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laila [671]
3 years ago
9

Simplify the expression, and explain each step. 1/3*q*3

Mathematics
1 answer:
bezimeni [28]3 years ago
6 0
So, 1/3*q*3 is equal to 1/3*3*q because of the commutative property of multiplication.

So, then, we can multiply 1/3 and 3 to get one.
1/3*3 = 3/3 = 1

So our equation would end up to be
1q, or q
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The Ball Corporation's beverage can manufacturing plant in Fort Atkinson, Wisconsin, uses a metal supplier that provides metal w
vampirchik [111]

Answer:

The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{0.000586}{\sqrt{59}} = 0.0002

The lower end of the interval is the sample mean subtracted by M. So it is 0.2905 - 0.0002 = 0.2903 mm

The upper end of the interval is the sample mean added to M. So it is 0.2905 + 0.0002 = 0.2907 mm

The 95 percent confidence interval for the true mean metal thickness is between 0.2903 mm and 0.2907 mm

4 0
3 years ago
Explain Steps. Do not answer. <br>#10 and 11<br>Questions are in the Picture
svet-max [94.6K]

Answer:

Step-by-step explanation:

For problem 10:

1. AE/ED=AC/CB (Since triangle ABC is similar to triangle ADE, we can determine that the ratio of AE to ED is equal to the ratio of AC to CB)

2. AE/ED=(AE+EC)/CB (Rewrite AC as the sum of the lengths forming it; This is sometimes referred to as the Partition Postulate)

3. 9/x=(9+6)/10 (Substitute the given values into this equation)

4. x=6 (Use algebra to solve for x)

For problem 11:

1. AG/AB=AE/AD (Use the same strategy as step one in problem 10, since the rectangles are similar we can create this equation)

2. AG/(AG+GB)=AE/(AE+ED) (Rewrite sides as the some of their parts)

3. 14/(14+7)=18/(18+x) (Substitute given values)

4. x=9 (Solve for x)

lmk if there are mistakes in my explanation, hope this helps :)

8 0
3 years ago
Mary bought 4 apples at $8. Complete the table.<br> Apples Price<br> 1 <br><br> 4<br> 3 6<br> 7
Eva8 [605]

Mary bought 4 apples at $8

so unit price = 8/4 = $2/each

Table:

Apples                Price

1                                    $2

3                                   $6

4                                   $8

7                                    $14

6 0
4 years ago
Read 2 more answers
A three-bend saddle will only fit tight if the radius of the obstruction is equal to or less than the radius of the bend.
Dima020 [189]

Answer:

True

Step-by-step explanation:

A three-bend saddle consists of a center bend and 2 side bends with the center bend having twice the angle of the side bends. Therefore, the radius of the obstruction has to be equal or less than the radius of the bend in order to fit tightly

6 0
3 years ago
Anybody else panicking while trying to finish their classes?<br> (please say it's not just me)
emmasim [6.3K]

Answer:

no it's me too haha

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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