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4 years ago

What decimal represents 6×1,000+2×10+3×1/10+5×1/1,000

Mathematics

1 answer:

Contact [7]4 years ago

4 0

6 × 1,000 = 6,000

2 × 10 = 20

3 × 1/10 = 3/10 = 0.3

5 × 1/1,000 = 5/1,000 = 0.005

6 × 1,000 + 2 × 10 + 3 × 1/10 + 5 × 1/1,000 = 6,020.305

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Un paese contava 12000 abitanti all'inizio del 2007 durante l'anno i nati sono 1,7 % del totale degli abitanti e morti sono 2% c

grandymaker [24]

Step-by-step explanation:

12000 abitanti all'inizio del 2007

nati: 1.7% × 12000 = 204

morti: 2% × 12000 = 240

popolazione all'inizio del 2008: 12000 + 204 - 240 = 11964

6 0

2 years ago

A bag contains 4 blue marbles and 2 yellow marbles. Two marbles are randomly chosen (the first marble is NOT replaced before dra

VMariaS [17]

Answer:

0.4 = 40% probability that both marbles are blue.

0.0667 = 6.67% probability that both marbles are yellow.

53.33% probability of one blue and then one yellow

If you are told that both selected marbles are the same color, 0.8571 = 85.71% probability that both are blue

Step-by-step explanation:

To solve this question, we need to understand conditional probability(for the final question) and the hypergeometric distribution(for the first three, because the balls are chosen without being replaced).

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

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.

What is the probability that both marbles are blue?

4 + 2 = 6 total marbles, which means that $N = 6$

4 blue, which means that $k = 4$

Sample of 2, which means that $n = 2$

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,6,2,4) = \frac{C_{4,2}*C_{2,0}}{C_{6,2}} = 0.4$

0.4 = 40% probability that both marbles are blue

What is the probability that both marbles are yellow?

4 + 2 = 6 total marbles, which means that $N = 6$

2 yellow, which means that $k = 2$

Sample of 2, which means that $n = 2$

This is P(X = 2). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,6,2,2) = \frac{C_{2,2}*C_{4,0}}{C_{6,2}} = 0.0667$

0.0667 = 6.67% probability that both marbles are yellow.

What is the probability of one blue and then one yellow?

Total is 100%.

Can be:

Both blue(40%)

Both yellow(6.67%)

One blue and one yellow(x%). So

40 + 6.67 + x = 100

x = 100 - 46.67

x = 53.33

53.33% probability of one blue and then one yellow.

If you are told that both selected marbles are the same color, what is the probability that both are blue?

Conditional probability.

Event A: Both same color

Event B: Both blue

Probability of both being same color:

Both blue(40%)

Both yellow(6.67%)

This means that $P(A) = 0.4 + 0.0667 = 0.4667$

Probability of both being the same color and blue:

40% probability that both are blue, which means that $P(A \cap B) = 0.4$

Desired probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.4667} = 0.8571$

If you are told that both selected marbles are the same color, 0.8571 = 85.71% probability that both are blue

8 0

3 years ago

Can anyone one help me with this question

n200080 [17]

<h2>Answer:</h2><h2>Option A is the answer </h2><h2>let a be no of adult and b be the no of children</h2><h2>total money made by park =$55157</h2><h2 /><h2>Given equation </h2><h2>$19 per adult =19a</h2><h2>$9.5 per children=9.5c</h2><h2>total people =3806</h2><h2>19a+9.5c=3806</h2><h2>a+c=55157</h2><h2 /><h2 /><h2>FOLLOW MEH✌✌✌✌✌✌</h2>

5 0

3 years ago

Please helpppppppppppppppppppppppppp

adell [148]

Answer:

the answer is D or A

Step-by-step explanation:

step-by-step explanation

I hope this helps

5 0

3 years ago

Consider the graph f(x)=3 to the power of x. describe how to graph the transformation f(x-3)+2

Assoli18 [71]

Answer:

shift the graph horizontally to the right for 3 units and then shift vertically up 2 units

Step-by-step explanation:

f(x) = x³ vs f(x-3)+2

f(x-3) will shift the graph horizontally to the right for 3 units

+2: will shift vertically up 2 units

3 0

2 years ago