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Degger [83]
1 year ago
13

Find the probability.

Mathematics
1 answer:
KATRIN_1 [288]1 year ago
6 0

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 15 bottles.

  • 5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.
  • After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.
  • For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.

The probability of the three outcomes occurring is given by:

p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

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last month maria hiked a 5 mile trail several times and a 10 mile trail several times let x represent the number of times she hi
Vlada [557]

Answer:

5x + 10y = 90

Step-by-step explanation:

X is the number of times she takes the 5 mile, so the total distance would be 5x. Y is the number of times she takes the 10 mile, so the total distance would be 10y. And together they equal 90 miles, so 5x + 10y =90. Hope this helps.

7 0
3 years ago
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of each function y= 4x^2 - 2
alisha [4.7K]

Answer:y

=

4

x

2

−

2

Step-by-step explanation:

7 0
3 years ago
All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessarily the same as the weigh
BaLLatris [955]

Answer:

The largest possible weight of flour is 11.25  pounds.

Step-by-step explanation:

To start with, we will assume that the weight of 1 sack of sugar = x pounds

We will also assume that the weight of 1 sack of flour = y pounds

So, the weight of 2 sacks of sugar = 2 * (x) = 2x

Same thing goes for the weight of 3 sacks of flour  = 3 * (y) = 3y

Supposing that the weight of (2 sacks of sugar + 3 sacks of flour) ≤ 40 pounds

= 2x + 3y ≤ 40............ we'll call that equation 1.

Also, suppose that the weight of ( 1 sack of flour) ≤ 2 sacks of sugar + 5 pounds

= y ≤ 2x + 5........................ we'll call that equation 2

Therefore, we'll solve for the values of x and y in the two equations and we will get:

2x + 3y ≤ 40

y ≤  2x + 5

Now, substitute the value of y into equation 1

2x + 3y ≤ 40 ⇒ 2x + 3(2x +5) =40

⇒ 2x + 6x + 15= 40

⇒ 8x + 15 = 40

⇒ 8x = 25

⇒ x = 25/8

⇒ x = 3.12

x cannot be more than 3.12 pounds, so we solve for y

Putting the value of x into equation 2, we'll get

⇒ 2y + 5 = 2(3.12) + 5

⇒ y = 11.25 pounds.

So, n cannot be more than 11.25 pounds

8 0
3 years ago
Help! Algebra!!!
balandron [24]
Thet contradict each other, that's why both of them are incorrect.
<span>Suppose that a polynomial has four roots: s, t, u, and v. If the polynomial were evaluated at any of these values, it would have to be zero. Therefore, the polynomial can be written in this form. 

p(x)(x - s)(x - t)(x - u)(x - v), where p(x) is some non-zero polynomial 

This polynomial has a degree of at least 4. It therefore cannot be cubic. 

Now prove Kelsey correct. We have already proved that there can be no more than three roots. To prove that a cubic polynomial with three roots is possible, all we have to do is offer a single example of that. This one will do. 

(x - 1)(x - 2)(x - 3) 

This is a cubic polynomial with three roots, and four or more roots are not possible for a cubic polynomial. Kelsey is correct. 

Incidentally, if this is a roller coaster we are discussing, then a cubic polynomial is not such a good idea, either for a vertical curve or a horizontal curve. I hope this helps</span><span>
</span>
4 0
3 years ago
convert 15/9 to a decimal round your answer to the nearest hundred.convert 15/9 to a decimal round your answer to the nearest hu
motikmotik

Answer:

1.67

Step-by-step explanation:

after the decimal we have the

tens

hundreths

thousanths

(usually math doesn't ask you to go farther than the thousanths place)

because 15/9 is 1.66666, you will go to the hundreths place and round that six. Six is one more than five so it gets rounded up. That changes the decimal to 1.67.  You do not change it to 1.7, because it asked you to round to the nearest hundred not the nearest tens

6 0
3 years ago
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