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Masja [62]
3 years ago
12

A scientist builds a Mars rover that can travel 4.9 centimeters per second on flat ground. If the rover continues at the same ra

te, how many centimeters will it travel in 15 1/2 seconds?
Mathematics
2 answers:
larisa [96]3 years ago
8 0

Answer:

The rover would travel 75.95 centimeters in 15 1/2 seconds.

Step-by-step explanation:

Simply multiply 4.9 by 15 1/2.

Hope it helps!

gavmur [86]3 years ago
7 0

Answer:

75.95 cm

Step-by-step explanation:

We know that distance = rate  times time

d =rt

We know the rate = 4.9 cm/s

and time = 15 1/2 s = 15.5 s

Substituting these into d=rt

d = (4.9 cm/s) * 15.5 s = 75.95 cm

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Answer:

Given:

Sample size, n = 640

Since result showed that 99.2​% of them would erase all of their personal information online if they could, we have:

P' = 99.2% = 0.992

Let's take p = 50%

Our null and alternative hypothesis will be :

H0 : u = 0.5

H1 : u > 0.5

In this case we are to check for the test statistic.

\frac{P' - p}{\sqrt{p(1-p)/n}}

= \frac{0.992 - 50}{\sqrt{50(1-50)/640}}

= 24.9

Test statistic, Z = 24.893

In conclusion, the results are significantly high, which suggets there is suffcient evidence to support the claim that most adults would erase all of their personal information online.

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Which expression is equivalent to 3x+2 ?<br> A. x+x+x+1+1<br> B. x+x+1+1+1<br> C. 3x+6<br> D. 3+x+2
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Answer:

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Suppose that an experiment consists of flipping a coin 3 times and observing the resulting sequence of heads and tails. Find the
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Using the binomial distribution, it is found that there is a 0.125 = 12.5% probability of observing exactly 3 tails.

<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, considering 3 tosses of a fair coin, the parameters are n = 3 and p = 0.5.

The probability of 3 tails is P(X = 3), hence:

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

P(X = 3) = C_{3,3}.(0.5)^{3}.(0.5)^{0} = 0.125

0.125 = 12.5% probability of observing exactly 3 tails.

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

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