Answer:

**Answer:**

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

Which function is even? check all that applya. y = csc x b. y = sin x c. y = sec x d. y = cos x

Using division to determine which of the following numbers are factors of 351235735so which are factors and which are not

Ninety-nine is what percent of 150?

Which graphs represent functions?

What is the slope of the line that contains these points?x 15,17,19,21 y -10,2,14,26

Using division to determine which of the following numbers are factors of 351235735so which are factors and which are not

Ninety-nine is what percent of 150?

Which graphs represent functions?

What is the slope of the line that contains these points?x 15,17,19,21 y -10,2,14,26

**Answer:**

**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.

**Step-by-step explanation:**

f is a parabola that opens upward.

**Answer:**

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

**Step-by-step explanation:**

**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.

**Answer:**

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

**Answer:**

**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 :)**