1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrew-mc [135]
4 years ago
9

Simplify. Y/3 + 1/y^2/9 - 1

Mathematics
2 answers:
Rudik [331]4 years ago
8 0
Hope this is understandable.

bagirrra123 [75]4 years ago
5 0

Answer:

1/y+3

Step-by-step explanation:

You might be interested in
Someone plz help fast will give brainiest
Georgia [21]

Answer:

$5

Step-by-step explanation:

The bill was $15 extra this month so 15 divided by 3 is 5.

4 0
4 years ago
Find the probability of two persons being born on the same day?
Vinil7 [7]

Answer:

1/365

Step-by-step explanation:

The probability of being born any day of the year is 1 or more specifically: 365/365. Since Person B must be born on the same day as Person A their probability is 1/365

3 0
3 years ago
Read 2 more answers
A small regional carrier accepted 21 reservations for a particular flight with 19 seats. 10 reservations went to regular custome
Viefleur [7K]

We have 19 available seats, and 21 reservations.

Of the 21 reservations, 10 are sure, so we have 10 out of the 19 seats that are surely occupied.

Then, we have 9 seats for 11 reservations, each one with 44% chance of being occupied.

We have to calculate the probability that the plane is overbooked. This means that more than 9 of the reservations arrive.

This can be modelled as a binomial distirbution with n = 11 and p = 0.44, representing the 44% chance.

Then, we have to calculate P(x > 9).

This can be calculated as:

P(x>9)=P(x=10)+P(x=11)

and each of the terms can be calculated as:

\begin{gathered} P(x=10)=\dbinom{11}{10}\cdot0.44^{10}\cdot0.56^1=11\cdot0.0003\cdot0.56=0.0017 \\ P(x=11)=\dbinom{11}{11}\cdot0.44^{11}\cdot0.56^0=1\cdot0.0001\cdot1=0.0001 \end{gathered}

Then:

P(x>9)=P(x=10)+P(x=11)=0.0017+0.0001=0.0018

We have a probability of 0.18% of being overbooked (P = 0.0018).

If we want to calculate the probability of having empty seats, we need to calculate P(x<9), meaning that less than 9 of the reservations arrive.

We can express this as:

P(x

We have to calculate P(x=9) as we already have calculated the other two terms:

P(x=9)=\dbinom{11}{9}\cdot0.44^9\cdot0.56^2=55\cdot0.0006\cdot0.3136=0.0107

Finally, we can calculate:

\begin{gathered} P(x

There is a probability of 0.9875 that there is one or more empty seats.

Answer:

There is a probability of 0.0018 of being overbooked.

There is a probability of 0.9875 of having at least one empty seat.

7 0
1 year ago
-5/6 - 17/18 - (-2/9)
Sunny_sXe [5.5K]

First, let's fine the decimal of each fraction.


-5 Divided By 6 = -0.83333333333

17 Divided By 18 = 0.94444444444

-2 Divided By 9 = -0.22222222222



-5/6 - 17/18 - (-2/9) = -1.55555555556


8 0
3 years ago
A student takes a multiple-choice test that has 11 questions. Each question has five choices. The student guesses randomly at ea
marissa [1.9K]

Answer:

a) P(6) = 0.0097

b) P(More than 3) = 0.1611

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is guessed correctly, or it is not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.

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.

A student takes a multiple-choice test that has 11 questions.

This means that n = 11

Each question has five choices.

This means that p = \frac{1}{5} = 0.2

(a) Find P (6)

This is P(X = 6).

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

P(X = 6) = C_{11,6}.(0.2)^{6}.(0.8)^{5} = 0.0097

P(6) = 0.0097

(b) Find P (More than 3).

Either P is 3 or less, or it is more than three. The sum of the probabilities of these outcomes is 1. So

P(X \leq 3) + P(X > 3) = 1

We want P(X > 3). So

P(X > 3) = 1 - P(X \leq 3)

In which

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

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

P(X = 0) = C_{11,0}.(0.2)^{0}.(0.8)^{11} = 0.0859

P(X = 1) = C_{11,1}.(0.2)^{1}.(0.8)^{10} = 0.2362

P(X = 2) = C_{11,2}.(0.2)^{2}.(0.8)^{9} = 0.2953

P(X = 3) = C_{11,3}.(0.2)^{3}.(0.8)^{8} = 0.2215

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0859 + 0.2362 + 0.2953 + 0.2215 = 0.8389

Then

P(X > 3) = 1 - P(X \leq 3) = 1 - 0.8389 = 0.1611

P(More than 3) = 0.1611

8 0
4 years ago
Other questions:
  • A restaurant offers diet soda and regular soda.In one day they sold 64 sodas.If 28 of the sodas they sold were diet, what is the
    13·1 answer
  • Explain how you can tell 2pi &gt; Srt of 35 without finding the decimal number estimate of either number.
    14·1 answer
  • Help me ASAP!!<br> This is timed
    10·1 answer
  • Which of the binomials below is a factor of this trinomial?
    6·2 answers
  • If 5 is decreased by 3 times a number, the result is -4​
    11·1 answer
  • Which of the following sets represents the range of the function shown?
    8·1 answer
  • The bakery owner will use both machines to glaze a total of doughnuts. She plans to start both machines at the same time. Based
    10·1 answer
  • 50 points! show work please.. use synthetic division to evaluate 2x^3+3x^2-x+1 when x=-3
    9·1 answer
  • PLease help due today! I will give brainliest!!
    7·1 answer
  • The minor arc measures of circle Z are shown in the figure.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!