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zvonat [6]
3 years ago
8

Round 1.495485 to the nearest thousandth

Mathematics
1 answer:
viva [34]3 years ago
8 0
Answer: 1.495

Explanation: The first digit after the decimal is the tenths place. After that it's the hundredths then the thousandths. If the digit after the thousandths place is 5 or higher then you would round the thousandths place up. Considering it's not higher then it would stay the same.
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find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utili
Amiraneli [1.4K]
Since 4i is a root, that automatically means -4i is also a root (complex roots always travel in pairs) So the factored form would look like <span>(x+4i)(x−4i).</span> When multiplied out this gives the polynomial <span><span>x2</span>+<span>16.</span></span>
5 0
3 years ago
Are the marks one receives in a course related to the amount of time spent studying the subject? To analyze this mysterious poss
sertanlavr [38]

Answer:

a) 98.522

b) 0.881

c) The correlation coefficient and co-variance shows that there is positive association between marks and study time. The correlation coefficient suggest that there is strong positive association between marks and study time.

Step-by-step explanation:

a.

As the mentioned in the given instruction the co-variance is first computed in excel by using only add/Sum, subtract, multiply, divide functions.

Marks y Time spent x y-ybar x-xbar (y-ybar)(x-xbar)

77                    40 5.1         1.3 6.63

63                     42 -8.9            3.3 -29.37

79                     37 7.1            -1.7 -12.07

86                     47 14.1            8.3 117.03

51                    25 -20.9  -13.7 286.33

78                     44 6.1            5.3 32.33

83                      41 11.1            2.3 25.53

90                     48 18.1            9.3 168.33

65                     35 -6.9           -3.7 25.53

47                    28 -24.9 -10.7 266.43

Covariance=\frac{sum[(y-ybar)(x-xbar)]}{n-1}

Co-variance=886.7/(10-1)

Co-variance=886.7/9

Co-variance=98.5222

The co-variance computed using excel function COVARIANCE.S(B1:B11,A1:A11) where B1:B11 contains Time x column and A1:A11 contains Marks y column. The resulted co-variance is 98.52222.

b)

The correlation coefficient is computed as

Correlation coefficient=r=\frac{sum[(y-ybar)(x-xbar)]}{\sqrt{sum[(x-xbar)]^2sum[(y-ybar)]^2} }

(y-ybar)^2 (x-xbar)^2

26.01        1.69

79.21       10.89

50.41             2.89

198.81       68.89

436.81       187.69

37.21       28.09

123.21        5.29

327.61        86.49

47.61         13.69

620.01         114.49

sum(y-ybar)^2=1946.9

sum(x-xbar)^2=520.1

Correlation coefficient=r=\frac{886.7}{\sqrt{520.1(1946.9)} }

Correlation coefficient=r=\frac{886.7}{\sqrt{1012582.69} }

Correlation coefficient=r=\frac{886.7}{1006.2717 }

Correlation coefficient=r=0.881

The correlation coefficient computed using excel function CORREL(A1:A11,B1:B11) where B1:B11 contains Time x column and A1:A11 contains Marks y column. The resulted correlation coefficient is 0.881.

c)

The correlation coefficient and co-variance shows that there is positive association between marks and study time. The correlation coefficient suggest that there is strong positive association between marks and study time. It means that as the study time increases the marks of student also increases and if the study time decreases the marks of student also decreases.

The excel file is attached on which all the related work is done.

Download xlsx
7 0
3 years ago
what is the vomume of the box with a height of 3/2 inches, a length of 7/2 inches, and a width 5/2 inches
JulsSmile [24]

Answer:

105/8 inch^3

Step-by-step explanation:

7/2*5/2*/3/2 = 105/8

8 0
3 years ago
Read 2 more answers
HEEEEEEEEEEEEEEEEELP MEEEEEEEEEEEEEEEEEEEEE
BlackZzzverrR [31]

Answer:

312.38

Step-by-step explanation:

first get the area of the circle which will be 490.625 then subtract the rectangle to get the round area with grass-290.625

then in that square there is a triangle covered with grass so get the area of the triangle-22.75 then add the area of the triangle to the rounded part with grass

7 0
3 years ago
Solve 31-X + (2 x + 1)] = x - 1.
Kobotan [32]

Answer:

x = X + 33 (I am guessing "x" and "X" are not the same. "x" is a variable and "X" is a constant.)

Step-by-step explanation:

31 - X + (2x+1) = x - 1

or, 2x+1 = x - 1 - 31 + X

or, 2x - x = -1 -31 + X -1

or, x = -2 -31 + X

or, x = X - 33

6 0
2 years ago
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