Answer:
5/2
Step-by-step explanation:
Answer:
5/2 is the largest fraction.
Step-by-step explanation:
To find the largest fraction, we can convert some using the LCD (least common denominator)
Keep 5/6 as is.
1/3 = 2/6
3/2 = 9/6
5/2 = 15/6
So, 5/2 is the largest fraction.
when a has linearly independent columns and a = qr is a qr factorization, then the columns of q form an orthonormal basis for the column space of a.
The given statement exists true. A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization).
What is meant by QR factorization?A matrix can be expressed as the union of two distinct matrices, Q and R, using the QR matrix decomposition. R is a square upper/right triangular matrix and Q is an orthogonal matrix. R is also invertible because it is square and doesn't have zeros in its diagonal entries.
A matrix is broken down into orthogonal (Q) and upper triangular (R) matrices in a process known as QR decomposition (factorization). Finding eigenvalues and solving linear least squares problems both use QR factorization.
A = QR. Be aware that the QR-factorization of a rectangular matrix A is sometimes understood with Q square and R rectangular rather than Q rectangular and R square, as with the MATLAB command qr.
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Animal shelters in a county need at least 15% of their animals to be adopted weekly to have room for the new animals that are brought into the various shelters. The county manager takes a random sample of shelters each week to estimate the overall proportion of animals that are adopted. If he concludes that the proportion has dropped below 15%, he will not accept any new animals into the shelters that week. He tests the hypotheses: H0: The adoption rate is 15%, and Ha: The adoption rate is less than 15%. What is a Type II error, and what is its consequence in this context
Answer:
By accepting a false null hypothesis he committed a type II error.
Step-by-step explanation:
Type II error is to accept H0 when H0 is false.
If there's a type II error then the null hypothesis is false ie the adoption rate is less than 15 %, when the true adoption rate is not less than 15% . He has accepted the null hypothesis as true and taken the wrong decision of not accepting any new animals into the shelters that week.
Answer:
A
The manager believes the adoption rate is still 15%, when it actually has dropped below 15%. The manager will accept more animals into the shelters and will run out of room.
Step-by-step explanation:
EDGE2022
4.4 pounds of sugar for $2.35 or 10
pounds of sugar for $4.99
4.4 pounds $2.35 = $.53 per pound
10 pound $4.99 = $ .49 per pound
please help me on this one guys
Remove the brackets.
= 6x² + 5x - 3 + x² - 9Take the like terms closer.
= 6x² + x² + 5x - 3 - 9Now do the addition and subtraction
= 7x² + 5x - 12Let us split the middle term
= 7x² + 12x - 7x - 12Now take x as common from the first two terms and -1 from the next two terms.
= x (7x + 12) - 1 (7x + 12)= (x - 1)(7x + 12)Answer:
(x - 1)(7x + 12)
Hope you could understand.
If you have any query, feel free to ask.
Solve (6x² + 5x - 3) + (x² - 9)
Answer:-(x-1) (7x+12)
Explanation:-please look at the attached picture :)
Which expression is equivalent to.......
See pictures
Answer:
\( \sqrt{ {2}^{5} } \)
Step-by-step explanation:
\(\huge \bigg( {2}^{ \frac{1}{2} }. {2}^{ \frac{3}{4}} \bigg)^{2} \\ \\ \huge = {2}^{ \frac{1}{2} \times 2 }. {2}^{ \frac{3}{4} \times 2} \\ \\ \huge = 2 \times {2}^{ \frac{3}{2} } \\ \\ \huge = {2}^{ \frac{3}{2} + 1 } \\ \\ \huge = {2}^{ \frac{3 + 2}{2} } \\ \\ \huge = {2}^{ \frac{5}{2} } \\ \\ \huge = \sqrt{ {2}^{5} } \)
Solve by completing the square 5x^2+7k+76=9x+4x^2
the solution to the equation by completing the square is: x = (9/2) ± √(-7k - 47/4).
To solve the given equation by completing the square, we need to rewrite the equation in the form of \((x + a)^2 = b\) , where a and b are constants. This can be done by following these steps:
1. Move all the terms to one side of the equation:
\(5x^2 + 7k + 76 - 9x - 4x^2 = 0\)
2. Combine like terms:
\(x^2 - 9x + 7k + 76 = 0\)
3. Rewrite the equation by completing the square for the x terms. To do this, take half of the coefficient of x (-9/2), square it, and add it to both sides of the equation:
\(x^2 - 9x + (-(9/2))^2 + 7k + 76 - (-(9/2))^2 = (-(9/2))^2\)
4. Simplify:
\((x - (9/2))^2 + 7k + 76 - (81/4) = 81/4\)
5. Combine constants:
\((x - (9/2))^2 + 7k + 47/4 = 0\)
6. Solve for x by taking the square root of both sides:
x - (9/2) = ±√(-7k - 47/4)
7. Add (9/2) to both sides:
x = (9/2) ± √(-7k - 47/4)
Therefore, the solution to the equation by completing the square is: x = (9/2) ± √(-7k - 47/4).
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what is the next fraction in this sequence; 1/3, 5/12, 1/2, 7/12
Answer:2/3
Step-by-step explanation:
Since with each fraction, the value increases by an increment of 0.0833333333333, which we can figure out by subtracting the smaller values by the values that come directly after them in the string of fractions, we can find that the next value in the list is 2/3, which is 7/12 + 0.0833333333333.
put the following equation in slope-intercept form, simplifying all fractions.
20x+12y=72
Answer:
(-5/3)x + 6
Step-by-step explanation:
To put the equation 20x + 12y = 72 into slope-intercept form (y = mx + b), where "m" represents the slope and "b" represents the y-intercept, we need to solve for "y."
Step 1: Move the term with "x" to the other side of the equation:
12y = -20x + 72
Step 2: Divide both sides of the equation by 12 to isolate "y":
y = (-20/12)x + 72/12
Simplifying the expression further:
y = (-5/3)x + 6
Therefore, the equation 20x + 12y = 72 in slope-intercept form is y = (-5/3)x + 6.
Answer:
y = \(\frac{-5}{3}\) x + 6
Step-by-step explanation:
20x + 12y = 72 Subtract 20x from both sides
20x - 20x + 12y = -20x + 72
12y = -20x + 72 Divide every term by 12
\(\frac{12y}{12}\) = \(\frac{-20}{12}\)x + \(\frac{72}{12}\)
y = \(\frac{-5}{3}\)x + 6
Simply \(\frac{-20}{12}\) by dividing the top and the bottom by 4
Simplify \(\frac{72}{12}\) by dividing the top and bottom by 12
Helping in the name of Jesus.
Can someone help me with this pleaseee…….
The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.
We have,
To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:
Distance Formula:
If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:
d = √((x2 - x1)² + (y2 - y1)²)
Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:
AB = √((4 - (-5))² + (5 - 5)²) = 9
BC = √((2 - 4)² + (0 - 5)²) = √(29)
CD = √((-5 - 2)² + (-2 - 0)²) = √(74)
DA = √((-5 - (-5))² + (5 - (-2))²) = 7
Therefore,
The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.
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Someone please help me with this
In a bag, there are red and green marbles in the ratio of 2:7. If there are 27 marbles in the bag, how many of them are green?
7
21
10
18
Answer:
21
Step-by-step explanation:
2 + 7 = 9
27/9 = 3
3 times 7 = 21
find the volume of the region contained in the cylinder x 2 y 2 = 9, bounded above by the plane z = x and below by the xy-plane.
the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.
Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.
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In one year, there were 116 homicide deaths in Richmond, Virginia. Using the Poisson distribution, find the probability that the number of homicide deaths for a randomly selected day is:
a) 0
b) 1
c) 2
The probability that the number of homicide deaths for a randomly selected day is:
a) 0: 0.18,
b) 1: 0.35,
c) 2: 0.27
The Poisson distribution is used to simulate the likelihood that a certain number of events will occur within a predetermined window of time or space.
In this instance, the Poisson distribution can be used to simulate the number of homicide deaths that occurred in Richmond, Virginia over the course of a year.
The Poisson distribution can be used to determine the likelihood of 0, 1, and 2 homicides happening on any given day.
One homicide occurs on a randomly chosen day with a 0.18 percent chance, one homicide occurs on a randomly chosen day with a 0.35 percent chance, and two homicides occur on a randomly selected day with a 0.27 percent chance.
Complete Question:
In one year, there were 116 homicide deaths in Richmond, Virginia. Using the Poisson distribution, find the probability that the number of homicide deaths for a randomly selected day is:
a) 0
b) 1
c) 2
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Question:
Sara is making hot cocoa. The table represents the number of teaspoons of sugar Sara uses for the number of servings.
1. Graph the table of values.
2. By looking at the graph, how can you tell that the amount of cocoa is proportional to the number of servings?
Answer:
theres no graph sorry, maybe if u upload it i can help
Step-by-step explanation:
in a lrage city 64% of the population inder the age of 15 had a cold during hte last winter season a school nurse is hoping ot the lil
The probability that a randomly selected student from the school have a cold after receiving the flu vaccine is 0.27 or 27%.
The school nurse is hoping to limit the cold's spread among the students in her school. To do this, to administer flu vaccines to the students. However, the flu vaccine is only effective in preventing the cold in 75% of cases.
Now, let's calculate the probability that a randomly selected student from the school have a cold after receiving the flu vaccine.
Let:
P(Cold) be the probability of having a cold in the city (given as 64% or 0.64).
P(Not Cold) be the probability of not having a cold in the city (since P(Cold) + P(Not Cold) = 1).
P(Vaccine Effective) be the probability that the flu vaccine is effective (given as 75% or 0.75).
The probability of not having a cold after receiving the flu vaccine is given by:
P(Not Cold | Vaccine) = P(Not Cold) × P(Vaccine Effective)
P(Not Cold | Vaccine) = (1 - P(Cold)) × P(Vaccine Effective)
P(Not Cold | Vaccine) = (1 - 0.64) × 0.75
P(Not Cold | Vaccine) = 0.36 × 0.75
P(Not Cold | Vaccine) = 0.27
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Complete question:
In a large city, 64% of the population under the age of 15 had a cold during the last winter season. A school nurse is hoping to limit the ...
Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
Use double-angle identities to write each expression, using trigonometric functions of θ instead of 4 θ.
cos 4θ
Answer:
cos4θ=8cos^4θ−8cos^2θ+1
Step-by-step explanation:
The figure shows two intersecting lines and measures of the resulting angles.
ول
(3x - 8)°
(2x +12)°
What are the values of x and y?
Answer:
hiiiiiiiii
burrgerry.com
Need help with this question!!!
The roots of a graph are also known as the x-intercepts. If you use a graphing tool to graph the given equation you will be able to see the x- intercepts. For the answer the question is asking what the x cordinates of the x intercepts are. I think the answer is (0,2,-2) but im not sure so you should check my work.
evaluate 1/2 + 1/3 simplify if possible
Answer:0.8
Step-by-step explanation:
Answer
1/2 : 1/3 = 3/
2
= 1 1/
2
= 1.5
Step-by-step explanation:
1.5 is your answer
A rectangular plot measures 12 m by 5 m. A path of constant width runs along one side and one end. If the total area of the plot and the path is 120 m², find the width of the path.
Answer:
the width of the path is 24m²
We can think of the division expression 10 divided by 2 1/2 as the answer to the question “how many groups of 2 1/2 are in 10 and explain your answer
Answer:
4 Groups
Step-by-step explanation:
2 1/2 can be written as 2.5, and since this is division, all we have to do is divide 10 by 2.5.
10/2.5=4
Help with question A.
To do simple subtraction, use the - (minus sign) arithmetic operator.
How to get a proper Conclusion?6N + 10
---------- - 5 =
2
3N + 5 - 5
3N
so yes, you will always get triple the original number. or 3N.
A final step should be to divide the last difference by 3, which gets you
the original number back.
Two positive integers added together are always positive.
When two negative integers are added together, the result is always negative.
The result of subtracting two positive integers might be either positive or negative.
The result of subtracting two negative integers might be either positive or negative.
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A box has 6 bronze caps, 5 silver, and 5 gold caps. Olav randomly grabs 6 caps. What is the probability that he grabbed exactly 3 bronze caps and exactly 1 silver caps? Give your answer accurate to 4 decimal places
The probability that he grabbed exactly 3 bronze caps and exactly 1 silver caps is 0.1247.
In this problem, we need to find the probability of Olav randomly grabbing 6 caps and getting exactly 3 bronze caps and exactly 1 silver cap.
To solve this problem, we can use the concept of combinations. The number of ways to choose 3 bronze caps out of 6 is given by the combination \(^6C_{3}\), and the number of ways to choose 1 silver cap out of 5 is given by the combination \(^5C_{1}\).
The number of ways to choose the remaining 2 caps (which must be gold) out of 5 is given by the combination \(^5C_{2}\).
Therefore, the total number of ways that Olav can grab 6 caps with exactly 3 bronze and 1 silver is given by:
\(^6C_{3}\)* \(^5C_{1}\) * \(^5C_{2}\) = 20 * 5 * 10 = 1000
The total number of ways to choose 6 caps out of 16 is given by
\(^{16}C_{6}\\\), which is:
\(^{16}C_{6}\\\)= 8008
Therefore, the probability that Olav grabbed exactly 3 bronze caps and exactly 1 silver cap is:
P = 1000 / 8008 = 0.1247 (rounded to 4 decimal places)
Hence, the probability that Olav grabbed exactly 3 bronze caps and exactly 1 silver cap is 0.1247.
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Evaluate the Expression
You want to hang 6 pictures in a row on a wall. You have 11 pictures from which to choose. How many picture arrangements are possible?
The number of different arrangements that can be formed is 7920
How many different arrangements can be formed?From the question, we have the following parameters that can be used in our computation:
Pictures = 11
Arranged pictures = 6
These can be represented as
n = 11 and r = 6
The number of different arrangements that can be formed is
Number = nPr
So, we have
Number = 11P4
Evaluate
Number = 7920
Hence, the arrangements are 7920
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HELP PLEASE!! 20 POINTS!expand to write an equivalent expression -.5 x (-2x + 4y) (I did some already)
Step-by-step explanation:
By Distributive Property,
-0.5(-2x + 4y)
= (-0.5)(-2x) + (-0.5)(4y)
= x - 2y.
khloe walks from school 20 miles due west, 8 miles due north, and 3 miles due east how far is khloe from school?
The approximate distance between Khloe and school is given by 18.78 miles.
Representing Khloe's movements on a coordinate plane.
Let us assume that Khloe's starting point (her school) is at the origin (0,0).
She walks 20 miles due west,
which means she moves 20 units to the left on the x-axis. Her new position is (-20,0).
She then walks 8 miles due north,
which means she moves 8 units up on the y-axis.
Her new position is (-20,8).
Finally, she walks 3 miles due east,
which means she moves 3 units to the right on the x-axis.
Her new position is (-17,8).
Distance between Khloe's final position and her starting point (the school),
Use the Pythagorean theorem,
Distance = √((change in x)^2 + (change in y)^2)
⇒Distance = √((-17-0)^2 + (8-0)^2)
⇒Distance = √(289 + 64)
⇒Distance = √353
⇒Distance ≈ 18.78 miles
Therefore, Khloe is approximately 18.78 miles away from her school.
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Remove all perfect squares from inside the square root. Assume bbb is positive. \sqrt{80b^2}= 80b 2
Answer:
Step-by-step explanation:
sqrt(80b^2) can be also written as sqrt(16(5)b^2).
The property sqrt(x*y) = sqrt(x) * sqrt(y) allows us to factor out square root of 16. Thus,
sqrt(16) * sqrt(5) * sqrt (b^2)
4*sqrt(5)*sqrt(b^2)
Sqrt(b^2) is the same as b^2/2, so Sqrt(b^2)= b
final answer 4b * sqrt(5)
Answer
THE GUY IS RIGHT DO WHAT HE SAYS!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
olve for x and for each one explain why it is or is not necessary to check for extraneous solutions: 10 pts (a) 4(35x-2) = 108 (b) log2x + log2(x-6)=4 (cos²) Find the exact value. (a) arctan ¹(-1/³) (b) arccos
a) The value of x is 0.8286 in the equation 4(35x - 2) = 108.
b) x=8 in the equation log2x + log2(x - 6) = 4.
c) The exact value of arctan⁻¹(-1/3) is -0.3218 radian.
a) To solve the equation 4(35x - 2) = 108:
Distribute the 4 on the left side:
140x - 8 = 108
Move the constant term to the right side:
140x = 108 + 8
140x = 116
Divide both sides by 140:
x = 116/140
x = 0.8286
(b) To solve the equation log2x + log2(x - 6) = 4:
Combine the logarithms using the logarithmic property loga(b) + loga(c) = loga(bc):
log2(x(x - 6)) = 4
Rewrite the equation in exponential form:
2⁴ = x(x - 6)
16 = x² - 6x
Move all terms to one side of the equation:
x² - 6x - 16 = 0
Factor the quadratic equation or use the quadratic formula:
(x - 8)(x + 2) = 0
x=8
c. To find the exact value of arctan⁻¹(-1/3):
The inverse tangent function, arctan(x), outputs an angle whose tangent is equal to x.
We want to find the angle whose tangent is -1/3.
arctan(-1/3) = -18.43 degrees
So, the exact value of arctan⁻¹(-1/3) is -0.3218 radian.
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I'll GIVE BRAINLIEST!!
PLEASE HELP IF YOUR GOOD AT MATH!! I NEED THIS RIGHT NOW
Answer:
M=-7 and n= the square root of 2
Step-by-step explanation:
integers are counting numbers (1,2,3,4, etc.) that can be negative. irrational numbers' decimals go on and on and on, like 4.1946183538 and dont repeat, im pretty sure
Underline the prepositions in the sentences. 1. The bus shuttles between Delhi and Gurgaon. 2. The children ran across the bridge. 3. Towards evening, you can hear the frogs croak. 4. I dug the flowerbeds with a spade. 5. The mountaineer reached the peak with great difficulty.
Answer:
1. The bus shuttles between Delhi and Gurgaon.
2. The children ran across the bridge.
3. Towards evening, you can hear the frogs croak.
4. I dug the flowerbeds with a spade.
5. The mountaineer reached the peak with great difficulty.
Explanation:
Prepositions are the words that tell us or gives information about the location, place, time, or the relation of the noun or pronoun with the other words in the sentence. In short, they tell us where, when, or how something happens.
The prepositions in the given sentences are underlined as follows-
1. The bus shuttles between Delhi and Gurgaon.
2. The children ran across the bridge.
3. Towards evening, you can hear the frogs croak.
4. I dug the flowerbeds with a spade.
5. The mountaineer reached the peak with great difficulty.