Answer:
The sets E' and P' are not disjoint.
Step-by-step explanation:
Definition: Two sets are disjoint if their intersection is an empty set.
The sets are defined as follows.
[tex]\text{Universal Set}, U=\{n|n \in \mathbb{Z}^+\},$ where \mathbb{Z}^+$ is the set of positive integers.[/tex]
[tex]H=\{n|n \in \mathbb{N}| n>100\}\\T=\{n|n \in \mathbb{N}| n<900\}\\E=\{n|n \in \mathbb{N}| n$ is even$\}\\P=\{n|n \in \mathbb{N}| n$ is prime\}[/tex]
We are to determine if the sets E' and P' are disjoint.
E' and P' are the complements of E and P respectively.
Therefore:
[tex]E'=\{n|n \in \mathbb{N}| n$ is odd$\}\\P'=\{n|n \in \mathbb{N}| n$ is not prime\}[/tex]
The intersection
[tex]E' \cap P' =\{n|n \in \mathbb{N}| n$ is odd but not prime$\}[/tex]
Therefore, the sets E' and P' are not disjoint.
PLS HELP ASAP The following probability distribution table shows information collected from a survey of students regarding their grade level and the transportation they use to arrive at school. What is the probability that a randomly selected eighth grader takes the bus?
Answer:
44%
Step-by-step explanation:
For these types of problems, look at the totals. We know that there are 0.44 out of 1 eighth graders. Since it doesn't specify how the 8th grader is dropped off, we take 0.44 and divide it by 1 (the total). We get 0.44, but since it's most likely asking for percentages, multiply that by 100.
HELPPPPPPPPP ! In circle O, what is measure of Arc AE? A. 84 B. 96 C. 120 D. 168 BTW I HAVE MORE QUESTIONS UP IF YOU WANT TO HELP!!!!!1
Answer:
arc m AE = 120
Step-by-step explanation:
∠C = 1/2 (AE-BD)
We can fill most of that in with the info we were given:
36= 1/2(AE-48)
Multiply both sides by 2 to get
72 = AE - 48 so
AE = 120°
You decide to buy a 60 in plasma-screen TV. You borrow $4500 from the
electronics store at 1.9% per month simple interest, with no payments due for
2 years from the date of purchase.
How much will you owe on the loan after 15 months? Round your answer to
the nearest whole dollar.
Use the point-slope equation to identify the slope and the coordinates of a point
on the line y - 4 = (x - 1).
The slope of the line is
A point on the line is
Intro
Done
Answer:
The slope of the line is 1 A point on the line is (1, 4)Step-by-step explanation:
[tex]y-y_1=m(x-x_1)[/tex] - point-slope form of Equation of the Line
[tex]y - 4 = (x - 1)\implies\ \ m=1\,,\ x_1=1\,,\ y_1=4[/tex]
Answer:
M=1/2 AND 1/4
Step-by-step explanation:
Find the area of the regular polygon.
32
Answer: 45
Step-by-step explanation: that is correct
Hanna puts $4,383 in a savings account with an annual interest rate of 5.2 percent for 3 years. Into which variable should she substitute 4,383 in the simple interest formula I = p r t?
Answer:
p.
Step-by-step explanation:
I just took the quiz and got it correct.
Hope this helps! ^^
Answer:
p
Step-by-step explanation:
just took it
Please answer my question now in two minutes
the answer is 56 m.
since the triangles are congruent their corresponding angles are equal and ML is corresponding side of77°and its corresponding side value is 56 m so, the value of ML is also 56 m.
SOMEONE PLZZZ HELP ME WITH THIS QUESTION!! I'd be immensely grateful :/
Answer:
Step-by-step explanation:
First let's find the value of x :
We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2
the base is x the height is 2x Let A be the area : A= (2x*x)/2 =2x²/2 =x² so x²= 400 ⇒ x= 20≥ 0 because it's a distanceLet's find the hypotenuse :
The pythagorian theorem :
h²= x²+(2x)² h²= x²+ 4x²h²= 5x² x=20⇒ h²= 5*(20)²h²= 2000h= 20[tex]\sqrt{5}[/tex] ≥0 because it is a distancePeter makes a large amount of pink paint by mixing red and white paint in the ratio 2 : 3. Red paint costs £80 per 10 litres. White paint costs £5 per 10 litres. Peter sells his pink paint in 10-litre tins for £60 per tin. Calculate how much profit he makes for each tin he sells
Answer: £25
Step-by-step explanation:
Given the following :
pink paint production = mixing red and white paint in the ratio 2 : 3
Price of red paint = 80 per 10 Litre
Price of white paint = 5 per 10 Litre
Selling price of pink paint = £60 per 10 litre
Recall the ratio of red to white paint :
2 : 3 ; 2 +3 = 5
Therefore,
Amount of Red paint used:
= (2/5) × 10 ; 20/5 = 4,
Cost per Litre = 80 / 10 = £8
Cost of red paint = 4 × 8 = £32
Amount of white paints used:
= (3/5) × 10 ; 30/5 = 6
Cost per Litre = 5 / 10 = £0.5
Cost of white paint = 6 × 0.5 = £3
Total cost of production = £(32 + 3) = £35
Profit = selling price - product cost
Profit = £(60 - 35) = £25
Differentiate x^(-3)/3-2x^2-x^(-1)
Answer:
-2x^2
Step-by-step explanation:
Simplify
x^-1 - 2x^2 - x^-1
becomes
-2x^2
PLEASE HELP ASAPPP ‼️‼️‼️‼️‼️
Answer:
See the attachment below.
Step-by-step explanation:
Best Regards!
An oblique cone has a radius of 5 units and a height of 9 units. What is the approximate volume of the oblique cone? Use π ≈ 3.14 and round to the nearest tenth. A)117.8 cubic units B)141.3 cubic units C)235.5 cubic units D)282.6 cubic units
Answer:
Option (C) 235.5 cubic units
Step-by-step explanation:
Data obtained from the question include:
Radius (r) = 5 units
Height (h) = 9 units
Pi (π) = 3.14
Volume (V) =..?
The formula for calculating the volume of an oblique cone is the same as the formula for calculating the right cone. The formula is given below:
V = 1/3πr²h
With the above formula, we can obtain the volume of the oblique cone as follow:
V = 1/3πr²h
V = 1/3 x 3.14 x 5² x 9
V = 3.14 x 25 x 3
V = 235.5 cubic units.
Therefore, the volume of the oblique cone is 235.5 cubic units.
solve for a 3a−(10+5a)=54
Answer:
a = -32
Step-by-step explanation:
3a−(10+5a)=54
Distribute the minus sign
3a−10-5a=54
Combine like terms
-2a -10 = 54
Add 10 to each side
-2a-10+10 = 54+10
-2a = 64
Divide by -2
-2a/-2 = 64/-2
a = -32
Answer:
a = -32
Step-by-step explanation:
3a - (10 + 5a) = 54
Distribute the negative sign as if it were -1.
3a - 10 - 5a = 54
Combine like terms on left side.
-2a - 10 = 54
Add 10 to both sides.
-2a = 64
Divide both sides by -2.
a = -32
in the function equation ff (xx ) = 1500 (1.43)^xx, is it growth or decay? what is the percent of the growth/decay? what is the initial value?
Answer:
The initial value is 1500
growth
43 % growth
Step-by-step explanation:
Exponential equations are in the form
y = a * b^x
a is the initial value
b is the growth or decay
b>1 is growth b-1 rate of growth
b <1 decay 1-b rate of decay
f(x) = 1500 * 1.43 ^x
The initial value is 1500
1.43 > 1 so it is growth
1- 1.43 = .43
Change to percent
43 % growth
What is the value of x in the equation 4x +8y=40, when y=0,8?
Answer:
x=8.4
Step-by-step explanation:
4x +8y=40
replace y as 0.8
4x+8*0.8=40
4x+6.4=40
subtract 6.4 from both sides
4x=33.6
divide by 4
x=8.4
Step-by-step explanation:
4x + 8y = 40
Simplify the equation
Divide all terms by 4
We have
x + 4y = 10
Make x the subject
x = 10 - 2y
When y = 0.8
Substitute the value of y into the equation
We have
x = 10 - 2(0.8)
x = 10 - 1.6
x = 8.4
Hope this helps you
A line is defined by the equation y = two-thirds x minus 6. The line passes through a point whose y-coordinate is 0. What is the x-coordinate of this point? A coordinate plane.
Answer:
9
Step-by-step explanation:
Put the given information into the equation and solve for x.
y = (2/3)x -6
0 = (2/3)x -6 . . . . . substitute for y
0 = x - 9 . . . . . . . . multiply by 3/2
9 = x . . . . . . . . . . . .add 9
The x-coordinate of the x-intercept point is 9.
Answer:
x=9
hope this helps :>
1. A bag contains 15 red balls and 6 blue balls. Find the probability of picking at random a blue ball from the bag.
2. A bag contains 6 white and 8 red balls. What is the probability that a ball picked at random will be a white ball ?
3. There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is
red ?
4. A bag contains 4 blue and 8 red balls. What is the probability of picking a blue ball at random from the bag?
5. A bag contains 6 blue and 5 black balls. Wihat is the probability of picking a black ball at random?
Answer:
1. 6/21
2. 6/14
3. 12/20
4. 4/12
5. 5/11
Step-by-step explanation:
color of ball your looking for/Total amount of balls
Probability for the situations given are 1. 6/21, 2. 3/7, 3. 3/5, 4. 1/3 and 5. 5/11.
What is Probability?Probability is the chance of getting an outcome for an event. Probability is calculated by dividing the number of likely outcomes by the total number of outcomes.
1. Number of red balls = 15
Number of blue balls = 6
Total number of balls = 15 + 6 = 21
Probability of getting a blue ball = 6/21
2. Number of white balls = 6
Number of red balls = 8
Total number of balls = 6 + 8 = 14
Probability of getting a white ball = 6/14 = 3/7
3. Number of red balls = 12
Number of blue balls = 8
Total number of balls = 20
Probability of getting a red ball = 12/20 = 3/5
4. Number of blue balls = 4
Number of red balls = 8
Total number of balls = 12
Probability of getting a blue ball = 4/12 = 1/3
5. Number of blue balls = 6
Number of black balls = 5
Total number of balls = 11
Probability of getting a black ball = 5/11
Hence the probabilities of selecting a ball at random in each case has been answered.
Learn more about Probability here :
https://brainly.com/question/30034780
#SPJ2
The graph of g(x) resembles the graph of f(x=x)^2, but it has been changed. Which of these is the equation of g(x)?
Answer:
A. g(x) + 3/5x^2 - 3
Step-by-step explanation:
Well we can tell that the parabola is wider than its parent function "y=x^2",
Meaning x is now a fraction or a decimal less than 1.
So we can eliminate choices B and D.
Also we can see that the y intercept is at -3 because thats where the parabola touches the y axis.
Thus,
the answer is choice A. [tex]g(x) + \frac{3}{5} x^2 - 3[/tex].
Hope this helps :)
Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?
Answer:
The number of times Abigail is faster on her skateboard than she is walking is 2 times faster
Step-by-step explanation:
Let the distance to Abigail's home = D
The distance Abigail had traveled before hr skateboard broke = 2/3·D
The distance from home where the skateboard broke = D - 2/3·D = 1/3·D
The time it took Abigail to walk the 1/3·D home = Twice the time it will take her if she was on her skateboard
Let the time it will take Abigail to travel the 1/3·D home on her skateboard = t
Therefore;
The time it took Abigail to walk the 1/3·D home = 2 × t
The speed of Abigail walking, [tex]s_w[/tex]= Distance/Time = 1/3·D/(2 × t) = D/(2·t)
The speed of Abigail skateboarding, [tex]s_s[/tex]= Distance/Time =D/t
The ratio of the speed of Abigail skateboarding to the speed of Abigail walking = [tex]\dfrac{s_s}{y_w} = \dfrac{\dfrac{D}{t} }{\dfrac{D}{2 \times t} } = \dfrac{D}{t} \times \dfrac{2 \times t}{D} = 2[/tex]
Therefore, Abigail is two times faster on her skateboard than she is walking.
plz help :( what is 10,000,000(20)^10 !?
Answer: 102,400,000,000,000,000,000
Step-by-step explanation:
First do 20^10 = 10,240,000,000,000.
Then, multiply 10,240,000,000,000 * 10,000,000 to get 102,400,000,000,000,000,000.
Hope it helps <3
Which is true about the domains and ranges of the functions f(x) = 1/8sqrt(x) and g(x) = 8sqrt(x)?
They have the same domain and range.
They have different domains and different ranges.
They have the same range but different domains.
They have the same domain but different ranges.
Answer:
They have the same domain and range.
Step-by-step explanation:
Since both are derived from the parent graph f(x) = √x, we know that the domain of the parent graph is [0, ∞) and the range is also [0, ∞). Since both graphs are only being modified by vertical stretch/shrink, they still have the same domain and range as the parent graph. Therefore, both graphs have the same domain and range.
Answer:
They have the same domain and range
Step-by-step explanation:
they're both in the first quadrant
can someone please help me solve
Answer:
b
Step-by-step explanation:
PLSSSSSSSSSSSSSSSSSSSSSSSSSS ANSWER THIS
Step-by-step explanation:
[tex](a.y^{3} +3y^{2} -3 ) = (ay^{2} +(4a+3)y +4(4a+3))(y-4) +64a+45[/tex]
so A = 64a +45
([tex]2y^{3} -5y+a =(2y^{2} +8y +27)(y-4) +108 +a[/tex]
so B = 108 +a
2A-B=0--> 2(64a+45)-108-a=0--> a =18/127
Which of these r-values represents the weakest correlation.
Answer:
-0.05
Step-by-step explanation:
Helppp!!!! please!!!
Answer:
A) 120 ft^2
Step-by-step explanation:
The total surface area is the sum of the areas of the 4 congruent triangular sides and the area of the square base.
TA = 4 * area of triangle + area of square
TA = 4 * bh/2 + s^2
TA = 4 * 6 ft * 7 ft/2 + (6 ft)^2
TA = 84 ft^2 + 36 ft^2
TA = 120 ft^2
Answer:
A) 120 ft^2
Step-by-step explanation:
Robyn saves up $204 and spends $32.50 on books. She wants to purchase more books from a sale where they cost $8.15 each. Which equation represents the situation? A. 204x=8.15+32.5 B. 8.15x+32.5=204 C. 8.15+32.5x=204 D. 32.5x=204⋅8.15
Answer: B
Step-by-step explanation:
If we assume the no. of books to be x.
Value of more books will be 8.15 x
The equation will be
8.15x + 32.5 = 204
Help with this pls, I am giving brainliest :D
Answer: 30 degrees
I think I got it correct
Explain the significance of the equation y = 50x + 20 which represents the hourly cost of a car repair.
The questions doesn't really specify much here is as much I can say.
Since 50 is the slope we can say that this is the hourly cost of a car repair (as stated in the question).
20 represents the y-intercept so this could represent the cost for the technician to look at whats wrong with the car.
Best of Luck!
In the image, point A marks the center of the circle. Which two lengths must form a ratio of 1:2?
A.
A F:AE
B.
BC:EF
C.
EF:AI
D.
AI:EF
E.
AI:AD
Answer: AI:EF
Step-by-step explanation:
Answer:
D. ) AI:EF
Step-by-step explanation:
PLATO
Can someone tell me the value of “b”?
I would appreciate the help! Thank you.