The volume of the given figure is _

Ball-Bearings, Inc. produces ball bearings automatically on a Kronar BBX machine. For one of the ball bearings, the mean diamete

kherson [118]

Answer:

3.6% of the ball bearings will have diameters of 20.27 mm or more.

Step-by-step explanation:

We can calculate this proportion using the z-score.

We have a normal distribution with mean 20.00 mm and standard deviation of 0.150 mm.

The value for X is 20.27 mm.

Then, the z-score and its associated probability are:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{20.27-20}{0.15}=\dfrac{0.27}{0.15}=1.8\\\\\\P(X>20.27)=P(z>1.8)=0.036=3.6\%$

3 0

4 years ago

A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours

qaws [65]

Answer:

The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.

Below are all the steps explained in detail.

The graph is attached.

Explanation:

1. Name the variables:

x: number of smaller lifts
y: number of larger lifts

2. Build a table to determine the number of hours each lift requires from each department:

Number of hours

small lift large lift total per department

Welding department 1x 3y x + 3y

Packaging department 2x 1y 2x + y

3. Constraints

150 hours available in welding: x + 3y ≤ 150
120 hours available in packaging: 2x + y ≤ 120
The variables cannot be negative: x ≥ 0, and y ≥ 0

Then you must:

draw the lines and regions defined by each constraint
determine the region of solution that satisfies all the constraints
determine the vertices of the solution region
test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

4. Graph

See the graph attached.

Here is how you draw it.

x + 3y ≤ 150
draw the line x + 3y = 150 (a solid line because it is included in the solution set)
shade the region below and to the left of the line

2x + y ≤ 120
draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
shade the region below and to the left of the line

x ≥ 0 and y ≥ 0: means that only the first quadrant is considered

the solution region is the intersection of the regions described above.

take the points that are vertices inside the solutoin region.

5. Test the profit function for each vertex

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

(0,0)
(0,50)
(42,36)
(60,0)

The profits with the vertices are:

P(0,0) = 0
P(0,50) = 25(0) + 90(50) = 4,500
P(42,36) = 25(42) + 90(36) = 4,290
P(60,0) = 25(60) + 90(0) = 1,500

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

3 0

3 years ago

Suppose an and bn are series with positive terms and bn is known to be convergent. (a) If an > bn for all n, what can you say

yawa3891 [41]

Answer:

a. i. We cannot say anything about aₙ

ii. we do not know if the terms of aₙ are increasing or decreasing

b. i. aₙ converges by the Comparison Test.

ii. aₙ also converges since bₙ.

Step-by-step explanation:

(a)

i) If aₙ > bₙ for all n, what can you say about aₙ ? Why?

We cannot say anything about an.

ii) Why?

This is because since ∑bₙ converges, ∑aₙ > ∑bₙ, we do not know if the terms of aₙ are increasing or decreasing, so we have no information about it.

(b) If aₙ < bₙ for all n, what can you say about aₙ ? Why?

i) aₙ converges by the Comparison Test.

ii) Why?

This is because since ∑bₙ converges, and ∑aₙ < ∑bₙ, we know that the terms of aₙ are also decreasing and, by the comparison test, aₙ also converges since bₙ.

7 0

3 years ago

imagine ur own " gf " hack-ing u and they say they are gonna be yours forever then do some bs like that smh. i can't even change

cricket20 [7]

Answer:

gl

Step-by-step explanation:

r i p

4 0

3 years ago

Read 2 more answers

I need help, someone help me

Irina-Kira [14]

The area of the big circle is 415.48 and the smaller one is 59.69 so divide 59.69 by that number and multiply by 100 then do 100- that number(14.37) to get 85.63%

5 0

4 years ago

The volume of the given figure is __ ft3