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3 years ago

Which rule best describes the pattern?3, 9, 27, 81, _,,_

2 answers:

8 0

Here, we need to find the pattern.

3*3 = 9
9*3 = 27
27*3 = 81
81*3 = 243
243*3 = 729
729*3 = 2187

The pattern here is obvious. Multiply by 3.

Final answer:- Multiply by 3

just olya [345]3 years ago

8 0

The pattern is that you multiply the previous number by three. So the next three answers would be 243, 729, and 2,187. Hope this helps!

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A machine produces parts that are either defect free (90%), slightly defective (3%), or obviously defective (7%). Prior to shipm

AURORKA [14]

Answer:

(a) 0.0686

(b) 0.9984

Step-by-step explanation:

Given that a machine produces parts that are either defect free (90%), slightly defective (3%), or obviously defective (7%).

Let A, B, and C be the events of defect-free, slightly defective, and the defective parts produced by the machine.

So, from the given data:

P(A)=0.90, P(B)=0.03, and P(C)=0.07.

Let E be the event that the part is disregarded by the inspection machine.

As a part is incorrectly identified as defective and discarded 2% of the time that a defect free part is input.

So, $P\left(\frac{E}{A}\right)=0.02$

Now, from the conditional probability,

$P\left(\frac{E}{A}\right)=\frac{P(E\cap A)}{P(A)}$

$\Rightarrow P(E\cap A)=P\left(\frac{E}{A}\right)\times P(A)$

$\Rightarrow P(E\cap A)=0.02\times 0.90=0.018\cdots(i)$

This is the probability of disregarding the defect-free parts by inspection machine.

Similarly,

$P\left(\frac{E}{A}\right)=0.40$

and $\Rightarrow P(E\cap B)=0.40\times 0.03=0.012\cdots(ii)$

This is the probability of disregarding the partially defective parts by inspection machine.

$P\left(\frac{E}{A}\right)=0.98$

and $\Rightarrow P(E\cap C)=0.98\times 0.07=0.0686\cdots(iii)$

This is the probability of disregarding the defective parts by inspection machine.

(a) The total probability that a part is marked as defective and discarded by the automatic inspection machine

$=P(E\cap C)$

$= 0.0686$ [from equation (iii)]

(b) The total probability that the parts produced get disregarded by the inspection machine,

$P(E)=P(E\cap A)+P(E\cap B)+P(E\cap C)$

$\Rightarrow P(E)=0.018+0.012+0.0686$

$\Rightarrow P(E)=0.0986$

So, the total probability that the part produced get shipped

$=1-P(E)=1-0.0986=0.9014$

The probability that the part is good (either defect free or slightly defective)

$=\left(P(A)-P(E\cap A)\right)+\left(P(B)-P(E\cap B)\right)$

$=(0.9-0.018)+(0.03-0.012)$

$=0.9$

So, the probability that a part is 'good' (either defect free or slightly defective) given that it makes it through the inspection machine and gets shipped

$=\frac{\text{Probabilily that shipped part is 'good'}}{\text{Probability of total shipped parts}}$

$=\frac{0.9}{0.9014}$

$=0.9984$

(c) The probability that the 'bad' (defective} parts get shipped

=1- the probability that the 'good' parts get shipped

=1-0.9984

=0.0016

5 0

2 years ago

In a basketball game, Tatiana made 23 baskets. Each of the baskets was worth either 2 or 3 points, and Tatiana scored a total of

vekshin1

X+y=23 (x and y added equal the number of baskets made)

2x+3y=53 (since each basket is worth a certain amount of points, x and y must be multiplied by their amount of baskets and added together to get the total number of points)

Hope this helps!

4 0

2 years ago

Read 2 more answers

Expressed as a percentage, how many more avocados does the city of

mash [69]

Answer:

In Phoenix they consume 60% more avocados than in Denver.

Step-by-step explanation:

Given that in Denver they consume 75 units of avocados, while in Phoenix they consume 120 units of said fruit, to determine the percentage difference between the consumption of both cities it is necessary to perform the following calculation:

75 = 100

120 = X

((120 x 100) / 75) = X

(12,000 / 75) = X

160 = X

160 - 100 = 60

Therefore, in Phoenix they consume 60% more avocados than in Denver.

8 0

2 years ago

The proof TriangleABC ≅ TriangleDCB that is shown. Given: AngleA ≅ AngleD; CD||AB Prove: TriangleABC ≅ TriangleDCB Triangles C D

IrinaVladis [17]

Answer:

AAS

Step-by-step explanation:

On edgu

7 0

2 years ago

Read 2 more answers

Which of the following is not a congruence theorem or postulate A. SSA B. SAS C. AAS D. SSS

bixtya [17]

Answer:ITS A

Step-by-step explanation:

SAS: side angle side

SSA: is not a congruence theorem

AAS:angle angle side

SSS:side side side

3 0

2 years ago

Which rule best describes the pattern?3, 9, 27, 81, ___,____,___

Which rule best describes the pattern?3, 9, 27, 81, _,,_