The midpoint of -7 and 8 on the number line is 1/2 true or false

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

Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.

lakkis [162]

$\sf 5x+2y=21$
$\sf -2x+6y=-34$

We could solve for 'x' in the 2nd equation and then plug that into the first equation for 'x' and solve for 'y':

$\sf -2x+6y=-34$

Subtract 6y to both sides:

$\sf -2x=-6y-34$

Divide -2 to both sides:

$\sf x=3y+17$

Plug in 3y + 17 for 'x' in the first equation:

$\sf 5x+2y=21$

$\sf 5(3y+17)+2y=21$

Distribute 5:

$\sf 15y+85+2y=21$

Combine like terms:

$\sf 17y+85=21$

Subtract 85 to both sides:

$\sf 17y=-64$

Divide 17 to both sides:

$\boxed{\sf y\approx -3.8}$

This is the y-coordinate of the solution.

5 0

3 years ago

Read 3 more answers

Line k has a slope of 2/3. If line m is parallel to line k, then it has a slope of

dalvyx [7]

<span>If line m is parallel to line k, then it has a slope of C)2/3</span>

5 0

3 years ago

Elijah is ordering a taxi from an online taxi service. The taxi charges $2

tigry1 [53]

So there’s a flat fee of 2 and that’s like a standalone thing so our equation would be
2 + 1.50m

Assuming m = 9, it would be 2 + 13.50

And the two answers are-

A) $15.50
B) 2 + 1.50m

5 0

2 years ago

A parabolic microphone used on the sidelines of a professional football game uses a reflective dish 24 in. wide and 5 in. deep.

madreJ [45]

Answers:

(1 Question in written form): 7.2 inches.

(2 Question in the picture): Option (D) $(y+1)^2=2(x+3)$ and $F=(\frac{-5}{2},-1)$ and $x=\frac{-7}{2}$

Explanations:

1. (Question in written form):

First you need to know the standard form of a parabola (considering it opens in +x direction and the vertex of the parabola is at origin), which is as follows:

$(y-k)^2 = 4p(x-h)$

Since the vertex of the parabola is at origin, h = 0 and k = 0. The above equation will now become:

$y^2 = 4px$ ---- (A)

Where p is the distance between the vertex and the focus of a parabola, which we need to find (or where the microphone should be placed).

As the vertex is assumed to be placed at the origin, the parabolic dish, which is 24 inches wide, will be split evenly on both sides of the y axis (as the opening of the parabola is in x-axis—stated above), giving the distance of 12 inches from each sides of y axis (12 inches + 12 inches = 24 inches). Since it (parabolic microphone) is 5 inches deep, the coordinates will become: (5, +12) and (5, -12).

Plug any of the points—(5,+12) or (5,-12)—in equation (A), you will get the following:

$(12)^2 = 4p(5) \\ 144 = 4p(5) \\ \frac{144}{5} = 4p \\ \frac{144}{5*4} = p \\ p=7.2\thinspace inches$