Rock concert tickets are sold at a ticket counter. Femalesandmalesarriveat times of independent Poisson processes with rates 30 and 20 customers per hour. (a) What is the probability the first three customers are female

Answers

Answer 1

Answer:

Answer: The probability that the first three customers are female is 0.216

Step-by-step explanation:

The attachment below shows the calculations clearly.

Related Questions

Three baskets weigh 120 pounds how many pounds are 4 baskets
Select the scenario below that demonstrates sampling bias. Select the correct answer below: a) Justin wants to estimate the ethnic background distribution of residents of his town. He collects data from 1000 randomly selected town residents by using a random number generator. b) To estimate the mean salary of professors at her university, Patricia collects data by recording the salaries of all professors included in 12 randomly selected departments. c) Elizabeth wants to estimate the mean height of students at her school. She collects data by selecting a random group of students within her classroom. d) To estimate the mean grade point average of students at her school, Annie collects data by recording the grade point average of every 25th student on the list of students after randomly selecting first student.
Simplify. square root (108 x^5 y^6)
Which polygons have at least one pair of parallel sides but are not parallelograms? Choose all that apply.
Show that f(x)=12x^3-32x^2+17 has a zero between 2 and 3.

If apple=5, orange=6 and strawberry=10 then banana=?

Answers

Answer:

Step-by-step explanation:

The number corresponds with how many letters there are in a word. In this case, banana has 6 letters.

Answer:

The answer is 6

Step-by-step explanation:

They are counting the nuber of letters in the word apple has 5, orange has 6, and strawberry has 10. Banana has 6 B-A-N-A-N-A.

Factor of this expression 3X + 21 IS

Answers

The answer is: 3 (x + 7)

Explanation:

3 can go into 3x one time.
3 can go into 21 seven times.

Therefore when factorized it is written as:

3 (x + 7)

Answer:

3 (x + 7)

Step-by-step explanation:

3 can go into 3x one time.

3 can go into 21 seven times.

Therefore when factorized it is written as:

3 (x + 7)

A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the cost to make the can if the metal for the sides will cost $1.25 per 2 cm and the metal for the bottom will cost $2.00 per 2 cm ?

Answers

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=(25)/(\pi r^2)$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=(25)/(\pi r^2)$

$\therefore C=2\pi r^2+2.5 \pi r * (25)/(\pi r^2)$

$\Rightarrow C=2\pi r^2+ (62.5)/( r)$

Differentiating with respect to r

$C'=4\pi r- (62.5)/( r^2)$

Again differentiating with respect to r

$C''=4\pi + (125)/( r^3)$

To find the minimize cost, we set C'=0

$4\pi r- (62.5)/( r^2)=0$

$\Rightarrow 4\pi r=(62.5)/( r^2)$

$\Rightarrow r^3=(62.5)/( 4\pi)$

⇒r=1.71

Now,

$\left C''\right|_(x=1.71)=4\pi +(125)/(1.71^3)>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=(25)/(\pi* 1.71^2)$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

If a gardener fences in the total rectangular area shown in the illustration instead of just the square area, he will needtwice as much fencing to enclose the garden. How much fencing will he need?
34 ft

Answers

The perimeter of the rectangle is:

P = 136ft

How much fencing will he need?

For a rectangle of length L and width W the perimeter is:

P = 2*(L + W)

And for a square of side length S, the perimeter is:

P' = 4*L

The length of the rectangle is:

L = 34ft + x

The width is W = x

For the square we have the side length S = x

Here we know that the perimeter of the rectangle is twice the perimeter of the square, then:

2*(W + L) = 2*(4*S)

Replacing these variables in terms of x, we get.

2*(x + 34ft + x) = 2*(4*x)

4x + 68ft = 8x

68ft = 8x - 4x = 4x

68ft/4 = x = 17ft

Then the perimeter of the rectangle is:

P = 2*(34ft + 17ft + 17ft) = 136ft

If you want to learn more about perimeters:

brainly.com/question/24571594

#SPJ1

A 94-ft tree casts a shadow that is 110 ft long. What is the angle of elevation of the sun?

Answers

Answer:

Step-by-step explanation:

Setting up a diagram would be helpful here, so we should have the vertical leg representing the 84-ft. tree and the horizontal leg representing the 120 ft. shadow. With the two measurements we are given, we should use the tangent ratio, opp/adj, to set up an equation to solve for the angle of elevation. So the equation will be:

tan θ = 84/120. Using the tan inverse function on the calculator, we have tan-1( 84/120) = θ and, rounding our decimal value to the nearest 10th, we have θ =35°.

Final answer:

The angle of elevation of the sun, formed by a 94-ft tree and its 110-ft shadow, can be found using tangent in trigonometry. The formula tan(θ) = opposite/adjacent is used, where the opposite is the height of the tree (94 ft) and the adjacent is the length of the shadow (110 ft).

Explanation:

In the given problem, the tree and its shadow form a right triangle with the sun forming the angle of elevation. The length of the tree represents the opposite side of the triangle, and the shadow length represents the adjacent side. To find the angle of the sun's elevation, we can use the tangent function in trigonometry, which is the ratio of the opposite side to the adjacent side.

Step 1: Define variables
Let θ be the angle of elevation.
Opposite side (o) = 94 ft.
Adjacent side (a) = 110 ft.

Step 2: Use the tangent function
The formula is tan(θ) = o/a.

Step 3: Substitute the values
We substitute our variables into the formula to get θ = tan-1(94/110).

Step 4: Calculations
You can calculate this using a scientific calculator to find the angle of elevation.

Learn more about Trigonometry here:

brainly.com/question/31896723

#SPJ3

What is the length of the unknown side of the right triangle?

Answers

Answer:

Hypotenuse

Step-by-step explanation:

Answer:

L= the sum of the square root of the square of the opposite side and the square of the base the triangle.

Step-by-step explanation:

Using Pythagorean Theorem :

the square of the hypotenuse= the square of the opposite side + the square of the base.

Other Questions

Use the figure to find the measures of the numbered angles.

In the standard (x,y) coordinate plane below, the points ( 0,2), (8,2), (3,6), and (11,6) are the vertices of a parallelogram. What is the area, in square units, of the parallelogram

14 over 15 rounded to the nearest tenth

The point-slope form of the equation of a nonvertical line with slope, m, that passes through the point (x1,y1) is...?a. Ax+By=c b. y-y1=m(x-x1) c. y1=mx1+b d. Ax1+by1=C e. y=mx+b f. y1-y=m(x-x1) Please explain why, if you can. Thanks! :)