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2 years ago

Need help badly #15 Find the area of each sector.

Mathematics

1 answer:

Ber [7]2 years ago

6 0

The highlighted sector is exactly 3/4 of the circle area, because $\frac{3\pi}{2}$ is 3/4 of $2\pi$ which is a complete rotation.

Since you are given the radius, you can compute the area as

$A = \pi r^2 = 16\pi$

So, 3/4 of this area would be $12\pi$ squared cm.

The remaining sector, of course, is $4\pi$ squared cm.

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Robert gets a loan from his bank. He agrees to borrow £6,000 at a fixed annual simple interest rate of 7%. He also agrees to pay

Gelneren [198K]

Answer:

The total amount repayable will be £8,280.24.

Step-by-step explanation:

Use the attached formula

7 0

2 years ago

A driver averaged 49 miles per hour and took 10 hours to travel between two cities. What is the distance between the two cities

Vesnalui [34]

Answer:

The answer is 490

Step-by-step explanation:

It takes 10 hours at 49MPH so you have to multiply 49 miles × 10 hours which gives you 490 miles

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3 years ago

Divide 4 2/3 & 3 1/3. Simplify the answer and write it as a mixed number.

Leto [7]

Answer:

4 2/3 ÷ 3 1/3= 1 2/5

Step-by-step explanation:

First, you turn the mixed terms into an improper fraction like this

4 2/3 → 14/3 because when you multiply 4 times 3 equaling 12 then having 2 then adding that you get 14/3.

3 1/3 → 10/3 because when you multiply 3*3=9 then having 1 and adding that you get 10/3.

Then, you do KCF which stands for <u>Keep Change Flip</u> so for this you would do: 14/3 ÷ 10/3 → 14/3 × 3/10

14 × 3 = 42 and 3 × 10= 30

Now being 42/30 this is considered an improper fraction in which you have to transform it into a mixed number like this:

(For this you need to find the greatest common factor)

42/30 → 42 and 30 greatest common factor is 6 because they are divisible and factor of 6.

Now you divide both the denominator and the numerator y 6 like this:

42 ÷ 6= 7

30 ÷ 6= 5

Now we have 7/5, this is still an improper number so we see how many times 7 can go to 5 which is once. So we have 1 as whole number, now we put the reminder as the numenator of the mix fraction keeping 5 as being the denominator.

Overall, We have our answer 1 2/5

I hope this helps :D

7 0

2 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:

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.

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.

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

2 years ago

Help math pls due in 5 min

Dima020 [189]

Your answer is D
hope this helps

8 0

2 years ago