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Masja [62]
3 years ago
8

Write the polynomial in standard form. 4g – g3 + 6g2 – 9

Mathematics
1 answer:
Brrunno [24]3 years ago
8 0
Write it in descending order of degree
that is

-g^3 + 6g^2 + 4g - 9
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In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen
Lesechka [4]

Step-by-step explanation:

Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.

Type            ni                xi                  si

Graded       42           0.486            0.187

No-fines      42           0.359           0.158

To find - a. Formulate the above in terms of a hypothesis testing problem.

b. Give the test statistic and its reference distribution (under the null hypothesis).

c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.

Proof -

a.)

Hypothesis testing problem :

H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.

b)

Test statistic :

Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}}  + \frac{s_{2}^{2} }{n_{2}} } }

Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42}  + \frac{0.02496 }{42} } }

Z = \frac{0.127 }{\sqrt{0.001468}}

Z = \frac{0.127 }{0.0377}

⇒Z(cal) = 3.3687

Z(tab) = 1.96

As Z (cal) > Z(tab)

So, we reject H0 at 5% Level of significance

p-value = 0.99962

Hence

There is significant difference in mean conductivity at the two materials.

5 0
3 years ago
The graph below shows Roy's distance from his office (y), in miles, after a certain amount of time (x), in minutes: Graph titled
Marina CMI [18]

Answer:

Felix

Step-by-step explanation:

The graph contains 3 segments,

first one is for the first 4minutes,

second one is for the next 2 minutes (standing still)

third one is for the last 2 minutes.

Only Felix has it right, the other students use absolute time in their statements, in stead of the difference between start and end. (e.g., from 4 to 6 is 2 minutes).

8 0
3 years ago
Please help ASAP failing class if i dont answer correct
NNADVOKAT [17]
(See the imagine for reference)
Let’s solve where they have a triangle, so the height is 9 cm, the base is 3 cm:

1/2 • 9 • 3 = 13.5

Since there’s 2 triangles we do:

13.5(2) = 27

Now the rectangle in the middle, where the height is 9cm and the base is 12cm:

12 • 9 = 108

Add up the areas:

108 + 27 = 135

8 0
3 years ago
What is the least common multiple of 8 and 12?
MArishka [77]
8:8,16,24,32,40,48,56,64,
12:12,24,36,48
Least common multiple is 24 because it's less then the other common multiples such as 48
4 0
3 years ago
If a consumer takes out a $100 payday loan, his total cost will be higher because of
Zolol [24]

Answer:

being smart

Step-by-step explanation:

4 0
2 years ago
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