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guajiro [1.7K]
3 years ago
11

Prove: If a^2-a is even then a is even.

Mathematics
1 answer:
Alla [95]3 years ago
6 0

This is not always true. Consider a=3. Then 3^2-3=9-3=6 is even, but a is odd.

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Im not exactly understanding this question. Can someone please help me and possibly explain this to me?
Brrunno [24]

Answer:

From the graph, when x=-6, y=1

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4 0
2 years ago
Game consoles: A poll surveyed 341 video gamers, and 89 of them said that they prefer playing games on a console, rather than a
Orlov [11]

Answer:

Step-by-step explanation:

Hello!

The objective is to test if the population proportion of gamers that prefer consoles is less than 28% as the manufacturer claims.

Of 341 surveyed players, 89 said that they prefer using a console.

The sample resulting sample proportion is p'= 89/341= 0.26

If the company claims is true then p<0.28, this will be the alternative hypothesis of the test.

H₀: p ≥ 0.28

H₁: p < 0.28

α: 0.05

To study the population proportion you have to use the approximation of the standard normal Z= \frac{p'-p}{\sqrt{\frac{p(1-p)}{n} } }≈N(0;1)

Z_{H_0}= \frac{0.26-0.28}{\sqrt{\frac{0.28*0.72}{341} } }= -0.82

This test is one-tailed left, i.e. that you'll reject the null hypothesis to small values of Z, and so is the p-value, you can obtain it looking under the standard normal distribution for the probability of obtaining at most -0.82:

P(Z≤-0.82)= 0.206

Using the p-value approach:

If p-value ≤ α, reject the null hypothesis

If p-value > α, don't reject the null hypothesis

The decision is to not reject the null hypothesis.

Then at a level of 5%, you can conclude that the population proportion of gamers that prefer playing on consoles is at least 28%.

I hope this helps!

4 0
3 years ago
What is 52.85 and 9.09 rounded to the nearest one
olganol [36]
52.85 will be 53
9.09 will be 9
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Answer:

c

Step-by-step explanation:

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If 20 is added to the number, the absolute value of the result is 6.
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Number is number is -14 or -26

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3 years ago
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