Let (1=1,2,3, 4, 5, 6, 7, 8, 9, 10
The list of elements in the sets are as follows:
A. A ∩ B = {2, 9}
B. B ∩ C = {2, 3}
C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D. B ∪ C = {2, 3, 5, 7, 9, 10}
How to find the elements in a set?Set are defined as the collection of objects whose elements are fixed and can not be changed.
Therefore,
universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 7, 8, 9}
B = {2, 3, 5, 9}
C = {2, 3, 7, 10}
Therefore,
A.
A ∩ B = {2, 9}
B.
B ∩ C = {2, 3}
C.
A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}
D.
B ∪ C = {2, 3, 5, 7, 9, 10}
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Find the midpoint of (-1, 5) and (2,-3)
Answer:
(0.5,1)
Step-by-step explanation:
The midpoint formula is \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)
Let's do x first
-1+2=1
1 ÷2=0.5
y
5+-3=2
2÷2=1
(0.5,1)
Hope this helps :-)
What is Three-fourths divided by one-half?
A fraction bar labeled 1. Under the 1 are 4 boxes containing one-fourth. Under the 4 boxes are 2 boxes containing one-half.
Two-thirds
1 and one-fourth
1 and one-half
3
Answer:
i think option D
Step-by-step explanation:
Answer:
1 and one-half
Step-by-step explanation:
\( \huge \frac{3}{4} \div \frac{1}{2} \\ \\ \huge = \frac{3}{4} \times \frac{2}{1} \\ \\ \huge = \frac{3}{2} \\ \\ \huge = 1 \frac{1}{2} \)
A club of 10 people wants to choose an executive board consisting of president, secretary, treasurer, and three other officers. In how many ways can this be done
Answer:
The number of ways = 151200
Step-by-step explanation:
Below is the calculation of the number of ways:
Total number of people = 10
Total number of posts = 6
The number of ways = 10P6
The number of ways = \(\frac{10!}{10! - 6!}\)
The number of ways = 10 x 9 x 8 x 7 x 6 x 5
The number of ways = 151200
Today Olivia is carrying her history textbook and her lunch in her backpack. If the history textbook weighs 1/2 of a pound and her lunch weighs 2/3 of a pound, how much weight is in Olivia's backpack?
Weight is in Olivia's backpack is 5/6 pound.
As in the given problem olivia's history book weights 1/2 of a pound and
her lunch weighs 2/3 of a pound.
As both the units are same,
Thus total weight must be summation of both history book and her lunch box.
total weight is =1/2 +2/3 pound
= (3+2)/6
that is equal to 5/6 pound.
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I need help please help anyone
Answer:
A = 35 degrees
Step-by-step explanation:
70 + 75 + A = 180
145 + A = 180
A = 35
A genetic experiment with peas resulted in one sample of offspring that consisted of 440 green peas and 155 yellow peas.
a. Construct a 95% confidence interval to estimate of the percentage of yellow peas.
b. Based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow?
The 95 percent confidence interval is (0.20, 0.32).
a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:
Let p = proportion of yellow peas = 155/595 = 0.26
Sample size = n = 595
Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03
95% confidence interval = p ± 1.96 × SE
= 0.26 ± 1.96 × 0.03
= 0.26 ± 0.06
So, the 95% confidence interval is (0.20, 0.32).
b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.
Therefore, the 95 percent confidence interval is (0.20, 0.32).
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A triangular prism is 18 centimeters long and has a triangular face with a base of 12 centimeters and a height of 8 centimeters. The other two sides of the triangle are each 10 centimeters.
What is the surface area of the triangular prism?
Answer:
672 sq cm
Step-by-step explanation:
Each triangular base is 1/2 (12 * 8) or 48, making them = 96.
One of the sides is 12 x 18 = 216
The other 2 sides are 10 x 18 = 180 x 2 = 360
Add them all together to get 672 sq cm
Find all of square roots of 36i and write the answers in rectangular (standard) form
5. Joel sells cotton candy at the Magic games
for $4 per bag. He also sells peanuts at the
games for $2.50 per bag. One day he sold
160 bags and collected $460. How many of
each item did he sell?
The number of peanuts sold is 140 and the number o cotton candies sold is 40.
Two equations that can be used to solve the equation
$4c + $2.5p = $460 equation 1
c + p = 160 equation 2
Where:
c = cotton candy
p = peanuts
How many peanuts did he sell?
Multiply equation 2 by 4
4c + 4p = 640 equation 3
Subtract equation 1 from equation 3
$1.50p = 180
p = 120
How many cotton candies did he sell?120 + c = 160
c = 160 - 120
c= 40
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huma has 4 bags of square inch tiles with 6 in each bag she uses them to meaure the area of a rectangle on her homework. ahter covering the rectangle huma has 4 tiles left what is the ares of the rectangle
Answer:
20 square inches
Step-by-step explanation:
No. of bags Huma has : 4
No. of tiles in one bag: 6
Total no . of tiles in 4 bag = 4 * No. of tiles in one bag
= 4*6 = 24
No of tiles left with huma = 4
Let x be the no of tiles used to cover rectangle
Hence,
sum of no. of tiles left with huma and no of tiles used to cover rectangle should be equal to Total no . of tiles in 4 bag
mathematically
no. of tiles left with huma(4) + no of tiles used to cover rectangle (x) = Total no . of tiles in 4 bag (24)
4 + x = 24
subtracting 4 from both sides
4 + x -4 = 24 - 4
=> x = 20
Thus, 20 square inches tiles are used to cover the rectangle.
This means that area of rectangle is 20 square inches .
Which line segment has the same measure as ST?
RX
TX
SR
XS
Answer:
The answer is Line Segment SR.
Felipe uploaded a funny viedo of his dog. The relationship between the elapsed time in days, d , since the viedo was first uploaded and the total number of views, v , that the viedo received is modeled by v=4^1.25d . Find the number of days it took Felipe's viedo to get 1024 views.
The number of days took to get the video of Felipe 1024 views is 4.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,
v = 4^(1.25d)
We have to find d when v = 1024
1024 = 4^(1.25d)
We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ
1024 = \((4^{1.25} )^d\)
1024 = (5.6569)^d
Taking logarithms on both sides,
㏒ (1024) = ㏒ [(5.6569)^d]
We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)
㏒ (1024) = d ㏒ (5.6569)
d = ㏒ (1024) / ㏒ (5.6569)
d = 4
Hence it took 4 days to for Felipe's video to get 1024 views.
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Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
Question in the pic, please explain your answer
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
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What is the value of x?
Answer:
x = 2
Step-By-Step Explanation:
It is really easy to see that the angle on the left side is almost equal to 90° (Right Angle) but is a bit less.
35 × 1 + 3 = 38 F It is too less than 90°
35 × 2 + 3 = 73 T It is closer and less than 90°
35 × 3 + 3 = 108 F It is close but more than 90°
35 × 4 + 3 = 143 F It is too much more than 90°
So,
x = 2
Double Checking
(180° - (35° × 2 + 3)) + (2 + 39°) + (3 + 30°)
= (180° - 73°) + 41° + 32°
= 107° + 41° + 32°
= 180°
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4. **Suzie makes a purchase of $160 and is charged 7.85% for sales tax. What is the total cost of the purchase if Suzie charges it on a credit
card with a daily interest rate of 0.042% and pays the balance off at the end of 30 days? Round to the nearest cent
Hint: 1st, calculate the total cost of the purchase, which includes the sales tax. It is $160+($160 sales tax). Don't forget to change to
decimal before multiplying.
2nd, what will the interest per day be? You can find this by multiplying 0.042% (change to decimal first) by the total cost of the purchase you
found in 1st step. Now multiply the interest you found by 30 days, and add it to the total cost of the purchase.
a. $172.56
b. $174.73
c. $190.77
d. $200.26
Answer:
First find the sales tax: $160 \times 0.0785 = $12.56.
Then add the sales tax to the price of the purchase to find the total cost: $160 + $12.56 = $172.56.
Next find the daily interest rate: $0.042\% = 0.00042$.
Then multiply the daily interest rate by the total cost to find the interest per day: $0.00042 \times $172.56 = $0.0725752$.
Finally, multiply the interest per day by 30 days to find the total interest and add it to the total cost to find the final answer: $0.0725752 \times 30 = $2.177256 + $172.56 = $174.737256 \approx $174.74.
So the answer is b.
Find the measure of the given angle.
Answer:
angle UWT=150 degrees
Step-by-step explanation:
angle UWT=360-80-130
angle UWT=150 degrees
Question 15
1 pts
Miranda wants to use a 15% off coupon on her $120 purchase at Macys.com. She is trying to
figure out how much she will save.
Which equation is the correct way to determine the accurate amount?
120 - 15% = x
120 - 15% = x
120 + 15% = x
120 + 15% = x
Question 16
2 pts
Answer:
120 - 15% × 120 = x
Step-by-step explanation:
All given answers are incorrect.
15% means 0.15
She is not subtracting 15% or 0.15 from 120.
She is subtracting 15% of 120 from 120.
The correct answer is
120 - 15% × 120 = x
What is the value of the digit in the number based on the location of the digit
Answer:
Do u have a photo??
Step-by-step explanation:
cuzz I do not know
using d=rt , where d=distance r=rate and t=time how fast is a jogger moving if she travels 5.7 miles in 1.3 hours? to the nearest tenth
Answer:
\(r=4.38\)
Step-by-step explanation:
Step 1: Arrange the equation so that you are calculating rate (divide both sides by t)
\(\frac{d}{t} = \frac{rt}{t}\)
\(t\) cancels out on the right side.
Step 2: Substitute in the numerals
\(r=\frac{d}{t}\)
\(r=\frac{5.7}{1.3}\)
Step 3: Divide
\(r=4.38\) \(mph\)
There's your answer!
Hope this helps you!
A pizza parlor offers 10 toppings. How many total pizzas are possible, with between zero and ten toppings (but not double toppings) allowed?
A video visual effects animator creates an animation by translating a logo using a coordinate
description. Write a rule for the translation of logo 1 to logo 2.
Answer:
2nd one have a good day ;)
Quadrilateral PQRS was translated 5 units to the right and 3 units up to createquadrilateral P'Q'R'S'. Which rule describes this transformation? (Look at the image for the answer options)
The transformation:
(x, y) → (x + a, y + b)
where a and b are some constants, translates the point (x, y) a units to the right, and b units up. Then, the transformation:
(x, y) → (x + 5, y + 3)
translates Quadrilateral PQRS 5 units to the right and 3 units up
a rectangular auditorium seats 2244 people. The number of seats in each row exceeds the number of rows by 7. Find the number of seats in each row
Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.
Find the number of seats in each row:
Here in the question it is given that,
a rectangular auditorium seats 2244 peoplenumber of seats in each row exceeds the number of rows by 7We have to find the number of seats in each row.
Let us assume that the number of seats in each row be x.
From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,
Number of seats in one row = Number of rows + 7
x = Number of rows + 7
⇒ Number of rows = x - 7
Total number of seats in the auditorium can be written as,
⇒ (Number of seats in one row)(Number of rows) = Total number of seats
(x)(x - 7) = 2244
x² - 7x = 2244
⇒ x² - 7x - 2244 = 0
By using quadratic formula we can find the root,
x = (-b ± √b² - 4ac)/2a
here in the question, a = 1, b = -7, c = -2244
√b² - 4ac = √(-7)² - 4(1)(-2244)
√b² - 4ac = √49 + 8976
√b² - 4ac = √9025
√b² - 4ac = 95
x = (-b ± √b² - 4ac)/2a
x = (7 ± 95)/2
x = 102/2 or x = -88/2
⇒ x = 51 or x = -44
Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.
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Wyatt was visiting three cities that lie on a coordinate grid at....
EXPLANATION
We first need to represent the coordinates in a graphing calculator:
We can get the distance from A to B by subtracting the x-axis coordinates:
distance AB= (4-(-4),5-5)
Subtracting numbers:
distance AB = (4-(-4),5-5)
distance AB = ( 8 ,0)
The first part is equivalent to 8 units.
Now, we can get the distance from B to C by applying the distance formula:
\(distance\text{ BC=}\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)Where (x_1,y_1) = (4,5) and (x_2,y_2) = (-3,-4)
Plugging in the values into the equation:
\(distance\text{ BC= }\sqrt{(-4-5)^2+(-3-4)^2}\)Subtracting numbers:
\(distance\text{ BC = }\sqrt{(-9)^2+(-7)^2}\)Computing the powers:
\(distance\text{ BC= }\sqrt{81+49}\)Adding numbers:
\(distance\text{ BC = }\sqrt{130}\)Simplifying:
\(distance\text{ BC = 11.40}\)The distance from B to C IS 11.40
Applying the same reasoning for the distance from C TO A give us distance CA=9.06
Adding all the distances:
AB + BC + CA = 8 + 11.4 + 9.06
Adding numbers:
= 28.46
Rounding to the nearest whole number:
Total distance= 28 miles
$576.188 rounded to the nearest hundredth I see
Answer:
$576.19
Step-by-step explanation:
Which equation has the correct sign on the product? O A. 52.2 = 104 B. (-4)(-9) = -36 O C. (-12)10 = 120 D. 90(-3) = 270
when you multiply different signs the result is negative and when you multiply equal signs the result is positive
so
A.right
B.wrong
C.wrong
D.wrong
Fill in the missing numbers to complete the pattern:
5.7, 6.2, 6.7,_____, ______, 8.2
Complete the statement below.
The expression
_____________illustrates the commutative property of multiplication.
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▹ Answer
3 × 4 = 4 × 3
▹ Step-by-Step Explanation
You can use any expression that shows the commutative property of multiplication. For example, 3 × 4 = 4 × 3
Hope this helps!
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