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kifflom [539]
3 years ago
6

In simplifying the expression 2( 3x + 5) -6, what is the first thing to do?

Mathematics
1 answer:
hodyreva [135]3 years ago
3 0

Answer:

distribute 2 inside the parenthesis

Step-by-step explanation:

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The sum of four consecutive integers is 48. What is the smallest of four integers?<br><br> Plz hurry
damaskus [11]

Answer:

the sum of four consecutive, odd whole numbers is 48

Step-by-step explanation:

8 0
3 years ago
What is the cube root of 64i
Rus_ich [418]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
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
Determine whether the integral from -3 to infinity 1/sqrt (5 - x) is divergent or convergent. If it is convergent, evaluate it.
BigorU [14]

It's divergent because 1/√(5 - <em>x</em>) is defined only for <em>x</em> < 5, which means the integral from 5 to infinity doesn't exist.

5 0
3 years ago
What is the perimeter of a rectangle with a. Length of 13 feet and a width of 9 feet
lisabon 2012 [21]
13 + 13 + 9 + 9
The perimeter is 44
5 0
3 years ago
Read 2 more answers
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