# Heights of women (in inches) are approximately N(64.5,2.5) distributed. Compute the probability that the average height of 25 randomly selected women will be bigger than 66 inches.

the probability that the average height of 25 randomly selected women will be bigger than 66 inches is 0.0013

Step-by-step explanation:

From the summary of the given statistical dataset

The mean and standard deviation for the sampling distribution of sample mean of 25 randomly selected women can be calculated as follows:

= 64.5

= 0.5

Thus X N (64.5,0.5)

Therefore, the probability that the average height of 25 randomly selected women will be bigger than 66 inches is:

the probability that the average height of 25 randomly selected women will be bigger than 66 inches is 0.0013

## Related Questions

Let F = sin ( 8 x + 5 z ) i − 8 y e x z k . F=sin⁡(8x+5z)i−8yexzk. Calculate div ( F ) div(F) and curl ( F ) . and curl(F). (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Required results are =8\cos(8x+5z)-8ye^x[/tex]  and

Step-by-step explanation:

Given vector function is,

To find and .

And,

Hence the result.

Assume f(x) = ax^2+ bx + c Which one is true? f is a parabola that opens sideways to the right. f is a parabola that opens sideways to the left. f is a parabola that opens downward. f is a parabola that opens upward.​

Step-by-step explanation:

f is a parabola that opens upward.

How much more gasoline will it take to fill the tank?

I  think you need to divide both fractions and see if you will get a answer from the answer choices.

Step-by-step explanation:

Working together, two secretaries can stuff the envelopes for a political fund-raising letter in 4 hours. Working alone, it takes the slower worker 6 hours longer to do the job than the faster worker. How long does it take each to do the job alone

Answer: The faster one needs 6 hours, the slower one needs 12 hours.

Step-by-step explanation:

Let's define Sa and Sb as the times that each worker needs to stuff the envelopes for a political fundraising letter.

Sa is the faster one

Sb is the slower one.

Let's define 1 as a complete task.

Then:

when they both work together, they need 4 hours:

(1/Sa + 1/Sb)*4h = 1.

The slower one needs 6 more hours than the faster one:

Sb = (Sa + 6h).

We can replace this in the first equation and get:

(1/Sa + 1/(Sa + 6h))*4h = 1.

let's solve this for Sa.

1/Sa + 1/(Sa + 6h) = 1/4h.

(Sa + 6h) + Sa = Sa*(Sa + 6h)/4h.

2*Sa + 6h = Sa^2/4h + Sa*(6/4)

Then we have a quadratic equation:

(1/4h)*Sa^2 - (2/4)*Sa - 6h = 0h

(0.25*1/h)*Sa^2 - 0.5*Sa - 6h = 0h

The solutions come from the Bhaskara equation:

Then we have two solutions:

Sa = ((0.5 + 2.5)/0.5 )h = 6h.

Sb = ( (0.5 - 2.5)/0.5) = -4h

The one that makes sense is the positive option (the negative one has no physical meaning in this situation)

Then the faster worker needs 6 hours to stuff all the envelopes.

And the slower one needs 6h + 6h = 12hours to stuff all the envelopes.

So when they work together, the combined rate is:

(1/6h + 1/12h) = (2/12h + 1/12h) = (3/12h) = (1/4h)

So working together they need 4 hours to stuff all the envelopes.

What is the volume of the cone below

263.99Pi or 264Pi units by approximation

Step-by-step explanation:

Volume of cone is 1/3 x Pi x radius ^2 x height

Radius is given as 6, height as 22

Hence volume of cone= 1/3 x Pi x (6)^2 x 22

=1/3 x PI x36x 22

= 263.99 PI

=264PI units

A new homeowner is mulching a flower bed in his back yard. The flower bed is 9 feet long and 3.5 feet wide. How many square feet will be needed to cover it in mulch?

31.5ft²

Step-by-step explanation:

Formula for area:

Area = Length * Width

Calculate area by substituting in known values

Area = 9 * 3.5

Area = 31.5ft²

31.5ft²

Hope this helps :)