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MA_775_DIABLO [31]
3 years ago
14

-(-(-)(-)(-10x))=-5 solve for x

Mathematics
2 answers:
Vikentia [17]3 years ago
8 0
The 5 negatives simplify to one negative giving

-10x = -5
x = 0.5
Margarita [4]3 years ago
8 0
X=0.5
Hope that helped
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An investor bought 40 shares of ABC corporation's stock at $80 a share. Two weeks later, the investor receives notice that the c
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If a car travels 23 miles on 1.0 gal of gas, how many liters of gasoline are needed for a 135 mile trip?
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3 0
3 years ago
The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest
jeka94

Answer:

(a) The probability that the port handles less than 5 million tons of cargo per week is 0.7291.

(b) The probability that the port handles 3 or more million tons of cargo per week is 0.9664.

(c) The probability that the port handles between 3 million and 4 million tons of cargo per week is 0.2373.

(d) The number of tons of cargo per week that will require the port to extend its operating hours is 5.35 million tons.

Step-by-step explanation:

Let <em>X</em> = amount of cargo the port handles per week.

The random variable <em>X</em> is Normally distributed with parameters,

<em>μ</em> = 4.5 million

<em>σ</em> = 0.82 million

(a)

Compute the probability that the port handles less than 5 million tons of cargo per week as follows:

P(X

*Use a <em>z</em>-table for the probability.

Thus, the probability that the port handles less than 5 million tons of cargo per week is 0.7291.

(b)

Compute the probability that the port handles 3 or more million tons of cargo per week as follows:

P(X\geq 3)=P(\frac{X-\mu}{\sigma}\geq \frac{3-4.5}{0.82})\\=P(Z>-1.83)\\=P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that the port handles 3 or more million tons of cargo per week is 0.9664.

(c)

Compute the probability that the port handles between 3 million and 4 million tons of cargo per week as follows:

P(3

Thus, the probability that the port handles between 3 million and 4 million tons of cargo per week is 0.2373.

(d)

It is provided that P (X < x) = 0.85.

Then, P (Z < z) = 0.85.

The value of <em>z</em> for this probability is:

<em>z</em> = 1.04.

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\1.04=\frac{x-4.5}{0.82}\\x=4.5-+1.04\times 0.82)\\x=5.3528\approx5.35

Thus, the number of tons of cargo per week that will require the port to extend its operating hours is 5.35 million tons.

5 0
4 years ago
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