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ivolga24 [154]
3 years ago
10

Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewab

le resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics.
The accompanying data on melting point (degree C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article.


180.4 181.7 180.8 181.7 182.7 181.5 181.4 182.2 182.1 180.2 181.6 180.5

Compute the following. (Round your answers to two decimal places.)

(a) the sample range _______ degree C

(b) the sample variance s^2 from the definition s^2 = _______

(c) the sample standard deviation s = _______

(d) s^2 using the shortcut method s^2 = _______
Mathematics
1 answer:
Hoochie [10]3 years ago
5 0

Answer:a)  sample range (R)=2.5

b) sample variance = 0.605

c) sample standard deviation S =0.7778

Step-by-step explanation:

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A family has two cars. the first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of
Aliun [14]
Let x and y represent the numbers of gallons used by the 40 mpg and 35 mpg cars, respectively.
.. x +y = 40 . . . . . . . . . . .total consumption is 40 gallons
.. 40x +35y = 1525 . . . . total miles driven = 1525

Multiply the first equation by 40 and subtract the second.
.. 40(x +y) -(40x +35y) = 40(40) -(1525)
.. 5y = 75
.. y = 15
.. x = 40 -15 = 25

The 40 mpg car consumed 25 gallons.
The 35 mpg car consumed 15 gallons.
7 0
3 years ago
What is the measure of angle A?
fgiga [73]

Answer:

∠A=65º

Step-by-step explanation:

  • A angle of a line is 180º, so we can say that angle ABC=(180-6x)º
  • The interior angkes of a triangle is 180º, so (x+40)º+(3x+10)º+(180-6x)º=180º
  • Remove parenthesis, x+40+3x+10+180-6x=180
  • Combine like terms, -2x+230=180
  • Subtract 180, -2x=-50
  • Divide by -2, so x=25

Now:

  • ∠CAB=(25+40)º=65º
  • ∠ABC=[180-6(25)]º=30º
  • ∠BCA=[3(25)+10]=85º
5 0
3 years ago
What is the value of 2 in 83628 and 208
masya89 [10]
2 in 83628 is the tenths and 208 is the hundreds
6 0
4 years ago
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What else would need to be congruent to show that triangle EFG=~ triangle HIJ by SSS?
Anuta_ua [19.1K]

Answer:

C

Step-by-step explanation:

In order to prove congruency using SSS, we need to prove that all three pairs of sides are congruent.

We are already given that EF ≅ HI and that FG ≅ IJ.

Therefore, the last bit of information we need to prove congruency using SSS is that EG ≅ HJ.

Hence, our answer is C.

8 0
3 years ago
Jackie wants to learn more about local college. which of the following is a statistical question jackie could ask?
Maru [420]
The answer to this question is C
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3 years ago
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