1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga nikolaevna [1]
3 years ago
5

Which classification best describes the following system of equations? 3x+6y-12z=36 x=2y-4z=12 4x+8y-16z=48 inconsistent and dep

endent consistent and dependent consistent and independent inconsistent and independent
Mathematics
1 answer:
Viktor [21]3 years ago
6 0

<u>Answer:</u>

Consistent and dependent

<u>Step-by-step explanation:</u>

We are given the following equation:

1. 3x+6y-12z=36

2. x+2y-4z=12

3. 4x+8y-16z=48

For equation 1 and 3, if we take out the common factor (3 and 4 respectively) out of it then we are left with x+2y-4z=12 which is the same as the equation number 2.

There is at least one set of the values for the unknowns that satisfies every equation in the system and since there is one solution for each of these equations, this system of equations is consistent and dependent.

You might be interested in
What is the minimum number of binary bits needed to represent each of the following unsigned decimal integers? a. 65
professor190 [17]

Answer: N >/= 7 bits

Minimum of 7 bits

Step-by-step explanation:

The minimum binary bits needed to represent 65 can be derived by converting 65 to binary numbers and counting the number of binary digits.

See conversation in the attachment.

65 = 1000001₂

65 = 7 bits :( 0 to 2^7 -1)

The number of binary digits is 7

N >/= 7 bits

7 0
3 years ago
Read 2 more answers
A circle circumference is 600 M. what is the good approximation of the circle area​
wlad13 [49]

Answer:

The area of the circle is 28662 M².

Step-by-step explanation:

Given:

Circumference of circle = 600 M.

Now, to find the area of the circle.

So, <em>to get the area we need to find the radius.</em>

By putting the formula of circumference we get the radius:

Let the radius be r.

Circumference = 2πr

600 = 2\times 3.14\times r (taking the value of π = 3.14.)

600=6.28r

Dividing both sides by 6.28 we get:

95.54=r

Now, <em>for getting the area we put the formula:</em>

Area = πr²

Area = 3.14\times 95.54^{2}

Area = 3.14\times 9127.89

Area = 28661.57

So, <u><em>approximately the area of  the circle = 28662 M²</em></u>.

Therefore, the area of the circle is 28662 M².

4 0
3 years ago
How do you complete this task?
Assoli18 [71]

Answer:

-3/2

Step-by-step explanation:

y=mx +b

where m is the slope and b is the y intercept

we just need to rewrite 3x+2y+18=0 to look like that

We need to get y by itself

3x+18= -2y

we need y to be positive and to have no number in front of it (no coeficcent)

y= -3/2x-9

the slope is therefore -3/2

3 0
2 years ago
Read 2 more answers
One stats class consists of 52 women and 28 men. Assume the average exam score on Exam 1 was 74 (σ = 10.43; assume the whole cla
Svetllana [295]

Answer:

(A) What is the z- score of the sample mean?

The z- score of the sample mean is 0.0959

(B) Is this sample significantly different from the population?

No; at 0.05 alpha level (95% confidence) and (n-1 =79) degrees of freedom, the sample mean is NOT significantly different from the population mean.

Step -by- step explanation:

(A) To find the z- score of the sample mean,

X = 75 which is the raw score

¶ = 74 which is the population mean

S. D. = 10.43 which is the population standard deviation of/from the mean

Z = [X-¶] ÷ S. D.

Z = [75-74] ÷ 10.43 = 0.0959

Hence, the sample raw score of 75 is only 0.0959 standard deviations from the population mean. [This is close to the population mean value].

(B) To test for whether this sample is significantly different from the population, use the One Sample T- test. This parametric test compares the sample mean to the given population mean.

The estimated standard error of the mean is s/√n

S. E. = 16/√80 = 16/8.94 = 1.789

The Absolute (Calculated) t value is now: [75-74] ÷ 1.789 = 1 ÷ 1.789 = 0.559

Setting up the hypotheses,

Null hypothesis: Sample is not significantly different from population

Alternative hypothesis: Sample is significantly different from population

Having gotten T- cal, T- tab is found thus:

The Critical (Table) t value is found using

- a specific alpha or confidence level

- (n - 1) degrees of freedom; where n is the total number of observations or items in the population

- the standard t- distribution table

Alpha level = 0.05

1 - (0.05 ÷ 2) = 0.975

Checking the column of 0.975 on the t table and tracing it down to the row with 79 degrees of freedom;

The critical t value is 1.990

Since T- cal < T- tab (0.559 < 1.990), refute the alternative hypothesis and accept the null hypothesis.

Hence, with 95% confidence, it is derived that the sample is not significantly different from the population.

6 0
3 years ago
Theresa and Mark are playing cards. Each card is -50 points.
Amiraneli [1.4K]

*Since each card is worth -50 points, you need to remember that a positive times a negative integer gives you a negative integer.*

Part A) Theresa has 5 cards so: 5 x -50 = -250

Theresa has -250 points.

Part B) Mark has 8 cards so: 8 x -50 = -400

Mark has -400 points.

Part C) Theresa has more points because -250 is closer to 0 on a number line.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the mode of 49,41,41,44,44,37,38,42,41,39,44,39,37,44,42
    14·2 answers
  • Find tenth term of the sequence (1,1,2,3,5,8,13)
    14·1 answer
  • After a storm, the Serafina family needs to have their roof replaced. Their house is in the shape of a pentagonal prism with the
    7·1 answer
  • A culture started with 5000 bacteria. after 7 hours, it grew to 6500 bacteria. predict how many bacteria will be present after 1
    10·1 answer
  • 91,007,500 in scientific notation
    9·2 answers
  • Suppose Kristen is researching failures in the restaurant business. In the city where she lives, the probability that an indepen
    6·1 answer
  • Answer the question below for brainliest
    14·1 answer
  • Find the new number given the Original number and the percent of change
    14·2 answers
  • Which pair of lines appears to be perpendicular?<br> ОА.<br> +XI<br> B
    10·1 answer
  • Which value of k would cause the system of linear equations 35 x 14 y = 119 and 5 x 2 y = k to have an infinite number of soluti
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!