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FromTheMoon [43]
3 years ago
10

Name the algebraic property demonstrated an example below: 3•(x•y)=(3•x)•y

Mathematics
1 answer:
Jet001 [13]3 years ago
3 0

<span>3•(x•y)=(3•x)•y
</span>
answer 
associative property of multiplication
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Which equation has a graph that passes through the points at (0,5) and (-3,-4)?
Roman55 [17]

Answer:

y = 3x + 5

Step-by-step explanation:

We are asked the equation of the graph which passes through the points at (0,5) and (-3,-4).  

Now, we know that the equation of a straight line passing through the points (x_{1},y_{1}) and (x_{2},y_{2}) is given by

\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}.

So, in our case (x_{1},y_{1}) ≡ (0,5) and (x_{2},y_{2}) ≡ (-3,-4)

Therefore, the equation of the straight line will be  

\frac{y - 5}{5 - (- 4)} = \frac{x - 0}{0 - (- 3)}

⇒ y - 5 = \frac{9}{3}x

⇒y = 3x + 5 (Answer)

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3 years ago
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Zielflug [23.3K]

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6 0
3 years ago
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If you want to be 95​% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard
Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What sample size is​ required?

A samle size of at least n is required, in which n is found when M = 3, \sigma = 20

So

M = z*\frac{\sigma}{\sqrt{n}}

3 = 1.96*\frac{20}{\sqrt{n}}

3\sqrt{n} = 20*1.96

\sqrt{n} = \frac{20*1.96}{3}

(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}

n = 170.7

Rouding up

The sample size required is at least 171

5 0
3 years ago
Find the missing term in each pair of equivalent ratios<br> 24: 96 = 5 : ?
ExtremeBDS [4]

Answer:

follow pcllord on twitch

Step-by-step explanation:

a content creator on the pogg champ smp

8 0
3 years ago
PLEASE HELP ME QUICKLY!!!!
LiRa [457]
For each, you'll use the slope formula 
m = (y2-y1)/(x2-x1)

For function f, you'll use the two points (1,6) and (2,12) since x ranges from x = 1 to x = 2 for function f

The slope through these two points is 
m = (y2-y1)/(x2-x1)
m = (12-6)/(2-1)
m = 6/1
m = 6

-------------------------------------------

For function g, you'll use (2,4) and (3,20)

The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (20-4)/(3-2)
m = 16/1
m = 16

-------------------------------------------

For function h, you'll use (0,-6) and (2,-18). The y coordinates can be found by plugging in x = 0 and x = 2 respectively into h(x)

The slope through these two points is
m = (y2-y1)/(x2-x1)
m = (-18-(-6))/(2-0)
m = (-18+6)/(2-0)
m = (-12)/(2)
m = -6

-------------------------------------------

The order from left to right is: h, f, g

6 0
3 years ago
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