Use a matrix to solve the system:
3x + 2y – z = 17
x - 2y - 4z = 5
2x + y + 2z = 5

Answers

Answer 1

Hello

Answer un excel file

[tex]\left[\begin{array}{ccc}3&2&-1\\1&-2&-4\\2&1&2\end{array}\right] *\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}17\\5\\5\\\end{array}\right][/tex]

Gaussian 's method

x=3

y=3

z=-2


Related Questions

if a student is selected at random, find the probability the student is a junior. round to the nearest whole percent! i’m not good at probability so an explaination would be appreciated!!!

Answers

Answer:

the answer is 40%.

Step-by-step explanation:

probability= total number of juniors all over total number.

that is , 8

20

2

5

rounding it the nearest whole percent is

2 × 100

5

40%.

The probability that the selected student is a junior is 27%.

What is the probability of an event?

The probability of an event is the ratio of the number of outcomes favorable to the event to the total number of outcomes for the event. This represents the chance for the event to take place.

If A is the event, n is the number of outcomes favorable to the event and S is the total number of outcomes, then the probability of the event A is given as:

P(A) = n/S.

How do we solve the given question?

We are given a two-way table showing the number of freshmen, sophomores, juniors, and seniors in the class with respect to their gender.

We are asked to find the probability of selecting a junior student while picking a random student from the class.

Let the event of selecting a junior student from the class be A.

Number of favorable outcomes to event A (n) = 2 + 6 = 8 (junior males + junior females)

Total number of outcomes (students in the class) (S) = 4 + 6 + 2 + 2 + 3 + 4 + 6 + 3 = 30.

∴ The probability that the selected student is a junior is given by:

P(A) = n/S = 8/30

or, P(A) = (8/30)*100% = 26.67% = 27% (rounding to the nearest whole percent).

∴ The probability that the selected student is a junior is 27%.

Learn more about the probability of an event at

https://brainly.com/question/7965468

#SPJ2

Open with Angles p and q are complementary, p is four times the size of q. What is the size of q ? ​

Answers

Answer:

p = 72

q = 18

Step-by-step explanation:

Complementary means they add to  90o

p + q = 90

p = 4*q

Substitute 4q for p

4q + q = 90            Combine

5q = 90                  Divide by 5

5q/5 =90/5

q = 18

p = 4q

p = 4*18

p = 72

how do you find volume of sphere, cylinder, cone ? ... explaining please

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a sphere is given by :

[tex]V_s=\dfrac{4}{3}\pi r^3[/tex]

Where

r is the radius of the sphere

The formula for the volume of a cylinder is given by :

[tex]V_c=\pi r^2 h[/tex]

Where

r and h is the radius and height of the cylinder

The formula for the volume of a cone is given by :

[tex]V_C=\dfrac{1}{3}\pi r^2 h[/tex]

Where

r and h is the radius and height of the cone

Help me please!!! Who ever helps gets brainliest!!!!!
Evaluate 3 + (-h) + (-4) where h = -7.

Answers

[tex]\boxed{6}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 + ( - h) + ( - 4)[/tex]

Putting the value "h = -7" in the above expression, we have

[tex]3 + [ - ( - 7)] - 4 \\ = 3 + 7 - 4 \\ = 10 - 4 \\ = 6[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

( And )

[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

6

Step-by-step explanation:

Replace h with -7

3+ [-(-7)]+(-4)

Multiply the negative with -7. The answer for it is 7

Add 3 and 7, which is 10

Subtract 10 with -4 which is 6

Answer is 6

Hope this helps!

If A/B and C/D are rational expressions, then A/B ÷ C/D = (AC)/(B/D)
true or false​

Answers

9514 1404 393

Answer:

  False

Step-by-step explanation:

  (A/B) ÷ (C/D) = (A/B) × (D/C) = AD/(BC) ≠ AC/(B/D)

Assume that a standard number cube is rolled.Find the theoretical probability of each event to the red box that has the correct solution

Answers

Answer:

well rolling a 1 would be a 1 in 6 chance as would rolling 2 be a 1 in 6 chance

Step-by-step explanation: if this is not what you are looking for post a picture so I can answer correctly

Classify each triangle as right triangle or not right triangle

Answers

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

21^2+20^2=29^2

441+400=841

841=841

since the sum of square of two smaller sides is equal to the square of longest side .The given triangle can form right angle.

MT is a diameter of OE. Calculate the measure of ZMTH.

A. 17°

B. 34°

C. 68°

D. 146

NEED HELP please, check the picture

Answers

Answer:

A. 17°

Step-by-step explanation:

Recall: measure of an inscribed angle = ½(intercepted arc)

Inscribed angle = m<MTH

Intercepted arc = arc MH = 34°

Therefore,

m<MTH = ½(Arc MH)

Substitute

m<MTH = ½(34)

m<MTH = 17°

Solve 5(11x - 2) = 155

Answers

Answer:

3

Step-by-step explanation:

5(11x-2) = 155

⇔ 55x - 10 = 155

⇔ 55x = 155 + 10

⇔ 55x = 165

⇔ x = [tex]\frac{165}{55}[/tex]

⇔ x = 3

Answer:

x=3

Step-by-step explanation:

5(11x - 2) = 155

Divide each side by 5

5/5(11x - 2) = 155/5

11x-2 = 31

Add 2 to each side

11x-2+2 = 31+2

11x=33

Divide by 11

11x/11 = 33/11

x=3

if I choose two cards, one of the time, from a standard deck of cards, what’s my probability that I choose A red card, then without putting it back to a black card

Answers

Answer:

P(Red) = 26/52, P(Black) = 26/51

Step-by-step explanation:

There are 26 red cards and 26 black cards in a standard deck of 52 cards.

This means the probability of picking a red card from the deck is 26/52.

Now, since we are taking out the red card after drawing from the deck, we only have 51 cards. Therefore, the probability of picking a black card from the deck is 26/51.

Question 4 of 25 There are 6 brooms and 4 mops in a janitor's closet. What is the ratio of the number of brooms to the number of mops? 3/5 ​

Answers

Answer:the ratio of brooms to mops is 3:2

Step-by-step explanation:

6:4 can be simplified to 3:2

Answer:

6:4

Step-by-step explanation:

also can be simplified 3:2

Pleaseeee help is for today

Answers

Answer:

4

Step-by-step explanation:

yes

someone knows thiss?

Answers

The equation of the line is :
y = -2x + 9


Work:
y = mx + b
y = -2x + b
7 = -2(1) + b
7 = -2 + b
9 = b

5 1/2 qt -_= 4 cups plreaseeeee help

Answers

Answer: 5.5 quarts = 22 cups

Step-by-step explanation:

1 cup = 4 cups

to convert cups to quart, just multiply by 4

5.5 x 4 = 22

If you know how to solve this, Please answer it. Thank You

Please show your work and the steps.

The first one to answer the question right, will get Brainlist!

I PROMISE!!!!!​​​

Answers

Answer:

Step-by-step explanation:

Work done by Kayla in 1 hour = 1/15

Work done by Jennifer in 1 hour = 1/16

Work done by both Kayla and Jennifer = [tex]\frac{1}{15}+\frac{1}{16}[/tex]

                 [tex]= \frac{1*16}{15*16}+\frac{1*15}{16*15}\\\\=\frac{16}{240}+\frac{15}{240}\\\\=\frac{31}{240}\\[/tex]

Hours taken  by both = 240/31 = 7  23/31 hours

A right triangle has side lengths d, e, and f as show below. Use these lengths to find Sin x, cos x, and tan x. (marking BRAINLEST)​

Answers

Answer:

Sine of X = d/f

Cos of X = e/f

Tan of X = d/e

Step-by-step explanation:

In this case, the opposite is d, the adjacent is e and the hypotenuse is f.

sin is opposite/hypotenuse

cos is adjacent/hypotenuse

and

tan is opposite/adjacent

Suppose you plan to go out for a picnic during spring break. You plan to bring sandwiches, fruits, and drinks. But you only have one picnic basket that can only hold a certain capacity. Each of the items has a value and a size, and you cannot hold all your items in the basket. The picnic basket can hold a total size of 17. Given that the size and the value of items are as follows, how many of each item should you bring to maximize the total value?
Size Value
Sandwich 9 6
Fruit 3 4
Drink 4 6
a) List and explain carefully what the decision variables are.
b) Write out the objective function.
c) Write out the constraints.
d) Write the linear program.
e) Solve the Linear Programming problem using excel. Show your results.

Answers

Answer:

e) z (max) = 24

x₁  =  x₂  = 0     x₃  = 4

Step-by-step explanation:

a) The problem requires maximizing the total value from sandwich fruits and drink, therefore the objective function is associated to the sum of the values of each value.

We have three variables xi  ( x₁, x₂, x₃ ) the values of sandwich, fruits and drink, and we have to maximize such quantities subject to the constraint of size (the capacity of the basket)

b) z  = 6*x₁  +  4*x₂  + 6*x₃      Objective Function

Constraint :

basket capacity  17

9*x₁  +  3*x₂  +  4*x₃  ≤  17

General constraints:

x₁   ≥  0     x₂    ≥  0     x₃  ≥  0    all integers

e) z (max) = 24

x₁  =  x₂  = 0     x₃  = 4

NOTE: Without the information about fractional or decimal feasible solution we decided to use integers solution

Find the distance between the two points. Round to the nearest tenth if necessary. (0, 7), (–12, –2)

Answers

Answer:

Distance = 15 units

Step-by-step explanation:

[tex]Let \ (x_1 , y_ 1 ) = ( 0 , 7 ) \ , \ (x _ 2 , y _ 2 ) \ = ( -12 , -2 ) \\\\Dsitance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1 )^2} \\\\[/tex]

             [tex]= \sqrt{(-12 - 0)^2 + ( -2 - 7)^2} \\\\=\sqrt{12^2 + 9^2 }\\\\=\sqrt{144 + 8 1} \\\\= \sqrt {225 } \\\\= 15[/tex]

Answer:

( 12 , - 10 )

Step-by-step explanation:

Difference between the x points : 0 - ( - 12 ) = 12

Difference between the y points : - 12 - ( - 2 ) = -10

There fore the difference ( 12 , - 10 )

Hopefully this is what you mean

Have a nice day !

lim (x->0) ((x^3 - 2x) ln(1+sinx))/ ln(cos 3x)

Answers

Answer:

qijejejsllaoajvrjaoaq

Find the area of each sector. Omg please help due in 5 min!!

Answers

The answer is C (289pi/6 mi2)

Pls write answer as soon as possible

Answers

Answer:

Step-by-step explanation:

11.-3(2x-8)=-12

-6x+24=-12

-6x=-12-24

x=-36/-6

x=6

12.4(6+2x)=0

24+8x=0

8x=0-24

x=-24/8

x=-3

13.3x+2x+6=-15

5x+6=-15

5x=-15-6

x=-21/5

14.4=-2(x+3)

4=-2x-6

4+6=-2x

10/-2=x

-5=x

15.27=46+2x-x

27=46+x

27-46=x

-19=x

Answer:

11.  -6

12.  -3

13.  4.2

14.  -5

15.  -19

Step-by-step explanation:

Check the pictures. Would take too long for me to type it all out.

you can play one game for free. Which game has a higher expected value:
a. a 0% chance of winning $1,000
b. a 10% chance of winning $50
c. a 100% chance of winning $1
d. a 25% chance of winning $100

Answers

Option d

a. 0 * 100 = $0
b. 0.1 * 50 = $5
c. 1.00 * 1 = $2
d. 0.25 * 100 = $25

Which inequality represents all values for X for which the product below is defined?

Answers

Answer:

x ≥0

Step-by-step explanation:

Given the product:

√(5x)*√(x+3)

The function has to be defined if x ≥0

Hence;

√(5x)*√(x+3)≥0

Find the product

√(5x)(x+3)≥0

Square both sides

(5x)(x+3)≥0

5x≥0 and x+3≥0

x≥0/5 and x ≥0 - 3

x ≥0 and x ≥-3

Hence the required inequality is x ≥0

Which type of function is shown in the table below?
x f(x)
1 8
2 15
3 24
4 35
5 48

Answers

Answer:

2 15 sorry po kung mali

Step-by-step explanation:

Wala pong step by step

In a class of 35 students 1/5

of total students like to play cricket, 2/5 of students like to play football, remaining students like to play volleyball

i) How many students like to play cricket

ii) How many students like to play football?

iii) How many students like to play volleyball?

if you answer correctly you wil get brainliest plus 10 points

if you give wrong answer your wrong answer will be reported

only people who know maths well can give correct answer.

Good luck​

Answers

Answer:

7 play cricket

14 play football

21 play volleyball

Step-by-step explanation:

Evaluate 32 to the power of -2/5

Answers

Answer:

Step-by-step explanation:

32=-80*(-2/5) bấm máy là ok mà

Answer:

[tex] {32}^{ \frac{ 2}{ - 5} } [/tex]

note that it's not important if the minus sign is with the 2 or with the 5, it allows us to calculate

[tex] {32}^{2} [/tex]

first, and then take the 5th root from the solution

[tex] {1024}^{ \frac{1}{ - 5} } [/tex]

=

[tex] \sqrt[ - 5]{1024} = \frac{1}{4} [/tex]

I solved the last part with a virtual calculator, but double checked it (see screenshot)

Niccola travels at an average speed of 40 mph for 50 miles.
Without stopping, Niccola then travels 60 miles in 1.75 hours.
Find her average speed for the entire journey to 2 dp.

Answers

Answer:

Step-by-step explanation:

I am sorry i need points, i cant

Malaria is a leading cause of infectious disease and death worldwide. It is also a popular example of a vector-borne disease that could be greatly affected by the influence of climate change. The scatterplot shows total precipitation (in mm) in select cities in West Africa on the x axis and the percent of people who tested positive for malaria in the select cities on the y axis in 2013. Precipitation is the __________ variable

Answers

Answer:

independent and explanatory

Step-by-step explanation:

In a study, an independent variable may be defined as the variable that does not affect the other variables in the study when it is changed. Thus a variable is said to be independent when it is not affected by the any other variable in the study.

Whereas, an explanatory variable can be manipulated or changed by the experimenter. It is the variable that is not independent for certain variables.

Thus in the context, the scatterplot showing the total precipitation and the percent of the people who tested positive for the malaria test. The precipitation from the graph is the independent as well as the explanatory variable.

The measure of angle NOP is 140
Which of the equations could be used to find the measure of angle NOQ?

Answers

Answer:

a) 23 + x = 140

Step-by-step explanation:

140 - 23 = 117

the angle x = 117°

A = {5, 6, 7, 8, 9, 10} and B = {2, 3, 4, 5, 11, 12, 13}. What is A∪B? What is A∩B?

Answers

Step-by-step explanation:

A U B= {2,3,4,5,6,7,8,9,10,11,12,13}

A n B= {5}

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