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Elena L [17]
3 years ago
15

Determine if the statement is true or false:

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
8 0

Answer:

Step-by-step explanation:

given are four statements and we have to find whether true or false.

.1 If two matrices are equivalent, then one can be transformed into the other with a sequence of elementary row operations.

True  

2.Different sequences of row operations can lead to different echelon forms for the same matrix.

True in whatever way we do the reduced form would be equivalent matrices

3.Different sequences of row operations can lead to different reduced echelon forms for the same matrix.

False the resulting matrices would be equivalent.

4.If a linear system has four equations and seven variables, then it must have infinitely many solutions.

True, because variables are more than equations.  So parametric solutions infinite only is possible

You might be interested in
1 2 3 4 5 6 7 8 9 10 11 12 13
Rina8888 [55]

Answer:

The mean will increase more than the median, but both will increase.

[third option listed]

Step-by-step explanation:

the <em>median </em>of a data set is the number in the middle [when listed from lowest to highest in value]

1 2 3 4 5 6 7 8 9 10 11 12 13

is the current median

let's consider what adding 12 would mean--it would mean that we move the median slightly higher [further along in the data set] because there are more numbers (but let's try this out to confirm:)

1 2 3 4 5 6 7 8 9 10 11 12 12 13

[if a median placement is shared between two numbers, the mean/average of those two numbers is taken, and that is considered to be the median]

so, 7.5 is the current median

(this is an increase of 0.5)

--

the <em>mean</em> of a data set is what we commonly refer to as the "average"

[you find this value by adding all of the numbers in the data set together and dividing by the number of terms in the data set]

1 2 3 4 5 6 7 8 9 10 11 12 13

mean of original data set:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 [= 91]

_______________________________________

                                    13

[91 ÷ 13 = 7]

because our number is <em>greater </em>than our original mean [12 > 7], we know that the mean must increase:

[91 + 12 = 103]

[103 ÷ 14 ≈ 9.36]

[we had an increase of 2.36]

so, median increased by 0.5, mean increased by 2.36

so, both values increased, whilst the mean increased by <em>more </em>than the median [as to be expected]

you could also express this as "The mean will increase more than the median, but both will increase." [third option listed]

hope this helps!! :)

3 0
2 years ago
There are 32 students in Jenna's class. Jenna brought in 14 cupcakes. Which equation can be used to find the number of cupcakes
snow_lady [41]

Answer:

n = 32 - 14  (= 18)

Step-by-step explanation:

You haven't given the answer options, however I assume it will be written in this form. I.e. the number of cupcakes still needed is just the total number of students (32) minus the number that Jenna bought (14).

so n = 32 -14 (=18)

3 0
3 years ago
So confused some one help
SOVA2 [1]

Answer:

-2 (filled in circle) to 7 (open circle)

Step-by-step explanation:

for the first equation x must be the equal to or smaller than 6. so -3(-2) equals 6 but anything less than -2, let's say -3(-3), will be BIGGER than six, so -2 including -2 which is a filled in circle.

solving it:

-3(x) \leq 6

\frac{-3x}{-3} \leq \frac{6}{-3}

x\leq -2

for the second equation x must be smaller than 17. so first you take out + 3 by subtracting it, leaving the equation as 2x<14. 2(7)<14 is NOT true so anything bigger than 7 leaves it as true because 6.98934747483 can still make it true, so anything smaller than 7 which is 7 with a not filled in, or open, circle

solving it:

2x + 3 (- 3) < 17 (- 3)

2x < 14

\frac{2x}{2}

x < 7

my explanation is all over the place, but hope this helps!!!

4 0
3 years ago
Maria has a cube shaped box that measures 9 inches along each edge. Can she fit 1,000 1- square inch cubes inside the box?
Nesterboy [21]
The area of the box is equal to 9^3= 729 in^3
729<1000

Final answer: No since the volume of the box is less than the total volume of the cubes
8 0
3 years ago
How do you find the surface area of a composite figure?
kvv77 [185]
You need to separate the different figures then add oall of the different areas together
3 0
3 years ago
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