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Elis [28]
2 years ago
8

Suppose A is a 5x7 matrix. How many pivot columns must A have if its columns span R^5​? ​Why?

Mathematics
1 answer:
Nonamiya [84]2 years ago
4 0

Answer:

The answer is "Option B".

Step-by-step explanation:

In the given choices there is some mistake so, the correct choice can be defined in the attached file. please find it.

In the given question, If the column of 5 \times 7 matrix, and the A span is equal to R^5, and then the value of A has a pivot in each row, that's why in each pivot its position in the different columns of A has the five pivot columns, that's why the choice B is correct.

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WILL BE BRANLIEST!!!
stiks02 [169]

Answer:

See explanation

Step-by-step explanation:

A. Solution set is in the attachment (dark green shading in the middle)

B. Yes, 2(5) + 3(1) ≤ 15; 13 is less than or equal to 15

5 + 1 > 3, 6 is greater than 3

C. (4, 2) means that he buys 4 sandwiches and 2 hot lunches

8 0
2 years ago
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If cyanide in a stream next to a gold mine increases from 240 ppm to 360 ppm, what percent increase is this?
avanturin [10]

Given :

Initial concentration , 240 ppm .

Final concentration , 360 ppm .

To Find :

Percent increase.

Solution :

Percentage increase is given by :

=\dfrac{Final-Initial}{Initial}\times 100\\\\=\dfrac{360-240}{240}\times 100\\\\=50\%

Therefore , percent increase is 50 % .

Hence , this is the required solution .

4 0
2 years ago
The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standar
Llana [10]

Answer:

a) The probability that a random movie is between 1.8 and 2.0 hours = 0.2586.

b) The probability that a random movie is longer than 2.3 hours is 0.0918.

c) The length of movie that is shorter than 94% of the movies is 1.4 hours

Step-by-step explanation:

In the above question, we would solve it using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation

a) A random movie is between 1.8 and 2.0 hours

z = (x-μ)/σ,

x1 = 1.8,

x2 = 2.0

μ is the population mean = 1.9

σ is the population standard deviation = 0.3

z1 = (1.8 - 1.9)/0.3

z1 = -1/0.3

z1 = -0.33333

Using the z score table

P(z1 = -0.33) = 0.3707

z2 = (2.0 - 1.9)/0.3

z1 = 1/0.3

z1 = 0.33333

p(z2 = 0.33) = 0.6293

= P(- 0.33 ≤ z ≤ 0.33)

= 0.6293 - 0.3707

= 0.2586

The probability that a random movie is between 1.8 and 2.0 hours = 0.2586

b) A movie is longer than 2.3 hours

z = (x-μ)/σ,

x1 = 2.3

μ is the population mean = 1.9

σ is the population standard deviation = 0.3

z = (2.3 - 1.9)/0.3

z = 4/0.3

z = 1.33333

P(z = 1.33) = 0.90824

P(x>2.3) = = 1 - 0.90824

= 0.091759

≈ 0.0918

The probability that a random movie is longer than 2.3 hours is 0.0918.

3) The length of movie that is shorter than 94% of the movies.

z = (x-μ)/σ

Probability (z ) = 94% = 0.94

Movie that is shorter than 0.94

= P(1 - 0.94) = P(0.06)

Finding the P (x< 0.06) = -1.555

≈ -1.56

μ is the population mean = 1.9

σ is the population standard deviation = 0.3

-1.56 = (x - 1.9)/ 0.3

Cross multiply

-1.56 × 0.3 = x - 1.9

- 0.468 + 1.9 = x

= 1.432 hours

≈ 1.4 hours

Therefore, the length of movie that is shorter than 94% of the movies is 1.4 hours

5 0
2 years ago
On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above
Charra [1.4K]

Answer:

y\geq\frac{1}{3}x-1

Step-by-step explanation:

A solid straight line has a positive slope and goes through (0, negative 1) and (3, 0)

<em>Find the slope of the solid line</em>

m=(0+1)/(3-0)\\\\m=\frac{1}{3}

The equation of the solid line in slope intercept form is equal to

y=mx+b

we have

m=\frac{1}{3}

b=-1 ---> given problem

substitute

y=\frac{1}{3}x-1

Everything above and to the left of the line is shaded

so the inequality is equal to

y\geq\frac{1}{3}x-1

8 0
2 years ago
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Solve a = 2x + 6xz for X
NeX [460]

Answer:

See below.

Step-by-step explanation:

So we have the equation:

a=2x+6xz

On the right, factor out an x:

a=x(2+6z)

Divide both sides by (2+6z). The right will cancel:

x=\frac{a}{2+6z}

And we're done!

8 0
2 years ago
Read 2 more answers
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