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2 years ago

Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15…

Mathematics

2 answers:

Colt1911 [192]2 years ago

5 0

Jam is djndkenzie sjwnxjezi 29 djdjdj 38383

Pani-rosa [81]2 years ago

4 0

45,42,126 it’s times 3 -3 so every time yu times yu minus that number by 3

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You are to take a multiple-choice exam consisting of 64 questions with 5 possible responses to each question. Suppose that you h

damaskus [11]

Answer:

a) Expected score on the exam is 12.8.

b) Variance 10.24, Standard deviation 3.2

Step-by-step explanation:

For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The variance of the binomial distribution is:

$V(X) = np(1-p)$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

64 questions.

So $n = 64$

5 possible answers, one correctly, chosen at random:

So $p = \frac{1}{5} = 0.2$

(a) What is your expected score on the exam?

$E(X) = np = 64*0.2 = 12.8$

(b) Compute the variance and standard deviation of x. Variance =Standard deviation

$V(X) = np(1-p) = 64*0.2*0.8 = 10.24$

Variance 10.24

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{64*0.2*0.8} = 3.2$

Standard deviation 3.2

5 0

3 years ago

The following cone has a height of 12 cm and a slant height of 13 cm. A right angle is formed between the height and radius of t

Pachacha [2.7K]

Length of the radius of the cone is equals to 5 cm.

<h3>What is right circular cone?</h3>

" A right circular cone is the 3 dimensional solid shape, which has an axis that is perpendicular to its circular base."

Formula used

Pythagoras theorem

(Hypotenuse)² = (adjacent side)² + (opposite side)²

According to the question,

Slant height 'l' of the cone = 13cm

height 'h' of the cone = 12cm

Let 'r' be the radius of the base of the cone.

As per the diagram,

InΔABC,

Apply Pythagoras theorem, we get

(l)² = (h)² +(r)²

Substitute the values of 'l' and 'h' in the formula we get,

(13)² =(12)² + (r)²

⇒ (r)² = 169 - 144

⇒ r =√25

⇒ r = 5cm

Hence, length of the radius of the cone is equals to 5 cm.

Learn more about right circular cone here

brainly.com/question/12478210

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2 years ago

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What is the solution of the equation 4[x + 2(3x – 7)] = 22x – 65?

Lelu [443]

X = -3/2
I hope my work .... helped you out a little.

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3 years ago

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Item 16 An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people b

nignag [31]

Answer:

3:16 P.M.
5:22 P.M.

Step-by-step explanation:

The two dump intervals have a greatest common factor (GCF) of 3, so their least common multiple (LCM) is ...

(18)(21)/3 = 126 . . . . minutes

This period is 2 hours 6 minutes. The last time both dumped was 1:10, so the next time both will dump is ...

1:10 +2:06 = 3:16 . . . P.M.

and the next time after that is ...

3:16 +2:06 = 5:22 . . . P.M.

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3 years ago

SP =___ JKLM ≅ PQRS?

satela [25.4K]

Answer:

Step-by-step explanation:

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3 years ago

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