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lord [1]
3 years ago
14

Find the square root of the following number by the long division method for 9801​

Mathematics
1 answer:
vlada-n [284]3 years ago
3 0

Answer:

99.

Step-by-step explanation:

            99.0

          ___________

          |9801.000000

       9 |81

    189 | 1701

           | 1701

             ,,,,,

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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
What percent of 25 is 21?
Damm [24]
21 IS 84% OF 25!!!!!
8 0
3 years ago
Read 2 more answers
Suppose you spin the spinner once. Find the probability.
AleksandrR [38]
1/2 for red, 1/4 for blue, or if you are speaking of both together it is 3/4
8 0
2 years ago
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A+b+c=4<br> a²+b²+c²=10<br> a³+b³+c³=22<br> a4+b4+c²=?
iragen [17]

Answer:

34

Step-by-step explanation:

6 0
3 years ago
Please answer fast, dhehdhhd
Readme [11.4K]

I believe the answer is 142 degrees.

38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.

Number 7 and 5 are corresponding, so they are equal.

This means that 5 is 142 degrees.

(I think)

4 0
2 years ago
Read 2 more answers
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