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3 years ago

If the variance of the "number of daily parking tickets issued is 100, the standard deviation is defined as the

1 answer:

4 0

Generally according to mathematical formulas the standard deviation is defined as the square root of the variance.Same formula applied to this question where variance is 100 which results that standard deviation is 10.Whereas variance is the square of the standard deviation which is 100 derived in the question.

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Which ordered pair is generated from the equation shown below? y = 2x + 4 A. (1, 6) B. (1, 2) C. (3, 6) D. (8, 16)

USPshnik [31]

Answer:

The ordered pair generated from the equation is (1, 6).

Step-by-step explanation:

An ordered pair is a pair of numbers, representing two variables, in a specific order. For instance, (x, y) = (1, 2) here x = 1 and y = 2.

The equation provided is:

$y=2x+4$

Check for all the options:

A (1, 6): $y=2x+4\Rightarrow\ 6=(2\times 1) +4\Rightarrow\ 6=6$
B (1, 2): $y=2x+4\Rightarrow\ 2=(2\times 1) +4\Rightarrow\ 2\neq 6$
C (3, 6): $y=2x+4\Rightarrow\ 6=(2\times 3) +4\Rightarrow\ 6\neq10$
D (8, 16): $y=2x+4\Rightarrow\ 16=(2\times 8) +4\Rightarrow\ 16\neq20$

Thus, the ordered pair generated from the equation is (1, 6).

8 0

3 years ago

6x + -2y² + 4xy² + 3x² + 5xy² simplify it

r-ruslan [8.4K]

$\large\displaystyle\text{$\begin{gathered}\sf 6x+-2y^{2}+4xy^{2}+3x^{2} +5xy^{2} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Group\:like\:terms \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf =3x^2+6x-2y^2+4xy^2+5xy^2 \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Sum\:similar\:elements:\:4xy^2+5xy^2=9xy^2 \end{gathered}$}$

$\boxed{\large\displaystyle\text{$\begin{gathered}\sf 3x^2+6x-2y^2+9xy^2 \end{gathered}$} }$

7 0

2 years ago

Read 2 more answers

Paul is 1.72 m tall, Trisha is 1.58 m tall, Ash is 1.55 m

professor190 [17]

Who is the tallest?

- Ben because he is 0.04 m taller than Paul

Who is the shortest?

- Sophie

8 0

3 years ago

. Jumbo bought 5 books, each with a whole-number price.

Trava [24]

Mean is average. Multiply total books by the mean to find the total cost:

5x 10 = $50 total.

Subtract the highest and lowest prices to find the total of the remaining 3 books.

50 - 15-6 = 29

The median price was 8, this is the middle number, subtract 8 from 29 to get the cost of the last 2 books:

29-8 =21

Now you need a price lower than the median but higher than the lowest cost so that has to be 7

Subtract 7 from 21 to get the cost of the last book 21-7 = 14

The price of the remaining books is $7 and $14

3 0

3 years ago

Read 2 more answers

On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte

Lostsunrise [7]

A) The constant of proportionality in this proportional relationship is $k = \frac{y}{x}$

B) The equation to represent this proportional relationship is y = 0.2x

<h3>Solution:</h3>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

$\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}$

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

$y \propto x$

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

$k = \frac{y}{x}$

Last month, she paid $3.20 for 16 international texts

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

$3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2$

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

8 0

3 years ago