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Ivanshal [37]
3 years ago
15

X varies directly with y. If x is 16 when y is 20, find x when y is 80.

Mathematics
1 answer:
Taya2010 [7]3 years ago
5 0

Answer:

32

Step-by-step explanation:

16/20 reduces down to 2/5

set 2/5=x/80

cross multiply 160=5x

divide 32=x

check 2/5=32/80

32/80; 16/40; 8/20; 4/10; 2/5

yay 32 is the answer good luck :)

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Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 36 48 51 39 39 42 36 48 33 39 42 45 (
Sonja [21]

Answer:

a) Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

\bar X = 41.538

s = 5.317

b) 44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

\bar X = 43.615

s= 5.583

c) 3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

\bar X= 3.462

s = 0.443

d) As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3.462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

Step-by-step explanation:

For this case we can use the following formulas for the mean and standard deviation:

\bar X = \frac{\sum_{i=1}^n X_i}{n}

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Part a

Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

And if we calculate the mean we got:

\bar X = 41.538

s = 5.317

Part b

For this case we know that each value present a 5% of rise so we just need to multiply each value bu 1.05 and we have this new dataset:

44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

And if we calculate the new mean and deviation we got:

\bar X = 43.615

s= 5.583

Part c

The new dataset would be each value divided by 12 so we have:

3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

And the new mean and deviation would be:

\bar X= 3.462

s = 0.443

Part d

As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3,462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

5 0
3 years ago
Jane was asked to find the factors of 8. Here is her work: 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 Factors of 8: 8, 16, 24 Which stateme
Maru [420]

Answer:

Jane found multiples of 8.

Jane should have gotten 1, 2, 4, 8 as her answer.

Step-by-step explanation:

Factors : 1,2,4,8.

1*8=8

2*4=8

4 0
2 years ago
1<br> A snail travels<br> of an inch in an hour.<br> How long will it take to travel 5 inches?
kondaur [170]

Answer:

5 hours

Step-by-step explanation:

1in per hour ×5=5 hours

5 0
2 years ago
Read 2 more answers
The area of a rectangular yard with a width of 6a²b feet is 72a³b⁴ square feet.What is the length
Temka [501]
L = A/W
L = 72a³b⁴ / <span>6a²b
L = 12 a b</span>³
8 0
2 years ago
R = 13.1 km., d = ? , C
rodikova [14]
R mean radius and d mean diameter so C mean circumference ? please clearifie these - thank you 
5 0
3 years ago
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