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Leokris [45]
1 year ago
13

If P = (-2,7), Find: Rx-1(P) ([?], [])

Mathematics
1 answer:
dexar [7]1 year ago
6 0

Answer is (4,7)

Step-by-step explanation:

You might be interested in
Before every​ flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the ai
ollegr [7]

Answer:

The probability that the aircraft  is  overload = 0.9999

Yes , The pilot has to be take strict action .

Step-by-step explanation:

P.S - The exact question is -

Given - Before every​ flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the aircraft. The aircraft can carry 37 ​passengers, and a flight has fuel and baggage that allows for a total passenger load of 6,216 lb. The pilot sees that the plane is full and all passengers are men. The aircraft will be overloaded if the mean weight of the passengers is greater than 6216/37 = 168 lb. Assume that weight of men are normally distributed with a mean of 182.7 lb and a standard deviation of 39.6.

To find - What is the probability that the aircraft is​ overloaded ?

         Should the pilot take any action to correct for an overloaded aircraft ?

Proof -

Given that,

Mean, μ = 182.7

Standard Deviation, σ = 39.6

Now,

Let X be the Weight of the men

Now,

Probability that the aircraft is loaded be

P(X > 168 ) = P(\frac{x - \mu}{\sigma} > \frac{168 - \mu}{\sigma} )

                 = P( z > \frac{168 - 182.7}{39.6} )

                 = P( z > -0.371)

                 = 1 - P ( z ≤ -0.371 )

                 = 1 - P( z > 0.371)

                 = 1 - 0.00010363

                 = 0.9999

⇒P(X > 168) = 0.9999

As the probability of weight overload = 0.9999

So, The pilot has to be take strict action .

5 0
2 years ago
I need the answer help<br>​
lisov135 [29]

Answer:

the second one(20)

Step-by-step explanation:

If you pretend 20 is x, you solve the equation by pluging in x (20) into the equation and it gives you 70, 70 is what the big part is and 70+20 is 90, which is the size of a 90degree side.

4(20)-10

80-10

70

70+20=90

3 0
2 years ago
Read 2 more answers
K - 4.8=0.32 - 5.4k answer?
RSB [31]

Answer:

k =4/5

Step-by-step explanation:

k - 4.8=0.32 - 5.4k\\\mathrm{Multiply\:both\:sides\:by\:}100\\k\times\:100-4.8\times\:100=0.32\times\:100-5.4k\times\:100\\\\Refine\\100k-480=32-540k\\\\Add\: 480\mathrm{\:to\:both\:sides}\\100k-480+480=32-540k+480\\\\Simplify\\100k=-540k+512\\\\\mathrm{Add\:}540k\mathrm{\:to\:both\:sides}\\100k+540k=-540k+512+540k\\\\Simplify\\640k=512\\\\\mathrm{Divide\:both\:sides\:by\:}640\\\frac{640k}{640}=\frac{512}{640}\\\\k=\frac{4}{5}

5 0
3 years ago
Please help! I dont understand! Thank you
Digiron [165]

QUESTION A

The given inequality is  

x-1\:>\:5

Add 1 to both sides of the inequality to obtain;

x\:>\:5+1

x\:>\:6

Answer: 2. x\:>\:6, open dot at 6 and shaded to the right.(A)

QUESTION B.

The given inequality is 2x \le 6.

Divide both sides by 2;

x \le \frac{6}{2}.

x \le 3.

Answer: 5. x \le 3, closed dot at 3 and shaded to the left(B).

QUESTION C

The given inequality is x-7\:>\:-4

Add 7 to both sides to get;

x\:>\:-4+7

\Rightarrow x\:>\:3

Answer: 7. x\:>\:3, open dot at 3 and shaded to the right.(C)

QUESTION D

We want to solve;

-2x \:

Divide through by -2 and reverse the inequality sign;

x \:>\:\frac{6}{-2}

x \:>\:-3

Answer; 3. x \:>\:-3 Open dot at -3 and shaded to the right. (D)

QUESTION E

We have  

4\:

Divide through by -4 and reverse the sign.

\frac{4}{-4}\:>\:x

-1\:>\:x

or

x\:

Answer: 6. x\: open dot at -1, and shaded to the left(E)

QUESTION F

The given inequality is -2x+3\:

Add -3 to both sides to get;

-2x\:

-2x\:

Divide both sides of the inequality by -2 and reverse the sign;

x\:>\:5

Answer:9. x\:>\:5, open dot at 5 and shaded to the right(F)

QUESTION G

The given  inequality is

5x+1\ge11

5x\ge11-1

5x\ge10

Divide by 5

x\ge2

Answer ; 10. x\ge2, closed dot at 2 and shaded to the right(G)

QUESTION H

We have 3(x+4)\:>\:8x-6

Expand the bracket to get;

3x+12\:>\:8x-6

Group similar terms to get;

3x-8x\:>\:-6-12

Simplify

-5x\:>\:-18

Divide through by -5 and reverse the sign;

x\:

Answer: 1. x\: Open dot at 18/5 and shaded to the left(H)

QUESTION I

We have -3x+4\:.

-3x+x\:

-2x\:

Divide by -2 and reverse the sign;

x\:>\:1

Answer: 8. x\:>\:1, open dot at 1 and shaded  to the right(I)

J. The given inequality -2(x-4)\:>\:5-(x+2)

Expand the bracket to get;

-2x+8\:>\:5-x-2

Group like terms to get;

-2x+x\:>\:5-2-8

-x\:>\:-5

Divide by -1 and reverse the sign to get;

x\:

Answer; 4. x\:, open dot at 5 and shaded to the left.(J)

6 0
3 years ago
600 millimeters of rain fell in 30 minutes what is the unit rate for millimeters per minute
sleet_krkn [62]
600 mm of rain / 30 min = 50 mm of rain per minute
3 0
3 years ago
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