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
Anni [7]
2 years ago
10

When solving a word problem involving many different kinds of rational numbers, what steps do you go through to make sure you ar

rive at the correct final answer?
Mathematics
1 answer:
marshall27 [118]2 years ago
7 0

Step 1. READ THE QUESTION CAREFULLY!!!!!!

Step 2. Turn the problem into equations.

Step 3. Substitute/Eliminate variables.

Step 4. Find the first variable.

Step 5. Replace the variable1 with its correct number.

Step 6. Get your variable2.

Step 7.Do steps 3-4 until you have all the variables.

Step 8. Double check.

And you are done!

You might be interested in
Seventy-two percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of th
Anton [14]

Answer:

a) 0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.

b) 0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.

c) 0.064 = 6.4% probability that 7 of them are discovered.

Step-by-step explanation:

For itens a and b, we use conditional probability.

For item c, we use the binomial distribution along with the conditional probability.

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

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) If it has an emergency locator, what is the probability that it will not be discovered?

Event A: Has an emergency locator

Event B: Not located.

Probability of having an emergency locator:

66% of 72%(Are discovered).

20% of 100 - 72 = 28%(not discovered). So

P(A) = 0.66*0.72 + 0.2*0.28 = 0.5312

Probability of having an emergency locator and not being discovered:

20% of 28%. So

P(A cap B) = 0.2*0.28 = 0.056

Probability:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.056}{0.5312} = 0.105

0.105 = 10.5% probability that it will not be discovered if it has an emergency locator.

b) If it does not have an emergency locator, what is the probability that it will be discovered?

Probability of not having an emergency locator:

0.5312 of having. So

P(A) = 1 - 0.5312 = 0.4688

Probability of not having an emergency locator and being discovered:

34% of 72%. So

P(A \cap B) = 0.34*0.72 = 0.2448

Probability:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2448}{0.4688} = 0.522

0.522 = 52.2% probability that it will be discovered if it does not have an emergency locator.

c) If we consider 10 light aircraft that disappeared in flight with an emergency recorder, what is the probability that 7 of them are discovered?

p is the probability of being discovered with the emergency recorder:

0.5312 probability of having the emergency recorder.

Probability of having the emergency recorder and being located:

66% of 72%. So

P(A \cap B) = 0.66*0.72 = 0.4752

Probability of being discovered, given that it has the emergency recorder:

p = P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4752}{0.5312} = 0.8946

This question asks for P(X = 7) when n = 10. So

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

P(X = 7) = C_{10,7}.(0.8946)^{7}.(0.1054)^{3} = 0.064

0.064 = 6.4% probability that 7 of them are discovered.

8 0
2 years ago
The system of equations y=-1/5x-6 and y=-2x+3 is shown in the graph below. According to the graph, what is the solution to this
mrs_skeptik [129]

(5, -7) is the answer to your system of equations.

7 0
2 years ago
Read 2 more answers
Not sure need help ​
kvasek [131]

Answer:

X = 3

Step-by-step explanation:

So do 7-2 which equals 5. 5 times 6 because 6 is outside of the parentheses with no symbol, so that means to multiply. That would equal 30. You want your answer to equal 6, so you would want the number inside of the parentheses to be 1, so that 1 times 6 would be 6. 2 x 3 would be sixe, and then 7-6 would equal one. 1 times 6 would be 6. So there is your answer.

4 0
2 years ago
Read 2 more answers
Some drawbacks to renting can be: (Check all that apply) A. You build equity in a house B. Improvements made benefit the landlor
kkurt [141]

Answer:

A, B, C

Step-by-step explanation:

7 0
2 years ago
Can someone please explain to me how to solve this?
vfiekz [6]

Answer:

A

Step-by-step explanation:

√(x^5) = x^(5/2) = (x^2)√x

√9x = (√9)(√x) = (3)√x

which means: ((x^2)√x) + ((3)√x)

since both have a √x, you can factor it out. for example...if you look at A, if you apply the distributive property you can see it expands back out. hmu if you need a different. explanation

3 0
3 years ago
Other questions:
  • 5 questions
    11·1 answer
  • Which is equivalent to the following expression? (3p^2+5pq-q^2)+(p^2+3pq-2q^2)
    7·2 answers
  • Please help me on this
    11·2 answers
  • John paints 3 rooms in 7 hours. At the same pace how long would it take him to paint 10 rooms?
    10·2 answers
  • A manufacturer ships its product in boxes with
    14·2 answers
  • Please help me 2x-7/8+x=2x+7/2+5
    12·1 answer
  • 2 angles of a triangle is 65 and 57 how to find the third angle
    8·2 answers
  • Is the data symmetrical? If not, which way is the data skewed?
    9·2 answers
  • If x-y = b which statement is right b - y = x, X x Y = b2, b = x - y or b = y x X (this is a question to see if the site works,
    6·1 answer
  • Write the complex number in the form a + bí.<br> V6 (cos 315º + i sin 315º)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!