If the matrix of coefficients of a homogeneous system of n linear equations in n unknowns does not have an inverse, then the system has infinitely many solutions. (a) Always true (b) Sometimes true (c) Never true, i.e., false (d) None of the above

Answer:

Step-by-step explanation:

From the given information;

We will realize that in the 2nd & 3rd equation, the integer "x" is missing.

So, the correct equation should be:

4x - 2 + 6z = 0

x - y - z = 0

2x - y + 3z = 0

By rearrangement; if we switch equation (1) and (2)

x - y - z = 0      ----- (1)

4x - 2 + 6z = 0 ------ (2)

2x - y + 3z = 0  ------ (3)

If we multiply equation (1) and add that to  equation (2);

Then, we have:

x - y - z = 0

2y + 10z = 0

2x - y + 3z = 0

Also, if we multiply equation (1) by -2 and add that to equation (3), we have:

x - y - z = 0

2y + 10z = 0

y + 5z = 0

From above recent equation, if we swap equation (2) and (3);

x - y - z = 0

y + 5z = 0

2y + 10z = 0

Then, multiply equation (2) with -2, followed by adding it to equation(3);

Then:

x - y - z = 0

y + 5z = 0

0 = 0

Now, there exists no equation (3). Thus, let assume z = t to solve for x & y

y + 5z = 0

y = -5t

Similarly;

x - y - z = 0

x = -5t + t

x = -4t

Hence;

x = -4t; y = -5t; &  z = t

Answer:

Kindly check explanation

Step-by-step explanation:

Given :

South Atlantic region :

Mean price = $165

Standard deviation = $30

Mid-Atlantic region :

Mean price = $170

Standard deviation = $15

Based on the mean price computed for the 100 retail stores in the study, we can conclude that the price of MP3 in the south Atlantic region is lesser than that of the mid Atlantic region ;

$165 < $170

However, we can conclude that the variation in the prices of MP3 varies greatly from one store to another in the south Atlantic region with a standard deviation of $30 while in the Mid Atlantic region, the prices are closer and less variable from one store to the other.

Answer:

970.150503788

Step-by-step explanation:

the answer is 0.875 soo use square root on both of them

9514 1404 393

Answer:

  D. y = -1/3x

Step-by-step explanation:

The line through the origin means the equation will be a proportion of the form y = kx. (You can also see this by looking at the answer choices.) The value of k is ...

  k = y/x . . . . . divide the above equation by x

For the given point (x, y) = (-3, 1), the value of k can be seen to be ...

  k = 1/-3 = -1/3

Then the equation for the line is ...

  y = -1/3x . . . . matches D

Answer:

The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

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 = 62 - 1 = 61

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 61 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.67

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.67\frac{15000}{\sqrt{62}} = 3181[/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 47000 - 3181 = $43,819

The upper end of the interval is the sample mean added to M. So it is 47000 + 3181 = $50,181

The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181

Answer:

10

Step-by-step explanation:

20/2=10

Answer:

0,0

Step-by-step explanation:

Answer:

free points ty

Answer:

picture is upside down

Answer:

285 ft²

Step-by-step explanation:

Hello There!

The figure shown is a composite figure so in order to find the total area we are going to need to split the irregular figure into two regular figures:

A parallelogram with the following dimensions

base = 15

height = 7

and a trapezoid with the following dimensions

base 1 = 11

base 2 = 13 (found by subtracting the height of the parallelogram ( 7 ) from the total height of the composite figure ( 20 ) 20 - 7 = 13 so the length of base 2 is 13 ft)

height = 15

Now that we have identified each dimensions of the two regular figures we need to find the area of each individual figure

For the parallelogram

The area of a parallelogram can simply be found by multiplying the height and the base

So A = 15 * 7

15 * 7 = 105 so the area of the parallelogram is 105 square feet

For the Trapezoid

The area of a trapezoid can be found by using this formula

[tex]A=\frac{a+b}{2} h[/tex] where a and b = bases and h = height

So using the information that we had found about the trapezoids dimensions we plug in the values

[tex]A=\frac{11+13}{2} 15\\11+13=24\\\frac{24}{2} =12\\12*15=180[/tex]

So the area of the trapezoid is 180 square feet

Finally we add the areas of the two regular figures

180 + 105 = 285

so we can conclude that the area of the composite figure is 285 ft²

Answer:

1.3 percent

Step-by-step explanation:

Answer:

13/10

Step-by-step explanation:

Its 13/10...

please give brainliest

Answer:

13/10

Step-by-step explanation:

Answer:

they need 4 buses

60+60+60=180 that does not get you to 196 so you would add 1 more bus

which equals 4 buses

Answer:

43,200

Step-by-step explanation:

25,000x .20=5,000

30,000 x .20=6,000

36,000x.20=7,200

43,200x.20=8,640

51,840x.20=10,368

The solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex] is  [tex]x=(-1)[/tex] .

A logarithm is the power to which a number must be raised in order to get some other number .

We have,

[tex]ln(2x + 4) = ln(x + 3)[/tex]

Now, apply log rules

As we have [tex](ln)[/tex] on both which will be cancel out,

⇒

    [tex]2x+4=x+3[/tex]

    [tex]3x=3-4[/tex]

    [tex]x=(-1)[/tex]

So, on getting solution to the given equation we get the value of [tex]x=(-1)[/tex] .

Hence, we can say that the solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex]  is  [tex]x=(-1)[/tex] .

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Answer:

a 6

Step-by-step explanation:

can i have brainlest

Answer:

Both.

Step-by-step explanation:

The perimeter of a trapezuun is given by : a + b + c + d ; where a, b, c, d are the lengtb of the sides of the trapezium.

The perimeter of the trapezium Given below is :

(4 + 6 + 4 + w + 2)

Evaluating both expressions :

Peter = 6 + 4 + (w + 2) + 4

Christine's expression = w + 16

From the expression, we can see that Peter's expression is correct s he wrote the sum of all the four sides

As for Christine's expression, it is also right ; as she added all the sides to obtain a reduced term

Hence, both are correct

Answer:

both of them are correct

Step-by-step explanation:

Solution :

The one sample proportion summary hypothesis test is :

p : proportion of successes

[tex]$H_0: p = 0.33 $[/tex]

[tex]$H_a : p > 0.33$[/tex]

The hypothesis test result by using the statistical software is :

Total = 930

Sample proportion = 0.37

Standard error = 0.0157

Z-stat = 1.697

P- value = 0.0448

Therefore, the hypothesis   [tex]$H_0:p = \frac{1}{3} \text{ versus}\ H_a: p > \frac{1}{3}$[/tex]   is correct.

  And conclusion : Fail to reject [tex]$H_0$[/tex]. As we do not have any convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning.

Answer: hello your question is incomplete below is the complete question

Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two new random variables as Z = 11 - X + X²Y, W = 3-Y. find cov ( Z, W )

answer : Cov ( Z, W ) = -1

Step-by-step explanation:

Z = 11 - X + X²Y

w = 3 - Y

Cov ( Z, W ) = Cov ( 11 - x + x^2 Y , 3 - Y )

  = Cov ( 11, 3 ) - Cov ( 11, Y ) - Cov(x,3) + cov (x,y) + cov(x^2y, 3) -cov (x^2y, y )

attached below is the remaining part of the detailed solution

hence

Cov ( Z, W ) = -1

Answer:

the answer is A) 59, 681

Step-by-step explanation:

all you have to do is subtract

so 95,216 - 35,535= 59,681

hope i helped

-lvr

Answer:

x = 8

Step-by-step explanation:

6 = 14 - x

chance the equation around so it is solvable

14 - x = 6

14 - 6 = x

now solve

14 - 6 = 8

that means x equals 8 so

6 = 14 - 8

Answer:

x=8

Step-by-step explanation:

To solve for x...

6 = 14 - x

Subtract 14 from both sides

6 - 14 = - x

Simplify

- 8 = - x

divide the - symble out of both sides to get x alone

x = 8

Answer:

7/24 is x and 24/25 is y :)

Step-by-step explanation:

hopefully that helped

Answer:

Lateral area -288. Surface area-96

Step-by-step explanation: teacher told me

Answer:

8

Step-by-step explanation:

Answer:

Option A. x = –5 ± √133 / –6

Step-by-step explanation:

0 = –3x² + 5x + 9

From the above equation the following data were obtained:

Coefficient of x² (a) = –3

Coefficient of x (b) = 5

Constant (c) = 9

Using formula method, the solution to the equation can be obtained as follow:

x = –b ± √(b² – 4ac) / 2a

a = –3

b = 5

c = 9

x = –5 ± √(5² – 4 × –3 × 9) / 2 × –3

x = –5 ± √(25 + 108) / –6

x = –5 ± √133 / –6

Thus, option A gives the correct answer to the question.

Answer:

3/10

Step-by-step explanation:

then after reducing you get 3/10

The area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We have a rectangular plaza that measures 3/8 mile by 4/5 mile.

Here the length L = 3/8

And width W = 4/5

Area of rectangular plaza = L×W = (3/8)×(4/5)

= 12/40 square miles or

= 0.3 square miles

Thus, the area of the rectangular plaza is 12/40 square miles or 0.3 square miles if the rectangular plaza measures 3/8 mile by 4/5 mile.

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Answer:

37.1 ft

Step-by-step explanation:

Draw a right triangle with a horizontal side and a vertical side going up from one endpoint of the horizontal side. These two sides form the right angle of the triangle. Then draw a hypotenuse. The hypotenuse has length 40 ft. The acute angle at the end to the horizontal side measures 51°.

Let the length of the vertical side be y.

sin 51° = y/40

y = 40 * sin 51°

y = 31.1

The horizontal side of the triangle is not the ground. It is at the height of Jennifer's hand. Now we add 6 ft to the height.

31.1 ft + 6 ft = 37.1 ft

Answer: 37.1 ft