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adoni [48]
3 years ago
10

HELPPPPPPPPPPPPPP Solve for x and y

Mathematics
1 answer:
frosja888 [35]3 years ago
7 0

Answer:

x = 0, y = -1

Step-by-step explanation:

10x = 5y + 5

y = 2x - 1

======================

10x = 5(2x - 1) + 5

10x = 10x - 5 + 5

x = 0

======================

y = 2x - 1

y = -1

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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
Select the correct product.<br><br> (y + z)3
Gre4nikov [31]

Answer:

3y + 3z

Step-by-step explanation:

(y + z)3

As the parenthesis contains 2 different variables, we cannot add them

Distribute (Multiply 3 by y and z)

3y + 3z

This is the simplest that this expression can get

Hope this helps :)

7 0
3 years ago
A store has clearance items that have been marked down by 25%. They are having a sale, advertising an additional 40% off clearan
Hatshy [7]

Answer: He would pay 45% of the original price.

Step-by-step explanation:

Since we have given that

Let the original price of item be 'x'

Rate mark down by 25%

Amount of marked down would be

\dfrac{25}{100}\times x\\\\=0.25x

Amount after marked down becomes

x-0.25x\\\\=0.75x

Additional clearance items by 40% off

Amount of additional off is given by

\dfrac{40}{100}\times 0.75x\\\\=0.4\times 0.75x\\\\=0.3x

After additional off, the amount becomes,

0.75x-0.3x\\\\=0.45x

Hence, he would pay 45% of the original price.

5 0
3 years ago
How many triangles can be constructed with sides measuring 1 m, 2 m, and 2 m?
Margaret [11]
Answer: B
Explanation: ONE triangle can be formed.
According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.
Here, the sides are 1 m, 2 m, and 2m. 1m + 2m = 3m > 2m (theorem followed) 2m + 2m = 4m > 1m (theorem followed)
Since, the triangle inequality theorem is followed, Hence, ONE triangle can be formed.
8 0
3 years ago
Read 2 more answers
How is the process of this operation? <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B6%5D%7Bz%2B5%7D%20%7D%7B%20%5C
Yuki888 [10]
a^\frac{n}{m}=\sqrt[m]{a^n}\\---------------\\\\ \dfrac{ \sqrt[6]{z+5} }{ \sqrt{z+5} } =(z+5)^\frac{1}{6}:(z+5)^\frac{1}{2}\\\\/use:a^n\cdot a^m=a^{n+m}/\\\\=(z+5)^{\frac{1}{6}+\frac{1}{2}}=(z+5)^{\frac{1}{6}+\frac{3}{6}}=(z+5)^\frac{4}{6}=(z+5)^\frac{2}{3}\\\\=\sqrt[3]{(z+5)^2}=\sqrt[3]{z^2+2z\cdot5+5^2}=\sqrt[3]{z^2+10z+25}
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3 years ago
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