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4 years ago

Assume a random variable x is normally distributed with mean = 90 and standard deviation = 5. Find the indicated probability.

Mathematics

1 answer:

nikklg [1K]4 years ago

7 0

Answer:

16%

Step-by-step explanation:

The indicated probability is actually the area under the standard normal curve to the left of the mean. I used the function normalcdf( on my TI-83 Plus calculator to find this quantity:

normalcdf(-1000,85,90,5) = 0.1587.

Note #1: This quantity (area / probability) is the area to the left of 85.

Note #2: by the Empirical Rule, 68% of data lies within 1 s. d. of the mean, so the area between the mean (90) and the score (85) is half of 68%, or 34%. Subtracting this from 50% (the area to the left of the mean), we get 16%, which is roughly equivalent to the 0.1587 we got earlier.

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flying to munich with a tailwind plane averaged 242 mph. on the return trip the plane only averaged 178 mph while flying back in

Romashka [77]

Answer:

The speed of wind is 32 mile per hour

The speed of plane is 210 mile per hour

Step-by-step explanation:

Given as :

The speed of plane with tailwind = 242 mph

The speed of the return trip = 178 mph

Let The speed of the wind = y mph

The speed of the plane = x mph

Now , According to question

The speed of plane with tailwind = x + y

Or, x + y = 242 mph .......1

and The speed of the return trip = 178 mph

or , x - y = 178 mph ........2

Solving both equations

( x + y ) + ( x - y ) = 242 + 178

Or, 2 x = 420

∴ x = $\frac{420}{2}$

I.e x = 210 mph

Put the value of x in eq 1

I.e x + y = 242 mph

or, 210 + y = 242

∴ y = 242 - 210

I.e y = 32 mph

Hence The speed of wind is 32 mile per hour

And The speed of plane is 210 mile per hour Answer

5 0

3 years ago

Trenton's laptop is 32 centimeters wide.What is the width of the laptop in decimeter?

hjlf

Trenton's laptop would be 3.2 decimeters.

7 0

3 years ago

Read 2 more answers

Use the substitution method to answer the system of equations. 5x + 2y = 1 y = -x + 2

frosja888 [35]

Answer:

x = -1

Step-by-step explanation:

5x + 2y = 1 (eqn 1)

y = -x + 2 (can also be written as y = 2 - x)

subbing y = -x +2 in eqn 1,

5x + 2(2-x) = 1

5x + 4 - 2x = 1

3x = 1 - 4

3x = -3

x = -1

Hope this helps, and please mark me brainliest if it does!

7 0

3 years ago

What point in the feasibility region maximizes the objective function?

crimeas [40]

In general, you solve a problem like this by identifying the vertices of the feasible region. Graphing is often a good way to do it, or you can solve the equations pairwise to identify the x- and y-values that are at the limits of the region.

In the attached graph, the solution spaces of the last two constraints are shown in red and blue, and their overlap is shown in purple. Hence the vertices of the feasible region are the vertices of the purple area: (0, 0), (0, 1), (1.5, 1.5), and (3, 0).

The signs of the variables in the contraint function (+ for x, - for y) tell you that to maximize C, you want to make y as small as possible, while making x as large as possible at the same time. The solution space vertex that does that is (3, 0).

8 0

3 years ago

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Find the area of a pentagon with an apothem of 7.3 and a side length of

lesantik [10]

9514 1404 393

Answer:

193.5 square units

Step-by-step explanation:

The area formula for this situation is ...

A = 1/2Pa

where P is the perimeter of the regular polygon, and 'a' is its apothem. For a pentagon, the perimeter is 5 times the side length, so the area is ...

A = (1/2)(5×10.6)(7.3) = 193.45

To the nearest tenth, the area is 193.5 square units.

4 0

3 years ago