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Afina-wow [57]
3 years ago
5

3. Numerical coefficient of x² in= x++5xy is a) 5 b) - 5/2 c) 5/2 d) 1/2 ​

Mathematics
2 answers:
arlik [135]3 years ago
6 0

Step-by-step explanation:

If your question is x² + 5xy

Then,

Numerical coefficient = Number in the given expression

Numerical coefficient = 5

Option A

nlexa [21]3 years ago
5 0

Step-by-step explanation:

Solution,

In x+5xy

The numerical coefficient is 5.

Hence, option a is correct.

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Which is the definition of a ray?
valkas [14]

Answer:

Ray. Definition: A portion of a line which starts at a point and goes off in a particular direction to infinity. Try this Adjust the ray below by dragging an orange dot and see how the ray AB behaves. Point A is the ray's endpoint. -Google

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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
Parvinis older than Jan, who is
MatroZZZ [7]

Using the arrangements formula, it is found that there are 24 ways for them to stand in line so that the youngest person is always first, and the oldest person is always last.

<h3>What is the arrangements formula?</h3>

The number of possible arrangements of n elements is given by the factorial of n, that is:

A_n = n!

In this problem, we have that there are 6 people. The youngest person(Leslie) has to be first, while the oldest(Parvinis) has to be last, while the remaining 4 can be arranged, hence the number of ways for them to stand in line is given by:

A_4 = 4! = 24

More can be learned about the arrangements formula at brainly.com/question/24648661

#SPJ1

8 0
2 years ago
Plz help!!!!!!!!!!!!!!!
julsineya [31]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~

Generally what I like to do, to solve questions like this is to substitute the given answers into the equation to solve this faster...

Equation: x^2 + 10x + 12 = 36

A.) (-12)^2 + 10(-12) + 12 = 36

144 - 120 + 12 = 36

24 + 12 = 36

36 = 36

(2)^2 + 10(2) + 12 = 36

4 + 20 + 12 = 36

24 + 12 = 36

36 = 36


Since we found the answer with the first try, we already know the correct answer is A.

So...

The Correct answer is: A.) x=-12 or x=2

4 0
3 years ago
Read 2 more answers
Cody is designing a pattern for a wood floor the length of the pieces of wood are 1 1/2 inches 1 13/16 inches and 2 1/8 inches w
erastovalidia [21]

Well, you only listed three pieces so far.  But I can already see a
pattern emerging from those three.

Of course, the next piece might return to 1-1/2 inches.  I mean,
the pattern can't just keep on going and increasing forever or
Cody would eventually wind up with pieces that are a mile long. 
It must eventually return to 1-1/2 inches and start over from there.

From the first piece to the second one, and from the second one
to the third one, the increase is  5/16 inch both times.  So if the
pattern is more than three pieces long before it starts over from
1-1/2, then the next piece is

             (2-1/8 + 5/16) = (2-2/16 + 5/16)  =  2-7/16 inches .
8 0
3 years ago
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