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nydimaria [60]
3 years ago
14

The probability of drawing a green marble from a marble bag is 40%. What are the odds in favor of drawing a green marble?

Mathematics
1 answer:
ioda3 years ago
8 0
4 out of 10 odds cause if you break 40 percent and 100 precent down on a out of 10 scale its 4 out of 10
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After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th
lubasha [3.4K]

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

h=-16t^{2}+64t+3

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

-16t^{2}+64t+3=0

The formula to solve a quadratic equation of the form

at^{2} +bt+c=0 is equal to

t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^{2}+64t+3=0  

so

a=-16\\b=64\\c=3

substitute in the formula  

t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}

t=\frac{-64(+/-)\sqrt{4,288}} {-32}

t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec  ---> the time cannot be a negative number

t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec

therefore

The ball will take 4.05 seconds to hit the ground.

4 0
2 years ago
A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk with the same pace in: 3 hours
suter [353]
18 miles hope this help please mark me brainliest if i did!
3 0
3 years ago
An airplane is flying in still air with an airspeed of 475 miles per hour. The plane is climbing at an angle of 16°. Find the ra
Serhud [2]

Answer:

130.9 miles per hour.

Step-by-step explanation:

sine 16 = x / 475 where x = rate of gaining altitude.

x = 475 sin 16

= 130.9 miles per hour.

6 0
3 years ago
School chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers,
inn [45]

Answer:

90 + 75 = 165

165 divided by 3 = 55

4 0
2 years ago
Factor the expression.
g100num [7]

Answer:

(x + 1) (3 x^2 + 1)

Step-by-step explanation:

Factor the following:

3 x^3 + 3 x^2 + x + 1

Factor terms by grouping. 3 x^3 + 3 x^2 + x + 1 = (3 x^3 + 3 x^2) + (x + 1) = 3 x^2 (x + 1) + (x + 1):

3 x^2 (x + 1) + (x + 1)

Factor x + 1 from 3 x^2 (x + 1) + (x + 1):

Answer:  (x + 1) (3 x^2 + 1)

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3 years ago
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