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trapecia [35]
3 years ago
6

3+×/2=10 Is ×/2=7 And does ×=14

Mathematics
1 answer:
adoni [48]3 years ago
7 0

3+\dfrac{x}{2}=10\qquad|\text{subtract 3 from both sides}\\\\\dfrac{x}{2}=7\qquad|\text{multiply both sides by 2}\\\\\boxed{x=14}

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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
2 years ago
Determine whether each of the following pairs of angles have equal measures.
Hatshy [7]

The pairs of angles that  have equal measures are:

  • LJP
  • NJR
  • MJP
  • PJR

The pairs of angles that do not  have equal measures are:

  • MJK
  • PJR
  • KJR
  • MJP
  • KJL
  • LJM

<h3>What is an angle?</h3>

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

It is given that:

Both MJK and  PJR can be seen as (Unequal angles)

The angle MJK  is ( 90 degrees), then  angle PJR will be ( 48 + 46 )= 94 degrees

Both LJP and NJR  can be seen as ( Equal angles)

The measure of angle LJP = 48 + 46 + 48 = 142 degrees

The measure of angle NJR = 48 + 48 + 46 = 142 degrees

KJR & MJP = Unequal

The angle KJR will now be [ 360 - (46+48+48+46+90) ]

= 82 degrees

The  angle MJP  will be ( 94 degrees)

Both KJL & LJM  are Unequal, then

The angle KJL  will be  42 degrees, then angle LJM  will be ( 90 - 42 )

= 48 degrees

Read more about pairs of angles here:

brainly.com/question/17643033

#SPJ1

CHECK THE COMPLETE QUESTION BELOW:

Determine whether each of the following pairs of angles have equal measures. Drag and drop each pair

of angles into the correct catagory to show which pairs have equal measures.

MO

N

46°

42°

48°

46°

R

ZMJK and LPUR

ZLJP and ZNJR

ZKJR and ZMJP

MJP and ZPJR

ZKIL and ZUM

Equal Measures

Unequal Measures

4 0
1 year ago
The speed of sound in water is 1498 m/s. a sonar signal is sent straight down from a ship at a point just below the water surfac
bulgar [2K]
The 1.8 s is the time for the signal to reach the ocean floor and return to the ship so the time to reach ocean floor = 1.8 / 2 = 0.90 seconds.
depth of ocean = speed * time

=  1498 * 0.90  =  1348.2 m  Answer
8 0
3 years ago
I will give brainliest i need help
faltersainse [42]

Answer:

A. That he is often blamed for things that are not his fualt.

Step-by-step explanation:

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3 years ago
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Is the number ���12/4 rational
zalisa [80]
Yes because 

12/4 is 3
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