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3 years ago

Please find the value of x :)

Mathematics

2 answers:

tangare [24]3 years ago

6 0

Answer:

Step-by-step explanation:

viktelen [127]3 years ago

4 0

Answer:

x = 16

Step-by-step explanation:

90 = x+8+66

x = 90-74

x = 16

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There is a boardwalk game at Point Pleasant where you are blindfolded to throw darts at a board full of balloons. Each time a da

arlik [135]

The given number of balloons, green = 10, purple = 4, red = 5, tie-dye = 2, black = 3, gives;

a. 5/138

b. 25/276

c. 5/1012

d. 35/46

<h3>How can the different probabilities be calculated mathematically?</h3>

Given parameters;

Number of balls;

Green = 10

Purple = 4

Red = 5

Tie-dye = 2

Black = 3

Mode of selection = Without replacement

Number of balloons = 10+4+5+2+3 = 24

a. Probability of popping a red balloon = 5/24

Probability of popping a second red balloon = 4/23

Therefore;

Probability of popping two reds consecutively = 5/24 × 4/23 = 5/138

b. Probability of popping a red balloon = 5/24

Probability of popping a green balloon next = 10/23

Therefore;

Probability of popping a red and then a green balloon = 5/24 × 10/23 = 25/276

c. Probability that the first balloon that pops is a red = 5/24

Next balloon is a black = 3/23

Third balloon is red = 4/22

The probability, P, is therefore;

P = 5/24 × 3/23 × 4/22 = 5/1012

d. The probability that the first balloon is a tie-dye = 2/24 = 1/12

Therefore;

Probability that the first balloon is not a tie-dye = 1 - 1/12 = 11/12

Probability that the second balloon is not a tie-dye = 21/23

Similarly;

Probability that the third balloon is not a tie-dye = 20/22 = 10/11

Which gives;

The probability, P, of popping anything but a tie-dye on three consecutive throws is therefore;

P = 11/12 × 21/23 × 10/11 = 35/46

Learn more about probability theory in mathematics?

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1 year ago

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erastovalidia [21]

600 x 40 I think the new dimetions will be

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4 years ago

What is the slope intercept form of 3x+1=7-4y

Murrr4er [49]

for a line in the form of y=mx+b, the slope is m and he y intercept is b.

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5 0

3 years ago

The center of a hyperbola is located at the origin. One focus is located at (−50, 0) and its associated directrix is represented

leva [86]

The equation of the hyperbola is : $\frac{x^{2}}{48^2} - \frac{y^{2}}{14^2} = 1$

The center of a hyperbola is located at the origin that means at (0, 0) and one of the focus is at (-50, 0)

As both center and the focus are lying on the x-axis, so the hyperbola is a horizontal hyperbola and the standard equation of horizontal hyperbola when center is at origin: $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$

The distance from center to focus is 'c' and here focus is at (-50,0)

So, c= 50

Now if the distance from center to the directrix line is 'd', then

$d= \frac{a^{2}}{c}$

Here the directrix line is given as : x= 2304/50

Thus, $\frac{a^{2}}{c} = \frac{2304}{50}$

⇒ $\frac{a^{2}}{50} = \frac{2304}{50}$

⇒ a² = 2304

⇒ a = √2304 = 48

For hyperbola, b² = c² - a²

⇒ b² = 50² - 48² (By plugging c=50 and a = 48)

⇒ b² = 2500 - 2304

⇒ b² = 196

⇒ b = √196 = 14

So, the equation of the hyperbola is : $\frac{x^{2}}{48^2} - \frac{y^{2}}{14^2} = 1$

5 0

3 years ago

Read 2 more answers

A $104.000 selling price with $24000 down at 8 1/2% for 25 years results in a monthly payment of

romanna [79]

*******************************************************
(See attached formula)
Loan Principal = 104,000 - 24,000 = 80,000
rate = 8.5 / 1,200 = 0.0070833333 
time = 25 years = 300 months

Monthly Payment = 0.0070833333 + [ 0.0070833333 / ((1.0070833333)^300 -1)) ] *principal

Monthly Payment = 0.0070833333 + [ 0.0070833333 / ( 8.3104129461 -1)] * 80,000
Monthly Payment = 0.0070833333 + [ 0.0070833333 / ( 7.3104129461)] * 80,000
Monthly Payment = (0.0070833333 + 0.00096893750767) * 80,000
Monthly Payment = 0.00805227080767 * 80,000
Monthly Payment = 644.18

Source:
http://www.1728.org/calcloan.htm

3 0

3 years ago