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Marianna [84]
2 years ago
8

Dalia buys 20 collectible gems per month. Grace sells 10 gems from her collection of 120 each month. When will Dalia have more g

ems than Grace? Show your work.
Mathematics
1 answer:
4vir4ik [10]2 years ago
7 0

Answer: after 5 months

Step-by-step explanation:

Let x be the number of months it takes for Dalia to have more gems than Grace.

We can set up an inequality; the left side representing Dalia and the right side representing Grace

20x > 120-10x

We can add 10x to both sides:

30x > 120

We can divide both sides by 30:

x > 4

Therefore, after 5 months Dalia will have more gems than Grace.

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Suppose that 37% of college students own cats. If you were to ask random college students if they own a cat what would the proba
Likurg_2 [28]

Using the binomial distribution, the probabilities are given as follows:

a) 0.37 = 37%.

b) 0.5065 = 50.65%.

c) 0.3260 = 32.60%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the fixed parameter is:

p = 0.37.

Item a:

The probability is P(X = 1) when n = 1, hence:

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

P(X = 1) = C_{1,1}.(0.37)^{1}.(0.63)^{0} = 0.37

Item b:

The probability is P(X = 3) when n = 3, hence:

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

P(X = 3) = C_{3,3}.(0.37)^{3}.(0.63)^{0} = 0.5065

Item c:

The probability is P(X = 2) when n = 4, hence:

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

P(X = 2) = C_{4,2}.(0.37)^{2}.(0.63)^{2} = 0.3260

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
2 years ago
2. which os the most accurate description of the polygon below
uysha [10]

Answer:

my answers are

Step-by-step explanation: A,C so correct me if i'm wrong

7 0
2 years ago
Lou had r rocks in his collection. He separated his rocks into 3 equal piles. He now has 12 rocks in each pile. Which equation r
laila [671]

Answer:

r \div 3 = 12

Step-by-step explanation:

Given:

Lou had r rocks in his collection.

He separated his rocks into 3 equal piles.

He now has 12 rocks in each pile.

<u>Question asked:</u>

Which equation represents this situation?

<u>Solution:</u>

Total number of rocks = r

He separated in number of piles = 3

Each pile contains = 12 rocks

The equation will be :-

r \div 3 = 12

Therefore, equation which represents this situation is r \div 3 = 12

5 0
3 years ago
What is less 3.24 or 3.0525
andreev551 [17]
3.0525 is less than 3.24
5 0
3 years ago
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What is 700 written in scientific notation
qaws [65]

Answer:

7x10^2

Step-by-step explanation:

So scientific notation involves two numbers: one is ten and the other ranges from 0 to 10. In this case your value would be 7 and to notate it so it is equal to 700 you would put 10 to the second power... hope this helps :)))

7 0
2 years ago
Read 2 more answers
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