Mrs. Holmes’s physics class uses 3D-printing software to create miniature bridges that can hold at least 5 pounds. Teams will print multiple parts of the bridges and then assemble the parts. One team wants at least 6 inches between the bridge's upper and lower rail. The lower rail of the bridge contains points (2, 10) and (16, 3). Will the bridge meet the team's specifications if the upper rail contains points (5, 1)? If yes, how far apart are the rails? Let every unit represent an inch. Round your answer to the nearest hundredth, if needed.
Answer:
I litteraly have the same problem and no clue how to do I
Step-by-step explanation:
1)
If A is an m x n matrix and B is an n x r matrix, then the product C = AB is:
Group of answer choices
a) Undefined
b) An m x r matrix
c) An m x m matrix
d) An n x n matrix
2) A sequence {Xn} of state matrices that are related by the equation Xk+1 = PXk where P is a stochastic (probability) matrix is called a _______.
3) In Hypothesis testing, each level of significance α has a critical value C that determines the __________ for H0.
The answer to given statements are
1. the correct answer is b) An m x r matrix.
2. Markov chain
3. rejection region
1. The product C = AB of an m x n matrix A and an n x r matrix B will result in an m x r matrix.
Therefore, the correct answer is b) An m x r matrix.
2. A sequence {Xₙ} of state matrices that are related by the equation Xk+1 = PXk, where P is a stochastic (probability) matrix, is called a Markov chain.
3. In hypothesis testing, each level of significance α has a critical value C that determines the rejection region for H0.
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what is \(32.90x7.5=\) =
josh+is+purchasing+a+$360,000+house+and+needs+to+obtain+a+$280,000+loan+to+close+on+the+property.+how+much+will+josh+pay+as+a+loan+origination+fee+if+the+lender+charges+a+fee+of+0.75%?
Josh will pay a loan origination fee of $2,100 if the lender charges a fee of 0.75%.
To calculate the loan origination fee, we need to multiply the loan amount by the lender's fee percentage.
Loan origination fee = Loan amount x Lender's fee percentage
In this case, the loan amount is $280,000 and the lender's fee percentage is 0.75%.
Loan origination fee = $280,000 x 0.0075
Loan origination fee = $2,100
Therefore, Josh will have to pay a loan origination fee of $2,100.
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covert 101.011 base two to base 10
Answer:
5.375 small 10 down by 5 at the end dont know how to do small numbers
Step-by-step explanation:
number: 101.011
frome: binary [base-2]
To: decimal [base-10]
If lindley requests an extension to file her individual tax return in a timely manner, the latest she could pay her tax due without penalty is::_________
If Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is April 15th.
What is an individual tax return?A person or married couple must submit an official form known as an individual tax return to a federal, state, or local taxing authority in order to record any taxable income they received within a certain time period, typically the previous year.
This document is used to determine how much tax was paid in excess of what was required during that time period.
In this case, if Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is April 15th.
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If Lindley requests an extension to file her individual tax return, the latest she could pay her tax due without penalty is:
April 15th.
October 15th.
August 15th.
November 15th.
None of the choices are correct.
the mathcounts international airport had 738,114 departures in 2001. if these were distributed uniformly throughout each 24-hour period, what is the mean number of seconds between each departure time? express your answer to the nearest whole number.
The MATHCOUNTS International airport had the mean number of seconds between departure time of 43 seconds in 2001.
For given question,
In 2001 there were 738,114 departures.
As we can see, 2001 was not a leap year.
So, the number of days in 2001 = 365
We find the number of departures per day in 2001.
738,114 / 365 = 2,022.23
So, approximately 2,022 departures per day.
Now we find the number of departures in an hour.
2,022 / 24 = 84.25
This means, approximately 84 departures per hour
We know that, 1 hour = 3,600 seconds
Now we find the mean number of seconds between departure time.
3,600 / 84 = 42.8
≈ 43 seconds
Therefore, the MATHCOUNTS International airport had the mean number of seconds between departure time of 43 seconds in 2001.
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Can someone please help me ASAP?? It’s due tomorrow!! I will give brainliest If It’s correct.
Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:
A. Perpendicular to the base: Rectangle
B. Parallel to the base: Triangle with dimensions equal to the base
C. Diagonal from vertex to vertex: Triangle with unknown dimensions
y = kx
In the equation, what does "k" represent?
Answer: it’s the number that stays the same
Step-by-step explanation: ex. y = 24(6x)
The town of springfield, usa has a population of 990099009900 people. The population is growing at a rate of 2. 3\%2. 3%2, point, 3, percent each year. Which expression gives the town's population 555 years from now?.
The expression that gives the town's population 555 years from now can be calculated using the following formula:
Population (t) = Population (0)×\((1+growth rate)^{t}\)
Where t is the time period, in this case 555 years, Population (0) is the initial population, and Growth Rate is the rate of growth, in this case 2.3%.
Plugging in the values, the expression giving the town's population 555 years from now is:
990099009900 × \((1+0.023)^{555}\)
This expression gives a population of 236793241036.6 people, which is the estimated population of the town of Springfield, USA 555 years from now.
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Select all expressions that are equivalent to -4(x + 2) - 2x + 4.
A. -6x - 4
B. -4x + 2 - 2x + 4
C. -10x
D. -4x + -8 - 2x + 4
E. -4x - 2x - 8 + 4
Answer:
=>A. -6x - 4
Step-by-step explanation:
=>-4(x + 2) - 2x + 4
=> -4x-8-2x+4
=> -6x-4
how many participants would be needed for a within-subjects experiment comparing four different treatment conditions with a total of 20 scores in each treatment?
The number of participants that would be needed for a within-subjects experiment is 80.
What is an experiment?An experiment simply means a research that's conducted in order to get information about a particular thing.
In this case, we want to know the number of participants that will be neeed within-subjects experiment comparing four different treatment conditions with a total of 20 scores in each treatment.
This will be:
= Number of scores × Number of treatment
= 20 × 4
= 80
The participants needed are 80.
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Help plz
Solve for f.
4(f + 2) = 16
Answer:
2
Step-by-step explanation:
4(f+2)=16
4f+8=16
4f=8
f=8/4
f=2
Classify each number as rational or irrational. Choose the correct response from the drop-down menus.
Choose...
0.325
Choose...
0.4562345...
Choose...
V50
Choose...
14
2
Choose...
Answer:
0.325
Step-by-step explanation:
i don't get the question sorry...
rational
rational
irrational
irrational
irrational
which expression is equivalent to 4√8/3√2
Answer:
8/3
Step-by-step explanation:
The square root of 8 can actually be written \(2\sqrt2\), so \(4\sqrt2 = 4 \cdot 2\sqrt2 = 8\sqrt2\)
Now, we are looking for \(\frac{8\sqrt2}{3\sqrt2}\). Both the square root of 2s cancel, so we are left with 8/3
Evaluate the given expression an 44P2 44P2=0
The given expression of an \({ }^{44} P_2\) is 1892.
The given expression is \({ }^{44} P_2 & =\)0
\({ }^{n} P_r\):-
It serves to represent permutation.The grouping of the pieces into a certain sequence or order is known as a permutation.There are n ways to arrange each of the r things in a set of n objects.\({ }^{n} P_r=\)\(\frac{n !}{(n-r) !} \\\)
where
n = total number of thingsr = number of things that have to be selected and arranged.In the nPr formula, the letter "P" stands for "permutation," which is another word for "arrangement." The nPr formula calculates the number of possible combinations for choosing and arranging r items from the given n items.
Let's imagine that r various objects should be chosen and organised among n different objects. Let's explore some options for how to accomplish this.
Since there are n total objects, there are n methods to select the first one.
The number of options for selecting the second thing is limited because the first object has already been selected (n - 1).
Similar to how there are numerous ways to select the third item (n - 2).
While choosing the \(r^{th}\) object, there are only (n - r + 1) objects are left and hence it can be chosen in (n - r + 1) ways.
\({ }^{44} P_2 & =? \\\\P(n, r) & =\frac{n !}{(n-r) !} \\\\44 P_2 & =\frac{44 !}{(44-2) !} \\\\& =\frac{44 \times 43 \times 421}{421} \\\)
=44×43
=1892
\({ }^{44} P_2=\)1892
Therefore, the value of \({ }^{44} P_2\)=1892.
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Write down two factors of 24 that are primenumber
the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.
There are no factors of 24 that are prime numbers. A factor of a number is a whole number that divides that number without leaving a remainder. Prime numbers, on the other hand, are numbers that are divisible only by 1 and themselves, and cannot be expressed as the product of any other numbers.
The prime factors of 24 are 2, 2, and 3. We can factorize 24 as 2 × 2 × 2 × 3 or 2^3 × 3. Here, 2 and 3 are both prime numbers, but they are not factors of 24 in isolation. They are only prime factors of 24 when combined in the manner shown.
This fact highlights an important concept in number theory: the uniqueness of prime factorization. Every composite number can be expressed as a unique product of prime numbers. This fundamental theorem of arithmetic is crucial in many areas of mathematics, including cryptography, where it is used to secure communications and protect sensitive information.
In summary, there are no factors of 24 that are prime numbers. However, the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.
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The length of a rectangle is 3 less than twice the width. Determine how the area will change if the length of the rectangle is increased by 5 and the width is decreased by 2. Show your work.
The change in the area is represented by the expression ΔA = 9 · x + 4, where x is the original width of the rectangle.
What is the change in the area of the rectangle if side lengths are changed?
By geometry we know that the area of a rectangle is equal to the product of its width (x) and length (y). Based on the statement, the original rectangle is equal to:
A = x · y
A = x · (2 · x - 3)
And the change in the area is:
A + ΔA = (x + Δx) · (y + Δy)
A + ΔA = x · y + Δx · y + Δy · x + Δx · Δy
ΔA = Δx · y + Δy · x + Δx · Δy
ΔA = (2 · x - 3) · Δx + Δy · x + Δx · Δy
ΔA = 2 · (2 · x - 3) + 5 · x + 10
ΔA = 9 · x + 4
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The equation of circle D is (x + 2)2 + y² = 32.
Select all the points that lie on circle D.
□ (-6,-4)
□ (-2,16)
□ (-4,6)
□ (0,14)
□ (2,4)
The equation of circle D is (x + 2)2 + y² = 32 then the points (-6,-4) and (-4,6) lie on circle D
The equation of a circle with center (h,k) and radius r is (x - h)² + (y - k)² = r².
This is called the standard form of the equation of a circle.
In the given equation, (x + 2)² + y² = 32, we can see that the center of the circle is (-2, 0) and the radius is √32 = 4√2.
To determine which points lie on the circle, we substitute the x and y coordinates of each point into the equation and check if the equation is true.
If it is true, then the point lies on the circle.
Let us check if (-6, -4) lies on the circle, we substitute x = -6 and y = -4 into the equation:
(-6 + 2)² + (-4)² = 32
(-4)² + (-4)² = 32
16 + 16 = 32
32 = 32
Since the equation is true, (-6, -4) lies on the circle.
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would lecture notes collected during your bachelor degree study; be a type of date?
No, lecture notes collected during a bachelor degree study are not a type of date. Lecture notes are a collection of the notes taken by a student during the lectures in the course of their bachelor degree study.
They are not the same as dates, which are the specified days on which something happens or is planned to happen. Lecture notes are usually written in the form of summaries of a lecture, which are usually made up of the important points that the student has noted down during the lecture.
They may also include diagrams, equations, and other visual aids that the student has used to illustrate the material covered. Lecture notes are not the same as dates, as they are not related to any specified days. They are simply summaries of the lecture topics discussed by the professor in the course of the student’s bachelor degree study.
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The area of the base of this trapezoidal prism is 15 square units and the width is 8. What is the volume?
Enumere Cuatro Fuentes de Corriente continua
Answer:
La corriente continua es producida por fuentes como baterías, termopares, celdas solares y máquinas eléctricas de tipo conmutador de tipo dínamo. La corriente continua puede fluir en un conductor como un cable, pero también puede fluir a través de semiconductores, aislantes o incluso a través de un vacío como en los haces de electrones o iones. espero que esto te ayude
what is the population being studied warts
The average population being studied is people with warts. Specifically, this population includes individuals of all ages who have been diagnosed with any type of wart caused by a virus, such as common warts, plantar warts, and flat warts.
The population being studied is people with warts. Warts are caused by a virus and can occur anywhere on the body. Common warts, plantar warts, and flat warts are the most common types. Common warts are usually found on the hands and fingers, and are usually round and raised. Plantar warts are found on the soles of the feet and can be painful. Flat warts are usually found on the face, arms, and legs, and are generally flat and smooth. People of all ages can be affected by warts, and they are highly contagious and can be spread through contact with an infected person or surface. Treatment options include over-the-counter medicines and prescription medications, as well as cryotherapy and laser treatments. This population is being studied to better understand the causes, risk factors, and treatments for warts.
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The complete question is
what is the population being studied warts and the prevalence of warts in the population being studied?
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.
1. What is P(A B)?
2. What is P(A | B)?
3. Is P(A | B) equal to P(A)?
4. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?
5. What general conclusion would you make about mutually exclusive and independent events given the results of this problem?
1) The value of P(A∩B) = 0.
2) The value of P(A|B) = 0.
3) P(A|B) is not equal to P(A). A and B are independent events.
4) The statement "Mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent." is not accurate.
5) We can conclude that mutually exclusive events have a probability of intersection of zero and are not independent.
1) Since A and B are mutually exclusive, they cannot occur at the same time, so P(A∩B) = 0.
2) The conditional probability of A given B is defined as the probability of A occurring given that B has occurred. Since A and B are mutually exclusive, if B has occurred, then A cannot occur. Therefore, P(A|B) = 0.
3) No, P(A|B) is not equal to P(A). Since B has occurred, the sample space has been reduced to only those outcomes in which B has occurred. Therefore, the probability of A given that B has occurred can only be determined from the portion of the sample space in which both A and B occur.
However, since A and B are mutually exclusive, this probability is zero. Therefore, P(A|B) ≠ P(A).
4) The statement is not accurate. Mutually exclusive events and independent events are different concepts. Two events are mutually exclusive if they cannot occur at the same time, whereas two events are independent if the occurrence of one event does not affect the probability of the other event.
If two events are mutually exclusive, they are not independent because the occurrence of one event precludes the occurrence of the other event.
5) Mutually exclusive events have a relationship where if one event occurs, the other cannot. In contrast, independent events are events where the occurrence of one event does not affect the probability of the other event occurring.
Therefore, we can conclude that mutually exclusive events and independent events are not the same concept, and we must be careful not to confuse them.
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a color printer prints 15 pages in 6 minutes how many minutes does it take per page
Answer:
The cooler printer takes 0.4 minutes to print each page.
Step-by-step explanation:
6÷15
The sum of two consecutive Integers is 123. What is the smallest of the two integers?
Answer:
Step-by-step explanation:
n + (n+1) = 123
2n+1 = 123
n = 61
simplify [2/x²-5x+6] - [5/x-2]
Answer
When simplified, the answer is
\(\frac{-5x+17}{x^2-5x+6}\)Explanation
[2/x² - 5x + 6] - [5/x - 2]
\(\frac{2}{x^2-5x+6}-\frac{5}{x-2}\)To solve this, we need to first factorize x² - 5x + 6
x² - 5x + 6
= x² - 3x - 2x + 6
= x (x - 3) - 2 (x - 3)
= (x - 3) (x - 2)
So, we can rewrite the question, and then take an LCM
\(\begin{gathered} \frac{2}{x^2-5x+6}-\frac{5}{x-2} \\ \frac{2}{(x-3)(x-2)}-\frac{5}{x-2} \end{gathered}\)We will then take the LCM
\(\begin{gathered} \frac{2}{(x-3)(x-2)}-\frac{5}{x-2} \\ =\frac{2-5(x-3)}{(x-3)(x-2)} \\ =\frac{2-5x+15}{(x-3)(x-2)} \\ =\frac{-5x+17}{(x-3)(x-2)} \\ =\frac{-5x+17}{x^2-5x+6} \end{gathered}\)Hope this Helps!!!
write the equation of the line in fully simplified slope-intercept form.
Answer:
y= -×+3
Step-by-step explanation:
y=mx+b where m is the slope and b is the y intercept
Answer:
12 squares at the top
9 squares at the bottom
which means the answer is 12 by 9
Step-by-step explanation:
count the squares
-
If y varies inversely as the square of , and Y =4/63 when x=3 find y when x=5
Answer: 20/189
Step-by-step explanation: Y is proportional to x which states that 4/63 is proportional to 3 so when x=5 then it will be 5*4/63/3=20/63/3=20/63*1/3=20/189
Nate has 4 1/3 yards of fabric. He uses 2.5 yards of fabric to make a pillow. How much fabric does he have left?
Answer:
1 5/6 yards of fabric.
Step-by-step explanation:
4 1/3 = 13/3
2.5 = 5/2
13/3 - 5/2 = \(\frac{26-15}{6} = 11/6\)