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3 years ago

When solving an equation, Gabrielle's first step is shown below. Which property

Mathematics

1 answer:

Rashid [163]3 years ago

4 0

Answer:

i think 2. division property of equality

distributive property of multiplication over addition

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The port of South Louisiana, located along 54 miles of the Mississippi River between New Orleans and Baton Rouge, is the largest

Ksenya-84 [330]

Answer:

a) 0.7287

b) 0.9663

c) 0.237

d) 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.5 million tons of cargo per week

Standard Deviation, σ = 0 .82 million tons

We are given that the distribution of number of tons of cargo handled per week is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P( port handles less than 5 million tons of cargo per week)

P(x < 5)

$P( x < 5) = P( z < \displaystyle\frac{5 - 4.5}{0.82}) = P(z < 0.609)$

Calculation the value from standard normal z table, we have,

$P(x < 5) =0.7287= 72.87\%$

b) P( port handles 3 or more million tons of cargo per week)

$P(x \geq 3) = P(z \geq \displaystyle\frac{3-4.5}{0.82}) = P(z \geq −1.82926)\\\\P( z \geq −1.82926) = 1 - P(z < -1.829)$

Calculating the value from the standard normal table we have,

$1 - 0.0337 = 0.9663 = 96.63\%\\P( x \geq 3) = 96.63\%$

c)P( port handles between 3 million and 4 million tons of cargo per week)

$P(3 \leq x \leq 4) = P(\displaystyle\frac{3 - 4.5}{0.82} \leq z \leq \displaystyle\frac{4-4.5}{0.82}) = P(-1.829 \leq z \leq -0.609)\\\\= P(z \leq -0.609) - P(z < -1.829)\\= 0.271-0.034 = 0.237= 23.7\%$

$P(3 \leq x \leq 4) = 23.7\%$

d) P(X=x) = 0.85

We have to find the value of x such that the probability is 0.85.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 4.5}{0.82})=0.85$

$= 1 -P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.85$

$=P( z \leq \displaystyle\frac{x - 4.5}{0.82})=0.15$

Calculation the value from standard normal z table, we have,

$P( z \leq -1.036) = 0.15$

$\displaystyle\frac{x - 4.5}{0.82} = -1.036\\x = 3.65$

Thus, 3.65 tons of cargo per week or more that will require the port to extend its operating hours.

8 0

3 years ago

Which expression is equivalent to (3a)-27 3a2 0 o o

Phoenix [80]

Answer:

Step-by-step explanation:

(3a) - 27 = 3a - 3^3 = 3(a - 3^2)

Next time, please share all of the answer choices. Thanks.

3 0

3 years ago

How repeated addition can be used to show that 15 • 3= 45

Karolina [17]

15+15+15=45 Hope this helps.

4 0

4 years ago

PLEASE SHOW WORK!!!!!!

ss7ja [257]

When there is one soda, there is 25 cents, and when there are 3 sodas, there are 75 cents included in the total. So, it's safe to assume that the soda has a minimum of 25 cents each.Then, there are the same amount of donuts in both parts. So, the donuts will take up the same amount of money in both. If you can find how much those donuts are worth, you can find how much the sodas are worth, plus the 25 cents, for each.
If the donuts are worth $1 each, then take away $2 from each total.
You'll get 6.75 for the first, and 2.25 for the second.
From reasoning, you can get that each soda is equal to $2.25 and each donut is equal to $1.
There are different ways to do this, but the way I did it is simply the way my brain works.

8 0

4 years ago

Read 2 more answers

Pls HELP ME ‼️ help help help

kumpel [21]

Answer:

c is the answer pi/9

Step-by-step explanation:so we have from 1 to 6.28

so 3.14 is there

3 is there

pi/9 is about 1/3 or less than 1 so not in between

pi squared/9 is about 9.something/9 so more than 1 over 1 and in between

7 0

3 years ago