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hichkok12 [17]
1 year ago
10

A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free.

A juice is chosen at random. Given that the juice is sugar free, find the probability that it is apple juice.
Mathematics
2 answers:
antoniya [11.8K]1 year ago
8 0
To me: given that the juice is sugar free means that I can ignore the 3 sugar apple juices and the 10 sugr grape juices.

Therefore the field of drinks is 14 sugar free drinks and the changes that it is apple juice, is 9:14 or 9/14.

If, on the other hand, the problem is saying that the juice must be sugar free and also apple, that would be 9/27 or 1/3
Citrus2011 [14]1 year ago
4 0

Answer:

D) 9/14

Step-by-step explanation:

There are 9 + 5 = 14 sugar free juices in the cooler. 9 of those are apple juice. Therefore, the conditional probability of getting apple juice given that the juice is sugar free is  9/14

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Right angle FCD intersects Line A B and Ray C E at point C. AngleFCE is congruent to AngleECD. AngleECD is complementary to Angl
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Answer:

A: They are congruent and complementary.

Step-by-step explanation:

Just took the test hope this helps :D

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1 year ago
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An office building has two elevators. One elevator starts out on the 4th floor, 35 feet above the ground, as it’s defending at a
iren2701 [21]

The system of equations are y = 35 - 2.2x and y = 1.7x

<em><u>Solution:</u></em>

Given that, office building has two elevators.

<em><u>One elevator starts out on the 4th floor, 35 feet above the ground, as it’s descending at a rate of 2.2 feet per second</u></em>

Let "x" be the number of seconds for which the elevator is descending

Therefore, for "x" seconds the descended feet is 2.2x feet

The elevator is at 4 th floor, 35 feet above ground

Therefore, from 35 feet, the elevator has descended 2.2x feet for "x" seconds

Let "y" be the final position of elevator after "x" seconds

Therefore,

y = 35 - 2.2x

<em><u>The other elevator starts out at ground level and is rising at a rate of 1.7 feet per second</u></em>

Here, the elevator is rising at a rate of 1.7 feet per second

Therefore, for "x" seconds, the elevator has raised 1.7x feet

Here the elevator is at ground level, therefore

y = 1.7x

Thus the system of equations are y = 35 - 2.2x and y = 1.7x

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2 years ago
Does choosing a blue marble represent the complement event of choosing a red marble
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No it is exactly the color.
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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?
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Mya is a performance athlete. She wants to use a function to represent the number of calories that she burns while training, whe
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Answer:

The actual number of calories that Mya burned when she

trained for 30 minutes is 240.

Step-by-step explanation:

We have an exponential function that is the best fit for the number of calories Mya burns, in function of time (minutes).

The function is:

y=45.3e^{0.0548x}

Where y: calories burned, and x: training time.

Whenever we use regression models, we have a real value and a predicted value. The difference between them, the measure we want to minimize when we adjust with this typo of models, is called residual.

In the table is shown as one of the columns.

For example, for x=10 minutes, we have a real value of 30 and a predicted value of 78.36, so the residual becomes e=30-78.36=-48.36.

e=y-\hat y=30-78.36=-48.36

For x=30 minutes, we have only the residual, that has a value of 5.53. That means that the predicted value, which we can calculate, is 5.53 below the real value.

The predicted value for x=30 is:

y(30)=45.3e^{0.0548*30}=45.3*5.18=234.47

Using the equation for the residual e, we can calcualte the actual number of calories that Mya burned in 30 minutes:

e=y-\hat y=y-234.47=5.53\\\\y=234.47+5.53\\\\y=240

4 0
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