Answer:
(a) 99.865%
(b) 0.135%
Explanation:
Given that the weight of the boxes are normally distributed.
The average weight of the particular box,
[tex]\mu=26.0[/tex] ounce
The standard deviation of weight,
[tex]\sigma=0.5[/tex] ounce.
Let [tex]z[/tex] be the standard normal variable,
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And, the probability of the boxes having weight x ounces is
[tex]P(z)=\frac{1}{2\pi}e^{-\frac{z^2}{2}}[/tex]
For [tex]x=24.5[/tex],
[tex]z=\frac{x-\mu}{\sigma}=\frac{24.5-26}{0.5}=-3[/tex]
(a) For the boxes having weight more than 24.5 ounces:[tex]z>-3[/tex]
So, the probability of boxes for [tex]z>-3[/tex] is
[tex]P(z>-3)=\int_{-3}^{\infty}\left(\frac{1}{2\pi}e^{-\frac{z^2}{2}}\right)dx[/tex]
=0.99865
So, the percent of the boxes weigh more than 24.5 ounces is 99.865%.
(b) For the boxes having weight less than 24.5 ounces: z<-3
So, the probability of boxes for z<-3 is
[tex]P(z<-3}=1-P(z>-3}=1-0.99865[/tex]
=0.00135
So, the percent of the boxes weigh more than 24.5 ounces is 0.135%.
Does the kinetic energy of an object depend on its gravitational potential energy? use evidence to explain your answer.
Answer:
Short answer: No
Explanation:
Long answer: Kinetic energy is the amount of energy in a moving object. Gravitational potential energy is the energy in an object because of the object's position in the gravitational field.
Imagine a car travelling along a road. There is a wall at one end of the road and car collides with this wall. The energy released when the car collides with the wall is the kinetic energy of the moving car. To have kinetic energy an object must have velocity. The equation for the kinetic energy of a moving object is
K.E = [tex]\frac{1}{2} mv^{2}[/tex] , where m is the mass of the object and v is velocity. So, if velocity is zero (i.e. the object isn't moving), K.E = 0.
Now, imagine a car falling from a plane which is flying at a height of 300 metres from the ground. The energy the car possesses at a height of 300m is its gravitational potential energy. This is the energy which causes the falling car to move toward the ground in the first place.
You might think that as the car moves towards the ground, it has velocity since it's moving. Well, yes; the car does have kinetic energy, but only when it starts moving; the car does not have any kinetic energy when it's on the cargo hold of the plane. It is the gravitational potential energy of the car which causes an increase in kinetic energy. The equation for gravitational potential energy is:
[tex]G.P.E = mgh[/tex] , where m= mass of the object, g is the gravitational field strength (i.e 10N/kg) and h is the height of the object from the ground. So, imagine if the car parked on the ground, its gravitational potential energy would be zero, and if gravitational potential energy is zero, then there will be no force to cause the car to start moving and gain kinetic energy.
In this sense, you might say that the kinetic energy of the object does depend on its gravitational potential energy, but remember, in the first example, the car was not moving downwards; it was moving horizontally. So gravitational potential energy only affects kinetic energy downwards, but kinetic energy can be in any direction.
And hence, gravitational potential energy does not affect kinetic energy.
In a complete description of a force vector, which is usually not necessary?
Answer:
Position
Explanation:
A force vector has both magnitude and direction, which can be represented by a line with an arrow head. The length of the line describes magnitude, while the arrows points in the required direction.
generally, the position of a vector is unimportant when describing the vector. Thus, when a force vector is to be described, it is unnecessary to make reference to its original position. Majorly, its magnitude and direction is considered.
A notation that shows which elements, and how many of each type a compound contains is a(an)
______________.
a. Chemical formula c. Molecule
b. Anion d. Polar Covalent Bond
Answer:
a. Chemical formula
Explanation:
A notation that shows which elements, and how many of each type a compound contains is a chemical formula.
Basically, a chemical formula helps scientists to show or illustrate the type and number of atoms present in a particular molecule or compound by using numerical subscript, ions and atomic symbol of a chemical element.
This ultimately implies that, a chemical formula is used to describe or denote the exact amount of atoms that make up a molecule or compound.
Some examples of a chemical formula are;
Water = [tex]H_{2}O[/tex]
Sodium Hydroxide = [tex]NaOH[/tex]
Hydrochloric acid = [tex]HCl[/tex]
Carbon II oxide = [tex]CO_{2}[/tex]
An object moves in a straight path. Its position x as a function of time t is presented by the equation x(t) = at – bt2+c, where a = 1.4 m/s, b = 0.06 m/s2 and c =50 m. a. Calculate the average velocity of the object for the time interval t = 0 to t = 5 s b. Calculate the average velocity of the object for the time interval t = 0 to t = 10 s c. Calculate the average velocity of the object for the time interval t = 10 to t = 15 s
Answer:
The answer is below
Explanation:
Given that:
x(t) = at – bt2+c
a) x(t) = at – bt2+c
Substituting a = 1.4 m/s, b = 0.06 m/s2 and c =50 m gives:
x(t) = 1.4t - 0.06t² + 50
At t = 5, x(5) = 1.4(5) - 0.06(5)² + 50 = 55.5 m
At t = 0, x(0) = 1.4(0) - 0.06(0)² + 50 = 50 m
The average velocity (v) is given as:
[tex]v=\frac{x(5)-x(0)}{5-0}\\ \\v=\frac{55.5-50}{5-0}=1.1\\ \\v=1.1\ m/s[/tex]
b) x(t) = 1.4t - 0.06t² + 50
At t = 10, x(10) = 1.4(10) - 0.06(10)² + 50 = 58 m
At t = 0, x(0) = 1.4(0) - 0.06(0)² + 50 = 50 m
The average velocity (v) is given as:
[tex]v=\frac{x(10)-x(0)}{10-0}\\ \\v=\frac{58-50}{10-0}=0.8\\ \\v=0.8\ m/s[/tex]
c) x(t) = 1.4t - 0.06t² + 50
At t = 15, x(5) = 1.4(15) - 0.06(15)² + 50 = 57.5 m
At t = 10, x(10) = 1.4(10) - 0.06(10)² + 50 = 58 m
The average velocity (v) is given as:
[tex]v=\frac{x(15)-x(10)}{15-10}\\ \\v=\frac{57.5-58}{15-10}=0.1\\ \\v=0.1\ m/s[/tex]
A 345 kg block has a weight of __ on earth.
A) 345 kg
B) 345 pounds
C) 345 N
D) 34.5 N
Answer:
The correct answer is;
3450 N
Explanation:
The given parameters are;
The mass of the block = 345 kg
The location of the block = Earth
The weight, W, of an object on Earth is given by the mass of the object × The acceleration due to gravity
The acceleration due to gravity on Earth ≈ 10 m/s²
Therefore, we have;
The weight of the block on Earth = The mass of the block × The acceleration due to gravity of the block = 345 kg × 10 m/s²
∴ The weight of the block on Earth = 3450 kg·m/s² = 3450 N
A 350 kg block has a weight of 3450 N
(Therefore, a 34.5 kg block has a weight of 345 N)
The volume of water in a graduated cylinder is 88 mL. After a small object is placed in the cylinder, the volume increases to 100 mL. What is the volume of the object? First give your answer in mililiters, then in cubic centimeters.
22 milileters and also 22 cubic meters
Formula: multiply the volume value of milileter by 1 to get cubic meter
The volume of the small object is 12mL (milliliters) or 12cm³ (cubic centimeters).
Given the data in the question;
Volume of Water; [tex]V_w = 88mL[/tex]Volume of water and Small object; [tex]V_{w+o} = 100mL[/tex]Volume of object; [tex]V_o =\ ?[/tex]
To determine the volume of object, we simply substract the Volume of Water from the Volume of water and Small object.
[tex]V_o = V_{w+o} - V_w[/tex]
We substitute our given values into the expression
[tex]V_o = 100mL - 88mL\\\\V_o = 12mL[/tex]
We know 1 milliliters equals 1 cubic centimeters
so
[tex]V_o = 12cm^3[/tex]
Therefore, the volume of the small object is 12mL (milliliters) or 12cm³ (cubic centimeters).
Learn more: https://brainly.com/question/22236354
Two swimmers relax close together on air mattresses in a pool. One swimmer’s mass is 48 kg, and the other’s mass is 55 kg. If the swimmers push away from each other,
A. their total momentum triples.
B. their momentums are equal but opposite.
C. their total momentum doubles.
D. their total momentum decreases.
In the case when the swimmer push away so the momentum should be equal but it should be opposite.
What is momentum?Momentum means the product of the mass of a particle and its velocity. It is a vector quantity, it applied to both magnitude and direction. Since the swimmers are push away so here the momentum should be equal but it should be an inverse direction, not the direct direction.
learn more about momentum here: https://brainly.com/question/24717686
5. A chemist observes that the iron fence outside his home has changed color and texture over time. Which would be a testable scientific question the scientist could ask? (2.5 Points) What will my neighbors think of me if I do not replace the fence? What could I have done to prevent the fence from changing color and texture? Will my friends think the fence is ugly? Which looks better, an iron fence or a wooden fence?
Answer:
What could have possibly turned the iron fence into a different texture and color. What chemical reaction has taken place in order to change the texture and color of the iron fence? If you live in a wealthy neighborhood, then chances are, they might think it looks lazy. Weather, Rainstorms, and high humidity cause iron fences to rust. You can probably repaint the fence a different color. As long as your friends aren't harsh with you, I don't think they'll think it's ugly. I would prefer a wooden fence and then repaint it from there.
Explanation:
I hope this helps :)
please help!!
There are more electrons in the orbitals of an atom that there are protons in the nucleus of the atom true or false
Answer:
An element is a pure substance that contains only one type of atom. TRUE. 2. ... FALSE, they are all carbon atoms. 7. The smallest unit of matter is an atom. TRUE. 8. When an ... TRUE. 10. Most of the mass of an atom is found in the electron layers. FALSE. 11. The nucleus of an atom contains protons and neutrons. TRUE ...
Explanation:
Processes such as dissolving, melting, freezing, and evaporationg can affect the appearance of a substance, but the identity of the substance remains the same. These processes are called
A. physical properties
B. chemical change
C. chemical process
D. physical change
HELPPPP!!!!!
The air we breathe is a(n) _____.
A. compound
B. mixture
C. element
D. alloy
What is the force that causes you t land on the floor when you fall out of bed?
Answer: gravity.
Explanation:
Answer:gravity
Explanation:
HELPPPPPP!!
For an object to float, the mass of the water displaced must __________ the mass of the object.
A. equal
B. be less than
C. lessen
D. be greater than
A 100 kg steel beam is being lifted by a crane to the top of 15 meter building. How much Potential Energy is in the steel be a m when it reaches the top of the building.
as a car skids to a stop, friction transforms kinetic energy to
Answer:
potential energy
Explanation:
which of the following objects is accelerating? A.) A car driving in a circle at a constant speed of 35 mph B.) A car driving in a northwest at a constant speed of 35 mph C.) A car driving south at a constant speed of 45 mph D.) A car driving southwest at a constant speed of 35 mph
Answer:
A
Explanation:
Acceleration and velocity are vector quantities so they have a magnitude and direction. If the car is travelling in a circle it is constantly changing its direction therefore it is acclerating.
When A car driving in a circle at a constant speed of 35 mph then car is accelerating.
Option A is correct.
Scalar quantity A quantity which have only magnitude.
Vector quantity A quantity which have both magnitude and direction.
Acceleration and velocity both are vector quantities so they have a magnitude and direction. When the car is travelling in a circle it is constantly changing its direction.Hence, when A car driving in a circle at a constant speed of 35 mph then car is accelerating.
Learn more:
https://brainly.com/question/18320098
a body at rest in one reference frame may be in motion in another reference frame what does it mean?
Answer:
Explanation:
Suppose you are standing on a platform connected to a train station. You appear to be at rest to a third person looking at you from the parking lot.
But what happens if you are observed by someone in the dining car of the train that just passed you?
You appear to be moving. He can prove it because your relative size is getting smaller. How does he know that it is he that is moving and that you are standing still? If he has no idea what's going on with his motion, he also has no idea who is moving.
Use the information below to solve this problem: A B note has a frequency of 493.88 Hz. Calculate its wavelength in meters. Question 2 options: 0.6945 m 0.7204 m 1.439 m 343 m
Answer:
Option (1). 0.6945 m
Explanation:
Frequency of a B note = 493.88 Hz
Speed of sound in the air = 343 meters per second
Since, formula to calculate the wavelength of a note is,
λ = [tex]\frac{v}{f}[/tex]
By substituting the given values in the formula,
λ = [tex]\frac{343}{493.88}[/tex]
λ = 0.6945 m
Therefore, wavelength of the music note is 0.6945 m.
Option (1) will be the answer.
What is the acceleration of a 25 kg object when a 200 N force is applied to it?
Answer: 8
Explanation: 200/25=8
PLEASE HELP ME WILL GIVE BRAINLIEST
The horizontal and vertical components of a projectile's velocity are......
A. always changing
B. independent of each other
C. dependent on each other
D. always equal
Answer:
A.always changing
Explanation:
Answer:
always equal
The horizontal and vertical components of a projectile's velocity is always equal. The horizontal and vertical have different charges.
which statement is an example of the law of conservation of energy
Answer:
The law of conservation of energy can be seen in these everyday examples of energy transference: Water can produce electricity. Water falls from the sky, converting potential energy to kinetic energy. This energy is then used to rotate the turbine of a generator to produce electricity.
Explanation:
Answer:
When a light bulb is turned on, electrical energy is converted to light and heat.
Explanation:
got it right :)
x = 20
v = 3.5 m/s
t = ?
Answer:
16.5 I think
Explanation:
A bus covers 200m in 5 second.Calculate its speed.
PLEASE HELP!!!!! 30 POINTS!!!!! I HAVE NO IDEA HOW TO DO THIS!!
Match these items and the phrases with which they are associated.
1. upward force of a liquid on an object
2. H 2 O
3. basic unit of matter
4. amount of matter in an object
5. n = 1
6. l × w × h
7. drew first picture of atom
8. mass/volume
mass,
atom,
water,
buoyancy,
inner shell,
volume,
density,
Neils Bohr,
concrete
PLEASE HELP ASAP!!
Coach Wilkins drops a football from the top of the home bleachers at Tiger Stadium. If the stadium is 40.6 meters tall, how long did it take the ball to fall?
Which type of particle is the basic building block of matter?
O A. Molecule
O B. Atom
O C. Crystal
O
D. Droplet
SUBN
Answer:
B
Explanation:
The Atom
Atom is the basic building block of matter .
State Newton’s first law of motion in your own words.
Answer:
An object in motion will stay in motion until an outside force is acted upon it.An object at rest will stay at rest until an outside force acts upon it.
Explanation:
Answer:
An object in motion will stay in motion until an outside force is acted upon it. An object at rest will stay at rest until an outside force acts upon it.
Explanation:
I really need help with this question, I can't wrap my brain around this.
region 4: warm, low pressure air
region 1: higher pressure air fills vacancy from low pressure air
region 3; cool high pressure air
region 2: warm air cools and increases in pressure.
Which of the following was/were used by the Greek philosophers in
order to understand the world?
a Observation
b Experiment
C Reason
d All of the above
Need help
Answer:
a and c are both correct
Explanation:
The Greek Philosophers had to reject many existing explanations (mostly from the babylonians and the egyptians) because of possible religion bias. They resorted to logic and reason to provide understanding for the world around them. The first set of Greek Philosophers were the Milesian thinkers; whom aside from logic and reason also placed value on Observation in understanding the world.
There are generally no evidence to support the use of experiment to support the claims of the Greek philosophers
The answer is reason C (reason).
The point on the graph that lies on the y-axis (vertical axis) is called the y-intercept. What does the y-intercept tell you about the runner? ( look at photo)
the ending position of the runner
Choices:
the runners distance from the state
the starting position of the runner
the runners speed
Answer:
The starting position of the runner.
Explanation:
When you look at the graph, you can see that the first point on the graph is twenty on the y-axis.
The runner starts at twenty, and ends at thirty.
Therefore, the runner starts at twenty on the y-axis, so it's the starting position of the runner.
The y-intercept tell you about the starting position of the runner.
What is y-intercept of a function?The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.
Assume that we've got: y = f(x)
At y-axis, we've got x = 0, so putting it will give us the y-intercept.
Thus, y-intercept of y = f(x) is y = f(0)
When we look at the graph, we can see that the first point on the graph is twenty on the y-axis.
The runner starts at twenty and ends at thirty.
Thus, the runner starts at twenty on the y-axis, so it is the starting position of the runner.
The y-intercept tell you about the starting position of the runner.
Learn more about y-intercept here:
https://brainly.com/question/16540065
#SPJ2
