Answers
Answer:
[tex]A^{-1} = \frac{1}{66} \left[\begin{array}{cc}-2&-5\\6&-18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{cc}-18&5\\-6&-2\end{array}\right][/tex]
Required
Determine the inverse
A matric is of the form:
[tex]A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]
First, we need to calculate the determinant (D)
[tex]D = a * d - b * c[/tex]
By comparison, we have:
[tex]D = (-18 * -2) - (5 * -6)[/tex]
[tex]D = (36) - (-30)[/tex]
[tex]D = 36 +30[/tex]
[tex]D = 66[/tex]
The inverse is then represented as:
[tex]A^{-1} = \frac{1}{D} \left[\begin{array}{cc}d&-b\\-c&a\end{array}\right][/tex]
This gives:
[tex]A^{-1} = \frac{1}{66} \left[\begin{array}{cc}-2&-5\\6&-18\end{array}\right][/tex]
Related Questions
Jackie drinks a bottle of water and a bottle of orange juice every morning.
The bottle of water has 16.9 ounces. The bottle of orange juice has 15.2 ounces.
Which is the best estimate for the total amount Jackie drinks in the morning for an entire week
and gives a good explanation for that estimate?
Answers
Answer:
15.30
Step-by-step explanation:
use code tiko
Answer:
ayo what
Step-by-step explanation:
The average starting salary for this year's graduates of a large community college is $30,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed. a. What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400? b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break? c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates? d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?
Answers
Answer:
0.048 ; 0.03593 ; (14320, 45680) ; 6000
Step-by-step explanation:
Given a normal distribution :
Mean salary (m) = $30000
Standard deviation (s) = $8000
A.) probability of having a starting salary of atleast 30400
P(x ≥ 30400)
Obtain the standardized value (Z) :
Z = (x - m) / s
Z = (30400 - 30000) / 8000
Z = 400 / 8000 = 0.05
P(Z ≥ 0.05) = 0.48006 (Z probability calculator)
b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?
P(X < 15600)
Obtain the standardized value (Z) :
Z = (x - m) / s
Z = (15600 - 30000) / 8000
Z = - 14400 / 8000 = - 1.8
P(Z < - 1.8) = 0.03593
c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates?
Zscore which corresponds to 0.95 is 1.96
Minimum:
-1.96 = (x - 30000) / 8000
-15680 = x - 30000
x = 14320
Maximum :
1.96 = (x - 30000) / 8000
15680 = x - 30000
x = 45680
d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?
P(X ≥ 43120)
Z = (43120 - 30000) / 8000
Z = 13120 / 8000
Z = 1.64
P(Z ≥ 1.64) = 0.050503
Hence,
0.050503 = 303
1 = x
x = 303 / 0.05050
= 6000
A plane is at Manchester, which is 170km north of Worcester. The plane flies in a straight line for 230km and lands in Cambridge, which is directly east of Worcester.
Show this information in a diagram.
Use your diagram to find the bearing of Manchester from Cambridge.
Answers
Answer:
ok so I found the answer, the plane has to go back to north
Step-by-step explanation:
Well first you have to remember the plane was supposed to go north
But then he crashed at East so he has to go back to North
I hope this answered your question, Also for the diagram
Um you can draw a quick picture that shows all of this information,
So like, a triangle that shows where he needed to go and where he
went and in how many km it was from there to there.
Im new so If this Did not help please get another person
The bearing of Manchester from Cambridge is 286 kilometers.
Given that a plane is at Manchester, which is 170km north of Worcester, and the plane flies in a straight line for 230km and lands in Cambridge, which is directly east of Worcester, to find the bearing of Manchester from Cambridge the following calculation must be done, applying the Pythagorean Theorem:
170² + 230² = X² √ (28,900 + 52,900) = X √81,800 = X 286 = X
Therefore, the bearing of Manchester from Cambridge is 286 kilometers.
Learn more in https://brainly.com/question/14930619
Mr.Lester needs less than 1/2 cup but more than 1/3 cup of flour to make a sauce.Which of the following could be the amount of flour that he needs?
Answers
Answer:1/4
Step-by-step explanation:
A triangle has ∠1 and ∠2 as remote interior angles with respect to exterior angle ∠3. Given that m∠1 = 50 and m∠2 = 70, Alicia reasoned that m∠3 must be 60. Is Alicia correct? If not, explain Alicia's error.
Answers
Answer:
No, 60 is the third interior angle's mesure, not the exterior ∠3.
Step-by-step explanation:
Say that ∠1=∠A=50 and ∠2=∠B=70. The remote interior angles are the angles that are not touvhing the exterior angle. So ∠3 would be the the exterior angle to ∠C. ∠C=60 as the sum of the interior angles is 180.
The exterior angle is the angle formed by extending one of the triangle's sides. A straight line has the angle 180, so∠3=180-∠C=180-60=120.
What is the answer to 5 3x + 12- 6x = -9
Answers
Answer:
x=-21/47
Step-by-step explanation:
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Step-By-Step on how to solve it is in the attached picture below.
Hope this helps! :)
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.61 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are between 2.21 and 3.01?
Answers
Answer:
68%
Step-by-step explanation:
We start by calculating the z-scores of both
z-score = (x-mean)/SD
for 2.21
z-score = (2.21-2.61)/0.4 = -1
For 3.01
z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1
So what we want to find is the percentage between -1 SD and 1 SD of the mean
This is the percentage corresponding to the probability
P(-1 < x < 1)
According to the empirical rule, this is a value of;
68.269%
What do you already know about linear relationships?
Answers
Answer:
A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.
a sand box has the length that is 5 1/2 and a width that is 4 4/5 feet. what is the area of the sandbox?
Answers
Answer:
26 2/5 feet
Step-by-step explanation:
ASAP plz I need help
Answers
Answer: 30
Step-by-step explanation:
Plug in x for the expression
6^2 + x - x^2
36 + (3) - (3)^2
36 + 3 - 9
39 - 9
= 30
What is An equivalent fraction to 1/2 with a denominator as 10?
Answers
Answer:5/10
Step-by-step explanation:
1/2 x 5 = 5/10
What is the d stand for????
Answers
Answer:
The missing variable
Step-by-step explanation:
D=2
Write an equation of a line that passes through the point (-3, -5) and have a slope of -4/3
Answers
Answer:
y= -4/3x - 9
Step-by-step explanation:
I need the answer of this, can you tell me the answer plz ( i need the eleventh one )
Answers
Answer:
I believe the area will double
well the area is affected because it will be double the size that it originally was
area=16×24
A recipe needs 1/2 cup of water for every 2 cups of sugar. If you plan to use 8 cups of sugar, how much water will you need?
Answers
Answer:
you need 2 cups of water. :)
Step-by-step explanation:
The flagpole in front of Silver Pines Elementary School is 18.375 feet tall. What is 18.375 rounded to the nearest tenth?
Answers
Answer:
18.4
Step-by-step explanation:
Explanation: 35 rounds up to 4 so it would be 18.4 pls mark brainliest
Which type of rock is shale?
A. Metamorphic
B. Extrusive igneous
C. Intrusive igneous
O D. Sedimentary
< PREVIOUS
Answers
Answer:
sedimentary
Step-by-step explanation:
Answer:
D. Sedimentary
Step-by-step explanation:
sedimentary
what is -2.24?
A. -224
B.-2.24
C. 2.24
D. 224
HURRY,HURRY,HURRY. IF CORRECT I GIVE BRAINLIEST.
Answers
Answer: B) -2.24
Step-by-step explanation:
Answer: it’s -2.24
Step-by-step explanation:
Because it’s already in decimal form and since it’s a negative decimals number it is -2.24
What is 140% of a dollar
Answers
Answer:
1.4 U.S. Dollar
Step-by-step explanation:
Which of these triangle pairs can be mapped to each other using a reflection
and a translation? Triangles LRK and ARQ are connected at point R.
Triangle L R K is reflected across point R to form triangle ARQ. Triangles LP
Kand QR A are shown. Triangle LPK is reflected across a line to form
triangle QRA. Triangle QR A is shifted to the right of triangle L P K. Triangles
LPK and QR A are shown. Triangle LPK is shifted down and to the left to
form triangle QRA. Triangles LP K and QR A are shown. Triangle LPK is
rotated to form triangle QRA. Triangle QR A is also shifted to the right.
Answers
Answer:
b
Step-by-step explanation:
b b b b b b b b b b b b b b b b b b b b bb b b b b b b b b b b b b b b b b b
yes
Derek wants to buy a skateboard for $56.00. The store
is offering a discount of 5% on all items. What price will
Derek pay for the skateboard, not including tax?
Answers
Answer: 53.2$
Step-by-step explanation:
5/100 × 56 = 2.8
So, 56.00 $ - 2.8$ = 53.2$
Can someone help me ASAP!!!
Answers
Answer:
3x+y=2
Step-by-step explanation:
Just remember that standard form is expressed as Ax+By=C. I also attached a picture to prove that 3x+y=2 is the standard form equation that makes up the line.
Hope this helps and answers your question :)
1. Mrs. Gribble went to the grocery store and spent $10.80 on pizzas, $4 on apples, and $29.99 on diapers. How much money did Mrs. Gribble spend? 2. Mrs. Bond had $100 to spend at the mall. She bought a shirt for $16.75 and a pair of shoes for $50.86. How much money does she have left? (two questions)
Answers
Answer:
1. Spent $44.79
2.She has $32.39 left
Step-by-step explanation:
The perimeter of a rectangular field is 294 yards. If the length of the field is 92 yards, what is its width?
Answers
Answer:
w = 55 yards
Step-by-step explanation:
P = 2*(l + w)
P - perimeter, l - length, w - width
294 = 2*( 92 + w)
294/2 = 92 + w
147 = 92 + w
w = 147 - 92
w = 55
Two elves can make 5 toys in 10 minutes How many toys can 4 elves make in 30 minutes?
Answers
Answer:
30 toys
Step-by-step explanation:
PLEASE MARK BRAINLIEST
which expressions correctly represent the decimal 57.036?
Answers
Answer:
57 + 0.036
good luck...
What’s the unite rate
Answers
Answer:
unit rate is that which compares two unit.
37 POINTS PLEASE HELPPPPP!!!!!!
Answers
Solution:
We can see that each term when subtracted by 4, gives the next term.
This means that:
n₁ - 4(2) + 4(1) = n₂Let's substitute the values to check:
=> n₁ - 4(2) + 4(1) = n₂ => n₁ - 8 + 4 = n₂ => n₁ - 4 = n₂ => 18 - 4 = 14=> 14 = 14 (Proved)Now, we can find the nth term aₙ by using the formula:
18 - 4(nth term) + 4(1) = Value of nth termTo check that the formula is correct, let's substitute the value of nth as the fifth term of the sequence.
18 - 4(nth term) + 4(1) = Value of nth term=> 18 - 4(5) + 4(1) = Value of 5th term=> 18 - 4(5) + 4(1) = Value of 5th term=> 18 - 20 + 4 = Value of 5th term=> 18 - 16 = Value of 5th term=> 2 = Value of 5th termNow, let's find the fifth term mentally. Keep subtracting 4 until you reach the fifth term.
=> 18 - 4 = Second term of sequence=> 14 = Second term of sequence=> 14 - 4 = Third term of sequence=> 10 = Third term of sequence=> 10 - 4 = Fourth term of sequence=> 6 = Fourth term of sequence=> 6 - 4 = Fifth term of sequence=> 2 = Fifth term of sequenceWe are getting the same result from both ways.
In conclusion, our formula to find the nth term is "18 - 4(nth term) + 4(1)".
Charlie runs 7 miles in 80 minutes. At the same rate, how many miles would he run in 64 minutes?
Answers
Answer:
5.6 miles
Step-by-step explanation:
Cross Multiplying to solve for x
x = 7*64/80
x = 5.6mi
Answer:
5.6 miles in 64 minutes
Which answer choice represents the difference of 20 and 3 times a number?
A) 3j + 20
B) 20(3j)
C) 20 - 3j
D) (20 • 3)j