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Sauron [17]
3 years ago
15

Assuming the standard definitions of addition and scalar multiplication, decide whether or not the following sets are vector spa

ces.Justify your answers by verifying that all properties of a vector space are satisfied or that at least one of the properties fails to hold.(a) The setVof all3×3lower triangular matrices (all entries above the main diagonal are zero).(b) The setVof all2×2matrices whose determinants are 0.

Mathematics
1 answer:
nadezda [96]3 years ago
4 0

Answer:

See attached pictures.

Step-by-step explanation:

See attached pictures.

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1/3(x+2/3) =1/6(x-4) thanks
zheka24 [161]
1/3+2/9=1/6x-4/6
3/9+2/9=1/6x-4/6
5/9=1/9x-4/6
5=x-6
x=11
4 0
3 years ago
When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution?
Anna [14]

When n is small (less than 30), how does the shape of the t distribution compare to the normal distribution then"it is flatter and wider than the normal distribution."

<h3>What is normal distribution?</h3>

The normal distribution explains a symmetrical plot of data around the mean value, with the standard deviation defining the width of the curve. It is represented graphically as "bell curve."

Some key features regarding the normal distribution are-

  • The normal distribution is officially known as the Gaussian distribution, but the term "normal" was coined after scientific publications in the nineteenth century demonstrated that many natural events emerged to "deviate normally" from the mean.
  • The naturalist Sir Francis Galton popularized the concept of "normal variability" as the "normal curve" in his 1889 work, Natural Inheritance.
  • Even though the normal distribution is a crucial statistical concept, the applications in finance are limited because financial phenomena, such as expected stock-market returns, do not fit neatly within a normal distribution.
  • In fact, prices generally follow a right-skewed log-normal distribution with fatter tails.

As a result, relying as well heavily on the a bell curve when forecasting these events can yield unreliable results.

To know more about the normal distribution, here

brainly.com/question/23418254

#SPJ4

6 0
1 year ago
The ratio of roses to carnations is 7 to 5. If 96 flowers are needed for table decorations,
coldgirl [10]

Answer: 56 roses and 40 carnations are needed.

Step-by-step explanation: <u>Here’s the table of ratios that’ll help you find how many roses and carnations are needed to make a total of 96 flowers for table decorations:</u>

7:5 /14:10 /21:15 /28:20 /35:25 /42:30 /49:35/ 56:40/

*56 + 40 = 96

Hence, 56 roses and 40 carnations are needed if 96 flowers are needed for table decorations.

<u></u>

8 0
2 years ago
If 4x + 8x + 12x + 16x is equal to 5 + 10 + 30 + 40 then what is the value of x​
zloy xaker [14]

4x+8x+12x+16x=5+10+30+40

4x+8x+12x+16x= 85

40x=85

x= 85/40

x=2.125

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28%28x%20-%201%29%20%5Cdiv%203%20%29%20-%202%20%5Cleqslant%20%28%285%20-%202x%29%20%5Cdiv%206
sergejj [24]

Answer:

x ≤ \frac{19}{4}

Step-by-step explanation:

Given

\frac{x-1}{3} - 2 ≤ \frac{5-2x}{6}

Multiply through by 6 to clear the fractions

2(x - 1) - 12 ≤ 5 - 2x ← distribute and simplify left side

2x - 2 - 12 ≤ 5 - 2x

2x - 14 ≤ 5 - 2x ( add 2x to both sides )

4x - 14 ≤ 5 ( add 14 to both sides )

4x ≤ 19 ( divide both sides by 4 )

x ≤ \frac{19}{4}

6 0
3 years ago
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