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vitfil [10]
4 years ago
14

Which situation is an example of an observational study?

Mathematics
1 answer:
Zolol [24]4 years ago
6 0
I think it’s gonna be B
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A rectangle has a perimeter of 71.8 yards and a height of 3.3 yards. What is the length of the base?
Studentka2010 [4]

The length of the base is 32.6

3.3 + 3.3 = 6.6

Subtract 6.6 from 71.8 : 65.2

Divide that by 2 : 32.6

7 0
3 years ago
Read 2 more answers
If a/b < c/d with b > 0, d > 0, prove that a+c / b+d lies between the two fractions a/b and c/d .​
Tems11 [23]

Divide through everything by <em>b</em> :

\dfrac{a+c}{b+d} = \dfrac{\dfrac ab + \dfrac cb}{1 + \dfrac db}

Since <em>a/b</em> < <em>c/d</em>, it follows that

\dfrac{a+c}{b+d} < \dfrac{\dfrac cd+\dfrac cb}{1 + \dfrac db}

Multiply through everything on the right side by <em>b/d</em> to get

\dfrac{a+c}{b+d} < \dfrac{\dfrac{bc}{d^2}+\dfrac cd}{\dfrac bd+1} = \dfrac{\dfrac cd\left(\dfrac bd+1\right)}{\dfrac bd+1} = \dfrac cd

and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) < <em>c/d</em>.

For the other side, you can do something similar and divide through everything by <em>d</em> :

\dfrac{a+c}{b+d} = \dfrac{\dfrac ad + \dfrac cd}{\dfrac bd + 1}

and <em>a/b</em> < <em>c/d</em> tells us that

\dfrac{a+c}{b+d} > \dfrac{\dfrac ad + \dfrac ab}{\dfrac bd + 1}

Then

\dfrac{a+c}{b+d} > \dfrac{\dfrac ab + \dfrac{ad}{b^2}}{1 + \dfrac db} = \dfrac{\dfrac ab\left(1+\dfrac db\right)}{1 + \dfrac db} = \dfrac ab

and so (<em>a</em> + <em>c</em>)/(<em>b</em> + <em>d</em>) > <em>a/b</em>.

Then together we get the desired inequality.

5 0
3 years ago
Unit cube:
Nutka1998 [239]

Answer:

12 unit cubes

Step-by-step explanation:

There are 4 unit cubes on each layer, and there are 3 layers as you can see. So 4 × 3 would equal 12.

8 0
3 years ago
150% as a simplified fraction
Ipatiy [6.2K]

Answer:

It would be 3/2 as 1/2 is 50%, 2/2 or 1 is 100% and 3/2 is 150%

Step-by-step explanation:

7 0
3 years ago
Use the picture below to find the length of x. Round your answer to the nearest hundredth.
valentinak56 [21]

Answer: 6.71

=======================================

Work Shown:

The longest horizontal portion of length 6 breaks up into two equal pieces of length 3 each. Focus on the smaller right triangle on the right hand side. This right triangle has legs of 3 and 6. The hypotenuse is x.

Use the pythagorean theorem with a = 3, b = 6, c = x to find the value of x

a^2 + b^2 = c^2

3^2 + 6^2 = x^2

9 + 36 = x^2

45 = x^2

x^2 = 45

x = sqrt(45)

x = 6.7082039

x = 6.71

4 0
3 years ago
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