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LiRa [457]
3 years ago
7

Three teachers surveyed their students to find out how many of them played sports. Which 2 surveys show a proportional relations

hip?
a. A survey of 150 student showed that 40 of them play a sport.
b. A survey of 225 students showed that 60 students play sports.
c. A survey of 175 students showed that 50 students play sports.
Mathematics
1 answer:
barxatty [35]3 years ago
4 0

b. A survey of 225 students showed that 60 students play sports.

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What is the variation constant for an inverse squared relationship where we know x = –4 and y = 3?
Sloan [31]

Let the constant be k.

For an inverse squared proportion the formula is y = k/x^2

Insert values of y and x into the formula.

3 = k/(-4)^2

3(-4)^2 = k

k = 3(16)

k = 48

5 0
3 years ago
analyze this situation and determine how much cookie dough is "wasted" when 3-inch cookies are cut. then have each team member c
Cerrena [4.2K]

Answer:

The result is the same.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

  • square 12 inches wide
  • 3-inch diameter cookies are cut => its radius is: 1.5 inches

Hence we can find some information:

  • The area of the square is: 12^{2}  = 144 square inches
  • The area of a cookies is: r^{2}π = 3.14*1.5^{2} = 7.065 square inches
  • The total number of 3-inch cookies are: 4*4 =16

=> The total area of the cookies is: 16* 7.065 = 113.04 square inches

=> how much cookie dough is "wasted" when 3-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96  square inches

If the diameter is increased to 4 inches => its radius: 2 inches, we have:

  • The area of a cookies is: r^{2}π = 2^{2} *3.14 = 12.56 square inches
  • The total number of 3-inch cookies are: 3*3 =9

=> The total area of the cookies is: 9* 12.56 = 113.04 square inches

=> how much cookie dough is "wasted" when 4-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96  square inches

The result is the same.

8 0
3 years ago
As explained in the Help section for the Workforce Compensation, Training, and Product Assembly decision screen, if (1) a compan
Mandarinka [93]

Answer:

e. the labor cost for a drone assembled at overtime would be $75.33.

Step-by-step explanation:

From given data

income of a single PAT member is $22,000+$800+$3,200=$26,000

The annual income of 4 PAT members is 4*($26,000) = $1,04,000 --------->(1)

and also a PAT is paid a $6 assembly quality incentive per UAV drone assembled that is equally divided among 4 PAT members.

And the Quality incentive per UAV drone for 4 PAT members = $6, and as the PAT's productivity is 1500 drones per year.

The total Annual Quality incentive for 4 PAT members = 1500*($6) = $9,000 --------->(2)

Hence, the Company invests a total labor cost of $1,04,000 + $9,000 [From, (1)+(2)], for 1500 drones

Thus, the Company invests a total labor cost of $1,13,000 for 1500 drones

Thus, for each drone the investment for the labor cost becomes ($1,13,000) / 1500 = $75.33

Hence, the labor cost for a drone assembled is $75.33

e. the labor cost for a drone assembled at overtime would be $75.33 is the answer

4 0
3 years ago
Read 2 more answers
The sum of 1/9, 2/3, and 5/18is<br><br> A. 8/30.<br> B. 12/9.<br> C. 19/18.<br> D. 4/15.
mafiozo [28]
The least common multiple of 9, 3, and 18 is 18.

Convert 1/9 to 2/18.

Convert 2/3 to 12/18.

Then add the numerators:

2 + 12 + 5 = 19

So the answer is 19/18, or 1 1/18 if you prefer.
8 0
4 years ago
Read 2 more answers
Find the mean, median, mode, and range of the data set,
ozzi

Answer:

C

Step-by-step explanation:

8 0
3 years ago
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