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Elodia [21]
3 years ago
13

B) the probability that the sample will contain at most 2 defective items is

Mathematics
1 answer:
leva [86]3 years ago
7 0
ExperimentSome process that occurs with well defined outcomes.OutcomeA result from a single trial of the experiment.Eventa collection of one or more outcomes.Sample SpaceA collection of all of the outcomes of an experiment.P(E)the probability of E happeningn(E)the number of elements in EProbability answers should be given as...fractions or decimalsProbability questions that ask for percent or chance should be given as...percentagesTheoretical Probability<span>What we expect the Probability of an event to be.
ie. each number on a cube should have a 1/6 probability of occurring</span>Empirical Probability<span>The Probability of an event after we run an experiment.
ie. each number on a cube should have a 1/6 probability of occurring, but we could roll a cube many times and may not get a certain number 1/6 of the time.</span>ORone or the other or both; it's ok to get just oneANDHave to get BOTHTree Diagram<span>can be drawn vertically(down) or horizontally(side ways)
*You can count the ends of the branches to get the number in the sample space(outcomes)</span>How to find the number of items when you know the probability it will occur..<span>(# of items)(Probability it will occur)
ie. If the probability a person is left handed is 1/10, how many people would you expect to be left handed in a room with 360 people?
ANSWER: (360)(1/10) = 36</span>Roster Form<span>List the elements in brackets
ie. set A is a set of all even numbers from 1-10; 
A = {2,4,6,8,10}</span>Subseta set whose elements are contained in another setComplement<span>All the elements in a set that are not in the subset
set S; S = {1,2,3,4,5,6,7,8,9,10}
subset A; A = {2,4,6,8,10}
complement of A; A' = {1,3,5,7,9}
Can be labeled with an ' OR another letter.</span>Complements Probabilities<span>If A and B are complements then P(A) + P(B) = 1
P(A) + P(A') = 1
P(A) + P(NOT A) = 1</span><span>
</span>
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What is the height of the tree in the image below? 10 points Wall 4 6 ft 24 O I foot O 36 foot None of the above
Zinaida [17]

16 ft

Explanation

Step 1

because the ligth comes in the same angle, we have 2 similar triangles .

so,as the triangles are similar,the ratio of the shorter leg to the bigger leg must be equal.

\begin{gathered} ratio=\frac{shorter\text{ leg}}{\text{bigger leg}} \\ ratio1=ratio2 \\ \frac{h}{24}=\frac{4}{6} \end{gathered}

Step 2

solve for h

\begin{gathered} \frac{h}{24}=\frac{4}{6} \\ \text{cross multiply} \\ 6\cdot h=4\cdot24 \\ 6h=96 \\ \text{divide boths} \\ \frac{6h}{6}=\frac{96}{6} \\ h=16 \end{gathered}

therefore, the heigth of the tree is 16 ft

5 0
10 months ago
How many solutions does 2.3y+3.2-y=2.1+1.3y+1.1 have?
jeka57 [31]
1.3y +3.2 = 1.3y +3.2

we notice that both sides of the equation are identical. So substitute y with any value and the equation would still be correct.

y has infinite solutions.
6 0
3 years ago
A large bag of cashews weighs 8 1/3 pounds. One serving is1/3 pound.how many servings are in the bag
denis23 [38]

I'm pretty sure it is 3 servings.


4 0
3 years ago
If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)<br>​
Ipatiy [6.2K]

<u>EXPLANATION</u><u>:</u>

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

<u>Answer</u> : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

<u>also</u><u> read</u><u> similar</u><u> questions</u><u>:</u> If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ?

brainly.com/question/12618768?referrer

if cos θ -sin θ =1, find θ cos θ +sin θ?

brainly.com/question/88125?referrer

7 0
2 years ago
In 2012, the population of a city was 6.29 million. The exponential growth rate was
RoseWind [281]

9514 1404 393

Answer:

  a) P(t) = 6.29e^(0.0241t)

  b) P(6) ≈ 7.3 million

  c) 10 years

  d) 28.8 years

Step-by-step explanation:

a) You have written the equation.

  P(t) = 6.29·e^(0.0241·t)

__

b) 2018 is 6 years after 2012.

  P(6) = 6.29·e^(0.0241·6) ≈ 7.2686 ≈ 7.3 . . . million

__

c) We want t for ...

  8 = 6.29·e^(0.0241t)

  ln(8/6.29) = 0.0241t

  t = ln(8/6.29)/0.0241 ≈ 9.978 ≈ 10.0 . . . years

__

d) Along the same lines as the calculation in part (c), doubling time is ...

  t = ln(2)/0.0241 ≈ 28.7613 ≈ 28.8 . . . years

4 0
2 years ago
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