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Sergeu [11.5K]
4 years ago
10

One urn contains 12 blue balls and 7 white balls, and a second urn contains 8 blue balls and 19 white balls. an urn is selected

at random, and a ball is chosen from the urn.
a. what is the probability that the chosen ball is blue?
b. if the chosen ball is blue,
Mathematics
1 answer:
kozerog [31]4 years ago
7 0
The probabilaty that a blue ball was is maybe 50% because there are 19 and 8 white balls so theres more white but still some blue.
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Of the students attending a school party, 60% of the students are girls, and 40% of the students like to dance. After these stud
elena-s [515]

Answer:

252 students at the party like to dance

Step-by-step explanation:

Given:

60% of the students are girls

40% of the students like to dance

20 more boy students

Percentage of the girls in the party = 58%

To Find:

How many students now at the party like to dance=?

Solution:

Let the number of girls be g.

Let the number of total people originally be t.

We know that

\frac{g}{t}=\frac{60}{100}

\frac{g}{t}=\frac{3}{5}----------------------------------(1)

We also know that

\frac{g}{t+20}=\frac{58}{100}

\frac{g}{t+20}=\frac{29}{50}-----------------------------(2)

We now have a system of equation from (1) and (2)

3t=5g

g = \frac{3t}{5} ------------------------(3)

50g=29t+580------------------------(4)

Substituting 3 in 4, we get

50(\frac{3t}{5})=29t+580

(\frac{150t}{5})=29t+580

30t =29t+580

30t -29t = 580

t =589

So originally there was 580 students

In this 580 students 40% liked to dance

Then the number of students liked to dance =

=> 40\% \text{of} 580

=>\frac{40}{100} \times 580

=>0.4 \times 580

=> 232

We also know that with these people, 20 boys joined, all of whom like to dance.

Now the number of students like to dance  = 232+20 = 252 students

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3 years ago
Help please I need this in less than 2 mins
Masja [62]

Answer:

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Step-by-step explanation:

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3 years ago
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Anastasy [175]

Answer:

$45

Step-by-step explanation:

Here we need to calculate the income of this year.

We know that a year has 52 weeks. And, our payed weeks are 51, they are, the 50 weeks we work plus the one week of paid-vacation. The remaining week does not give us income, as is unpaid. So our total year income is:

51 * $615 = $31,365

So, our surplus will be our income minus our expenses:

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