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sammy [17]
3 years ago
11

How do you solve the square root of 258.75

Mathematics
2 answers:
GenaCL600 [577]3 years ago
4 0

Answer:

16.0857079

Step-by-step explanation:

first

you go to Google

second

yousearch up how do u solve the square root of 258.75

aliya0001 [1]3 years ago
3 0

<u>Answer: </u>

The square root of 258.75 is \frac{3 \sqrt{115}}{2}

<u>Solution:</u>

Here we have to find the square root of 258.75. First we convert the decimal value into a fraction value. Converting 258.75 in fraction we get

\frac{258.75 \times 100}{100}

=\frac{25875}{100}

Now we find the factors of 25875 and 100

Factors of 25875 = 3 \times 3 \times 5 \times 5 \times 5 \times 23

Since we have to find the square root, we group two same numbers together and place them outside square root. Grouping two threes and two five’s we get square root of  

25875=3 \times 5 \sqrt{5 \times 23}

=15 \sqrt{115}

Now the factors of 100 = 2 \times 2 \times 5 \times 5

The square root of 100 = 2 \times 5 = 10

\text { Square root } \sqrt{258.75}=\frac{\sqrt{25875}}{\sqrt{100}}

=\frac{15 \sqrt{115}}{10}

Cancelling the numerator and denominator by 5, we get

=\frac{3 \sqrt{115}}{2}

Hence the square root of 258.75 is \frac{3 \sqrt{115}}{2}

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When two dice are rolled, what is the probability the two numbers will have a sum of 5?
ira [324]

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(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

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In that, we count the ordered pairs that give us sum 5

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7 0
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The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the Quality of Management and
kykrilka [37]

Answer:

The calculated χ² =  <u>17.0281</u>    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent

The p-value is 0 .001909. The result is significant at p < 0.05

Part b:

40 > 8.5

35> 7.5

25> 4

Step-by-step explanation:

1) Let the null and alternative hypothesis as

H0: the quality of management and the reputation of the company are independent

against the claim

Ha: the quality of management and the reputation of the company are dependent

2) The significance level alpha is set at 0.05

3) The test statistic under H0 is

χ²= ∑ (o - e)²/ e where O is the observed and e is the expected frequency

which has an approximate chi square distribution with ( 3-1) (3-1)=  4 d.f

4) Computations:

Under H0 ,

Observed       Expected E              χ²= ∑(O-e)²/e

40                      35.00                          0.71

25                      24.50                         0.01

5                         10.50                         2.88  

35                      40.00                         0.62

35                      28.0                          1.75

10                       12.00                           0.33  

25                      25.00                             0.00

10                        17.50                              3.21

<u>15                       7.50                                 7.50  </u>

<u>∑                                                               17.0281</u>

     

     

Column Totals 100 70 30   200  (Grand Total)

5) The critical region is χ² ≥ χ² (0.05)2 = 9.49

6) Conclusion:

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7) The p-value is 0 .001909. The result is significant at p < 0.05

The p- values tells that the variables are dependent.

Part b:

If we take the excellent row total = 70 and compare it with the excellent column total= 100

If we take the good row total = 70 and compare it with the good column total= 80

If we take the fair row total = 50 and compare it with the fair column total= 30

The two attributes are said to be associated if

Thus we see that ( where (A)(B) are row and columns totals and AB are the cell contents)

AB> (A)(B)/N  

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35> 7.5

25> 800/200

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and so on.

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