Answer:
(a) A and B are dependent.
(b) C and D are dependent.
(c) E and F are dependent.
Step-by-step explanation:
Two sets are said to be independent if the intersection of the two set is empty. That is the sets are disjoint.
Let's examine the situations to determine if they are independent or not.
(a) A = {2, 4, 6, . . . , 10, . . . , 20, . . .} and B = {5, 10, 15, . . . , 20, . . .}. Since A n B = {10, 20, . . .}, then the sets are dependent
(b) C = {10, 11, 12, . . . , 31, . . . , 62, . . . , 93, . . .} and D = {31, 62, 93}. Since C n D = {31, 62, 93}, then the sets are dependent.
(c) E = {5, 7, 11, . . .} and F = {5, 15, . . .}. Since E n F = {5}, then the set are dependent.
Thus
(a) A and B are dependent.
(b) C and D are dependent.
(c) E and F are dependent.
manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433.0 gram setting. It is believed that the machine is underfilling the bags. A 40 bag sample had a mean of 431.0 grams. A level of significance of 0.1 will be used. Is there sufficient evidence to support the claim that the bags are underfilled
Answer:
Since the calculated value of Z= -0.01871 does not lie in the critical region
Z ≥ Z∝ =± 1.28 we conclude that the null hypothesis is true and there is not sufficient evidence to support the claim that the bags are under filled.
Step-by-step explanation:
We formulate hypotheses as
H0: u < 433.0 against the claim Ha: u ≥ 433.0 ( one sided)
The significance level ∝= 0.1
Since the sample size n= 40 is greater then 30 z test is used.
Z = X`- u/ S/ √n
Z= 431.0- 433/ 676/√40
z= -2/106.8859
Z= -0.01871
The critical region is Z ≥ Z∝ =± 1.28 for one tailed test at alpha= 0.1
Since the calculated value of Z does not lie in the critical region we conclude that the null hypothesis is true and there is not sufficient evidence to support that the bags are under filled.
PLEASE HELP .?.!.??.!
Answer:
I would say Mai
Step-by-step explanation:
So if you do the math like i did you would get 2 answers 10 and 0 so all you would have to do then for your question is figure out the math and you should be good to go. Also to me Mai wrote it in the way i would write it out.
ANSWER FREE BRINLIEST!! ANSWER THE TWOO CIRCLED ONES!!
Answer:
alright for the first one you set them equal o each other while for the second you do the same thing
first one:8
second one:5
Step-by-step explanation:
24/3 is x and x=8
for the second one
18+12 is 30 and 30/6 is 5so the second one is 5'
if you want me to clarify more please comment
Answer:
this was a while ago so i am just putting this answer so u can give the other dude brinliest
Step-by-step explanation:
Which is true about the triangles’ perimeters?
2 triangles labeled Triangle A and Triangle B.
Triangle A has 3 sides, each labeled 9 kilometers.
Triangle B's base is labeled 15 kilometers. Its other 2 sides are each labeled 8 kilometers.
The perimeter of Triangle A is equal to the perimeter of Triangle B. The perimeter of Triangle A is 3 kilometers less than the perimeter of Triangle B. The perimeter of Triangle A is 4 kilometers less than the perimeter of Triangle B. The perimeter of Triangle A is 9 kilometers less than the perimeter of Triangle B.
Answer:
Step-by-step explanation:
let x be the common ratio / or scale factor
the sides of the triangle are
5x, 12x and 13x
sum of the sides defines perimeter
that is
5x + 12x + 13x = 15
30x = 15
x = 15/30
x = 0.5
The sides of the triangle are 0.5(5) = 2.5
0.5(12)=6
0.5(13) = 6.5
2.5, 6, 6.5 all in inches
Most people celebrating the new year will spend no more than $200. Write the amount that the average person will spend as an inequality, where X is the amount of personal spend.
Answer:
10
Step-by-step explanation:
What number makes the equation true?
Answer:
32
Step-by-step explanation:
the denominators are the same, so just add the two fractions on the right and subtract it from the answer on the left.
3500/7+210/7=3710/7
subtract 3710 from 3742
= 32
Is there a proportional relationship between number of sandwiches and the cost of the order? Explain how you know.
(In the picture are my answers so you guys can see them, but what I need to know is if they are proportional or not, and why.)
(20 points)
Answer:
CMER BOOOOOOOOOOOOOOOOOOOOOO
Step-by-step explanation:
If 3x + 7y = 12 and x-y= 1, then what is the value of 5x + 5y?
Answer:
14.
Step-by-step explanation:
3x + 7y = 12
x - y = 1 Multiply this by -3:
-3x + 3y = -3 Add this to equation 1:
0 + 10y = 9
so y = 9/10 = 0.9.
x - 0.9 = 1
x = 1.9.
So 5x + 5y = 5*1.9 + 5*0.9
= 14.
To ensure that the mass of an average grain of rock salt stays the same, what should you multiply the first factor 1.2 by so that 10 negative 2 becomes 10 negative 4
Answer:
Step-by-step explanation:
[tex]1.2 X 100=120.\\[/tex]
Answer:
The mass of an average grain of rock salt is 1.2 x 10^-2. In part A, you multiplied 10^-2 by 10^-2 to get 10^-4. So, multiply the first factor, 1.2 , by 10^2, or 100.
The first factor will then be 1.2 x 100 = 120.
Step-by-step explanation:
Edmentum answer
f(x) = 3r2 + 12x + 5
What is the value of the discriminant of f?
D
How many distinct real number zeros does
f(x) have?
Answer:
The value of the discriminant is 84.
i.e. b²- 4ac = 84
As
b²- 4ac > 0
Therefore, there are two distinct real number zeros.
Step-by-step explanation:
We know that the discriminant of the quadratic equation ax²+bx+c=0 is equal to b²- 4ac.
We also know that:
When b²- 4ac = 0 there is one real root.When b²- 4ac > 0 there are two real roots.When b²- 4ac < 0 there are two complex roots.We are given
f(x) = 3x² + 12x + 5
comparing with the quadratic function ax²+bx+c=0
a = 3, b = 12, c = 5
Discriminant = b²- 4ac
= (12)²-4(3)(5) ∵ a = 3, b = 12, c = 5
= 144 - 60
= 84
Thus, the value of the discriminant is: 84
As
b²- 4ac > 0
Therefore, there are two distinct real number zeros.
Solution of -9=6m+15
Answer:
[tex]m = - 4[/tex]
Step-by-step explanation:
1. subtract 15 from both sides.
[tex] - 9 - 15 = 6m[/tex]
2. Simplify -9-15 to -24.
[tex] - 24 = 6m[/tex]
3. Divide both sides by 6.
[tex] - \frac{24}{6} = m[/tex]
4. Simplify 24/6 to 4.
[tex] - 4 = m[/tex]
5. Switch sides.
[tex]m = - 4[/tex]
Therefor, the answer is , m = -4
3 cm 2 1/2 cm 2 1/2 cm
Answer: 18.75 cm
Step-by-step explanation:
I multiplyed 3 cm by 2 1/2 and 2 1/1 and got 18.75
70 POINTSSSS HELPPPP !
What is the area of the figure?
40 ft2
84 ft2
96 ft2
can't be determined
A train travels 120 miles in 3 hours. At this same rate, how many miles will it travel in 8 hours?
320 miles
500 miles
450 miles
400 miles
PLEASE HELP
8. There are 7 cars for every 5 trucks. If there are 21 cars, how
many trucks are there?
O a) 10
O b) 7
O c)15
O d) 62
Answer:
c)15
Step-by-step explanation:
21 divided by 7 is 3
5 times 3 is 15
Answer:
The answer is 15.
Step-by-step explanation:
that's the answer to me
Need help with all of these! (55 points!)
Answer:
Step-by-step explani belive you add it if it is improper then simplify hope it helps
Please answer it this question
Answer:
Step-by-step explanation:
A) 5/7
B) 12/8
c) 6/6
HELP PLEASE ASAP!! ILL GIVE BRAINLIEST IF YOU CAN HELP :)
Part 1: Answer the following questions (20 points)
1. Name and describe the components needed to make a complete circuit.
2. Compare and contrast a series and parallel circuit. Give at least one way that they are alike and one way that they are different.
3. Ohm's law is represented by the equation I = V/R. Explain how the current would change if the amount of resistance decreased and the voltage stayed the same.
4. Define resistance and describe what would happen to a light bulb if the voltage increased but the resistance stayed the same.
Part 2: Design your own circuit (40 points)
Design a circuit and draw a circuit diagram using the proper symbols. Your circuit must contain a battery, a light bulb (if you would like to substitute another item that uses electrical power you may), a switch, an ammeter, and a resistor. After you draw your circuit, complete the questions which ask you to describe the circuit that you have created. You may hand draw the circuit and scan or fax the worksheet to submit for grading. Or you may use a draw/paint program to create your circuit in the space provided.
Circuit Diagram:
Question 1: Is the circuit you created a parallel, series or a series/parallel circuit? Support your answer with a description of this type of circuit.
Question 2: What is the purpose of the resistor in your circuit?
Question 3: How does the switch work?
Question 4: Describe the path of the electric current through your circuit.
Question 5: Explain how your battery works. (You may want to look at the Electric Current lesson) What are some possible materials you could use to make your battery?
Answer: part 1
1. You need a Source of electric power (battery or generator), a load to absorb the power (lamp, motor, heating coil) and wiring to connect the load to the power source!
2. they both give off electricity energy, and they are different because they dont release the same amount of energy
3. Current will increase
Explanation:
In Ohm's law the equation for current is current = voltage / resistance.
In order to explain how current is effected when resistance decreases while voltage stays the same, lets represents the situations with some possible inputs.
Let's compare 3 different closed circuits all with a voltage of 10V.
In circuit 1, the resistance is 5 ohm.
In circuit 2, the resistance is 2 ohms.
In circuit 3, the resistance is 1 ohms.
The current of:
Circuit 1 = Voltage / Resistance = 10 V / 5 ohms = 2 Amps
Circuit 2 = Voltage / Resistance = 10V / 2 ohms = 5 Amps
Circuit 3 = Voltage / Resistance = 10V / 1ohm = 10 Amps
As you can see in this representation, as the resistance in a circuit increases while the voltage is constant, the total current is increased.
4. The resistance of a conductor is the ratio of the voltage
between its ends to the current through it.
If the voltage between the ends of a light bulb's filament
increases but the filament's resistance remains constant,
then the current through it increases by the same factor
as the voltage increase. The effect is to cause the light
to emit more light and heat ... both increase proportional
to the square of the voltage ... and possibly to "burn out".
Part 2
1. it's a circuit wherein all the elements are in parallel and a resistance is fitted in series across which a voltmeter is connected to measure potential drop acrossR so as to find the current across the load that is bulb which connected to in series with the resistor
2. A resistor is a passive two-terminal electrical component that implements electrical resistance as a circuit element. In electronic circuits, resistors are used to reduce current flow, adjust signal levels, to divide voltages, bias active elements, and terminate transmission lines, among other uses.
3. The switch simply opens (off) or closes (on) the connection between the two terminals on the switch. When the switch is on, current flows along the black wire through the switch to the light, and then returns to ground through the white wire to complete the circuit.
4. the current runs through the motherboard and into the smaller components or the small internal wiring
5. A battery is made up of three parts. The Cathode (positive end +) , the Anode (negative end -) and the electrolyte. The electrolyte allows electrical charges to travel between the cathode and anode. This chemical reactions creates the flow of electricity supplying the electrical voltage potential to power a circuit.
Typical materials of a battery are as follows
- Anode most often is made of zinc
- Manganese dioxide acting as Cathode.
- the electrolyte between and inside contains ions
Hope this help
To make a complete circuit, you need three basic components: a power source, such as a battery, a load, such as a light bulb, and a conductor, such as a wire, to connect the two.
What is an electric circuit?The electric circuit is a closed-loop or path that forms a network of electrical components, where electrons can flow.
To make a complete circuit, you need three basic components: a power source, such as a battery, a load, such as a light bulb, and a conductor, such as a wire, to connect the two.The power source provides the electrical energy that flows through the conductor to the load, which converts electrical energy into other forms of energy, such as light or heat.
A series circuit is a circuit in which the components are connected end-to-end so that the current flows through each component in turn.A parallel circuit is a circuit in which the components are connected across each other so that the current is divided among them.
One way that series and parallel circuits are alike is that they both require a complete path for the current to flow.
One way that they are different is that the total resistance in a series circuit is equal to the sum of the individual resistances, whereas, in a parallel circuit, the total resistance is less than the smallest individual resistance.
According to Ohm's law, the current in a circuit is directly proportional to the voltage and inversely proportional to the resistance.If the amount of resistance decreases and the voltage stays the same, the current will increase.
This is because a lower resistance allows more current to flow for a given voltage.
Resistance is the measure of how much a material opposes the flow of electrical current. It is measured in units of ohms.
If the voltage increases but the resistance stays the same, the current will also increase.
This is because according to Ohm's law, the current is directly proportional to the voltage and inversely proportional to the resistance.
Therefore, if the voltage increases, the current must also increase to maintain the same level of resistance. If the current exceeds the rating of the light bulb, it may burn out or even explode.
Learn more about electric circuits here:
https://brainly.com/question/29032441
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what do you call cheese that isn't yours?
A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lbs and each box of books weighs 50 lbs. The maximum capacity of the elevator is 1000 lbs. How many boxes of books can the delivery person bring up at one time? Note: The delivery person cannot bring up a partial/fraction of a box.
Answer:
16 boxes
Step-by-step explanation:
160+50x=1000
Solve for the x and you'll get 16.8. Now, because you can't have a fraction of a box, and you can't go over the limit, the answer is 16 boxes.
(How to solve for x:
Get x by itself by subtracting 160 to both sides.
50x=1000-160
50x=840
Divide both sides by 50.
x=16.8)
if the orginal quantity is 12 and the new qyantity is 15 what is the percent increase
Answer:
25% increase
Step-by-step explanation:
So I would set this up as a proportion
15 x
12 100
So begin by cross multiplying-
15 x 100 = 1500
And then divide
1500/12 = 125
Because 100% is the original, subtract that
Q5. Asif is 5 years younger than Qasim. Four years later, Qasim will be twice as old as
Asif. Find their present ages.
Answer:
Age of Qasim = 6 year
Age of Asif = 1 year
Step-by-step explanation:
Let :
Age of Qasim = x
Age of Asif = x -5
After 4 years there age will be:
Age of Qasim = x+4
Age of Asif = x-5+4 = x-1
We are given: Four years later, Qasim will be twice as old as Asif.
Age of Qasim = 2 (Age of Asif)
x+4=2(x-1)
x+4=2x-2
2x-x=4+2
x=6
So, We get x = 6
The present ages will be:
Age of Qasim = x = 6 year
Age of Asif = x -5 = 6-5 = 1 year
About 245 out of 500 students prefer walking instead of riding the bus to school. About what percent of the students prefer walking?
Answer:
49 percent
Step-by-step explanation:
So convert the fraction into a percentage
245/500= 49%
A speed skater covered 1,484 meters in 106 seconds. Find the unit rate of speed in meters per second. guys...please help me...I am confuzzled!!
In the class of 35 students, there are 5 more boys than the girls. How many boys are in the class
Answer:
20 boys
Step-by-step explanation:
by subtracting 5, the boys would be equal to the girls, so there are 15 girls. 15+5=20
50.) Find the value of b so that 330_b= 226_b+5
I will give brainiest to whoever answers correctly !!
Enter the decimal as a percent.
0.811
Answer:
0.00811%
Step-by-step explanation:
.811/100 = 0.00811%
Pls help me :'(
1) Solve the following system of equations by GRAPHING. Remember to check!
y = –x + 1
perimeter of the rectangle
Here is a rectangle:
7 cm
4 cm
1. What is the area of the rectangle?
2. What is the perimeter of the rectangle?
Answer:
The area is 28 cm squared.
The perimeter is 22 cm.
Step-by-step explanation:
To find the area, multiply one side length by the other.
7x4 = 28 cm^2
To find perimeter add the four sides of the rectangle.
7 + 7 + 4 + 4 = 22 cm
