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postnew [5]
3 years ago
5

Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper c

ar loader is set to put 69 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 69 tons and standard deviation σ = 0.9 ton. What is the probability that one car chosen at random will have less than 68.5 tons of coal?
Mathematics
1 answer:
svp [43]3 years ago
5 0

Answer:

0.2839 = 28.93%

Step-by-step explanation:

In order to find find the probability that one car chosen at random will have less than 68.5 tons of coal, we have to find z

Le x be tons of coal in a car

Z = (x – mean)/standard deviation

Z = (x – μ)/ σ

P (x<68.5) = P(z < (68.5-69)/0.9)

P (x<68.5) = P(z < -0.5555)

Then we use the z table to find the area under the curve.

P (x<68.5) = 0.2893

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Devin is collecting signatures for a petition to open a new park in her town. She needs to collect at least 1,000 signatures bef
steposvetlana [31]

Answer:

The correct opion is;

7 ≤ p

Step-by-step explanation:

The number of signatures Devin needs to collect = 1,000 signatures

The numer of signatures Devin has already = 380 signatures

The number ofsignatures each petition page can hold = 80 signatures

Therefore;

The number of extra signatures required = 1,000 - 380 = 680 signatures

The number of petition pages required = 1,000 petitions /(80 signatures/page)   = 12.5 pages

The number of pages already filled = 380 petitions /(80 signatures/page) = 4.75 pages

The number of pages remaining, p = 12.5 - 4.75 = 7.75 pages

Therefore, 7 ≤ p.

8 0
3 years ago
Read 2 more answers
Simply. If the solution is not a real number enter not a real number rotate picture answer all 3 please
yuradex [85]

Answer:

13. \frac{\sqrt[5]{x^4} }{x}.

14. v = \pm3\sqrt{5}

15. 2.

Step-by-step explanation:

13. x^{1/5} * x^{-2/5}

= x^{1/5 + (-2/5)}

= x^{1/5 - 2/5}

= x^{-1/5}

= \frac{1}{x^{1/5}}

= \frac{x^{4/5}}{x^{1/5 + 4/5}}

= \frac{x^{4/5}}{x}

= \frac{\sqrt[5]{x^4} }{x}.

14. v^2 - 45 = 0

v^2 = 45

\sqrt{v^2} = \pm\sqrt{45}

\sqrt{v^2} = \pm\sqrt{3^2 * 5}

v = \pm3\sqrt{5}.

15. \sqrt[3]{2} * \sqrt[3]{4}

= \sqrt[3]{2 * 4}

= \sqrt[3]{2 * 2 * 2}

= \sqrt[3]{2 ^3}

= 2.

Hope this helps!

7 0
2 years ago
|6-27| how the answer this question
sweet [91]

Answer:

First notice that they’re asking for the absolute value of the equation.

The absolute value is how far that number is from 0.

Basically it’s the number without a negative sign.

ok so 6-27 = -21

The product for 6-27 (21) is 21 spaces away from 0.

|6-27| = 21

21 is the answer to your question.

Hope this helped and pls mark me brainliest if it did :)

7 0
3 years ago
Read 2 more answers
Geometry arc measure problem
nlexa [21]

Answer:

19° I'm not completely sure but I think this is it

6 0
3 years ago
Use the diagram.<br> What is the length of }EG ?<br> A 1 B 4.4<br> C 10 D 16
nataly862011 [7]

Answer:

Option (D)

Step-by-step explanation:

Length of the bar EG = 1.6x

If F is a point on the bar such that,

EF + FG = EG

Measure of segment EF = 6

Measure of FG = x

By substituting measures of each side,

6 + x = 1.6x

1.6x - x = 6

0.6x = 6

x = 10

Length of EG = x + 6

                      = 10 + 6

                      = 16 units

Option (D) will be the correct option.

3 0
2 years ago
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