Suppose that the system will work if components 1 and 2 are both working, or if components 3 and 4 are both working, or if components 1, 3, and 5 are all working. Let W be the event that the system will work. Specify all the outcomes in W.

Answer:

x = -0.6

y = 2.2

z = 2

Step-by-step explanation:

2x + y - 2z = -3

x + 3y - z = 4

3x + 4y - z = 5

Rewrite the system in matrix form and solve it by Gaussian Elimination (Gauss-Jordan elimination)

2 1 -2 -3

1 3 -1 4

3 4 -1 5

R1 / 2 → R1 (divide the 1 row by 2)

1 0.5 -1 -1.5

1 3 -1 4

3 4 -1 5

R2 - 1 R1 → R2 (multiply 1 row by 1 and subtract it from 2 row); R3 - 3 R1 → R3 (multiply 1 row by 3 and subtract it from 3 row)

1 0.5 -1 -1.5

0 2.5 0 5.5

0 2.5 2 9.5

R2 / 2.5 → R2 (divide the 2 row by 2.5)

1 0.5 -1 -1.5

0 1 0 2.2

0 2.5 2 9.5

R1 - 0.5 R2 → R1 (multiply 2 row by 0.5 and subtract it from 1 row); R3 - 2.5 R2 → R3 (multiply 2 row by 2.5 and subtract it from 3 row)

1 0 -1 -2.6

0 1 0 2.2

0 0 2 4

R3 / 2 → R3 (divide the 3 row by 2)

1 0 -1 -2.6

0 1 0 2.2

0 0 1 2

R1 + 1 R3 → R1 (multiply 3 row by 1 and add it to 1 row)

1 0 0 -0.6

0 1 0 2.2

0 0 1 2

x = -0.6

y = 2.2

z = 2

Answer:

x < 11

Step-by-step explanation:

8 - 3x > -25

Subtract 8 from each side

8 - 3x-8 > -25-8

-3x> -33

Divide each side by -3, remembering to flip the inequality

-3x/-3 < -33/-3

x < 11

Answer:

4

Step-by-step explanation:

yes.

Answer:

4.6 per hour

Step-by-step explanation:

Decrease, means subtraction; 100% - 8% = 92%, or 0.92.

0.92(5) = 4.6 per hour

Answer:

i think 6 x 72 = calculator

Step-by-step explanation:

Answer:

6 x 70 = calculator

Step-by-step explanation:

Answer:

The answer is D because it wants the total distance covered on the three days, not how many he walked per day (which would be B)

Step-by-step explanation:

I hope this helped :)

Answer:

x = - 6 y = 13

Step-by-step explanation:

we know when the diagonals bisect it divides into two equal parts so

-4x - 2 = -3x + 4

-4x + 3x = 4 + 2

- x = 6

x = - 6

Now

2y + 8 = 3y - 5

3y - 2y = 8 + 5

y = 13

Hope it will help :)❤

Answer:

A

Step-by-step explanation:

8/13 = 8 divided by 13

because it is  thedivided by the denominator

[tex]\left \{ {{y= numerator} \atop {x=denominator}} \right.[/tex]

Answer:

C. 70

Every triangle's interior angles add up to 180°, and a flat line is eqal to 180°.

180°-115°=65°

180°-135°=45°

65+45=110

180-110=70

Answer:

70

Step-by-step explanation:

trus me .have no if we day

Answer: Nothing

Step-by-step explanation: There aren't any numbers that multiply to equal 6 but add to be -1.

There aren't any numbers that multiply to equal 6 but add to be -1 but we can say -6 and positive 1.

An equation is an expression that shows the relationship between two or more numbers and variables.A mathematical equation is a statement with two equal sides and an equal sign in between. example, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

For that , we need to try solving it first using the method of substitution in which we express one variable in other variable's form and then it can substitute this value in other equation to get linear equation in one variable.

We need to find the number that equals 6 but adds to -1.

We can see that there aren't any numbers that multiply to equal 6 but add to be -1.

So, we conclude that number could be -6 and positive 1.

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

Answer:

Step-by-step explanation:

I HOPE IT HELPS :)

Answer:

65

Step-by-step explanation:

8^2 - (6+3) + 10

PEMDAS says parentheses first

8^2 - (9) + 10

Then exponents

64 - (9) + 10

Then add and subtract from left to right

55 +10

65

Answer:65

Step-by-step explanation:

8^2 -(6+3) +10

8^2-9+ 10 . Do parenthesis

64-9+10. Do the exponent

55+10. Subtract

65. Add

brainliest requested.

Answer:

Not sure

Step-by-step explanation:

the answer is c

let's check

-4(1)+3=-1

-4(2)+3=-5

.......

Answer:

yes.

Step-by-step explanation:

2.4 + 6.5 = 8.9 (triangle inequality)

8.9 > 7.4

= it is possible to make a triangle wit these measurements.

Answer: 8

Step-by-step explanation:

From the question, we are informed that Hilary has 48 building blocks in the red bucket which is 6 times as many blocks in the green bucket.

Let the number of building blocks that are in the green bucket be represented by x.

Based on the scenario given in the question, this will be:

6 × x = 48.

6x = 48

x = 48/6.

x = 8

This means that there are 8 green building blocks

Answer:

Let's solve your equation step-by-step.

−5(3−x)+4=5x−11

Step 1: Simplify both sides of the equation.

−5(3−x)+4=5x−11

(−5)(3)+(−5)(−x)+4=5x+−11(Distribute)

−15+5x+4=5x+−11

(5x)+(−15+4)=5x−11(Combine Like Terms)

5x+−11=5x−11

5x−11=5x−11

Step 2: Subtract 5x from both sides.

5x−11−5x=5x−11−5x

−11=−11

Step 3: Add 11 to both sides.

−11+11=−11+11

0=0

Answer:

Because besides for the principal amount, it has a steady growth. In simple interest, it is a linear equation.

Step-by-step explanation:

Answer:

its closer to 1....

Step-by-step explanation:

1/2 is half

so...

half of 15 is 7.5

8 is larger than 7.5

so that makes it closer to one

Answer:

The number of cups of seeds that Sarah put in each bird feeder each day is:

= 4/7 or 0.57 cups.

Step-by-step explanation:

a) Data and Calculations:

Number of cups of seeds = 12 cups

Number of bird feeders = 3

Therefore, each bird feeder will get 12/3 = 4 cups per week

In a week, there are 7 days.

This implies that each bird feeder will get 4/7 cups

This is equivalent to 0.57 cups for each bird feeder per day.

b) Sarah will be putting 4/7 cups of seeds in each bird feeder.  When 4/7 is multiplied by 3 *7, we get a total of 12 cups, which represent the total number of cups of seed given initially to Sarah.

Answer:

The number of cups of seeds that Sarah put in each bird feeder each day is: = 4/7 or 0.57 cups.

Step-by-step explanation:

Answer:

I'm not sure but I think it is letter A

Step-by-step explanation:

Because first off 0 is divisible by any integer number meaning it has to be divide by a whole number not fraction. Also, 0 + 2 = 2 then you divide that by 4 is 0.5.

Answer:

25 is 2.5 standard deviations from the mean.

Step-by-step explanation:

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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.

In this question:

Mean of 15 and a standard deviation of 4, so [tex]\mu = 15, \sigma = 4[/tex]

How many standard deviations from the mean is 25?

We have to find Z when [tex]X = 25[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25 - 15}{4}[/tex]

[tex]Z = 2.5[/tex]

So 25 is 2.5 standard deviations from the mean.

Answer:

2.5

Step-by-step explanation:

i just took the test

Answer : The surface area of triangular prism is 1080 in².

Step-by-step explanation :

Formula used to calculate the surface area of triangular prism is:

Surface area of triangular prism = (2 × Area of triangle) + Area of all rectangle

Area of triangle = [tex]\frac{1}{2}\times base\times height[/tex]

Area of rectangle = length × breadth

In the given triangular prism, there are 2 triangles and 3 different rectangles.

Surface area of triangular prism = [tex](2\times \frac{1}{2}\times base\times height)[/tex] + Area of rectangle ABCF + Area of rectangle ABDE + Area of rectangle CDEF

Surface area of triangular prism = [tex](2\times \frac{1}{2}\times 10\times 24)+(24\times 14)+(26\times 14)+(14\times 10)[/tex]

Surface area of triangular prism = 1080 in²

Therefore, the surface area of triangular prism is 1080 in².

Answer:

C

Step-by-step explanation:

a function means each x value will have only one outcome

example, (8,5) (9,5) is ok but (8,6) (8,10) isnt

Answer: The correct answer is "C" because (x, y) represent a function of ordered pairs like {(-1, 1), (0, 0), (1, 1), (2, 2)}.     :)

Step-by-step explanation:

Answer:

Option C : add 7 to both sides of the equation is the correct answer.

Step-by-step explanation:

Given that:

Sarah is solving the following equation.

r - 7 = 234

Sarah wants to use inverse operations.

In inverse operation she will eliminate 7 from left side of the equation by adding 7 to the both sides of the equation.

Hence,

Option C : add 7 to both sides of the equation is the correct answer.

Answer:

3x-5y=20

-3x=

5y=3x-20

/5=

y=(3x/5) - (20/5)

y=3/5-4

Answer:

26.25

Step-by-step explanation:

I'm not sure if I'm right but I did 37.5 - 15 and I got 22.5. 22.5 divided by 2 gives me 11.25, so I added 15 and 11.25 which gives me 26.25