Step-by-step explanation:
Total Surface Area of original cylinder
= (2×(22/7)×9)(9+24)
=18×22/7×33
=1,866.8
Total Surface Area of new cylinder
=(2×(22/7)×9/3)(9/3+24/3)
=(2×(22/7)×3)(3+8)
=6×22/7×11
=207.4
Change or Ratio of org. cylinder to new cylinder
=1,866.8/207.4
=9.0009
Answer:
Step-by-step explanation:
Hello!
The objective of the veterinarian is to check if racing contributes to lameness in racing horses. To conduct a test the veterinarian should select at random two groups of horses, group one will be of racing horses and group two should be of not racing horses. Other than racing, all the other differences between the horses that may cause lame or resistance to lame should be controlled( confounding variables) such as age, breed, the number of weakly hours spent exercising, diet, obstacle-free environment, etc...
This type of study is an experimental design.
The experimental design is an analytic essay characterized by the fact that the investigator controls the study variable and the randomization of the samples. In which all the variables are controlled except the ones that you wish to study.
I hope it helps!
Answer: $308
Step-by-step explanation:
Based on the information given in the question, the account balance of Ms. Smith at the end of June will be:
= $8118 + $710 - $1211 + $809
= $8426
Therefore, the difference in her account balance than it was on April 1st will be:
= $8426 - $8118
= $308
Problem 1
<h3>Answer: 3 slices</h3>
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Explanation:
1/4 = 0.25
She eats 25% of a pizza in 12 minutes
We can form the ratio 0.25/12
This ratio is then set equal to x/18. The value of x represents what proportion of the pizza is eaten after 18 minutes.
Solve for x
0.25/12 = x/18
0.25*18 = 12x ..... cross multiply
4.5 = 12x
12x = 4.5
x = 4.5/12
x = 0.375
x = 375/1000
x = (125*3)/(125*8)
x = 3/8
She ate 3/8 of the whole pizza in 18 minutes.
There are 8 slices in a full pizza, so (3/8)*8 = 3 means that she ate 3 slices.
Or you could say "eating 3 slices out of 8 total means she ate 3/8 of the full pizza".
===================================================
Problem 2
<h3>Answer:
5/8</h3>
-------------------------------------
Explanation:
We'll use the same idea as before. Though now we're setting 0.25/12 equal to x/30
Solving for x leads to...
0.25/12 = x/30
0.25*30 = 12x
7.5 = 12x
12x = 7.5
x = 7.5/12
x = 0.625
x = 625/1000
x = (125*5)/(125*8)
x = 5/8
She will eat 5/8 of the pizza in 30 minutes.
