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nata0808 [166]
3 years ago
10

Slide 4.1 m long makes an angle of 35° with the ground. To the nearest 10th of a meter how far above the ground is the top of th

e slide?
Mathematics
1 answer:
DENIUS [597]3 years ago
5 0

Answer:

(sin 35)*4.1 m = 2.352 m = 2.4 m

Step-by-step explanation:


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Find the probability of each event.
jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The coin is fair, hence p = 0.5.
  • The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

P(X \geq 9) = P(X = 9) + P(X = 10)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098

P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001

Hence:

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

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5 0
2 years ago
The base of a pyramid has n sides. Write and expression for the number of faces of the pyramid
11111nata11111 [884]

Remark

The number of faces reaching out in the 3rd dimension of the pyramid = the number of edges on the base.

Givens

Number of edges (or sides on the base)= e

Number of faces = f

Formula

F = e + 1 Don't forget that the base is also a face.

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3 years ago
Adrian spends $238 on a DVD. If he buys 18 DVD,s approximately how much money will he spend in all?​
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Answer:

Adrian would spend exactly $4,284.

Step-by-step explanation:

Multiply the cost by the number of products purchased:

$238 x 18 = $4,284

Have a good day :)

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3 years ago
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