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Pachacha [2.7K]
3 years ago
15

There are 10 rolls of film in a box and 3 are defective. two rolls are selected without replacement. what is the probability of

selecting a defective roll followed by another defective roll?
Mathematics
1 answer:
german3 years ago
4 0

P(picking one defective) = 3/10
P(picking a 2nd defective) = 2/9


P(1 and 2  defective) = 3/10 x 2/9  = 6/90 = 0.066

Second method using combination:
 ³C₂ / ¹⁰C₂ = 1/15 = 0.066
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Given: angle 1 and angle 2 form a linear pair,
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Answer:

Look at the proof down

Step-by-step explanation:

The given is;

→ ∠1 and ∠2 form a linear pair

→ ∠1 ≅ ∠3

We want to prove;

→ ∠2 and ∠3 are supplementary

<em>We will write the proof in like a table</em>

1. ∠1 and ∠2 formed a linear pair  ⇒  1. Given

2. m∠1 + m∠2 = 180°  ⇒ 2. Sum of angles on a straight line

3. ∠1 and ∠2 are supplementary angles  ⇒  3. Supplementary angles add up to 180°

4. ∠1 ≅ ∠3  ⇒  4. Given

5. m∠2 + m∠3 = 180°  ⇒  5. Substitution method

6. ∠3 is a supplement of ∠2  ⇒  6. Supplement of equal angles

7. ∠2 and ∠3 are supplementary  ⇒  7. Proved

8 0
3 years ago
In how many ways can the letters in the word 'Illinois' be arranged?
xenn [34]

Answer:

The numbers of ways to permute letters of the word Illinois if the two Ls must be consecutive is 7.

7 0
3 years ago
If the mean of 25, 28, a, 30 and 32 is 27, then find the value of a.
Anna11 [10]

Answer:

a = 20

Step-by-step explanation:

The mean is calculated as

mean = \frac{sum}{count}

          = \frac{25+28+a+30+32}{5}  = \frac{115+a}{5}

Then

\frac{115+a}{5} = 27 ( multiply both sides by 5 to clear the fraction )

115 + a = 135 ( subtract 115 from both sides )

a = 20

6 0
3 years ago
The reacttimes data set has 50 observations of human reaction times to a physical stimulus. The reaction times are named times a
scoundrel [369]

Solution: The formula for mean is:

Mean=\frac{\sum x}{n}

Where:

\sum x is the sum of given observations

n is the number of observations

\sum x=87.12

n=50

\therefore Mean =\frac{87.12}{50}= 1.74 rounded to two decimal places

To find the median, we need to first arrange the data in ascending order but we are already given the data in ascending order.

Therefore, the median is:

Median=\left(\frac{n+1}{2} \right)^{th} item

                  =\left(\frac{51}{2} \right)^{th} item

                  =25.5^{th} item

                  =1.52+0.5(1.54-1.52)

                  =1.52+0.01

                  =1.53

Therefore, the median = 1.53

4 0
3 years ago
I need help simplifying 5 1/2 ÷ 2 1/2 then writing it as a mixed number ​
Yakvenalex [24]

Answer:

exact form

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mixed number form 2 1/5

Step-by-step explanation:

6 0
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