Related Questions

Posted in Mathematics

How to divide 85 divide 9,605

To divide 85 by 9,605, you have to do put the 9,605 as your dividend and the 85 as your divisor and then start by seeing how many times 85 can go into 960 and so the answer would be 11 times and then multiply 11 by 85 which is 935 and then subtract 935 from 960 which is 25 and then bring down the 5 to make the number 255 and then see if 255 can go into 85 and yes it can go into 85, 3 times, because 3×85 is 255 and then subtract and you get 0 and that’s all and so the answer would be 113 and thank you for this question you asked.

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Listed below are the overhead widths​ (in cm) of seals measured from photographs and the weights​ (in kg) of the seals. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the critical values of r using alphaαequals=0.050.05. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the​ seals? Overhead Width 7.27.2 7.67.6 9.89.8 9.29.2 8.78.7 8.28.2 Weight 119119 174174 245245 197197 196196 187187

Hypotheses:
H o – There is no linear correlation.
H 1 – There is linear correlation.
We will reject H o if the absolute value of r is greater than the critical value in the table. For α = 0.05 and n = 6 , the critical value is 0.811.
The linear coefficient r:
r = [(n * ∑ x y)-∑x∑y ]/√(n*∑x² – (∑x)²) * √(n*∑y² – (∑y )²) =
= ( 6 * 9,631.2 – 50.7 * 1,118) : (√(6 * 433.21 – 50.7²) * √(6*216,656 – 1,118²)
r = 1,104 : 1,199.517
r = 0.92
r > 0.811
Answer:
Because the absolute value of the linear correlation coefficient is greater than the positive critical value, there is sufficient evidence to claim that there is linear correlation between overhead width of the seals and the weight of the seals for the significance level of α = 0.05. 

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Posted in Mathematics

According to the table, which ordered pair is a local minimum of the function, f(x)? (0, 9) (4, 105) (–1, 0) (2, –15)

Answer:

(2,-15 ) is local minimum.

Step-by-step explanation:

A function has local minimum at x if  f(x) gives minimum value at that point and  the points around it.

here we can see that values given for y  f(x) are 9,105,0,-15 respectively out of which -15 is minimum which gives local minimum value for the given function.

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Posted in Mathematics

0.0054 in standard form

5.4 * 10^-3, if you didn’t understand that it means 5.4 times 10 to the negative three. For future reference, standard notation is when there’s only one non zero digit in front of the decimal. EX: 5,444,555,660 in standard notation is 5.44455566*10^9. Hope that helps 

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