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Alex17521 [72]
3 years ago
5

What is the length of a toothpick in millimeters

Mathematics
1 answer:
Grace [21]3 years ago
7 0
It's 59 millimeters long. Hope this helps.
You might be interested in
Solve 9(t-7)=u for t<br> Show all solving steps.
Gwar [14]

\begin{gathered}\\ \sf\longmapsto 9(t-7)=u\end{gathered}

\begin{gathered}\\ \sf\longmapsto 9t-63=u\end{gathered}

\begin{gathered}\\ \sf\longmapsto 9t=u+63\end{gathered}

\begin{gathered}\\ \sf\longmapsto \frac{9t}{9}=\frac{u+63}{9}\end{gathered}

\begin{gathered}\\ \sf\longmapsto t=\frac{u+63}{9} \end{gathered}

\begin{gathered}\\ \sf\longmapsto t=\frac{u}{9}+7\end{gathered}

3 0
3 years ago
Read 2 more answers
Three times each day, a quality engineer samples a component from a recently manufactured batch and tests it. Each part is class
soldier1979 [14.2K]

Answer:

a. Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }

b. Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

c. Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }

d. Outcomes of A⋂C = { (C,C,C) }

e. Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S),   (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }

f. Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

g. Outcomes of A⋂C^{c} = { (D,D,D), (S,S,S) }

h. Outcomes of A^{c}⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C)}

i. Events A and C are not mutually exclusive

j. Events B and C are mutually exclusive

Step-by-step explanation:

Given - Three times each day, a quality engineer samples a component

             from a recently manufactured batch and tests it. Each part is

             classified as conforming (suitable for its intended use),  

             downgraded (unsuitable for the intended purpose but usable for  

             another purpose), or scrap (not usable). An experiment consists

             of recording the categories of the three parts tested in a particular

              day.

To find - a. Let A be the event that all the parts fall into the same

                  category. List the outcomes in A.

              b. Let B be the event that there is one part in each category.

                  List the outcomes in B.

              c. Let C be the event that at least two parts are conforming.

                  List the outcomes in C.

              d. List the outcomes in A⋂C

              e. List the 27 outcomes in the sample space.

               f. List the outcomes in A U B.

              g. List the outcomes in A⋂C^{c}

              h. List the outcomes in ⋂C.

              i. Are events A and C mutually exclusive? Explain.

              j. Are events B and C mutually exclusive? Explain.

Proof -

Let

Conforming part = C

Downgraded part = D

Scrap part = S

a.)

Given , Let A be the event that all the parts fall into the same category.

Outcomes of A = { (C,C,C) , (D,D,D), (S,S,S) }

b.)

Given, Let B be the event that there is one part in each category.

Outcomes of B = { (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

c.)

Given,  Let C be the event that at least two parts are conforming.

Outcomes of C = { (C,C,C),(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }

d.)

Outcomes of A⋂C = { (C,C,C) }

e.)

Outcomes of Sample space = { (C,C,C), (C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S),   (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }

f.)

Outcomes of A U B = { (C,C,C) , (D,D,D), (S,S,S), (C,D,S),(C,S,D),(D,C,S),(D,S,C),(S,C,D),(S,D,C) }

g.)

Outcomes of C^{c}  =  {  (C,D,D), (C,D,S), (C,S,D), (C,S,S), (D,C,D),(D,C,S), (D,D,C), (D,D,D), (D,D,S), (D,S,C), (D,S,D), (D,S,S), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), (S,S,S) }

Outcomes of A⋂C^{c} = { (D,D,D), (S,S,S) }

h.)

Outcomes of A^{c} = {(C,C,D), (C,C,S), (C,D,C), (C,D,D), (C,D,S), (C,S,C), (C,S,D), (C,S,S), (D,C,C), (D,C,D),(D,C,S), (D,D,C),  (D,D,S), (D,S,C), (D,S,D), (D,S,S),   (S,C,C), (S,C,D), (S,C,S), (S,D,C), (S,D,D), (S,D,S), (S,S,C), (S,S,D), }

Outcomes of A^{c}⋂C = {(C,C,D),(C,C,S),(C,D,C),(C,S,C),(D,C,C),(S,C,C) }

i.)

As we two that Two events A and C are mutually exclusive iff A ∩ C = ∅

Now,

A ∩ C = { (C,C,C) }

⇒Events A and C are not mutually exclusive.

j.)

As we two that Two events B and C are mutually exclusive iff B ∩ C = ∅

Now,

B ∩ C = ∅

⇒Events B and C are mutually exclusive.

8 0
2 years ago
Two people wrote a book together. They agreed to share the royalties so that the senior author received twice as much as the
lara [203]

Answer:

A book royalty is the amount that a publisher pays an Author in exchange for the rights to publish their book. Royalties are calculated as a percentage of book sales. For example, an author might earn 7.5% royalties on every paperback sold

Step-by-step explanation:

7 0
2 years ago
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Given that 3x + y = 0 and 2x - y = 5, find the value of y.​
professor190 [17]

Answer:

<em>3x</em><em> </em><em>+</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>0</em>

<em>x</em><em> </em><em>=</em><em> </em><em>-</em><em>y</em><em>/</em><em>3</em>

<em>Now</em><em>,</em><em> </em>

<em>2x</em><em> </em><em>-</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>5</em>

<em>2</em><em> </em><em>(</em><em>-</em><em>y</em><em>/</em><em>3</em><em>)</em><em> </em><em>-</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>5</em>

<em>(</em><em>-</em><em>2y</em><em> </em><em>-</em><em> </em><em>3y</em><em>)</em><em>/</em><em>3</em><em> </em><em>=</em><em> </em><em>5</em>

<em>-</em><em>5y</em><em>/</em><em>3</em><em> </em><em>=</em><em>5</em>

<u><em>y</em><em>=</em><em>-</em><em>3</em></u>

<em>#</em><em>$</em><em>#HOPE</em><em> </em><em>YOU</em><em> </em><em>UNDERSTAND</em><em> </em><em>#</em><em>$</em><em>#</em>

<em>#</em><em>$</em><em>¥</em><em> </em><em>THANK</em><em> </em><em>YOU</em><em> </em><em> ¥</em><em>$</em><em>#</em>

<em>❤</em><em> </em><em>☺</em><em> </em><em>☺</em><em> </em><em>☺</em><em> </em><em /><em> </em><em>☺</em><em> </em><em>☺</em><em> </em><em>☺</em><em> </em><em>❤</em><em> </em>

4 0
3 years ago
F(x) = 7x
ziro4ka [17]

The parent function is given by f(x)= 7x

and the transformation function is given by g(x)= 7x + 6

We can see that, 6 has been added to the function f(x) to get the function g(x).

We know that when we add some constant 'c' in the function then the function gets shifted upward by 'c' units.

Therefore, we will get g(x), when we will shift f(x) upward by 6 units.

Both functions are linear function hence, the asymptote of g(x) is the asymptote of f(x) shifted six units up.

D is the correct option.

7 0
3 years ago
Read 2 more answers
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