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omeli [17]
3 years ago
15

An oak dresser has a volume of 0.1cubic meters and a mass of 90kilograms. Calculate its density.

Mathematics
2 answers:
arlik [135]3 years ago
8 0

Answer:

900kg/m^{3}

Step-by-step explanation:

Formula: d = m/v

Given: m = 90, v = 0.1

Sub: d = 90/0.1

Solve: d = 900

Tpy6a [65]3 years ago
7 0

Answer:

The answer is 900

Step-by-step explanation:

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Multiply 4/5 by the reciprocal of −2/10.
Svetach [21]

Answer:

4/5*reciprocal of -2/10

The reciprocal of -2/10 is 10/-2

4/5*10/2

Cancelling the numbers

-4 is the answer

Step-by-step explanation:

I hope it will help you :)

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3 years ago
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What is the area of the rectangle?
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Take a look at the picture i sent you

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3 years ago
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What is the first step in order to solve the equation p-6.1=10 is it add 6.1 to the p -6.1 and add 10 to the 10 or is it another
MaRussiya [10]

Answer:

16.1

Step-by-step explanation:

p-6.1=10

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5 0
3 years ago
A fair coin is to be tossed 20 times. Find the probability that 10 of the tosses will fall heads and 10 will fall tails, (a) usi
lbvjy [14]

Using the distributions, it is found that there is a:

a) 0.1762 = 17.62% probability that 10 of the tosses will fall heads and 10 will fall tails.

b) 0% probability that 10 of the tosses will fall heads and 10 will fall tails.

c) 0.1742 = 17.42% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item a:

Binomial probability distribution

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:

  • 20 tosses, hence n = 20.
  • Fair coin, hence p = 0.5.

The probability is <u>P(X = 10)</u>, thus:

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

P(X = 10) = C_{20,10}.(0.5)^{10}.(0.5)^{10} = 0.1762

0.1762 = 17.62% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item b:

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • The binomial distribution is the probability of <u>x successes on n trials, with p probability</u> of a success on each trial. It can be approximated to the normal distribution with \mu = np, \sigma = \sqrt{np(1-p)}.

The probability of an exact value is 0, hence 0% probability that 10 of the tosses will fall heads and 10 will fall tails.

Item c:

For the approximation, the mean and the standard deviation are:

\mu = np = 20(0.5) = 10

\sigma = \sqrt{np(1 - p)} = \sqrt{20(0.5)(0.5)} = \sqrt{5}

Using continuity correction, this probability is P(10 - 0.5 \leq X \leq 10 + 0.5) = P(9.5 \leq X \leq 10.5), which is the <u>p-value of Z when X = 10.5 subtracted by the p-value of Z when X = 9.5.</u>

X = 10.5:

Z = \frac{X - \mu}{\sigma}

Z = \frac{10.5 - 10}{\sqrt{5}}

Z = 0.22

Z = 0.22 has a p-value of 0.5871.

X = 9.5:

Z = \frac{X - \mu}{\sigma}

Z = \frac{9.5 - 10}{\sqrt{5}}

Z = -0.22

Z = -0.22 has a p-value of 0.4129.

0.5871 - 0.4129 = 0.1742.

0.1742 = 17.42% probability that 10 of the tosses will fall heads and 10 will fall tails.

A similar problem is given at brainly.com/question/24261244

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3 years ago
Factor 13y 2 - 5yx - 8x 2
sveticcg [70]
Factor the expression and your answer would be 
- (5xy + 16x - 26y)
hope this helps
3 0
3 years ago
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