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Triss [41]
2 years ago
7

What is the value of x in the linear inequality? -3(4x-8.2) < -11.98x + 14 3/4

Mathematics
1 answer:
Dmitrij [34]2 years ago
8 0

-3(4x-8.2) < -11.98x + 14 3/4

Expand by using distributive property

-12x + 24.6 < -11.98x + 14.75

Subtract 24.6 from both sides

-12x < -11.98x - 9.85

Add both sides by -11.98x

-0.02x < - 9.85

Divide both sides by -0.02 (sign will be flipped)

x > 492.5

Hope it helps.

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What is the absolute value of the complex number Negative 4 minus StartRoot 2 EndRoot i?
IRINA_888 [86]

Answer:

3\sqrt{2}

Step-by-step explanation:

For the complex number a+bi, the absolute value is \sqrt{a^2+b^2}

Given the complex number -4-\sqrt{2}i. For this complex number,

a=-4\\ \\b=-\sqrt{2},

then the absolute value is

\sqrt{(-4)^2+(-\sqrt{2})^2}=\sqrt{16+2}=\sqrt{18}=3\sqrt{2}

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2 years ago
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The pressure at sea level is 111 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of
tiny-mole [99]

Answer:

we have P(x) = mx + 1

Step-by-step explanation:

Allow me to revise your question for a better understanding:

<em>The pressure at sea level is 1 atmosphere and increases at a constant rate as depth increases. When Sydney dives to a depth of 23 meters, the pressure around her is 3.3 point, 3 atmospheres. The pressure p in atmospheres is a function of x, the depth in meters.</em>

My answer:

Given:

At O meter the the pressure is 1 (0, 1)

At 23 meters the the pressure is 3.3 (23, 3.3)

From that, we can form a linear equation with the standard form:

P(x) = mx + b (1)

The slope of (1) is:

m=\frac{3.3-1}{23-0}=\frac{2.3}{23}=\frac{23}{230}=0.1

<=> P(x) = 0.1x + b

Substitute the point (0, 1) into (1) we have:

1 = 0.1*0 + b

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So we have the equation of this line will be: P(x) = mx + 1

7 0
2 years ago
Based on a study from the Chronicles of Flippin'' Awesomeness, the probability that Napoleon and Pedro make it to their first pe
muminat

Answer:

15.25% probability that Napoleon and Pedro catch the bus and make it to their first period class on time

Step-by-step explanation:

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 problem, we have that:

Event A: Both Napoleon and Pedro catch the bus, so P(A) = 0.25.

Event B: Making to their first period class on time.

However, the probability that they make it to their first period class on time, given that they catch the bus is 0.61.

This means that P(B|A) = 0.61

What is the probability that Napoleon and Pedro catch the bus and make it to their first period class on time

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

0.61 = \frac{P(A \cap B)}{0.25}

P(A \cap B) = 0.61*0.25

P(A \cap B) = 0.1525

15.25% probability that Napoleon and Pedro catch the bus and make it to their first period class on time

8 0
2 years ago
Find the probability for one roll of a number cube.
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Answer:

for 5 probability is 1/6

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Step-by-step explanation:

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