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3 years ago

How to answer (2n + 2)(6n + 1)

Mathematics

2 answers:

Murrr4er [49]3 years ago

8 0

Answer:

Step-by-step explanation:

(2n+ 2)(6n+ 1)

2n+6n=8n

1+2=3

=8n+3

Andru [333]3 years ago

6 0

Answer:

P.E.M.D.A.S, Then combine like terms.

Step-by-step explanation:

(2n +2)(6n + 1)

P.E.M.D.A.S tells you to do parenthasis first, but because both equations are in parenthasis, follow the equation in order. Next, combine like terms.

(2n + 6n)(2+1)

2n + 6n = 8n

2 + 1 = 3

Isolate the variable

8n * 3

8n/ 8 = n

8/ 3 = 2.6

n = 2.6

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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

Isaac is 3 years older than Rachael. In 4 years the sum of their ages will be 75. How old is Isaac now?

MatroZZZ [7]

Answer:

36 years old

Step-by-step explanation:

let x = age of Rachael

2x+3 = current ages combined

[(2x+3)+4]+4 = 75

2x+11 = 75

2x = 75-11

2x = 64

x = 32

Rachel is 32 years old. Isaac is 3 years older, which is 35 years old.

Hope this helped! If you need any help, tell me in the comments.

6 0

3 years ago

Read 2 more answers

A country's balance of payments is divided up into three categories, the

FinnZ [79.3K]

Answer:

B) the flow of goods and services

Step-by-step explanation:

Balance of payments (BOP) is a statement of all transactions made between one country and the rest of the world at a particular period of time. It is also called balance of international payment. BoP is divided into current and capital account.

1. The current account: This is account of country's net trade in goods and services, net earnings on cross-border investments, and its net transfer payments. The current account measures the flow of goods and services.

2. The capital account: This is a country's imports and exports of capital and foreign aid. It can also be called financial account.

The sum of all transactions recorded in the balance of payments should be zero.

Balance of payment deficit is when a country's import is higher than its export.

Balance of payment surplus is when a country's export is greater than its import.

6 0

3 years ago

If you could give the answer without explanation it would be greatly appreciated

zysi [14]

Answer:

i think its (4, -6)

Step-by-step explanation:

6 0

3 years ago

How do I find if this type of equation has one solution two solutions or no solution 5x^2+14=19 I tried using the b^-4ac method

mash [69]

Answer:

x = 5 and x = -19

Step-by-step explanation:

You're on the right track. It's the "discriminant" that tells you what you want to know here. Before starting, arrange the terms of your quadratic in descending orders of x: 5x^2 + 14x - 19 = 0 (Note that I assumed you meant 14x instead of just 14).

Then the coefficients of this quadratic are a = 5, b = 14 and c = -19.

You are referring to the "quadratic formula." It states this:

-b ± √(b²-4ac)

x = -----------------------

So, we insert the a, b and c values as indicated above:

-14 ± √( 14² - 4[5][-19] ) -14 ± √(196 - 4[5][-19] ) -14 ± √576

x = ----------------------------------- = ---------------------------------- = ----------------------

2(10) 20 20

This comes out to:

x = (-14 + 24) / 2 and x = (-14 - 24) / 2

or:

x = 5 and x = -19

8 0

3 years ago

How to answer (2n + 2)(6n + 1)​

How to answer (2n + 2)(6n + 1)