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Reika [66]
2 years ago
12

What should be added to a²-2ab+b² to get a²-ab-2b² ​

Mathematics
1 answer:
dybincka [34]2 years ago
5 0

<u>SOLUTION</u><u>:</u>

<u>what should be added to a²-2ab+b² to get a²-ab-2b² </u>

let the added no is P

  • \pmb{P+(a^2-2ab+b^2)=(a^2-ab-2b^2) }

  • \pmb{P=(a^2-ab-2b^2)-(a^2-2ab+b^2) }

  • \pmb{P=a^2-ab-2b^2-a^2+2ab-b^2 }

  • \pmb{P=ab-3b^2 }

\therefore{\pmb{ab-3b^2 }} should be added to a²-2ab+b² to get a²-ab-2b²

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Which system of equations is incondsistent? a. 2x+8y=6 5x+20y=2
galina1969 [7]

Answer: Yes

Step-by-step explanation:

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2x = -2y

Divide by two so x will be by itself, so the answer will be -1y.

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-20y -20y

5x = -18y

Divide by 5 so x will be by itself, so the answer will be -3y.

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What is the period of the function f(x) shown in the graph? Enter your answer in the box.
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3 years ago
Sunspots have been observed for many centuries. Records of sunspots from ancient Persian and Chinese astronomers go back thousan
Lunna [17]

Answer:

(a) Null Hypothesis, H_0 : \mu \leq 41  

    Alternate Hypothesis, H_A : \mu > 41

(b) The value of z test statistics is 1.08.

(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Step-by-step explanation:

We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.

It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.

Let \mu = <u><em>mean sunspot activity during the Spanish colonial period.</em></u>

(a) Null Hypothesis, H_0 : \mu \leq 41     {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}

Alternate Hypothesis, H_A : \mu > 41     {means that the mean sunspot activity during the Spanish colonial period was higher than 41}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                            T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean = 47

            σ = population standard deviation = 35

            n = sample of periods from Spanish colonial times = 40

So, <em><u>the test statistics</u></em>  =  \frac{47-41}{\frac{35}{\sqrt{40} } }

                                      =  1.08

(b) The value of z test statistics is 1.08.

(c) <u>Now, the P-value of the test statistics is given by;</u>

                P-value = P(Z > 1.08) = 1 - P(Z < 1.08)

                              = 1 - 0.8599 = <u>0.1401</u>

Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.

Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

8 0
3 years ago
On your math quiz, you earn 5 points for each question that you answer correctly. In the equation below, x represents the number
labwork [276]

Answer:

x-independent

y-dependent

Step-by-step explanation:

Dependent variable: y because you get the points by doing the quiz.

Independent variable: x because you don’t know how many questions you answered correctly.

Total points you score: Unknown until you know how many you got right also the same as y.

Number of questions you answer correctly: Unknown until you get your paper back, also the same as x.


Read more on Brainly.com - brainly.com/question/9741421#readmore

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