The mechanical advantage of the pulley is 1.
<h2>Mechanical advantage</h2>
The ratio of the force produced by a machine to the force applied to it.
<h3>The formula for mechanical advantage.</h3>
Here, is output force and input force.
<h3>Given</h3>
A pulley is given.
<h3>To find </h3>
The mechanical advantage of the pulley.
<h3>How to find a mechanical advantage?</h3>
We know by Newton's first law.
P = W
where P is applied force
and W is the weight of the object.
Then
The mechanical advantage of the pulley is 1.
More about the mechanical advantage link is given below.
brainly.com/question/2565461
Answer with Step-by-step explanation:
1.We are given that three events A, B and C.
P(A)=0.26
P(B)=0.5
P(C)=0.45
P(A/B)=0.26
P(B/C)=0
P(C/A)=0.26
When two events A and B are independent then
If two events are mutually exclusive then
We know that
Hence,
Therefore, event A and B are independent.
Therefore, events B and C are mutually exclusive.
Hence, event A and C are neither independent nor mutually exclusive.
Answer: A and B are independent
B and C are mutually exclusive.
2.Let E be the event that randomly chosen person exercises and D be the event that a randomly chosen person is on a diet.
According to question
We have to find P(D/E).
Answer : P(D/E)
Answer:
<u>See the attached figure</u>
Given:
-3x + 2y = 8
5x + 2y = -8
To graph the given equation, make a table between x and y for each equation
Assume x then find the value of y
as an example:
for the equation -3x + 2y = 8
Let x = 0 so, y = 8/2 = 4 and so on
Then graph the pair (x,y), connect the points to graph the line
The attached figure represents the graph of the both line and the table for each line required to graph it.
Also, the intersection between the lines.
Let
x = pounds of peanuts
y = pounds of cashews
z = pounds of Brazil nuts.
The total pounds is 50, therefore
x + y + z = 50 (1)
The total cost is $6.60 per pound for 50 pounds of mixture.
The total is equal to the sum of the costs of the different nuts.
Because the cost for peanuts, cashews, and Brazil nuts are $3, $10, and $9 respectively, therefore
3x + 10y + 9z = 50*6.8
3x + 10y + 9z = 340 (2)
There are 10 fewer pounds of cashews than peanuts, therefore
x = y + 10 (3)
Substitute (3) into (1) and (2).
y + 10 + y + z = 50
2y + z = 40 (4)
3(y + 10) + 10y + 9z = 340
13y + 9z = 310 (5)
From (4),
z = 40 - 2y (6)
Substitute (6) into (5).
13y + 9(40 - 2y) = 310
-5y = -50
y = 10
z = 40 - 2y = 40 - 20 = 20
x = y + 10 = 20
Answer:
Peanuts: 20 pounds
Cashews: 10 pounds
Brazil nuts: 20 pounds