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vovikov84 [41]
3 years ago
7

If x + y is rational, must x and y each be rational?

Mathematics
1 answer:
In-s [12.5K]3 years ago
8 0
No.

If a rational number can be an integer, x and y could be 5.5 and .5, or something that adds up to (number).0.  This means, if the two non-rational numbers add up, they could be irrational, but the result isn't.
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Test the hypothesis using the​ P-value approach. Be sure to verify the requirements of the test. Upper H 0​: pequals0.6 versus U
kow [346]

Answer:

Step-by-step explanation:

From the given information:

The null and the alternative hypothesis can be well written as:

H_o:P=0.6

H_1:P>0.6

Given that:

n = 200

x = 135

Alpha ∝ = 0.05 level of significance

Then;

⇒ n \times p\times (1-P)

= 200 × 0.6 × (1 -0.6)

= 200 × 0.6 × 0.4

= 48 ≥ 10

The sample proportion \hat P = \dfrac{x}{n}

= \dfrac{135}{200}

= 0.675

The test statistics Z = \dfrac{\hat P - P}{\sqrt{ \dfrac{P(1-P)}{n} }}

Z = \dfrac{0.675 - 0.6}{\sqrt{ \dfrac{0.6 \times 0.4}{200} }}

Z = \dfrac{0.075}{\sqrt{ \dfrac{0.24}{200} }}

Z = 2.165

The P-value = P(Z > 2.165)

= 1 - P(Z < 2.165)

From the z tables

= 1 - 0.9848

= 0.0152

Reject the null hypothesis since P-Value is lesser than alpha. ( i.e. 0.0152 < 0.05).

Thus, there is enough evidence to conclude that the value of the population proportion is greater than 0.6

7 0
3 years ago
Mr. Dewalt suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 30%
Dennis_Churaev [7]
First you have to know, that the price the agent found is 70% of  $2075
 (100%-30%=70%)
70%=0,7
$2075 * 0,7 = $1452,5
So 70% 0f $2075 is 1452,5

The price the agant found is $1452,5.
5 0
3 years ago
What is the domain and range of the following functions? Number 1 please
MrMuchimi
Answers:
Part 1 (the ovals)
Domain = {-6,-1,1,5,7}
Range = {-4,-1,2,4}
-------------------
Part 2 (the table)
Domain = {1,-3,-2}
Range = {-2,5,1}
-------------------
Part 3 (the graph)
Domain = {1, 2, 3, 4, 5, 6}
Range = {-1, 0, 1, 2, 3, 6}

===============================================

Explanation:

Part 1 (the ovals)
The domain is the set of input values of a function. The input oval is the one on the left. 
All we do is list the numbers in the input oval to get this list: {-6,-1,1,5,7}
The curly braces tell the reader that we're talking about a set of values.
So this is the domain.

The range is the same way but with the output oval on the right side
List those values in the right oval and we have {-4,-1,2,4}
Which is the range. That's all there is to it.

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

Part 2 (The tables)

Like with the ovals in part 1, we simply list the input values. The x values are the input values. Notice how this list is on the left side to indicate inputs.
So that's why the domain is {1, -3, -2}. Optionally you can sort from smallest to largest if you want. Doing so leads to {-3, -2, 1}

The range is {-2,5,1} for similar reasons. Simply look at the y column

Side Note: we haven't had to do it so far, but if we get duplicate values then we must toss them. 
------------------------------
Part 3 (the graph)

Using a pencil, draw vertical lines that lead from each point to the x axis. You'll notice that you touch the x axis at the following numbers: 1, 2, 3, 4, 5, 6
So the domain is the list of those x values (similar to part 2) and it is {1, 2, 3, 4, 5, 6}

Erase your pencil marks from earlier. Draw horizontal lines from each point to the y axis. The horizontal lines will arrive at these y values: -1, 0, 1, 2, 3, 6
So that's why the range is {-1, 0, 1, 2, 3, 6}

5 0
4 years ago
Sin(5x+20)
WINSTONCH [101]

Answer:

Yes.

Step-by-step explanation:

Just like normal algebra, you factor our the common factor, in this case, 5.

Thus,

\sin(5(x + 4))

4 0
4 years ago
What is 122/11 equivalent to as a decimal??
kipiarov [429]

divide it two numbers to get 11.090909 which would most likely to be 11.10

3 0
3 years ago
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