Answers
THE CORRECT OPTION IS A where the input data is correct
Answer:
option 3
Step-by-step explanation:
[tex]AX = B\\X = A^{-1}B\\\\A = \left[\begin{array}{CC}\\2&5\\1&3\end{array}\right]\\\\\\B =\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\X =\left[\begin{array}{C}\\x&y\end{array}\right][/tex]
[tex]det A = 1\\\\adj A = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]
[tex]A^{-1} = \frac{1}{det A} \times Adj A[/tex]
[tex]= 1 \times \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\\\\\\= \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]
Therefore,
[tex]X = A^{-1}B\\\\\\\left[\begin{array}{C}\\x&y\end{array}\right] = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\[/tex]
Related Questions
A newly electric vehicle is designed to have a battery range of 400 miles and a standard deviation of 20 miles. assume the battery range distribution is normally distributed. the company tests 39 vehicles to determine if the battery is operating at specifications. the average range of the 39 vehicles is 398 vehicles with a standard deviation of 20 miles. find the 95% confidence interval for average battery range of the newly produced vehicle.
a) (393.72 , 406.28)
b) (391.52, 404.48
c) (393.52, 406.48)
d) (391.72, 404.28)
Answers
Answer:
b) (391.52, 404.48)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 39 - 1 = 38
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 38 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0244
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0244\frac{20}{\sqrt{39}} = 6.48[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 398 - 6.48 = 391.52.
The upper end of the interval is the sample mean added to M. So it is 398 + 6.48 = 404.48.
The CI is (391.52, 404.58), and the correct answer is given by option B.
help me plz find the value of x for which QR is parallel to RS
Answers
Given:
QR is parallel to RS.
To find:
The value of x.
Solution:
In the given figure, we have,
[tex]PR=12[/tex]
[tex]RT=2x-2 [/tex]
[tex]QS=21[/tex]
[tex]ST=3x-1[/tex]
Using basic proportionality theorem (BPT), we get
[tex]\dfrac{PR}{RT}=\dfrac{QS}{ST}[/tex]
[tex]\dfrac{12}{2x-2}=\dfrac{21}{3x-1}[/tex]
On cross multiplication, we get
[tex]12(3x-1)=21(2x-2)[/tex]
[tex]36x-12=42x-42[/tex]
[tex]36x-42x=12-42[/tex]
[tex]-6x=-30[/tex]
Divide both sides by -6.
[tex]x=\dfrac{-30}{-6}[/tex]
[tex]x=5[/tex]
Therefore, the value of x is 5.
Answer help on this !
Answers
If the triangles are similar, then the angles are all congruent.
Therefore, we can start by setting the two middle angles equal to each other.
4x + 7 = 5x - 10
7 = x - 10
x = 17
Middle angle = 75
Now that we know our x-value, we can simply plug in x for our other two expressions.
3 * 17 = 51
4(17) - 14 = 54
We can check to make sure that our angle measures are correct by adding them all up and making sure they equal 180.
54 + 51 + 75 = 180
180 = 180
Hope this helps!! :)
Answer:
54, 51, 75
Step-by-step explanation:
4x+7=5x-10 because they are vertical angles and are therefore equal to eachother. x=17.
After plugging the 17 into the equations you get 4(17)+7=75. 3(17)=51. All angles in a triangle add up to 180. We already have 75 and 51 in the first triangle, to get the third length you need to subtract that from 180. 180-75+51=54.
The second triangle will give you the same lengths. 5x-10=75. 4(17)-14=54. Again, 180-75-54=51.
Your final lengths are 75,51,54.
Verify the identity:
sin(A + B)
sin( A B)
tan(-4) + tan(B)
tan(4) tan(B)
Answers
Answer:
i think is the answer is
sin(A+B)
Answer:
Numerator:
sin (A + B) = sin A cos B + cos A sin BDivide by cos A cos B:
sin A /cos A + sin B /cos B = tan A + tan BDenominator:
sin (A - B) = sin A cos B - cos A sin BDivide by cos A cos B:
sin A /cos A - sin B /cos B = tan A - tan BConnect all bits together to get:
sin(A + B) / sin(A - B) = (tan A + tan B) / (tan A - tan B)An artist wants to scale down the surface area of an image by 20%. The image initially has a length of 22 ft. and a width of 22 ft. What is the width of the scaled down image? Round to the nearest hundredth.
17.08 ft.
17.89 ft.
18.78 ft.
19.68 ft.
Answers
Answer:
17.89 ft if I'm correct.....
Answer:
D. 19.68 ftStep-by-step explanation:
Area is the product of two dimensions.
If the scale factor is k, the ratio of areas is k².
20% down means 0.8 times:
k² = 0.8k = √0.8 = 0.8944Now the width of the image is:
22*0.8944 = 19.68 ft (rounded)Correct choice is D
Charlotte completed 12 pages of her 18-page report. What percent has she completed thus far?
Answers
Answer:
Charlotte has 23 of her book left to read. She can read 29 of it each day.
Step-by-step explanation:
Answer:
66.6666666667%
Step-by-step explanation:
12/18 = x/100
cross product
18x = 12(100)
18x = 1200
18× = 1200
__ _____
18 18
x=66.6666666667%
2/3 divided by 7/12
PLSLSLSLSLSLLSLSL
Answers
Answer:
0.00793650794 or 8/7 in fraction form
Step-by-step explanation:
Find the reciprocal of the divisor
2/7, 3/4, 2/3. Arrange it in ascending order
Answers
Answer:
2,7 2,3 3/4
Step-by-step explanation:
2,7 = 0.29 2,3 = 0.67 3/4 = 0.75
pleaseee help me I really need thissssss
Answers
Today, however, scientists have rejected the geocentric
model in favor of the heliocentric model. The heliocentric
model places the Sun at the center of the solar system.
(Helio means “Sun,” so heliocentric means
“Sun-centered.”) The invention of the telescope around the
year 1600 gave scientists a much more accurate view of
space from Earth. Using measurements made while looking
through telescopes, scientists such as Galileo Galilei
demonstrated the truth of the heliocentric model. The Sun is
the center of the solar system.
What is the Sun?
Earth’s Sun may seem different to us, but it is a star like all the other stars located outside the solar system. A star is an extremely hot, dense mass of gases. As these gases burn, the star gives off visible light, as well as other charged particles. Most of the energy that reaches our planet, including light and heat, comes from the Sun.
The Sun is actually medium-sized compared to other stars. Still, it is the most massive object in the solar system. The Sun has enough mass that its gravitational pull holds the planets and other objects in the solar system in orbit. As all of the other objects in the solar system orbit the Sun, the Sun rotates, or spins, about its axis.
The geocentric model (above) places Earth at the center of the solar system. Today, all scientists accept the heliocentric model (below), which places
the
Find an
angle in each quadrant with a common reference angle with 146°, from
o°=0<360°
Answers
Answer:
The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.
The equivalent angle on the third quadrant is 214º.
The equivalent angle on the fourth quadrant is 316º.
Step-by-step explanation:
On the first quadrant:
The equivalent in the second quadrant of a angle on the first quadrant a is 180 subtracted by the angle, that is, 180 - a.
In this question, the reference angle is 146º, which is on the second quadrant.
So, on the first quadrant:
146 = 180 - a -> a = 180 - 146 = 44.
The equivalent angle on the first quadrant is 44º. On the second quadrant, it is the given angle of 146º.
Third quadrant:
The equivalent angle on the third quadrant is 2 multiplied by 180 and subtracted by the second quadrant angle. So
2*180 - 146 = 360 - 146 = 214º.
The equivalent angle on the third quadrant is 214º.
Fourth quadrant:
The equivalent angle on the fourth quadrant is 360 subtracted by the angle on the first quadrant. So
360 - 44 = 316º
The equivalent angle on the fourth quadrant is 316º.
One way of checking the effect of undercoverage, nonresponse, and other sources of error in a sample survey is to compare the sample with known demographic facts about the population. The 2010 census found that 13.9%, or 32,576,000, of the 235,016,000 adults, aged 18 and over, in the United States identified themselves as of Hispanic origin. Is the value 13.9% a parameter or a statistic?
a. 13.9% is a parameter derived from a national Census that sampled 32,576,000 adults
b. 13.9% is a statistic derived from a national Census that sampled 32,576,000 adults
c. 13.9% is a parameter derived from a national Census that includes all individuals in a population
d. 13.9% is a statistic derived from a national Census that includes all individuals in a population.
Answers
Answer: Choice C
13.9% is a parameter derived from a national Census that includes all individuals in a population
======================================================
Explanation:
A census is a term in statistics that means that you survey or poll every individual in the population. In this case, the population is the set of people in the United States. As you can probably guess, a census takes a very long time, requiring lots of money and a lot of people to conduct it. The US census takes place every 10 years. The last of which happened in 2020. Despite the long time gap, census workers are always gearing up in the background getting ready for the next census on the horizon (since it's such a massive undertaking).
Because taking a census in statistics requires so much energy, it's often more effective to form a sample and try to see what the characteristics of that sample are like. If the sample is representative enough (ie is unbiased), then the sample statistics should be fairly close to the parameter counterparts. In this situation, we could maybe randomly select 10 states of the 50 total, and then ask everyone in those states what their ethnicity is. In this case, we're using a cluster sampling technique.
Engro Incorporation wants to evaluate an acquisition of an equipment worth $200,000. Its marginal tax rate is 40 percent. If purchased, the depreciation of equipment will take place at straight line method. The salvage value of the equipment is assumed to be $20,000 at the end of its useful life of 10 years. If the equipment is purchased, Engro will finance the asset through borrowing from bank at annual before tax cost of 10%. further, if Engro decides to purchase the equipment, it will incur $1000 as annual maintenance expense each year. These expenses would not be incurred if the computer is leased. If leased, Engro can have the equipment at $28000 pre-tax rate per year, which is to be paid at the beginning of each year. Company’s weighted average after tax cost of capital is 12 percent.
Compute the net advantage to leasing (8 marks)
What alternative, leasing or owning, should be chosen
Answers
Answer:
I din nosjwjfkwifowockwofkwkfkekfkamcqkkr1o4k30rjdogiq
What is the measure, in degrees, of the highlighted angle?
Answers
Answer:
[tex]36^\circ[/tex]
Step-by-step explanation:
If you add the measures of the two marked angles, you get [tex]180^\circ[/tex]. The two angles form what some call a linear pair.
Set up and solve an equation.
4x + x = 180
5x = 180
x = 180 / 5
x = 36 degrees
Write down the image of A(5,8) under reflection about Y-axis is
Answers
Answer:
Step-by-step explanation:
use formula
P(x,)=P'(-x,y)
A(5,8)=A'(-5,8)
Kate's dog was learning to balance a ball on his nose. The
first day he balanced the ball 6 out of 20 times; the second
day, 8 out of 25 times. Which day did he do better?
Answers
Make sure to give the dog treats every day.
Answer:
The answer is the first day
Lengths of full-term babies in the US are Normally distributed with a mean length of 20.5 inches and a standard deviation of 0.90 inches. (Each question is worth 3 points) What percentage of full-term babies are between 19 and 21 inches long at birth
Answers
Answer:
66.48% of full-term babies are between 19 and 21 inches long at birth
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean length of 20.5 inches and a standard deviation of 0.90 inches.
This means that [tex]\mu = 20.5, \sigma = 0.9[/tex]
What percentage of full-term babies are between 19 and 21 inches long at birth?
The proportion is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19. Then
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{21 - 20.5}{0.9}[/tex]
[tex]Z = 0.56[/tex]
[tex]Z = 0.56[/tex] has a p-value of 0.7123
X = 19
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{19 - 20.5}{0.9}[/tex]
[tex]Z = -1.67[/tex]
[tex]Z = -1.67[/tex] has a p-value of 0.0475
0.7123 - 0.0475 = 0.6648
0.6648*100% = 66.48%
66.48% of full-term babies are between 19 and 21 inches long at birth
brainliest for answer
Answers
Answer:
what is the question?
Step-by-step explanation:
Answer:
i answered
Step-by-step explanation:
algebra 2 question need help.
Answers
Answer: Choice B) -1, -2, -3, -4, -5
All of the x coordinates change from positive to negative. Meaning that something like x = 2 becomes x = -2.
More specifically, the point (2,4) moves to (-2,4).
The y coordinate of each point stays the same.
Drag each coordinate air to the correct location on the table
Quadrant
Quadrant
Quadrant
Quadrant
Reset
Next
Answers
Answer:
1-3, 2-1, 3-3, 4-4, 5-1, 6-3
Step-by-step explanation:
Its the top number in a row to colum
the polynomial x^+3x - 1 is a factor of x^3+2x^2-5x-6
Answers
Answer:
If its x^2 + 3x - 1 it is not a factor.
Step-by-step explanation:
x^2+3x - 1 is a factor of x^3+2x^2-5x-6?
Try dividing:
x^2+3x - 1 ) x^3 + 2x^2 - 5x - 6( x - 1
x^3 + 3x^2 - x
- x^2 -4x - 6
-x^2 - 3x + 1
- x - 7 <------- remainder.
Tickets to a local movie were sold at $6.00 for adults and $4.50 for students. If 240
tickets were sold for a total of $1275.00, how many student tickets were sold?
Answers
Answer:Set it up as two equations. Start off by stating that x= the number of adult tickets, and y= the number of student tickets.
6x+4.5y=2175
x+y=430
State that y = 430-x, and substitute it into the second equation 6x +4.5(430-x)= 2175.
Solve for x. Then plug in what you get for x into the x+y=430 equation and solve for y. Your number of adult tickets should equal 160, and your number of child tickets should equal 270.
Step-by-step explanation:
Can someone help me please.....
Answers
Answer:
the third one
Step-by-step explanation:
2 1/2
A total of 622 tickets were sold for the school play. They were either adult tickets or student tickets. There were 72 more student tickets sold than adult tickets. How many adult tickets were sold?
Answers
Answer:
257
Step-by-step explanation:
PLS DONT LIE OR FREE FLAG FOR U AND NO LINKS OR FLAGED
Answers
Answer:
16 ^3/2
Step-by-step explanation:
16 ^3/2 = 64, while all other choices are equal to 16.
Find the value of x.
135°
5x
Answers
Answer:
Step-by-step explanation:
180-135=45
5x=45°
45 divided by 5 =9
X=9°
Answer: 9
Step-by-step explanation: The answers 9 cus 135+5x has to equal 180 so u do 180 -135 =45 than divid 45 to 5 which equals 9
Find the volume of the trapezoidal prism.
7 in.
6 in.
12 in.
4 in.
Answers
Answer: 48
Step-by-step explanation: you will have to multiply
For football the KLAA south division has 6 teams. Find the number of different ways that first, second and third place can be decided. NO LINKS!!!
Answers
Answer:
20 ways
Step-by-step explanation:
by using combination rule :
6C3 = 6! /(3! × 3!)
= 6×5×4×3! / 3! × 3×2×1
= 20 ways
==========================================================
Explanation:
Order matters because we want to distinguish between first place, second place, and third place winners. So something like ABC is different from BCA.
We have 6 ways to pick a first place winner, then 5 for second place, then 4 for third place. Overall, there are 6*5*4 = 30*4 = 120 permutations
You could use the nPr formula with n = 6 and r = 3 as an alternative method
[tex]_n P _r = \frac{n!}{(n-r)!}[/tex]
The exclamation marks indicate a factorial.
What is the area of this composite figure
48.56cm2
49.12cm2
74.24cm2
36.56cm2
Answers
Answer:
D. 36.56 cm²
Step-by-step explanation:
The composite figure is composed of a rectangle and two semicircles.
The two semicircles makes 1 full circle.
Thus:
Area of the composite figure = area of rectangle + area of circle
= L*W + πr²
L = 6 cm
W = 4 cm
r = ½(4) = 2 cm
Area = 6*4 + π*2²
Area = 24 + 12.56
Area = 36.56 cm²
What is the length of NP?
Answers
Answer:
[tex]c=\sqrt{174}[/tex]
Step-by-step explanation:
First, find the length of MP. This can be done with the Pythagorean Theorem.
We can use x as angle MP.
a² + b² = c²
10²+ 7² = x²
100 + 49 = x²
x² = 149
Take the square root to get
x = √(149)
Now do the Pythagorean Theorem for Triangle MNP. We can again use x for angle NP.
a² + b² = c²
5² + √(149)² = c²
25 + 149 = c²
c² = 174
c = √(174)
The graph shows Micah’s pay for working different numbers of hours. Graph of a diagonal line on a coordinate plane with ALTDCTime worked in hoursALTDC on x-axis and ALTDCPay in dollarsALTDC on y-axis. The diagonal line is going up and to the right. Line passes through points (0, 0), (2, 30), (4, 60), A and (14, 210). A is at (8, 120) Part A What are the coordinates of Point A on the graph? Enter your answer in the boxes. ( , ) LIVE Part B What does the ordered pair for Point A represent? Use the drop-down menus to show your answer. When Micah works hours, he makes $ .
Answers
Answer:
Step-by-step explanation:
The coordinates for point A is (8,120)