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katovenus [111]
3 years ago
9

Given that ∠A≅∠B , Evelia conjectured that ∠A and ∠B are acute angles.

Mathematics
1 answer:
eimsori [14]3 years ago
3 0
45 and 45 is the answer
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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
How many ways can 7 paintings be lined up in a wall
svetlana [45]
7x6x5x4x3x2x1 = 5040
6 0
3 years ago
Read 2 more answers
How do you add fractions and whole numbers together? For example 1/4+2
grigory [225]

Answer:

2.25 or 2 1/4

Step-by-step explanation:

Easy. you add them like regular numbers. 1/4 + 2 = 0.25 + 2 =2.25 and/or 2 1/4

8 0
2 years ago
number of bacteria in a certain population Increases according to a continuous exponential growth model with How many hours does
vladimir1956 [14]

Answer:

It takes 1.77 hours for the population to double.

Step-by-step explanation:

Equation for population growth:

The equation for population growth, after t hours, with a growth rate parameter of r, as a decimal, is given by:

P(t) = P(0)(1+r)^t

Growth rato parameter of 48% per hour

This means that r = 0.48. So

P(t) = P(0)(1+r)^t

P(t) = P(0)(1+0.48)^t

P(t) = P(0)(1.48)^t

How many hours does it take the size of the sample to double?

This is t for which P(t) = 2P(0). So

P(t) = P(0)(1.48)^t

2P(0) = P(0)(1.48)^t

(1.48)^t = 2

\log{(1.48)^t} = \log{2}

t\log{1.48} = \log{2}

t = \frac{\log{2}}{\log{1.48}}

t = 1.77

It takes 1.77 hours for the population to double.

3 0
3 years ago
Please help
nalin [4]

Answer:

1,2,3,4 on edge

Step-by-step explanation:

8 0
2 years ago
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