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2 years ago

If a teacher brings 3 gallons of juce on a feild trip for 36 students how many fluid ounces did she bring

Mathematics

2 answers:

torisob [31]2 years ago

8 0

She brought 128 fluid ounces.

Elza [17]2 years ago

6 0

If there are 128 fluid ounces per US gallon, and there are 3 gallons, 3x128=384. The teacher brought 384 fluid ounces of juice on the feild trip.

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What are the roots of x in -10x2 + 12x − 9 = 0?

hoa [83]

Answer:

$x_1=\frac{3(2+i\sqrt{6})}{10}$

$x_2=\frac{3(2-i\sqrt{6})}{10}$

Step-by-step explanation:

Use the Quadratic formula:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

You can identify that, in this case:

$a=-10\\b=12\\c=-9$

Now you need to substitute these values into the formula:

$x=\frac{-12\±\sqrt{12^2-4(-10)(-9)}}{2(-10)}$

$x=\frac{-12\±\sqrt{-216}}{-20}$

Remember that:

$i=\sqrt{-1}$

Therefore,rewriting and simplifying, you get:

$x=\frac{-12\±6i\sqrt{6}}{-20}$

$x=\frac{-6(2\±i\sqrt{6})}{-2(10)}$

$x=\frac{3(2\±i\sqrt{6})}{10}$

Then, you get the following roots:

$x_1=\frac{3(2+i\sqrt{6})}{10}$

$x_2=\frac{3(2-i\sqrt{6})}{10}$

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2 years ago

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Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start w

Tasya [4]

Answer:

0.25 = 25% probability that it will rain today and ruin your picnic

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Cloudy skies

Event B: Rain

20% of all days start with clouds in the air

This means that $P(A) = 0.2$

50% of rainy days start with rain clouds in the air

50% of 10%. So

$P(A \cap B) = 0.5*0.1 = 0.05$

What is the probability that it will rain today and ruin your picnic

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25$

0.25 = 25% probability that it will rain today and ruin your picnic

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2 years ago

I will give brainlest if you get it correct

lianna [129]

Answer:i think d.please dont blame me im not sure.sorry

Step-by-step explanation:

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Madison made the following table to record the height of each person in her family.

alexira [117]

By taking the height of the dad and mom 6²3/8 minus 5²5/8
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D.reflection across y=x

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Rotation of 180° about the origin

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