Answer:
12.12
Step-by-step explanation:
multiplye them by 2
an inequity that can be written in the form ax by < c (where a and b are not both zero) is called a ____?____ inequality in two variables.
An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.
An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.
In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.
The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.
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The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds produced from the plant was analyzed for a particular collagen. The collagen amount was found to be normally distributed with a mean of 61 and standard deviation of 9.8 grams per mililiter. a. What is the probability that the amount of collagen is greater than 60 grams per milliliter
Answer:
45.94%
Step-by-step explanation:
Probability-Above 45.94%
Z =0.1
x= 61
µ 60
σ 9.8
how to convert 3m to cm
Step-by-step explanation:
So for starters there are 100 centimeters in one meter.
therefore, you would multiply whatever number of meters by 100-
in this case there would be 300 centimeters.
Hope this helped. Have an amazing day
- Birdy
Help me and i will mark as brainliest
Step-by-step explanation:
BAC=56
ACB=62
ADC=62
COB=112
help pls! (it's a pic)
Answer: Choice C
x+y = 28
3x+4y = 100
===================================================
Explanation:
x and y are placeholders for nonnegative whole numbers.
Specifically,
x = number of three point questions
y = number of four point questions
Since we have 28 questions total, this must mean x+y = 28. That forms the first equation in our system of equations.
------------
Now let's form the second equation:
x = number of three point questions
3x = points we get from all the three point questions
y = number of four point questions
4y = points we get from all the four point questions
3x+4y = all points possible
3x+4y = 100 is the second equation
------------
So we have this system
\(\begin{cases}x+y = 28\\3x+4y = 100\end{cases}\)
which fits the conditions in the instructions.
Frannie bought a pair of sandals. What is a reasonable measurement for the width of a pair of sandals? A 5 cm B 5 mm C 5 in. D 5 yd
Answer:
A 5cm
Step-by-step explanation:
The others answers would be either too big or too small to fit
In a class of 29 students, 19 are female and 14 have an a in the class. there are 8 students who are male and do not have an a in the class. what is the probability that a student does not have an a given that the student is female?
Answer:
5/ 19 ≈ 0.26 = 26%
Step-by-step explanation:
given: student is female. there is a 100% chance that the student is female
probability we want = (favorable outcomes) / (total outcomes)
total outcomes = 19 because there are 19 female students and the student must be female
favorable outcomes = 19 - 14 = 5 females who do not have an A in the class
probability = 5/ 19 ≈ 0.26 = 26%
(Ant man) If I'm 6th feet tall and my arm length is 36 inches, assuming my porportions stay the same as I shrink what is my high to arm length ratio. how long will my arms be if i were 30 feet tall. show work
PLEASE ANSWR
Height to arm length ratio: 6:3 ft or 2:1 (since 36 inches is 3 feet)
If you were 30 feet tall, your arm would be 15 feet long.
Answer:
Your arms will be 15 inches if you were to be 30 feet tall.
Explanation:
let your new arms be new arms :)
1 feet is 12 inches
so 6 feet is (12*6) inches = 72 inches
\(\frac{body }{arm } = \frac{new. body}{new .arm}\)
\(\frac{72}{36} = \frac{30}{new.arm}\)
\(new.arm = \frac{30*36}{72}\)
\(new.arm = 15\) inches
PLEASE HELP FAST
bx = -5
At the start of her shift at Midtown Bakery, Megan made some batches of cookies that called for 3 cups of flour each. Then, she used the remaining 8 cups of flour she had to make a pan of muffins. She started her shift with a 20-cup bag of flour.
Answer:
Step-by-step explanation:
26
Let B be a fixed n x n invertible matrix. Define T:Mnn →Mnn by T (A) = B-¹AB. Find T (I) and T(B). i) ii) Show that T is a linear transformation. iii) Show that ker(T) = (0). What ia nullity(7)? Show that if CE Man, then CER(T). iv)
a) \(\(T(I) = B^{-1}IB = B^{-1}B = I\), \(T(B) = B^{-1}BB = B^{-1}B = I\)\)
b) T is a linear transformation as it satisfies the properties of additivity and homogeneity.
c)\(\(\text{ker}(T) = \{0\}\), \(\text{nullity}(T) = 0\)\\\), \(\(CE \in M_{an}\) implies \(C \in \text{ker}(T)\)\)
a) \(\(T(I) = B^{-1}IB = B^{-1}B = I\)\), \(\(T(B) = B^{-1}BB = B^{-1}B = I\)\).
b) T is a linear transformation as it preserves addition and scalar multiplication:\(\(T(A+C) = T(A) + T(C)\)\) and\(\(T(A+C) = T(A) + T(C)\)\).
c) The kernel of T, \(\(T(A+C) = T(A) + T(C)\)\), consists only of the zero matrix:\(\(T(A+C) = T(A) + T(C)\)\).
d) The nullity of T, \(\(\text{nullity}(T)\)\), is 0 since the kernel contains only the zero matrix.
e) If C is invertible and A is in \(\(\text{nullity}(T)\)\), then CA is also in\(\(M_{an}\)\).
Therefore, if \(\(\text{nullity}(T)\)\) then\(\(\text{nullity}(T)\)\)
T and TB both equal . T is a linear transformation preserving addition and scalar multiplication. The kernel of T is 0 with nullity 0. If \(\(\text{nullity}(T)\)\), the\(\(\text{nullity}(T)\)\)
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The linear transformation T(A) = B^(-1)AB, where B is a fixed n x n invertible matrix, is analyzed. It is found that T(I) = I and T(B) = B, demonstrating the behavior of T on the identity matrix and the matrix B itself. The linearity of T is proven by showing that it satisfies the properties of additivity and scalar multiplication. The kernel of T is shown to be {0}, indicating that the only matrix mapped to the zero matrix under T is the zero matrix itself. The nullity of T is determined to be 0, meaning T is injective or one-to-one. Lastly, it is demonstrated that if C is an eigenvector of B, then C is also an eigenvector of T.
For T(I), substituting I into the expression T(A) = B^(-1)AB yields T(I) = B^(-1)IB = B^(-1)B = I, where I is the identity matrix. This shows that the identity matrix remains unchanged under the transformation T.
Similarly, for T(B), substituting B into the expression T(A) = B^(-1)AB gives T(B) = B^(-1)BB = B^(-1)B^2 = B. This indicates that the matrix B itself is mapped to B under T.
To prove the linearity of T, let A and C be two matrices, and let k be a scalar. By substituting kA and A + C into the expression for T(A), we can demonstrate additivity and scalar multiplication. T(kA) = B^(-1)(kA)B = kB^(-1)AB = kT(A), showing scalar multiplication. T(A + C) = B^(-1)(A + C)B = B^(-1)AB + B^(-1)CB = T(A) + T(C), demonstrating additivity.
The kernel of T, denoted ker(T), is the set of matrices A for which T(A) = 0. Since T(A) = B^(-1)AB, the only matrix that satisfies this condition is A = 0, resulting in ker(T) = {0}.
The nullity of T, denoted nullity(T), is the dimension of the kernel of T. Since ker(T) = {0}, which contains only the zero matrix, nullity(T) = 0. This implies that T is injective or one-to-one.
Lastly, if C is an eigenvector of B, then B^(-1)CB = λC, where λ is the corresponding eigenvalue. Substituting this into the expression for T(A), we find T(C) = B^(-1)CB = λC. Thus, if C is an eigenvector of B, it is also an eigenvector of T with the same eigenvalue λ.
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the complete question is:
Let B be a fixed n x n invertible matrix. Define T:Mnn →Mnn by T (A) = B-¹AB. Find T (I) and T(B). i) ii) Show that T is a linear transformation. iii) Show that ker(T) = (0). What ia nullity(7)? Show that if CE Man, then CER(T). iv)Show that if CE Man, then CE R(T).GENERATE THE ANSWER IN 150 WORDS IT WILL BE DIVIDED INTO TWO PARAGRAPHS THE FIRST PARA WILL BE THE SUMMARY OF THE ANSWER in 2 lines, AND SECOND PARA WILL BE THE EXPLANATION OF THE ANSWER
Roxanne likes to fish. She estimates that 30% of the fish she catches are
trout, 20% are bass, and 10% are perch. She designs a simulation.
Let 0, 1, and 2 represent trout.
Let 3 and 4 represent bass.
Let 5 represent perch.
Let 6, 7, 8, and 9 represent other fish.
The table shows the simulation results.
7888 2635 2961 2053
2095
4526 6994 4348 3087 7282
8323 3579 3840 6839 51681
0585 1780 3363 7683 2921
What is the estimated probability that at least one of the next four fish
Roxanne catches will be a perch?
The estimated probability that at least one of the next four fish Roxanne catches will be a perch is 34%
What is Probability ?Probability is the likeliness of an event to happen. It has a range of 0 to 1, where 0 indicates uncertainty and 1 indicates certainty.
It is given that
0, 1, and 2 represent trout , 3 and 4 represent bass , 5 represent perch , 6, 7, 8, and 9 represent other fish
From the data it can be observed that
Total number of single digits numbers = 80
No. of Perch , "5 " = 8
Probability of getting a perch in next fish = 8/80 = 0.1
Probability that at least one of the next four fish Roxanne catches will be a perch = 1- P(no perch)
P ( no perch) = 1 - 0.1 = 0.9
for 4 fishes
= 1 - 0.9⁴
= 0.3439
= 34.39%
≈ 34%
Therefore the estimated probability that at least one of the next four fish
Roxanne catches will be a perch is 34%.
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Can anyone help me with my homework
Step-by-step explanation:
you need to use pythagorean theorem to solve to do it fast, just take the square root of the two two side squared. that would give you the answer the fastest
3^4×2^3×3^7×2^2÷2^2×3^2×2^5×3^6
Answer:
the answer is
\( \frac{27}{4} \)
1. Let G be a group and H be a nonempty subset of G that is closed under the binary operation of G. Then H is a subgroup of G. a. True b. False 2. Given the following statements. Statement A: Every cyclic group is abelian. Statement B: The order of the cyclic group is the same as the order of its generator. Choose the correct option. a. A and B are true. b. Both A and B are false. c. A is true but B is false. d. A is false but B is true. 3. The set of all real numbers under the usual multiplication operation is not a group since a. Zero has no inverse. b. The identity element under the operation does not exist. c. Multiplication is not a binary operation on the set. d. Multiplication is not satisfying the associativity property.
The correct answer is a)True c)True The order of the cyclic group is determined by the number of elements in the group, whereas the order
a. True. If a nonempty subset H of a group G is closed under the binary operation of G, contains the identity element of G, and contains the inverse of each of its elements, then H is a subgroup of G.
c. A is true but B is false. Every cyclic group is indeed abelian, but the order of the cyclic group is not necessarily the same as the order of its generator. The order of the cyclic group is determined by the number of elements in the group, whereas the order of the generator refers to the smallest positive exponent that generates all elements of the group.
a. Zero has no inverse. In the set of real numbers under the usual multiplication operation, the element zero does not have a multiplicative inverse. Every nonzero real number has an inverse, but zero itself does not. In a group, every element should have an inverse, so the set of all real numbers under multiplication does not form a group.
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another financial analyst, who also works for the online trading platform, claims their clients have a lower proportion of stock portfolios that contain high-risk stocks. this financial analyst would like to carry out a hypothesis test and test the claim that the proportion of stock portfolios that contain high-risk stocks is lower than 0.10. why is their hypothesis test left-tailed?
The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.
In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.
By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.
Therefore, a left-tailed hypothesis test is appropriate in this scenario.
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True or False: A shift is another type of permutation
It is true that the A shift is a type of permutation where elements in a sequence or set are moved to the right or left by a certain number of positions.
For example, shifting the sequence (1,2,3,4,5) to the right by 2 positions would result in the sequence (4,5,1,2,3). This can be represented mathematically as (1,2,3,4,5) → (4,5,1,2,3), which is a permutation of the original sequence. Shifts can be useful in various applications, such as cryptography or data compression, where rearranging elements in a sequence can improve efficiency or security.
True. A shift is a specific type of permutation. In general, a permutation refers to the arrangement of objects in a particular order. A shift, also known as a cyclic permutation, involves moving elements of a set in a fixed direction, such that the order is maintained, but the elements change positions. In a shift, the first element moves to the last position, while all other elements move one position forward. This maintains the relative order of the elements and results in a new arrangement. Therefore, a shift is a type of permutation, as it represents an altered ordering of the elements in a set.
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Janet worked 3 hours more than David and 7 hours less than Kate. David earned $7.50 per hour, Janet earned $6 per hour, and Kate earned $9 per hour. If Kate earned $27 more than David and Janet combined, how much did each person earn?
We want to write and solve a system of equations to see how much each person earns.
What each one earned is:
Janet = $78Kate = $180David = $75Let's define:
J = number of hours that Janet worked.D = number of hours that David worked.K = number of hours that Kate worked.The information is:
"Janet worked 3 hours more than David and 7 hours less than Kate"
From this we can write:
J = D + 3
J = K - 7
We know that:
David earned $7.50 per hour.Janet earned $6 per hour.Kate earned $9 per hour.Finally, we know that Kate earned $27 more than David an Janet combined, then we can write:
$9*K = $27 + ($7.50)*D + $6*J
Then we have a system of equations:
J = D + 3
J = K - 7
$9*K = $27 + ($7.50)*D + $6*J
We can rewrite the first and second equations to get:
D = J - 3
K = J + 7
Now we can replace these two in the other equation to get:
$9*(J + 7) = $27 + ($7.50)*(J - 3)+ $6*J
Now we can solve this for J:
$9*J + $63 = $27 + $7.50*J - $22.50 + $6*J
$9*J - $7.50*J - $6*J = $27 - $63 - $22.50
-$4.50*J = -$58.60
J = (-$58.60)/(-$4.50) = 13
This means that Janet worked for 13 hours.
And with:
K = J + 7 = 13 + 7 = 20
D = J - 3 = 13 - 3 = 10
We can see that Kate worked for 20 hours and David for 10 hours.
Then each one of them earned:
Janet = 13*$6 = $78
Kate = 20*$9 = $180
David = 10*$7.50 = $75
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Mad Scientist Max wants to make 3 liters of 15% solution of hydrochloric acid by mixing some 10% acid solution with some 27% acid solution. How much of the 10% solution should he use for his diabolical recipe? Round answer to 3 decimal places.
Answer:
Dont you you jusy divide?
Step-by-step explanation:
Twenty-four percent of Louie's collections are LEGO toys. If he has 48 LEGO toys, how many does he have in
all?
1. What is asked?
2. What are the given facts?
3. What operation on decimals to compute for the total number of LEGO toys?
4. What is the mathematical sentence?
5. What is the answer
In the given problem, apply your knowledge in algebra and basic mathematics specially in word problems involving division of decimal.
1. What is asked?
How many does he have in all?
2. What are the given facts?
Twenty-four percent of Louie's collections are LEGO toys
48 LEGO toys
3. What operation on decimals to compute for the total number of LEGO toys?
Division
4. What is the mathematical sentence?
48 ÷ 0.24
5. What is the answer? (Solution)
48 ÷ 0.24 → 4800 ÷ 24
4800 ÷ 24 = 200
200 LEGO toys
Count the number of ways to seat 34 people, consisting of 17 couples, in a row of 34 seats if each couple must get adjacent seats.
Answer:
4.6620663x10^19 or 46,620,663,000,000,000,000 total configurations
Step-by-step explanation:
Since each couple must get adjacent seats, we can first think of the row as having 17 seats instead of 34 since the people in each pair does not change and we consider instead the position of the pair rather than the two people.
There are 17 places where each couple can sit in the 34 chairs. Therefore the number of ways to order the 17 pairs (regardless of the order of individual people in those pairs) is 17!.
This is because first place could be taken by any of the 17 couples so there are 17 possibilities. After the first place is taken, there are only 16 possible couples to take the second place to we have 17x16. After the first two are taken there are only 15 possible couples to take the third place so we multiply by 15. This continues with each respective place so the total number of configurations is: 17x16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1 OR 17! which is equal to 3.5568743x10^14, or 355,687,430,000,000 different configurations.
Now we must also consider the order of the individual people in the pairs as one can sit on the left or on the right of the other person (e.g. 1,2 or 2,1). And since each pair can have two possible orders, every possible configuration of the pairs in the 17 places must be multiplied by 2^17 to accommodate for this (2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 for the 17 couples), which is equal to: 131072
Therefore the total number of ways to seat 17 couples in a row of 34 is 131072x355,687,430,000,000= 4.6620663x10^19 or 46,620,663,000,000,000,000 total configurations.
Hope this helped!
Answer:
2^17 × 17!
Step-by-step explanation:
Seat 1 = 34 possibilities
Seat 2 = 1 possibility
Seat 3 = 32 possibilities
Seat 4 = 1 possibility
And so on
So it is 34 × 32 × 30 × ... × 2
So it is
\( {2}^{17} \times 17factorial\)
I hope this helps you :)
Find the surface area of the composite figure.
The surface area of the composite figure shown in the image is 952 ft²
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Surface area of composite is the sum of the individual areas of the surface.
Hence:
Surface area of composite = 2(14 * 9) + 2(0.5 * 10 * 8) + 2(10 * 10) + 2(10 * 14) + (10 * 14) = 952 ft²
The surface area of the composite figure shown in the image is 952 ft²
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Find the midpoint of the line segment AB if A = (7, 2) and B = (5, -4). ( with photo pls)
Answer:
(6, -1)
Step-by-step explanation:
The midpoint formula, (y2+y1)/2 and (x2+x1)/2 will help us find our answer. So (2-4)/2= -1 and (7+5)/2=6, so (6,-1) is the midpoint of segment AB.
Find the specified areas for a Upper N left-parenthesis 0 comma 1 right-parenthesis density. (a) The area below z equals 1.04 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001 (b) The area above z equals -1.4 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001 (c) The area between z equals 1.1 and z equals 2.1 Round your answer to three decimal places. areaequals the absolute tolerance is +/-0.001
The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.
To find the area below z=1.04 for an Upper N(0,1) density, you will need to use the standard normal distribution table or a calculator with a z-table function. Here are the steps:
1. Locate the value of z=1.04 in the table or use the calculator's function.
2. Find the corresponding area value (which represents the probability or percentage of values below z=1.04).
The area below z=1.04 is approximately 0.851, rounded to three decimal places.
(b) To find the area above z=-1.4 for an Upper N(0,1) density, follow these steps:
1. Locate the value of z=-1.4 in the table or use the calculator's function.
2. Find the corresponding area value.
3. Since we need the area above z=-1.4, subtract the area value found in step 2 from 1.
The area above z=-1.4 is approximately 1 - 0.0808 = 0.919, rounded to three decimal places.
(c) To find the area between z=1.1 and z=2.1 for an Upper N(0,1) density, follow these steps:
1. Locate the values of z=1.1 and z=2.1 in the table or use the calculator's function.
2. Find the corresponding area values for both z=1.1 and z=2.1.
3. Subtract the area value of z=1.1 from the area value of z=2.1 to find the area between them.
The area between z=1.1 and z=2.1 is approximately 0.982 - 0.864 = 0.118, rounded to three decimal places.
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PLSSS HELPPP ASAPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!
An underground mine elevator descends 12% of the total depth every minute. The total depth of the elevator is 75 meters below the ground. How many meters below the ground is the elevator after 2 minutes?
1. −18 meters
2. −9 meters
3. −4.5 meters
4. −22.5 meters
Answer:
I believe its 1. -18 meters
Step-by-step explanation:
first find how many meters the elevator is descending per minute. to do this:
what is 12% of 75?
(75×.12) = 9
the elevator is descending 9 meters per minute.
9×2=18
which triangle pairs are not necessarily congruent? select all that apply
The second triangle pairs are not necessarily congruent.
Option 2 is true.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
There are some triangles is shown in figure.
Now,
We know that;
Two triangles are congruent by theorem of SAS , ASA theorem.
So, When the ''two sides and one angle'' or ''two angle and one side'' are equal to another triangle then the triangles are congruent.
Here, In second option we have;
Only angles are equal, which make them similar not congruent.
Thus, We get;
The second triangle pairs are not necessarily congruent.
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Find the sum of -18+7
Answer:
-11
Step-by-step explanation:
yes I belive tell me if wrong
using a single composite transformation matrix for k transformations of n points, what is the required number of multiplications?
The required number of multiplications using a single composite transformation matrix for k transformations of n points is n × k.
In computer graphics, composite transformation matrices are used to transform points and shapes. These matrices are created by combining multiple transformations into a single matrix, allowing for efficient processing of large amounts of data. The number of multiplications required to perform a composite transformation depends on the number of points being transformed and the number of transformations being applied.
If there are n points and k transformations, then the required number of multiplications is n × k.
This is because each point needs to be multiplied by the composite transformation matrix k times.
Therefore, the total number of multiplications is n × k.
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help me out please explain too please :((
Answer:
bro I can’t do it TvT
help i'll give brainlesttt
Answer: x=4
Step-by-step explanation:
G(4) = 4x4 +3
G(4) = 16 + 3
G(4) = 19