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3 years ago

Is this table a function? why or why not?

Mathematics

1 answer:

gavmur [86]3 years ago

6 0

No because each time it goes up by (1) and in the last one it goes up (2 times) and then decreases (4 times) on the right.

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Which one is a polynomial ? it’s not B!!

Alina [70]

A probably i dont know

7 0

3 years ago

What is the standard deviation for the data set?

aleksandr82 [10.1K]

Answer:

The standard deviation is 22.6 to the nearest tenth

Step-by-step explanation:

* Lets study how to find the standard deviation (σ) for data set

- First step find the mean of the data

∵ The mean = the sum of the data ÷ the number of the data

# The sum of the data is

359 + 320 + 365 + 310 + 349 + 351 + 310 + 314 + 364 = 3042

# The number of the data is 9

∴ The mean = 3042 ÷ 9 = 338

- Second step find the difference between each data and the mean

and square the difference

# 359 - 338 = 21 ⇒ (21)² = 441

# 320 - 338 = -18 ⇒ (-18)² = 324

# 365 - 338 = 27 ⇒ (27)² = 729

# 310 - 338 = -28 ⇒ (-28)² = 784

# 349 - 338 = 11 ⇒ (11)² = 121

# 351 - 338 = 13 ⇒ (13)² = 169

# 310 - 338 = -28 ⇒ (-28)² = 784

# 314 - 338 = -24 ⇒ (-24)² = 576

# 364 - 338 = 26 ⇒ (26)² = 676

- Third step find the variance (σ²)

# Add all the square difference and divide the sum by the

number of data

∴ σ² = (441 + 324 + 729 + 784 + 121 + 169 + 784 + 576 + 676) ÷ 9

∴ σ² = 4604 ÷ 9 = 511.5555556

- Fourth step find the standard deviation σ it is the square root of

the variance

∴ σ = 22.6 to the nearest tenth

* The standard deviation is 22.6 to the nearest tenth

3 0

4 years ago

Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a

jeka57 [31]

Answer:

$\\ \gamma= \frac{a\cdot b}{b\cdot b}$

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if $b \neq 0$ . Recall that given two vectors a,b a⊥ b if and only if $a\cdot b =0$ where $\cdot$ is the dot product defined in $\mathbb{R}^n$ . Suposse that $b\neq 0$ . We want to find γ such that $(a-\gamma b)\cdot b=0$ . Given that the dot product can be distributed and that it is linear, the following equation is obtained

$(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b$

Recall that $a\cdot b, b\cdot b$ are both real numbers, so by solving the value of γ, we get that

$\gamma= \frac{a\cdot b}{b\cdot b}$

By construction, this γ is unique if $b\neq 0$ , since if there was a $\gamma_2$ such that $(a-\gamma_2b)\cdot b = 0$ , then

$\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma$

6 0

4 years ago

Erica plotted the three towns closest to her house on a graph with town A

IRINA_888 [86]

Please plot these 3 points on graph paper. This will result in a triangle with three different vertices. Which vertex corresponds to the largest interior angle of the triangle? to the smallest? If you can answer these questions properly, then you'll pretty much have the answer to this question. Be sure to arrange the sizes of the angles in ascending (increasing) order.

4 0

3 years ago

What is the distributive property of -4 (10-b)

brilliants [131]

Answer:

-40+4b

Step-by-step explanation:

You multiply the outside (-4) by the things within the parentheses

6 0

3 years ago

Read 2 more answers