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dsp73
3 years ago
8

Express 0.52 as a fraction

Mathematics
2 answers:
ioda3 years ago
7 0
52/100
26/50
13/25
These will all do.
Xelga [282]3 years ago
4 0
To express it as a fraction it will be 13/25

You might be interested in
Critical Thinking: Empirical/Quantitative Skills
aliya0001 [1]

Answer:

1. 0.0910 = 9.10% probability that exactly 180 passengers show up for the flight.

2. 0.4522 = 45.22% probability that at most 180 passengers show up for the flight.

3. 0.5478 = 54.78% probability that more than 180 passengers show up for the flight.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

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

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

Assume that there is a 0.905 probability that a passenger with a ticket will show up for the  flight.

This means that p = 0.905

Also assume that the airline sells 200 tickets

This means that n = 200

Question 1:

Exactly, so we can use the P(X = x) formula, to find P(X = 180).

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

P(X = 180) = C_{200,180}.(0.905)^{180}.(0.095)^{20} = 0.0910

0.0910 = 9.10% probability that exactly 180 passengers show up for the flight.

2. When 200 tickets are sold, calculate the probability that at most 180 passengers show up for the flight.

Now we have to use the approximation.

Mean and standard deviation:

\mu = E(X) = np = 200*0.905 = 181

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{200*0.905*0.095} = 4.15

Using continuity correction, this is P(X \leq 180 + 0.5) = P(X \leq 180.5), which is the p-value of Z when X = 180.5. Thus

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

Z = \frac{180.5 - 181}{4.15}

Z = -0.12

Z = -0.12 has a p-value of 0.4522.

0.4522 = 45.22% probability that at most 180 passengers show up for the flight.

3. When 200 tickets are sold, calculate the probability that more than 180 passengers show up for the flight.

Complementary event with at most 180 passengers showing up, which means that the sum of these probabilities is 1. So

p + 0.4522 = 1

p = 1 - 0.4522 = 0.5478

0.5478 = 54.78% probability that more than 180 passengers show up for the flight.

4 0
3 years ago
Need help immediately <br> What is the equation of the line shown?
nirvana33 [79]
Y=2x+4 its in the y=mx+b
7 0
3 years ago
Question 3(Multiple Choice Worth 2 points) (13.02 LC) What unit of measurement would you use to measure the length of your foot?
labwork [276]

Answer: centimeter

Step-by-step explanation:

5 0
2 years ago
The surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²? What is the scale factor of the smaller
max2010maxim [7]

Answer:

scale factor of the smaller  prism to the larger prism is B. 21/23

Step-by-step explanation:

Given

surface areas of two similar hexagonal prisms are 882cm² and 1,058 cm²?

scale factor is ratio of sides of two similar objects

thus scale factor for given prism will be = side of smaller prism / side of larger prism

in general rule

If shape of solid has scale factor of k

scale factor of area = k²

scale factor of volume = k³

_____________________________

Given in the problem area of two prism is given

we know area = side^2

scale factor of area = k²

k^2 = area of smaller prism / area of larger prism

k^2 = 882 / 1058 = 441/529\\k = \sqrt{ 441/529} \\k = 21/23

Thus, correct option is B 21/23.

7 0
3 years ago
3/4 + 1/2=
Bas_tet [7]

Answer:

Okay so,

Step-by-step explanation:

the first one is

1.25 or 1 \frac{1}{4}

second one is

0.5 or \frac{1}{2}

the third one is

i'm not sure what the question is

the fourth one is

i'm not sure what the question is. Are you dividing?

the fifth one is

153.18

the sixth one is

1010.25

the seventh one is

4.066362

the eight one is

i'm not sure what the question is

Can you make me brainliest please

6 0
3 years ago
Read 2 more answers
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