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3 years ago

Describe the relationship between 2/3 of 3/4 and 3/4 of 2/3?

1 answer:

5 0

The relationship between 2/3 of 3/4 and 3/4 of 2/3 is that the product will equal the same because in multiplication, it doesn't matter what order you put the numbers in because it will equal the same product.

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Patty has 20$ to spend on gifts for her friends.her mother gives her 5$ more .if each gift costs 5$ , how many gifts can she buy

nevsk [136]

She can buy 5 gifts
$20+$5=$25
$25÷$5=5 gifts

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3 years ago

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Determine whether the graphs shows growth or decay

mart [117]

Answer:

7) Decay

8) Growth

9) Growth

10) Growth

Step-by-step explanation:

7) As x increases, y is decreasing because as you add more value to the exponent, 1/3 gets smaller and smaller.

8) As x increases, y is increasing because as you add more value to the exponent, 2 gets bigger and bigger.

9) As x increases, y is increasing because as you add more value to the exponent, 2 gets bigger and bigger.

10) As x increases, y is increasing because as you add more value to the exponent, 2 gets bigger and bigger.

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3 years ago

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

3 years ago

Bayview middle school wants to change their school mascot. they came up with with 5 mascot names and surveyed a group of random

iogann1982 [59]

76.6% so rounded up would be 77% as an a fraction 46/60

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3 years ago

Use a table to find (x+3)(x+2).

bixtya [17]

Answer:

X^2 + 5x + 6

Step-by-step explanation:

(X times X) + (x times 2) + (x times 3) + ( 3 times 2)

X^2 + (2x) + (3x) + 6

combind like terms

X^2 + 5x + 6

8 0

3 years ago

Read 2 more answers