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anyanavicka [17]
3 years ago
7

The accompanying data on x = current density (mA/cm2) and y = rate of deposition (µm/min) appeared in an article. Do you agree w

ith the claim by the article's author that "a linear relationship was obtained from the tin-lead rate of deposition as a function of current density"? x 20 40 60 80 y 0.14 1.25 1.71 2.07 Find the value of r2. (Round your answer to three decimal places.) r2 =
Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0

Answer:

92.616%

Step-by-step explanation:

Given is the data of x and y where

x = current density (mA/cm2) and

y = rate of deposition (µm/min)

to find out whether there is linear relationship between x and y

x y

 

20 0.14

40 1.25

60 1.71

80 2.07

 

r 0.962364513

r^2 0.926145457

Since r is very near to 1, we find that there is a strong positive correlation and hence linearity can be assumed

r square the coefficient of determination is 0.9261 which is 92.616%

this is the measure which accounts for variation in x due to y and or variation in y due to x.

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To the nearest tenth, find the volume of a sphere with a diameter of 36 cm. Use 3.14
lesya [120]

Answer:

The volume of the sphere is 24416.6 cm³

Step-by-step explanation:

To calculate the volume of a sphere we have to use the following formula:

v = volume

r = radius

v = ⁴⁄₃πr³.

To solve this formula we first have to have all the data, as we see we need to calculate the radius, which is calculated by dividing the diameter by 2

r = d/2

r = 36cm/2

r = 18cm

Now that we have all the data we can solve the formula

v = ⁴⁄₃πr³.

v = ⁴⁄₃ * 3.14 * (18cm)³

v = 24416.64 cm³

Round to the nearest tenth

v = 24416.6 cm³

5 0
3 years ago
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Answer:

first and third

Step-by-step explanation:

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explain how multiplying a whole number and a decimal is similar to and different from multiplying whole numbers
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6 0
3 years ago
Help explain this to me: Gerome collected $9.23 more than Manuel? If Cindy still collects 2 times as much as Gerome, ho much mon
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3 0
3 years ago
A catering service offers
Fiesta28 [93]

Answer:

There are 52920 ways to do the banquet

Step-by-step explanation:

* Lets revise the combination to solve this problem

- A combination is a collection of the objects where the order

 doesn't matter

- The order is not important in this problem, so we can use the  

  combination nCr to find how many ways can this done

* Lets solve the problem

- A catering service offers 6 appetizers, 7 main courses, 10 desserts.

- A customer is to select 5  appetizers,  4  main courses, 5  desserts

 for a banquet

∵ We want to select  5  appetizers from 6

∴ There are 6C5 ways to chose the appetizers

∵ 6C5 = 6

∴ There are 6 ways to chose the appetizers

∵ We want to select  4  main courses from 7

∴ There are 7C4 ways to chose the main courses

∵ 7C4 = 35

∴ There are 35 ways to chose the main courses

∵ We want to select  5  desserts from 10

∴ There are 10C5 ways to chose the desserts

∵ 10C5 = 252

∴ There are 252 ways to chose the desserts

- To find the number of ways to do the banquet multiply all the

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∵ The total ways = 6C5 × 7C4 × 10C5

∴ The total ways = 6 × 35 × 252 = 52920

* There are 52920 ways to do the banquet

5 0
3 years ago
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