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Fed [463]
2 years ago
12

A bad contains 15 balls of which X is red. Write an expression for the probability that a ball drawn from the bad is red. When 5

more red balls are added to the bag, the probability becomes 3/4. Find the value of X.

Mathematics
1 answer:
antoniya [11.8K]2 years ago
5 0

Answer:

10

Step-by-step explanation:

The current probability of picking a red ball is \frac{x}{15}. When 5 more balls are added, the probability is 3/4. We can write a ratio for this problem:

\frac{x+5}{15+5} = \frac{3}{4}

When using cross multiplication to solve this, you get 3 * 20 = 4(x+5).

60 = 4x + 20

40 = 4x

x = 10 red balls

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Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon? A hexagon is shown. A triangle with a 60
damaskus [11]

Answer:

<u>The area of the hexagon is A. 96√3 cm²</u>

Step-by-step explanation:

Let's recall the formula of the area of an hexagon, this way:

Area = (3√3/2) * s²

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7 0
3 years ago
Which table represents a linear function?
allsm [11]

Answer:

Graph One.

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4 0
4 years ago
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Ten people at a party decide to compare ages. Five people are 30 years old, three are 32, one is 31, and one is 65.
horrorfan [7]
Given:
Ten People
5 people = 30 years old
3 people = 32 years old
1 person = 31 years old
1 person = 65 years old

We need to arrange the ages in order from least to greatest.

30, 30, 30, 30, 30, 31, 32, 32, 32, 65 
65 is the outlier. 

A.) mean age without the outlier. count of the numbers : 9
5 x 30 =    150
1 x 31 =      31
3 x 32 =<u>      96</u>
total age  277
÷ # of pax<u>    9</u>
mean         30.77 round to the nearest tenth 30.80

b.) Standard deviation:
We need to calculate variance first:
5 pax : 30 - 30.80 = - 0.80 ⇒ -0.80² = 0.64 * 5pax = 3.20
1 pax : 31 - 30.80 =   0.20 ⇒  0.20²  = 0.04 * 1pax = 0.04
3 pax : 32 - 30.80 =   1.20 ⇒  1.20² = 1.44 * 3 pax = 4.32

Variance : (3.20 + 0.04 + 4.32) / 9 pax = 7.56 / 9 = 0.84

Standard deviation is simply the square root of the variance.

Standard deviation = √0.84 = 0.916 

0.916 round to nearest hundredths is 0.92
0.916 round to nearest tenths is 0.90
8 0
3 years ago
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