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3 years ago

Graph (-3, 2) (5, 2) (5, -3) and (-3, -3) and find the perimeter.

2 answers:

6 0

The answer is 26. I got this answer by plotting out the points on a coordinate plane and counting the perimeter around the shape to get 26. Hope this helps! :)

Nostrana [21]3 years ago

3 0

Answer:

Step-by-step explanation:

Firstly, plot the points on graph paper which you can find on the internet. The first number in the ordered pair, (the ones in parenthesis), is the x coordinate. The other number is the y coordinate. Put these onto a graph which is attached. The perimeter is 26.

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Let h be the set of all points of the form (s, s-1). determine whether

alexira [117]

Hello :
let : x = s so : y = x-1
all points is the line passe by : (1, 0) of the slope 1

5 0

3 years ago

The lengths of lumber a machine cuts are normally distributed with a mean of 106 inches and a standard deviation of 0.3 inch. (

Vinvika [58]

Answer:

a) $P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

b) $z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

Step-by-step explanation:

Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:

$X \sim N(106,0.3)$

Where $\mu=106$ and $\sigma=0.3$

Part a

We are interested on this probability

$P(X>106.11)$

And we can use the z score formula given by:

$z=\frac{x-\mu}{\sigma}$

And using this formula we got:

$P(X>106.11)=P(\frac{X-\mu}{\sigma}\frac{106.11-106}{0.3})=P(z>0.37)$

And we can find this probability with the complement rule:

$P(z>0.37)=1-P(z$

Part b

For this case we select a sample of n =44 and the new z score formula is given by:

$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score we got:

$z =\frac{106.11- 106}{\frac{0.3}{\sqrt{44}}}= 2.431$

And if we use the z score we got:

$P(z>2.431) =1-P(z$

6 0

3 years ago

3. In a circular park with a radius of 250 m there are 7 lamps whose bases are circles with

____ [38]

Answer:

Area of the lawn = 62493π m^2

Step-by-step explanation:

6 0

3 years ago

Factorise 9w² - 100

ohaa [14]

Answer:

$9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10)$ .

Step-by-step explanation:

Fact:

$\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}$ .

In other words, $(a^{2} - b^{2})$ , the difference of two squares in the form $a^{2}$ and $b^{2}$ , could be factorized into $(a - b)\, (a + b)$ .

In this question, the expression $(9\, w^{2} - 100)$ is the difference between two terms: $9\, w^{2}$ and $100$ .

$9\, w^{2}$ is the square of $3\, w$ . That is: $(3\, w)^{2} = 9\, w^{2}$ .
On the other hand, $10^{2} = 100$ .

Hence:

$9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}$ .

Apply the fact that $a^{2} - b^{2} = (a - b) \, (a + b)$ to factorize this expression. (In this case, $a = 3\, w$ whereas $b = 10$ .)

$\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}$ .

8 0

3 years ago

Df = g + 32 solve for d

LekaFEV [45]

Answer and Step-by-step explanation:

To solve for d, divide f from both sides of the equation.

df ÷ f = (g + 32) ÷ f

d = $\frac{g+32}{f}$ is the answer.

#teamtrees PAW (Plant And Water)

I hope this helps!

6 0

3 years ago

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