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kow [346]
3 years ago
14

Floor. How many tooth picks will it take to

Mathematics
2 answers:
Vikentia [17]3 years ago
4 0
Need more info i think
sp2606 [1]3 years ago
4 0

would love to help but I need the size of tooth picks and marshmallows and how tall each story needs to be

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The probability of getting a head when a biased coin is tossed is 2/5. The coin is tossed three times. Find the following probab
NeTakaya

Answer:

<u>P(three tails) = 27/125 or 21.6%</u>

<u>P(two tails followed by one head) = 18/125 or 14.4%.</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

Probability of getting a head when a biased coin is tossed = 2/5

therefore,

Probability of getting a tails when a biased coin is tossed = 3/5

2. Find the following probabilities and select the correct solution.

P(three tails) =

3/5 * 3/5 * 3/5 = 27/125 or 21.6%

P(two tails followed by one head) =

3/5 * 3/5 * 2/5 = 18/125 or 14.4%.

6 0
3 years ago
A manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective
andriy [413]

Answer:

(a) P(X \leq 20) = 0.9319

(b) Expected number of defective light bulbs = 15

(c) Standard deviation of defective light bulbs = 3.67

Step-by-step explanation:

We are given that a manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective independently. A box of 150 bulbs is selected at random.

Firstly, the above situation can be represented through binomial distribution, i.e.;

P(X=r) = \binom{n}{r} p^{r} (1-p)^{2} ;x=0,1,2,3,....

where, n = number of samples taken = 150

            r = number of success

           p = probability of success which in our question is % of bulbs that

                  are defective, i.e. 10%

<em>Now, we can't calculate the required probability using binomial distribution because here n is very large(n > 30), so we will convert this distribution into normal distribution using continuity correction.</em>

So, Let X = No. of defective bulbs in a box

<u>Mean of X</u>, \mu = n \times p = 150 \times 0.10 = 15

<u>Standard deviation of X</u>, \sigma = \sqrt{np(1-p)} = \sqrt{150 \times 0.10 \times (1-0.10)} = 3.7

So, X ~ N(\mu = 15, \sigma^{2} = 3.7^{2})

Now, the z score probability distribution is given by;

                Z = \frac{X-\mu}{\sigma} ~ N(0,1)

(a) Probability that this box will contain at most 20 defective light bulbs is given by = P(X \leq 20) = P(X < 20.5)  ---- using continuity correction

    P(X < 20.5) = P( \frac{X-\mu}{\sigma} < \frac{20.5-15}{3.7} ) = P(Z < 1.49) = 0.9319

(b) Expected number of defective light bulbs found in such boxes, on average is given by = E(X) = n \times p = 150 \times 0.10 = 15.

Standard deviation of defective light bulbs is given by = S.D. = \sqrt{np(1-p)} = \sqrt{150 \times 0.10 \times (1-0.10)} = 3.67

8 0
3 years ago
Any advice or tips on picking out a good fishing rod?
Snezhnost [94]

Answer:

Learn about the Speed of the Rod

Learn about the Power of the Rod

Step-by-step explanatio

8 0
2 years ago
Find x and y. Give reasons to justify your solutions.
Dimas [21]

Answer:

y=14° x=15.6°

Step-by-step explanation:

In the picture.

I hope that it's a clear solution.

6 0
3 years ago
The perimeter of a triangle is 56. The side lengths are x + 4, 3x + 7, and x + 9. What is the value of x?
Sidana [21]
<h3><u>Answer:</u></h3>
  • x = 7.2
<h3><u>Step-by-step explanation:</u></h3>
  • Perimeter: Side 1 + Side 2 + Side 3
  • => x + 4 + 3x + 7 + x + 9 = 56
  • => 5x + 20 = 56
  • => 5x = 56 - 20
  • => 5x = 36
  • => x = 7.2
<h3><u>Conclusion:</u></h3>

Therefore, the value of x is 7.2.

Hoped this helped.

BrainiacUser1357

5 0
2 years ago
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