Select the correct answer.
Which statement about inverse matrices is true?
O A.
An inverse matrix is always a square matrix.
O B.
An inverse matrix a is never a square matrix.
The determinant of an inverse matrix is always zero.
O D.
There always exists a square matrix A-1 for which AA-1 = /.
Reset
Next
Options A and D are true for the inverse matrices.
We need to determine which statement about inverse matrices is true.
What is an inverse matrix?The inverse of the matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity. For a matrix A, its inverse is [tex]A^{-1}[/tex], and [tex]A.A^{-1}=I[/tex] A = I, where I is the identity matrix. The matrix whose determinant is non-zero and for which the inverse matrix can be calculated is called an invertible matrix.
The matrix should have a non-zero determinant for getting the inverse of it.
An inverse matrix should be a square matrix.
The inverse of the matrix can be calculated by two approaches:
1) Adjoint method
2) Row/Column elementary method
Therefore, options A and D are true for the inverse matrices.
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The is thinking of a number which he calls n. He finds 1/3 of the number and subtracts 5
Answer:
I just did it its 1/3n - 5
Step-by-step explanation:
find the area of the composite shape. quickly please
Answer:
4800 1 x 24 x 25 x 8
Step-by-step explanation: 1 x 24 x 25 x 8
Can someone please help I forgot how to do this.
Answer:
5²+1×2 - 4(4) = 11
Step-by-step explanation:
up top when it says a = 4
and b = 5 that's means b and a are those numbers.
then while 4 is touching a that means to multiply. And the 2 up top of b means 5×5, then do order of operations to find the answer. If you dont you'll get it WRONG.
Order of operations is this
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Mr suresh had 7/9 kg of sugar. He used 1/3 of it. How much sugar did he use?
1/3 * 7/9 kg = (1 * 7)/(3 * 9) kg = 7/27 kg
He used 7/27 kg of sugar.
2. Identify the relationship between the angles
given, then write and solve the equation to find
the value for the variable “x”.
Answer:
x is 21. dccxpxpdpdpdpdp
Answer:
Mutual
Step-by-step explanation:
33° +2x-15 =90
2x =90+15-33
2x=72
X=36
A.5x=3x
B.5=3
how can we get equation B from equation A?
9514 1404 393
Answer:
divide by x
Step-by-step explanation:
To answer your question, you can get from A to B by dividing by x:
[tex]5x=3x\\\\\dfrac{5x}{x}=\dfrac{3x}{x}\qquad\text{only if $x\ne0$}\\\\5=3[/tex]
However, this is only a valid operation if x ≠ 0. In this equation, x = 0, so that division is not valid.
__
A better approach to the solution is to put the equation in standard form:
f(x) = 0
You can get there by subtracting 3x from both sides.
5x -3x = 3x -3x
2x = 0
Now, you can legitimately divide by 2 to find ...
x = 0 . . . . . . . . the reason why dividing by x is not allowed
13u+4u-10=7 what does u=?
Answer:
1
Step-by-step explanation:
In the figure below, line a || line b If m<2=78 degrees which of the following angles also measure 78 degrees select all that apply
Answer:6
Step-by-step explanation:
Angle 2, angle 6, angle 4, and angle 8 have the same measure that is 78 degrees and this can be determined by using the corresponding angle property.
GIven :
In the given figure, line a parallel to line b.Angle 2 = 78 degrees.The following steps can be used in order to determine the other angles whose measure is 78 degrees:
Step 1 - The corresponding angle property is used in order to determine the other angles whose measure is 78 degrees.
Step 2 - According to the given figure, angle 2 and angle 6 are corresponding angles. Therefore, the measure of angle 6 is also 78 degrees.
Step 3 - Angle 8 is the opposite angle of angle 6 therefore, the measure of angle 8 is 78 degrees.
Step 4 - Angle 4 is the opposite angle of angle 2 therefore, the measure of angle 2 is 78 degrees.
Therefore, the correct options are B), D), and F).
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1. Which of the following is equivalent?
sin Θ cos Θ sec Θ csc Θ
a. 1
b. csc^2Θ
c. tan^2Θ
d. sec^2Θ
2. Which of the following is equivalent?
1/(cot^2Θ) * sec Θ cos Θ
a. 1
b. sec^2Θ
c. tan^2Θ
d. csc^2Θ
3. Which of the following is equivalent?
tan Θ/ cot Θ
a. cos^3Θ
b. tan^2Θ
c. sec^2Θ
d. sin Θ
9514 1404 393
Answer:
A, C, B
Step-by-step explanation:
It is helpful to remember the trig identities ...
sin = 1/csc
cos = 1/sec
tan = 1/cot
__
1. sin(θ)cos(θ)sec(θ)csc(θ) = (sin(θ)csc(θ))(cos(θ)sec(θ)) = (1)(1) = 1 . . . matches A
2. 1/cot²(θ)·sec(θ)cos(θ) = 1/(1/tan²(θ))·(1) = tan²(θ) . . . matches C
3. tan(θ)/cot(θ) = tan(θ)/(1/tan(θ)) = tan²(θ) . . . matches B
Answer:
1.sin Θ cos Θ sec Θ csc Θ
sinocoso×1/coso ×1/sino=1
1. is the required answer
2.1/(cot^2Θ) * sec Θ cos Θ
=sin²o/cos²o×1/coso×coso
=sin²o/cos²o
tan²o is answer
3.tan Θ/ cot Θ
sino/coso/(coso/sino)
sin²o/cos²o
tan²ois answer here o = theta
I really need help with this statistical/variable question, i am really struggling and would be super happy if someone could answer
Answer:
Statistic
Step-by-step explanation:
A statistic is a sample of the whole mean like
E.x( how many pink doughnuts are in the dozen pack of doughnuts.
A parameter represent the whole mean
E.x( how many donuts were made at 7:00)
Since they are sampling 25 cars, it is a statistic.
if you increase the length on a parallelogram by 4 cm, what happens to the perimeter?
Answer:
It gains 8 cm
Step-by-step explanation:
Answer:
We know that all the sides of a square are equal. Perimeter of a square is 4 times of s side. Perimeter of a square = 4 × length of a side.
Step-by-step explanation:
A rectangular prism has a length of 11ft, a height of 4ft, and a width of
3ft. What is its volume, in cubic ft?
Answer:
132 feet
Step-by-step explanation:
Volume = 11×3×4 = 132 feet
The golf scores of the players on two golf teams, Team A and Team B, are listed in order from lowest to highest below. Team A: 65, 67, 67, 68, 70, 70, 70, 71, 74, 77, 78, 78, 81, 81, 82 Team B: 63, 65, 67, 68, 70, 70, 71, 73, 74, 77, 77, 77, 78, 81, 84 Which of the following statements is a correct comparison of Team B to Team A? A. Team B has a larger median and a smaller interquartile range. B. Team B has a larger median and the same interquartile range. C. Team B has a smaller median and a larger interquartile range. D. Team B has a smaller median and the same interquartile range.
Answer:
B. Team B has a larger median and the same interquartile range.
The correct statement is,
D. Team B has a smaller median and the same interquartile range.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We know that;
Based on the given data, the correct comparison of Team B to Team A is A. Team B has a larger median and a smaller interquartile range.
This is because the median score for Team B is 70, which is higher than the median score for Team A, which is 70.
The interquartile range for Team B is smaller because the scores are more tightly clustered around the median, indicating less variability in scores compared to Team A.
Thus, The correct statement is,
D. Team B has a smaller median and the same interquartile range.
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Some iPhones produced within a time period have faulty battery issues. Thirty percent of such iPhones will need battery service while under warranty. A family owns 5 iPhones produced within the time frame of potential faulty production.
(a) What is the probability that exactly two iPhones will end up being serviced under warranty?
(b) What is the probability that at least two iPhones will end up being serviced under warranty?
(c) What is the expected number of iPhones in the family that require service?
(d) What is the standard deviation of the number of iPhones in the family that requires service?
Answer:
a) 0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.
b) 0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty
c) The expected number of iPhones in the family that require service is 1.5.
d) The standard deviation of the number of iPhones in the family that requires service is 1.0247.
Step-by-step explanation:
For each iPhone, there are only two possible outcomes. Either they have battery issues under warranty, or they do not. iPhones are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Thirty percent of such iPhones will need battery service while under warranty.
This means that [tex]p = 0.3[/tex]
A family owns 5 iPhones produced within the time frame of potential faulty production.
This means that [tex]n = 5[/tex]
(a) What is the probability that exactly two iPhones will end up being serviced under warranty?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]
0.3087 = 30.87% probability that exactly two iPhones will end up being serviced under warranty.
(b) What is the probability that at least two iPhones will end up being serviced under warranty?
This is:
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.3)^{2}.(0.7)^{3} = 0.3087[/tex]
[tex]P(X = 3) = C_{5,3}.(0.3)^{3}.(0.7)^{2} = 0.1323[/tex]
[tex]P(X = 4) = C_{5,4}.(0.3)^{4}.(0.7)^{1} = 0.0284[/tex]
[tex]P(X = 5) = C_{5,5}.(0.3)^{5}.(0.7)^{0} = 0.0024[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.3087 + 0.1323 + 0.0284 + 0.0024 = 0.4718[/tex]
0.4718 = 47.18% probability that at least two iPhones will end up being serviced under warranty.
(c) What is the expected number of iPhones in the family that require service?
[tex]E(X) = np = 5*0.3 = 1.5[/tex]
The expected number of iPhones in the family that require service is 1.5.
(d) What is the standard deviation of the number of iPhones in the family that requires service?
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{5*0.3*0.7} = 1.0247[/tex]
The standard deviation of the number of iPhones in the family that requires service is 1.0247.
I have a 6 in the tens place and 7 in the ones place .I am greater than 200 but less than 400. what number am I?
A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.
Create a system of equations or inequalities that models the situation.
Define the variables you use.
Answer:
10/20
Step-by-step explanation:
$15 for 10 hours and $20 for 10 hours
Who can answer this
plz plz plz plz plz plz plz plz plz plz plz plz plz plz plz plzzzz plz pzl pz plz -plz plz HELPP
Answer:
The lines will never intersect.Step-by-step
explanation:
The slope of the cups is the same, 1.5. The y-intercept of the small cups is 6The y-intercept of the big cups is 9. This means that the lines will never intersect because they are parallel lines and have the same slope but different y-intercepts.
I hope this helps :) Please give brainliest! :)
Help with algebra 2 i dont know how to do this
Answer:
I cannot see the question clearly. But I know how to do .
what is the answer of the file
Answer:
Check pdf
Step-by-step explanation:
Evaluate the following expression when x = 3 and y = 5: x^2 + y^3 2+x
Answer:
139
Step-by-step explanation:
x^2 + y^3 2+x = 3^2 + 5^3 + 2 + 3
= 9 + 125 + 5
= 139!
What is the domain and range of f(x)=2/7x-2
Answer:
the domain and range are all real numbers
Step-by-step explanation:
Answer:
x= 7y+14 /2
y= 2/ 7 x−2
Step-by-step explanation:
The cost of $500,000 worth of 15-year term life insurance for Audrey is
$28.44 per month. If Audrey's employer covers 75% of this cost, how much is
deducted from Audrey's gross income per year for life insurance?
A. $21.33
B. $85.32
C. $341.28
D. $255.96
SUBMIT
help guys!!!! pls & tyyyyy
Answer:
I think
A:(2,1)
B:(4,-2)
C:(4,-6)
D:(1,-3)
Stephanie is looking at apartments with 2 of her friends. They want the monthly rent to be no more than $3,999. If the
roommates split the rent evenly among the 3 of them, what is the maximum rent each will pay?
Answer:
The maximum rent each will pay is $1,333.
Step-by-step explanation:
They want the monthly rent to be no more than $3,999.
It will be split evenly between all of them, with each contributing with x.
This means that the maximum rent each will pay is given by:
[tex]3x = 3999[/tex]
[tex]x = \frac{3999}{3}[/tex]
[tex]x = 1333[/tex]
The maximum rent each will pay is $1,333.
Which of the following is false?
A triangle can be drawn
with only one obtuse angle
and two acute angles.
A triangle can be drawn
with 3 acute angles.
A triangle can be drawn
with only one right angle
and two acute angles.
A triangle can be drawn
with 2 obtuse and one acute
angles.
Can someone do this real quick plz
Answer:
(3.5, 2)
Step-by-step explanation:
From the attachment, we have:
[tex]H = (1,1)[/tex]
[tex]J= (2,3)[/tex]
[tex]K=(6,3)[/tex]
[tex]L = (5,1)[/tex]
Required
Determine the point of intersection
To do this, we simply calculate the midpoints of the diagonals; which are:
HK and JL
Midpoint is calculated as:
[tex]M = \frac{1}{2}(x_1 + x_2,y_1+y_2)[/tex]
For HK:
[tex]M = \frac{1}{2}(1+6,1+3)[/tex]
[tex]M = \frac{1}{2}(7,4)[/tex]
[tex]M = (3.5,2)[/tex]
For JL:
[tex]M = \frac{1}{2}(2+5,3+1)[/tex]
[tex]M = \frac{1}{2}(7,4)[/tex]
[tex]M = (3.5,2)[/tex]
For both diagonals, the coordinate of the midpoint is (3.5, 2).
Hence, the point of intersection is: (3.5, 2)
The price at which god is brought is called
92 = 5y - 13 answerrrrrr NOWWWWWWWWWWWWWWWWWWWWWWWWWWWW
Answer:
the answer is y=21
Step-by-step explanation:
hope this helps:)
Answer:
y=21
Step-by-step explanation:
92 = 5y - 13
92 + 13 = 5y - 13 + 13
105 = 5y
105/5 = 5y/5
21 = y
Hope this helps!
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