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lisabon 2012 [21]
3 years ago
13

In a box of 500 colored balls, 75 are black, 150 are green, 175 are red, 70 are white, and 30 are blue. what are the probabiliti

es of selecting a ball of each color.
Mathematics
1 answer:
Oksanka [162]3 years ago
4 0
If we want to select a ball of each colour we have to extract 175+150+75+70+1=471 balls

P=471/500 is the answer
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The quadratic function h(t)=-16.1t^2 + 150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15
katrin [286]
<h2>Hello!</h2>

The answer is: The first graphic representation.

<h2>Why?</h2>

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

h(t)=-16.1t^2 + 150\\0=-16.1t^2 + 150\\16.1t^2=150\\t^2=\frac{150}{16.1}=9.32\\t=+-\sqrt{9.32}=+-3.05\\t1=3.05\\t2=-305

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

a=-1\\b=0\\c=150

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

8 0
3 years ago
Read 2 more answers
Carlos read 144 pages in 3 hours. His little sister read 24 pages in 1 hour. carlos's average reading rate is what percent of hi
ehidna [41]
Hello! So Carlos' sister reads an average of 24 pages in 1 hour. He reads 144 pages in 3 hours. To find the unit rate Carlos reads, let's do some division. 144/3 is 48. Carlos reads an average of 48 pages in 1 hour. If you use mental math, 48 is double the amount of 24. 200% is just simply 2. 24 * 2 is 48. D is the only one that shows an answer that even fits for this scenario. Carlos' average reading rate is 200% of his sister's. The answer is D: 200%.
3 0
3 years ago
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QT 1.
erma4kov [3.2K]
1: 3.2
2: B. 1.6
3: C. 6.4
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I'm unable to see the table for 5, are you able to attach it?
5 0
3 years ago
Find the value of m &lt; 7 .
lesya [120]

Answer:

B

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FES is an exterior angle of the triangle , then

57° + ∠ F = 142° ( subtract 57° from both sides )

∠ F = 85°

7 0
2 years ago
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I need help with this math
prisoha [69]

Answer:

EF =11 ft

Step-by-step explanation:

if CB = 11ft then EF will also be 11 ft since both triangles are congruent to each other

6 0
2 years ago
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