3 x 15 + 3 x 8 + 3 x 15 = 234 square inches.
Therefore, the additional square inches of cardboard needed for the family-sized box is 234 - 104 = 130 square inches.
B. To find how many more cubic inches of cereal fit in the family-sized box than the regular-sized box, we need to calculate the difference in volume between the two boxes.
The regular-sized box has a volume of 2 x 6 x 11 = 132 cubic inches.
The family-sized box has a volume of 3 x 8 x 15 = 360 cubic inches.
Therefore, the additional cubic inches of cereal that fit in the family-sized box is 360 - 132 = 228 cubic inches.
C. To determine which cereal costs less per cubic inch of cereal, we need to divide the cost of each box by its respective volume.
The regular-sized box costs $3.99 for 132 cubic inches of cereal, which gives us a cost of $0.03 per cubic inch.
The family-sized box costs $5.69 for 360 cubic inches of cereal, which gives us a cost of $0.02 per cubic inch.
Therefore, the family-sized box costs less per cubic inch of cereal.
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calculate breakeven w/ hidden costs, and no sponsorship number of tickets needed to break even for a run 315 323 331 ticket receipts needed to break even $7,592 $7,784 $7,977 average number of tickets needed to break even per show 79 65 56 break-even occupancy 88% 72% 62%
As per the given average, the solution of the breakeven w/ hidden costs is 62% higher.
Let's assume that the costs associated with running a 315-ticket run are $7,592. This means that on average, each ticket needs to sell for $24.10 (($7,592/315) = $24.10) to break even.
Similarly, if we consider the other two runs, we can calculate the average number of tickets needed to break even per show as follows:
For the 323-ticket run, the average number of tickets needed to break even per show is 65. (($7,784/323) = $24.10)
For the 331-ticket run, the average number of tickets needed to break even per show is 56. (($7,977/331) = $24.10)
Furthermore, we can calculate the break-even occupancy percentage for each run, which is the percentage of tickets that need to be sold to break even. The break-even occupancy for each run is as follows:
For the 331-ticket run,
=> 56/331 = 0.17 or 17%,
=> 1-0.17 = 0.83 or 83%,
=> 0.83/0.17 = 4.88,
=> 4.88 x 100% = 488%,
=> 488% x 0.62 = 303%,
=> 303%/4.88 = 62%
Hence the break-even occupancy is 62%.
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Does anyone have the answers to Edmentum's Unit 3 Post Test: Extending to Three Dimensions?
Extending to Three Dimensions depend on the specific questions asked and can be calculated using the formula for the volume of a three-dimensional object.
The answers to Edmentum's Unit 3 Post Test: Extending to Three Dimensions depend on the specific questions asked. Generally, the test covers topics such as the definition of three-dimensional objects, the properties of three-dimensional space, and the relationships between three-dimensional figures. For example, a question might ask how to calculate the volume of a rectangular prism. To answer this, one would need to calculate the area of each of the rectangles that make up the prism and then multiply them together to get the volume. For example, if the length of the prism is 4, the width is 3, and the height is 2, the volume of the prism would be 24 (4 * 3 * 2 = 24).
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answer two questions about the following rational division.
1. The quotient in lowest terms of the given rational division is (x+2)/(3x-9).
2. The values of r is A. x=-2 and B. x=0.
What is factor?Factor is a quantity which when multiplied by another quantity, produces a given product. Factors are used to simplify and solve equations, as well as in other areas of mathematics. Factors can be numbers, variables, and expressions.
To find the lowest terms, we must divide the numerator and denominator by the same number. The largest common factor of the numerator and denominator is 3. Dividing both the numerator and denominator by 3, we get (x+2)/(3x-9) = (x+2)/(x-3).
The values of r that must be excluded from the domains of the expressions are x=0 and x=3. x=0 must be excluded because it will create a zero in the denominator which is not allowed. x=3 must also be excluded because it will create a zero in the numerator, and thus make the entire expression equal to 0. Thus, the correct answer is A. x=-2 and B. x=0.
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Each dot in the following dot plot represents the height of one toddler at Mrs. Orlando's daycare.
Find the interquartile range (IQR) of the data in the dot plot.
Answer: 1.5
Step-by-step explanation:
The interquartile range (IQR) is a measure of statistical dispersion and is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). For the given dot plot data of the toddler's heights, the data would first be arranged in ascending order, then divided into two halves below and above the median to determine the first and third quartiles.
Explanation:To find the interquartile range (IQR) in the dot plot data of the toddler's heights at Mrs. Orlando's daycare, we first need to understand what the IQR represents. The Interquartile Range is a measure of where the bulk of the values lie in a data set. It's computed by subtracting the first quartile (Q1) from the third quartile (Q3).
As a first step, you would arrange the data points in ascending order. The median would give us the second quartile (Q2). The data set is then divided into two halves, below and above the median. The first quartile (Q1) is the median of the lower half and the third quartile (Q3) is the median of the upper half. Finally, subtract Q1 from Q3 to find the IQR.
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Please help me find the Surface Area and Volume of this triangular prism
Surface area
2 triangles: Just do bh instead of 1/2bh, bh = 8 * 3 = 24
2 rectangles: 2bh but we first need to find h. The altitude pictured by dotted line, creates a right triangle where its hypotenuse is h. Since it also has side lengths 3 and 4, h = 5 (by pythag triplets). Then, 2bh = 2 * 12 * 5 = 120
base: bh = 12 * 8 = 96
Adding these areas we have 24 + 120 + 96 = 240
Volume: Bh (big b signifies area of the base)
B = area of the triangle = 1/2bh = 1/2 * 8 * 3 = 12
So Bh = 12 *12 = 144
Hope this helps you understand the process.
A refrigerator magnet uses 5/8 inch of magnetic tape. How many refrigerator magnets can you make with 9 3/8 inches of magnetic tape? Explain.
Answer:
To find how many refrigerator magnets can be made with 9 3/8 inches of magnetic tape, we need to divide the total length of magnetic tape by the length of magnetic tape used for each magnet.
First, we need to convert the mixed number 9 3/8 to an improper fraction:
9 3/8 = (9 x 8 + 3)/8 = 75/8
Next, we divide 75/8 by 5/8 to find how many magnets can be made:
(75/8) ÷ (5/8) = (75/8) x (8/5) = 15
Therefore, 15 refrigerator magnets can be made with 9 3/8 inches of magnetic tape.
a hybrid vehicle has a mileage rating of 22 km/l. what is the gas mileage in miles per gallon? (given: 1 mi
To convert kilometers per liter to miles per gallon, we need to use conversion factors. There are approximately 3.785 liters in a gallon, and there are approximately 1.609 kilometers in a mile.
So, first we convert the fuel efficiency of the hybrid vehicle from kilometers per liter to kilometers per gallon:
1 km/liter * 3.785 liters/gallon = 3.785 km/gallon
Then, we convert kilometers per gallon to miles per gallon:
3.785 km/gallon * 1 mile/1.609 km = 2.35 miles/gallon
Therefore, the gas mileage of the hybrid vehicle is approximately 2.35 miles per gallon.
It's worth noting that the mileage rating of a hybrid vehicle can vary depending on factors such as driving conditions and habits, so the actual gas mileage may differ from the stated rating. Additionally, the conversion factors used here are approximate, so the exact gas mileage may vary slightly depending on the specific conversion factors used.
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Angels family is driving to their grandmothers house, which is 325 miles away.
After they drive 26 miles, what percent of the distance have they traveled?
Answer:
8%
Step-by-step explanation:
[tex]= .08[/tex]
This is the answer as a decimal. To change a decimal to a perfect multiply the decimal by 100%
[tex].08 \times 100\% = 8\%[/tex]
Find the new y-intercept by writing an equation in slope-intercept form that
is parallel to the line y = -3x + 8 and goes through the point (5, 3).
Answer:
y- intercept = 18
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 8 ← is in slope- intercept form
with slope m = - 3
• Parallel lines have equal slopes , then
y = - 3x + c ← is the partial equation
to find c substitute (5, 3 ) into the partial equation
3 = - 3(5) + c = - 15 + c ( add 15 to both sides )
18 = c
y = - 3x + 18 ← equation of parallel line
with y- intercept c = 18
how to determine if we can apply the existence and uniquness theorem to guarantee that there is exactly one unique soltuion
The Existence and Uniqueness Theorem states that if a system of linear equations has a unique solution, then the solution can be found by solving the associated augmented matrix.
To determine whether a system of linear equations has a unique solution, the number of equations must equal the number of unknowns. Additionally, the equations must not be linearly dependent. If these criteria are met, then the Existence and Uniqueness Theorem guarantees that there is exactly one unique solution.
To illustrate, consider the system of equations:
x1 + x2 - x3 = 2
2x1 - x2 + 2x3 = 8
3x1 + 2x2 - 4x3 = 0
= 4. Therefore, the Existence and Uniqueness Theorem guarantees that there is exactly one unique solution for this system.
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If p, q are natural numbers and ε is a positive real number, show that for some natutal number Nn ≥ N and n ∈ N ⇒ |p/n − q/n| < ε.
Conclusion
Therefore, for some natural number N, n ≥ N and n ∈ N implies |(p - q)/n| < ε.
To show that for some natural number N, n ≥ N and n ∈ N implies |p/n - q/n| < ε, we'll use the Archimedean property of real numbers. The Archimedean property states that for any positive real numbers a and b, there exists a natural number n such that n*a > b.
Let's consider the inequality we want to prove: [tex]|p/n - q/n| < ε.[/tex]
Step 1: Rewrite the inequality
First, we can rewrite the inequality as |(p - q)/n| < ε, since we are allowed to combine the fractions.
Step 2: Apply the Archimedean property
By the Archimedean property, we know that for any ε > 0, there exists a natural number N such that N > (p - q)/ε.
Step 3: Rearrange the inequality
We can rearrange the inequality from step 2 to get[tex] N*ε > p - q. [/tex]
Step 4: Divide by N
Now, divide both sides of the inequality by N to get [tex]ε > (p - q)/N.[/tex]
Step 5: Relate this to our original inequality
We want to show that |(p - q)/n| < ε for some n ∈ N, where n ≥ N. Since n ≥ N, and ε > (p - q)/N, we have ε > (p - q)/n for n ∈ N and n ≥ N
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Divya has $45 to spend on movie tickets. If each movie ticket is $14 and he pays $1 in tax, how much money does Divya have left over?
Answer:$30
Step-by-step explanation:
45-14=31
31-1=30
so the answer is 30
hope this helps
Polygon D has been dilated to create polygon D′.
Determine the scale factor used to create the image.
Scale factor of 1.6
Scale factor of 1.2
Scale factor of 0.8
Scale factor of 0.6
The scale factor between polygon D and polygon D' is 1.67.
What is dilation transformation?Dilation is a transformation in mathematics that alters a geometric figure's size while preserving its form and proportions. Enlargement or scaling are other names for it. Dilation can be achieved by multiplying each point's coordinates in a figure by a fixed number known as the scale factor. A figure is expanded when the scale factor is more than 1, and it is shrunk when it is between 0 and 1. Calculating ratios of areas or volumes, describing the relationship between like figures, and modelling real-world situations are all examples of how dilation is utilised in many different branches of mathematics, including geometry, algebra, and calculus.
The scale factor is given as:
scale factor = dimension of D' / dimension of D
Substituting the values:
scale factor = (8 / 4.8) = 1.67
Hence, the scale factor between polygon D and polygon D' is 1.67.
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Answer:
A 1.6
Step-by-step explanation:
PLX SIMPLIFY -2.6+3.9b
Answer: 3.9b−2.6
Step-by-step explanation: Hope this helps
Answer:
1.3b
Step-by-step explanation:
The equation is -2.6+3.9b. A negative number acts like subtraction, so we would subtract 2.6 from 3.9 to get 1.3. The b is still there, and we don't know what it is, so we simplify the equation to 1.3b.
Sorry, this explanation isn't the best. Hope it helped! :)
solve for x 144/25=x/5
Answer:
Step-by-step explanation:
144/25=x/5
times both sides by 5
144/5=x
simplify
x=144/5 or 28.8
Answer: x= 144/5
Step-by-step explanation:
Cross-Multiply
144/25 = 25x
Swap the sides so you can solve
720 =25x
Divide both sides
25x=720
x=144/5
suppose that 65% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. consider groups of 17 trucks and let x be the number of trucks in a group that have passed the inspection. what is the probability that at least 9 but fewer than 12 trucks pass the inspection?
There is a 55.75% probability that at least 9 but fewer than 12 trucks pass the inspection out of a group of 17 trucks undergoing a brake inspection at the inspection facility with a pass rate of 65%.
We can utilize the binomial distribution formula to resolve this issue. Out of a group of 17 trucks, let X represent the proportion of trucks that pass the inspection, and let p represent the probability of passing the test, which is 0.65. A binomial distribution with n = 17 and p = 0.65 is then followed by X.
Calculating the cumulative chance of receiving 9, 10, or 11 trucks passing the inspection can help us determine the likelihood that at least 9 but fewer than 12 trucks will pass the test. The binomial distribution formula can be used for this as follows:
P(X=9, X=10, X=11) = P(X=9, X=10, X=11)
Using the binomial distribution formula, we can get the probabilities for each of the following:
[tex]P(X=9) = (17 pick 9) (17 choose 9) * 0.65^9 * 0.35^8[/tex] = [tex]0.1837 \sP(X=10)[/tex] = [tex](17 select 10) (17 choose 10) P(X=11)[/tex] = [tex](17 select 11) * 0.65*10 * 0.35*7[/tex] = [tex]0.2197 * 0.65*11 * 0.35*6 = 0.1541[/tex]
In light of this, the likelihood that at least 9 but not all 12 vehicles pass the inspection is:
P(9 ≤ X < 12) = 0.1837 + 0.2197 + 0.1541 = 0.5575
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amy has 3 pound of raisins she didvides the raisins equaly into 12 bags how much puonds of rasins are in each bag :show your work
Answer:
May will have 0.25 pounds per bag.Step-by-step explanation:
We know that
Amy has 3 pounds of raisins.She wants to divide it into 12 bags.To now how many pounds will be in each bag, we have to divide
[tex]3 \ lb \div12 \ bags =0.25 \ lb/bag[/tex]
This means that May will have 0.25 pounds per bag, that is, a quarter pound of raisin in each bag.
If we divide this using the long method, we would have to add a zero to "3", because 3 is less than 12, so we have to transform it from "3" to "30". To be able to do that, we have to add a decimal point to the quotient, and then continue with the division.
the standard deviation represents a , while the standard error of the mean represents a . a. law of large numbers:central limit theorem b. population:sample c. sample:population d. central limit theorem:law of large numbers
The standard error of the mean represents a sample, while the standard deviation represents a population. The correct option is (c) sample; population
The standard error of the mean is a measure of the variability of sample means from multiple samples, while the standard deviation is a measure of the variability of individual data points from the mean of a single sample or population.
The standard error of the mean helps us estimate the accuracy of the sample mean as an estimate of the true population mean, while the standard deviation gives us an idea of how much the data points deviate from the mean. In statistics, it is important to distinguish between these two measures to properly interpret data and draw meaningful conclusions.
Therefore, the correct option is (c) sample; population
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The given question is incomplete, the complete question is:
The standard error of the mean represents a ___, while the standard deviation represents a _______.
a. law of large numbers; central limit theorem
b. population; sample
c. sample; population
d. central limit theorem; law of large numbers