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V125BC [204]
3 years ago
11

Lana has a bowl of marbles the bowl contains 5 green marbles,3 red marbles and 2 blue marbles from the bowl one at a time. What

is the probability that lana will select a green marble first, replace the marble, then select a red marble
Mathematics
1 answer:
ivanzaharov [21]3 years ago
5 0

Answer:

3/20

Step-by-step explanation:

5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles

P( green) = green/total = 5/10 = 1/2

Replace

5 green marbles,3 red marbles and 2 blue marbles from the bowl = 10 marbles

P( red) = red/total = 3/10

P(green,replace, red) = 1/2 * 3/10 = 3/20

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A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessi
Elza [17]

Question:

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.

What is the number of seats occupied by concessionary ticket holders?.

Answer:

60 seats

Step-by-step explanation:

Given

Number of seats = 270

Occupied Seats = 5/9

Concessionary ticket holders = 40% of occupied Seats

Required

The number of seats occupied by concessionary ticket holders

First the number of occupied seat has to be calculated.

Occupied\ Seats = \frac{5}{9} * 270

Occupied\ Seats = \frac{1350}{9}

Occupied\ Seats = 150

Next is to determine the number of seats occupied by concessionary ticket holders.

Number = 40\%\ of\ occupied\ seats

Number = 40\%\ of\ 150

Convert percentage to decimal

Number = 0.4 * 150

Number = 60

<em>Hence, 60 seats were occupied by concessionary ticket holders.</em>

5 0
3 years ago
PLS HELP!!<br><br> Given the diagram below, find the value of x.<br><br> The value of x is
Paha777 [63]

Answer:

44°

Step-by-step explanation:

180-30-14=136

180-136

44

7 0
3 years ago
Find a common multiple between 30 and 42 that is bigger than them.
Wittaler [7]

Answer:

210

Step-by-step explanation:

GCF(30,42) = 6

LCM(30,42) = ( 30 × 42) / 6

LCM(30,42) = 1260 / 6

LCM(30,42) = 210

6 0
3 years ago
Read 2 more answers
A bag contains all the tiles wah the letters M, A, T, H, E, M, A, T, I, C.
Julli [10]
I believe 2/10 or 20/ 100
3 0
3 years ago
What is the strongest classification of the figure formed by the following points?
tatiyna

Answer:

A. Parallelogram

Step-by-step explanation:

The given points are;

(-10, -4), (-7, -8), (-5, -4), (-2, -8)

Let 'A' represent the point (-10, -4), let 'B' represent the point (-7, -8), let 'C' represent the point (-5, -4), and let 'D' represent the point (-2, -8), we have;

The (horizontal) distance between points A and C = -5 - (-10) = 5

The (horizontal) distance between points B and D = -2 - (-7) = 5

Therefore;

The length of \overline {AC} = The length of \overline {BD}

The length of \overline {AB} = √((-10 - (-7))² + (-4 - (-8))²)) = 5

The length of \overline {CD} = √((-5 - (-2))² + (-4 - (-8))²)) = 5

∴ The length of \overline {AB} = The length of \overline {CD}

\overline {AC} is parallel to the horizontal axis

\overline {BD} is parallel to the horizontal axis

∴ \overline {AC} ║ \overline {BD}

Given that \overline {AB} = \overline {CD}, then \overline {AB} ║ \overline {CD}

Therefore, the quadrilateral ABCD is a parallelogram

(The angle ∠ABD = 180 - arctan (4/3) ≈ 126.9 > 90, therefore, the parallelogram ABCD is not a rectangle.)

6 0
3 years ago
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