Sherie can ensure that the frame's corners will be right angles by using the Pythagorean theorem to measure the diagonals of the frame. If the diagonals are equal in length, then the corners will be right angles.
To explain the process in detail, Sherie can follow these steps:
1. Start by laying out the stretcher bars in the shape of a rectangle, with two bars parallel to each other forming the longer sides and the other two bars parallel to each other forming the shorter sides.
2. Take a ruler and measure 12 inches along one of the longer sides, and mark that point.
3. From the marked point, measure 9 inches along one of the shorter sides, and mark that point as well. This creates a right angle.
4. Now, measure the distance between the two marked points. This will be the length of one of the diagonals of the frame.
5. Next, measure the distance between the other two corners of the frame. This will be the length of the other diagonal of the frame.
6. Finally, compare the lengths of the two diagonals. If they are equal, then the corners of the frame will be right angles.
By using the Pythagorean theorem (a^2 + b^2 = c^2), where 'a' and 'b' are the lengths of the sides of the rectangle, and 'c' is the length of the diagonal, Sherie can ensure that the frame's corners are right angles.
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Rewrite the following system of equations so that both equations are in slope-intercept form. 6x + 4y = 4
12y = -3x + 2
Answer:
ok so the answer is:
6x + 4y= 4 ---> y = -3/2x + 1
12y = -3x + 4 ---> y = -1/4x + 1/6
happy to help!
Shaan walks 2.5 meters per second. His brother Dhvan walks 1 meter
per second. Dhvan wants to have a race. Shaan knows that he walks faster,
but he wants to give his brother a head start of 45 meters, so it doesn't
seem that he is allowing him to win. How many meters long should the
race be in order for Dhvan to win?
Answer:
The race must be up to 29 meters for Dhvan to win.
Step-by-step explanation:
Since Shaan walks 2.5 meters per second, while his brother Dhvan walks 1 meter per second, and Dhvan wants to have a race, and Shaan knows that he walks faster, but he wants to give his brother a head start of 45 meters, so it doesn't seem that he is allowing him to win, to determine how many meters long should the race be in order for Dhvan to win the following calculation must be performed:
45 / (2.5 - 1) = X
45 / 1.5 = X
30 = X
Therefore, the race must be up to 29 meters for Dhvan to win.
1. A map has a scale of 2cm=2m. What is the scale factor? 2. And a map has a scale of 4in=3ft. What is the scale factor? Please help it is due tomorrow and I will give brainliest and step by step please or no brainliest.
1. Using the scale of 2cm = 2m the scale factor is
1/1002. And a map has a scale of 4in =3ft the scale factor is
1/9How to determine dimensions using scale factorsInformation gotten from the question
1. A map has a scale of 2cm =2m
2. And a map has a scale of 4in=3ft
Scale factors refer to the amount or the factor the image on a map was increased or reduced in comparison with the actual dimension of the image
A map has a scale of 2cm =2m
conversion of units
2m = 200cm
so if
2cm represents 200cm
the scale factor is 1/100
A map has a scale of 4 in = 3 ft
conversion of units
3ft = 36 in
so if
4 in represents 36 in
the scale factor is 1/9
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Suppose you live in a country with a proportional tax system. you make $20,000 a year and pay $5,000 in taxes. your friend makes twice as much money as you. what amount can your friend expect to pay in taxes this year? $2,500 $5,000 $10,000 $20,000
Answer:
10,000
Step-by-step explanation:
Tbh this was pretty simple. If he makes twice the money as you, he pays twice as much too. Meaning he makes 40k a year and pays 10k for taxes
Sara draws the 2 of hearts from a standard deck of 52 cards. Without replacing the first card, she then proceeds to draw a second card.
a. Determine the probability that the second card is another
2. P(2 | 2 of hearts) =
b. Determine the probability that the second card is another heart.
P(heart 2 of hearts) =
C. Determine the probability that the second card is a club.
P(club 2 of hearts) =
d. Determine the probability that the second card is a 9.
P(9 | 2 of hearts) =
The probability of P(2 | 2 of hearts) is 1/51, P(heart | 2 of hearts) is 12/51, P(club | 2 of hearts) is 13/51 and P(9 | 2 of hearts) is 4/51.
Since Sara did not replace the first card, there are now only 51 cards left in the deck, and only one of them is the 2 of hearts. Therefore, the probability that the second card is another 2 is
P(2 | 2 of hearts) = 1/51
After drawing the 2 of hearts, there are now 12 hearts left in the deck out of 51 cards. So the probability that the second card is another heart is
P(heart | 2 of hearts) = 12/51
Similarly, there are 13 clubs left in the deck out of 51 cards. So the probability that the second card is a club is
P(club | 2 of hearts) = 13/51
There are four 9s left in the deck out of 51 cards. So the probability that the second card is a 9 is
P(9 | 2 of hearts) = 4/51
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2
Which expression is equivalent to
what is the value of the t score for a 99.8% confidence interval if we take a sample of size 5? group of answer choices
the t-score for a 99.8% confidence interval with a sample size of 5 is 4.604.
The t-score for a 99.8% confidence interval with a sample size of 5 can be found using a t-distribution table or calculator.
Since we have a sample size of 5, the degrees of freedom (df) will be n - 1 = 4.
From the t-distribution table or calculator, the t-score for a 99.8% confidence interval with 4 degrees of freedom is approximately 4.604.
Therefore, the t-score for a 99.8% confidence interval with a sample size of 5 is 4.604.
the complete question is :
what is the value of the t score for a 99.8% confidence interval if we take a sample of size 5?
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no links or files please, i just need the answers.. (Worth 25 points)
Answer:
A ,D , F
Step-by-step explanation:
A) x-3=0 , x=3
B 1+x=2 , x=2-1=1 , x=1
C 9-x=3 , x=9-3=6 , x=6
D) 6=2x , x=6/2=3 , x=3
E (1/5)x=3 , x=3*5=15 , x=15
F) x^2=9 x=√9 , x=3
you have 4 math books, 5 history books, and 2 science books. how many ways are there to arrange the books on a book shelf?
There are 5,760 ways to arrange the books on the bookshelf.
A permutation is an ordered arrangement of objects, and it can be calculated as follows:
ⁿPₓ = n! / (n - x)!
where n is the total number of objects and r is the number of objects that we are arranging.
To determine the total number of ways in which we can arrange the books on a bookshelf, we need to first calculate the total number of possible arrangements. We can do this by using the fundamental principle of counting, which tells us that the total number of possible arrangements is equal to the product of the number of ways in which each book can be arranged.
Therefore, the total number of possible arrangements can be calculated as follows:
Total number of possible arrangements = Number of ways to arrange math books × Number of ways to arrange history books × Number of ways to arrange science books
In our case, we have 4 math books, 5 history books, and 2 science books, so we can calculate the number of permutations for each type of book as follows:
Number of ways to arrange math books = ⁴P₄ = 4! / (4-4)! = 4! / 0! = 24
Number of ways to arrange history books = ⁵P₅ = 5! / (5-5)! = 5! / 0! = 120
Number of ways to arrange science books = ²P₂ = 2! / (2-2)! = 2! / 0! = 2
Now, we can substitute these values in the formula for the total number of possible arrangements:
Total number of possible arrangements = 24 × 120 × 2 = 5,760
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solve the equation
2(h-8) - h=h - 16
A h = 8
B h= -8
C h = infinitely many solutions
D h = no solution
Answer:
2(h-8)-h=h-16
2(h-8)=h+h-16
2(h-8)=2h-16
2(h-8)=2(h-8)
h-8=h-8
h-h=8-8
0=0 so their can be infinite value of h.
hence c is correct
we can put in place of anything but answer will be zero.
Answer:
C h= infinitely many solutions
Step-by-step explanation:
when you replace h with any number it is true
say h= 3
2(3-8) - h = h-16
2(-5) - 3 = 3 - 16
-10 - 3 = -13
-13 = -13
using distributive property:
2h-16-h = h-16
combine like terms
h-16=h-16
it is the same expression on both sides of the equal sign
hope that helps!
which graph shows the solution to the system of linear equations?
y=-1/3x+1
y=-2x-3
y = -1/3x + 1
y = -2x - 3
We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.
The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.
The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.
Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.
Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.
Stefan just measured himself and found out he is 73.2 inches tall. The last time he measured, he was 60 inches tall. What percent taller is Stefan now?
If a single image requires 2MB, then at 40 frames per second, 60 minutes video requires how many GB? 288 GB
180 GB
355 GB
215 GB
A 60-minute video at 40 frames per second requires approximately 288 GB of video storage.
To calculate the amount of storage required for a 60-minute video at 40 frames per second, we need to consider the following factors:The duration of the video: 60 minutesThe frame rate: 40 frames per secondThe size of a single frame: 2MBFirst, we calculate the total number of frames in the video:Total frames = frame rate \(\times\) duration
Total frames = 40 frames/second \(\times\) 60 minutes \(\times\) 60 seconds/minute
Total frames = 144,000 frames
Next, we calculate the total storage required for all the frames:Total storage = Total frames \(\times\) size of a single frame
Total storage = 144,000 frames \(\times\) 2MB/frame
Converting from MB to GB:Total storage = (144,000 frames \(\times\) 2MB/frame) / 1024 MB/GB
Total storage = 288,000 MB / 1024 MB/GB
Total storage ≈ 288 GB
Therefore, the correct answer is approximately 288 GB.
Note: The complete question is:
If a single image requires 2MB, then at 40 frames per second, 60 minutes video requires how many GB?
288 GB
180 GB
355 GB
215 GB
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What is the probable of getting a jack given the first draw was a queen?
Answer:
\(P(A)=\frac{4}{51}\)Step-by-step explanation:
The probability is represented by the following equation:
\(P(A)=\frac{\text{ Number of favorable outcomes}}{\text{ Total number of possible outcomes }}\)Then, if the 52-card deck is represented as:
If the first draw was a queen, the probability to get a jack:
\(P(A)=\frac{4}{51}\)Manny says that the diagram shows a centroid. Is he correct? Why or why not?
Answer:
WAT! What diagram???
Step-by-step explanation:
Answer: No, because the center pod is where the medians meet
Sketch the graph of each line by identifying the x-and y-intercepts.
Answer:
Slope: -5/3 , Y-intercept: (0,5)
Step-by-step explanation:
Vote brainliest!
While playing basketball, Shaquille O’Neal made 58.2% of his field goal attempts during a game and 52.7% of his free throws. Determine the expected value of each of Shaq’s field goal attempts, 2 and 0.
Answer:
P(outcomes 2) = 0.584
P(outcome 0) = 0.412
Expected value = 1.164
Step-by-step explanation:
Given the following :
Percentage success of field goal attempt made during a game = 58.2%
Therefore, probability of success = 58.2 / 100 = 0.582
Probability of failure = 1 - P(success)
P(failure) = 1 - 0.582 = 0.412
Upon a successful goal attempt made, 2 points is scored while a miss or failure earns 0 point.
Therefore, Expected value of each of Shaquille O'Neal's goal attempt is:
(2 × 0.582) + (0 × 0.412)
1.164 + 0 = 1.164
Therefore :
P(outcomes 2) = 0.584
P(outcome 0) = 0.412
Expected value = 1.164
I can travel 612 miles in 1 hour in my super speedy plane. Assume that there are 5,280 ft per mile. How many get would I travel in 1 minute?
Answer:
3231360
Step-by-step explanation:
5280 x 612 equals 3231360
What is the equation of the line that passes through the point (-6,1) and has a
slope of 1?
Answer:
y = x + 7
Step-by-step explanation:
If the slope is 1, the original equation is y = mx + b, with m being 1.
Now substitute -6 and 1 for x and y and solve for b
1 = 1(-6) + b
1 = -6 + b
7 = b
Put it all together:
y = x + 7
guys please help this is a math question
Answer:
81.5
Step-by-step explanation:
<G and <H are congruent
<F and <I are congruent
so the last two angles in both triangles must also be congruent
this means that <K and <J are congruent
so we can create this equation: <K = <J
substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40
add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)
you get: 20 = \(y^{2}\)
root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)
you get: y ≈ 4.5
substitute this into one of the equations for a missing variable:
6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40
6 ( 20.25) - 40
121.5 - 40
81.5
3x - 6 = 2 - 5x how do i get x
Answer:
x=0.875
Step-by-step explanation:
3x-6=2-5x
Add 6 on both sides (6+2)
2x=8-5x
Add 5x on both sides
7x=8
Divide 7 from both sides
x=0.875
A fisherman can clean a fish according to a Poisson (get it!?!?) process with a rate of 1 every 20 seconds, once the catch is landed he gets to work immediately. Use the Central Limit Theorem to estimate the probability that the 6th fish is finished being cleaned between 103 and 139 seconds after he starts.
The probability that the sixth fish is finished being cleaned between 103 and 139 seconds after he starts is approximately 0.7498.
As per the given question,
A fisherman can clean a fish according to a Poisson process with a rate of 1 every 20 seconds.
Let X be the time taken by the fisherman to clean a single fish.
The rate of the Poisson process is λ = 1/20 per second.
So, the mean of X is μ = E(X) = 20 seconds and the variance of X is σ\(-^{2}\) = Var(X) = 400 \(s^{2}\).
Now, the time taken by the fisherman to clean n fishes, \(Y_{n}\), can be modeled by a gamma distribution with parameters n and λ, i.e., \(Y_{n}\) ~ Gamma(n,λ).
The mean of \(Y_{n}\) is
μ' = E(\(Y_{n}\)) = n/λ seconds
and the variance of \(Y_{n}\) is
σ'\(-^{2}\) = Var(\(Y_{n}\)) = n/λ\(-^{2}\) \(s^{2}\).
By the central limit theorem, \(Y_{n}\) can be approximated by a normal distribution with mean μ' and variance σ'^2/n, i.e.,\(Y_{n}\) ~ N(μ',σ'\(-^{2}\)/n).
So, the time taken by the fisherman to clean 6 fishes, \(Y_{6}\), can be approximated by a normal distribution with mean
μ' = E(\(Y_{6}\)) = 6/λ = 120 seconds
and
variance σ'\(-^{2}\)/n = Var(\(Y_{6}\))/6 = 100/6 \(s^{2}\).
The probability that the sixth fish is finished being cleaned between 103 and 139 seconds after he starts can be calculated as follows:
Z\(^{1}\) = (103 - μ')/\(\sqrt{}\)(σ'\(-^{2}\)/6) = -1.15
Z\(^{2}\) = (139 - μ')/\(\sqrt{}\)(σ'\(-^{2}\)/6) = 1.15
Using the standard normal distribution table or calculator, the probability can be found as:
P(-1.15 < Z < 1.15) = P(Z < 1.15) - P(Z < -1.15) = 0.8749 - 0.1251 = 0.7498
Therefore, the probability that the sixth fish is finished being cleaned between 103 and 139 seconds after he starts is approximately 0.7498.
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Milani's teacher draws students names at random, calls on the student, and replaces the name so that students know they should always be prepared to respond. There are 202020 students in Milani's class. Let XXX be the number of names it takes for the teacher to draw Milani's name.
Find the probability that the teacher first draws Milani's name as the 7^{\text{th}}7
th
7, start superscript, start text, t, h, end text, end superscript name.
You may round your answer to the nearest hundredth.
P(X=7)=P(X=7)=
Using the binomial distribution, it is found that there is a 0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.
What is the binomial distribution formula?The formula is:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, there are 20 students, hence in each question the probability that Milani's name is called is p = 1/20 = 0.05.
The probability that the teacher first draws Milani's name as the 7th student is P(X = 0) when n = 6(none during the first six) multiplied by 0.05(called during the seventh), hence:
P(X = 7) = (0.95)^6 x 0.05 = 0.0368.
0.0368 = 3.68% probability that the teacher first draws Milani's name as the 7th student.
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A rectangle with vertices M(-7, -2), N(-5, -1), O (-2, -7) and P(-4, -8) is rotated 90 degrees counter clockwise about the origin. What are the new locations of the vertices?
Answer: If the figure is rotated 90 degrees counter clockwise about the origin, ... Triangle LMN has vertices L(-1,4), M(-2,4), and N(-1,-1).
Step-by-step explanation:
90 Degrees
Tammy installs bathroom tiles. Her current job requires tiles that are equilateral triangles and all the tiles have to be congruent to each other. She has a big sack of tiles all in the shape of equilateral triangles. Although she knows that all the tiles are equilateral, she is not sure they are all the same size. What must she measure on each tile to be sure they are congruent? Explain.
Step-by-step explanation:
one side.
as each tile is guaranteed an equilateral triangle, all sides are equally long. measuring 1 side clarifies therefore the overall size of the tile.
the angles are the same in any case, as every equilateral triangle (no matter its size) has only angles of 60°.
so, if any side has the same length as the side lengths of the other triangles, then the checked triangle is congruent with the others.
ARST is dilated with the rule D1,1/3 (x, y), where the
center of dilation is T(3,-2).
The distance between the x-coordinates of R and T is
The distance between the y-coordinates of R and T is
V
from T, so the
R' is
coordinates of R' are
Answer: first one is 3, second is 6 third is 1 unit left, 2units up
Step-by-step explanation:
The transformation of ΔRST by a third, is a contraction, such that the
coordinates of point R from the center of dilation is reduced.
The correct responses are;
The distance between the x-coordinate of R and T is -3The distance between the y-coordinate of R and is 6R' is 1 unit to the left and 2 units up from T, so the coordinates of R' are (2, 0)Reasons:
The dilation of ΔRST with the rule \(D_{T, \ 1/3} \, (x, \, y)\), requires that we find a third
of the rise and run of the vertices from the center of dilation as follows;
The coordinates of the vertices of ΔRST are; R(0, 4), S(0, -2), and T(3, -2).The run;
The distance between the x-coordinate of R and T = 0 - 3 = -3The rise;
The distance between the y-coordinate of R and T = 4 - (-2) = 6R' is (-3, 6) × \(\left(\frac{1}{3} \right)\) = (-1, 2) from TThe coordinates of R' are
\(D_{T, \ 1/3} \, R(0, \, 4)\) = (3 + (-3) × \(\left(\frac{1}{3} \right)\), -2 + 6 × \(\left(\frac{1}{3} \right)\)) = (2, 0)Learn more here:
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Please show how did they got $27,446.13
The question is Assuming the total interest paid on a trailer
loan of $24,000 paid at 10% over eight years is $27,446.13
The amount of $27,446.13 represents the total interest paid on a trailer loan of $24,000 over a period of eight years with an interest rate of 10%.
To calculate the total interest paid, we can use the formula:
Interest = Principal * Rate * Time.
Given that the principal amount (loan) is $24,000, the interest rate is 10%, and the time period is eight years, we can substitute these values into the formula.
Interest = $24,000 * 0.10 * 8
= $19,200
However, the total interest paid is given as $27,446.13, which is higher than the calculated interest. This additional amount could be due to compounding interest or additional fees associated with the loan.
In conclusion, they arrived at the amount of $27,446.13 by calculating the interest based on the given principal, interest rate, and time period.
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the equilibrium price is the price at which the quantity
The equilibrium price is the price at the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.
The equilibrium price is the price at which the quantity demanded by consumers equals the quantity supplied by producers in a market. It is the point of balance between supply and demand.
At the equilibrium price, there is no shortage or surplus of goods in the market. The quantity demanded by consumers at that price matches the quantity supplied by producers, resulting in a state of market equilibrium.
If the price is set above the equilibrium price, there will be a surplus of goods because the quantity supplied exceeds the quantity demanded. Producers will be left with excess inventory, and they may need to lower the price to sell their goods.
On the other hand, if the price is set below the equilibrium price, there will be a shortage of goods because the quantity demanded exceeds the quantity supplied. Consumers will be willing to buy more goods at the lower price, and producers may need to raise the price to meet the increased demand.
Therefore, the equilibrium price is the price that brings supply and demand into balance, ensuring that the market clears and there is neither a shortage nor a surplus of goods.
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Find the inverse of the relation
{(-3, -20); (-1, -12); (0, -8); (1, -4); (3,4)}
Answer:
{(-20, -3), (-12, -1), (-8, 0), (-4, 1), (4, 3)}
Step-by-step explanation:
Switch x and y in each ordered pair.
The inverse relation of {(-3, -20), (-1, -12), (0, -8), (1, -4), (3, 4)} is
{(-20, -3), (-12, -1), (-8, 0), (-4, 1), (4, 3)}
help please i have 0 clue on what to do
Answer:
Step-by-step explanation:
\(9x6x12\)= 648 the length(12m), width(6m), and height(9m) that all i can give you for now because this got me losing brain sells
Answer:
for the first question the answer is 3
for the second question the answer is 9
Step-by-step explanation:
12/4=3, 6/2=3, 9/3=3
8+8+12+12+6+6 = 52 & 108 + 108 + 72 + 72 + 54 + 54= 468
468 / 52 = 9