1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stellarik [79]
3 years ago
9

Let U = {5, 10, 15, 20, 25, 30, 35, 40, 45, 50} A = {5, 10, 15, 20, 25} B = {25, 30, 35, 40, 45} C = {10, 20, 30, 40, 50} Find A

∪B
Mathematics
1 answer:
Dima020 [189]3 years ago
6 0

Answer:

A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}

Step-by-step explanation:

A = {5, 10, 15, 20, 25}

B = {25, 30, 35, 40, 45}

Find A∪B

There are 5 elements in set A

There are 5 elements in set B

A∪B is the combination of all the elements in set A and set B without repeating any

A∪B = {5, 10, 15, 20, 25, 30, 35, 40, 45}

A∪B has 9 elements in it

A ⋂ B = {25}

You might be interested in
How does a digit in the ten thousands place compare to a digit in the thousands place
Brilliant_brown [7]
It is 10x the value of the one in the thousands place
8 0
3 years ago
Does the frequency distribution appear to have a normal distribution using a strict interpretation of the relevant​ criteria?Tem
Xelga [282]

Answer:

B. No, this distribution does not appear to be normal

Step-by-step explanation:

Hello!

To observe what shape the data takes, it is best to make a graph. For me, the best type of graph is a histogram.

The first step to take is to calculate the classmark`for each of the given temperature intervals. Each class mark will be the midpoint of each bar.

As you can see in the graphic (2nd attachment) there are no values of frequency for the interval [40-44] and the rest of the data show asymmetry skewed to the left. Just because one of the intervals doesn't have an observed frequency is enough to say that these values do not meet the requirements to have a normal distribution.

The answer is B.

I hope it helps!

3 0
3 years ago
What is the area of a triangle with a base of 50 feet and a height of 75 feet’
inysia [295]

Answer:

The correct answer is,

the area of given triangle = 1875 square feet

Step-by-step explanation:

Formula:

Area of triangle = bh/2

b - Base and h - height

It is given that,a triangle with a base of 50 feet and a height of 75 feet’

<u>To find the area of triangle</u>

base b = 50 feet and height h = 75 feet

Area = bh/2 = (50 x 75 )/2

Area = 3750/2 = 1875 square feet

Therefore the area of given triangle = 1875 square feet

8 0
3 years ago
Read 2 more answers
Kryptonite is a material found on the planet Krypton and has various effects, most importantly on Superman. The most common type
Rashid [163]

Answer:

The maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

Step-by-step explanation:

dy/dt = y(1/t - k)

separating the variables, we have

dy/y = (1/t - k)dt

dy/y = dt/t - kdt

integrating both sides, we have

∫dy/y = ∫dt/t - ∫kdt

㏑y = ㏑t - kt + C

㏑y - ㏑t = -kt + C

㏑(y/t) = -kt + C

taking exponents of both sides, we have

\frac{y}{t} = e^{-kt + C}  \\\frac{y}{t} = e^{-kt}e^{C} \\\frac{y}{t} = Ae^{-kt}   (A = e^{C})\\y = Ate^{-kt}

when t = 1 hour, y = 15 grams. So,

y = Ate^{-kt}\\15 = A(1)e^{-kX1}\\15 = Ae^{-k}(1)

when t = 3 hours, y = 30 grams. So,

y = Ate^{-kt}\\30 = A(3)e^{-kX3}\\30 = 3Ae^{-3k} (2)

dividing (2) by (1), we have

\frac{30}{15}  = \frac{3Ae^{-3k}}{Ae^{-k}} \\2 = 3e^{-2k}\\\frac{2}{3} = e^{-2k}

taking natural logarithm of both sides, we have

-2k = ㏑(2/3)

-2k = -0.4055

k = -0.4055/-2

k = 0.203

From (1)

A = 15e^{k} \\A = 15e^{0.203} \\A = 15 X 1.225\\A = 18.36

Substituting A and k into y, we have

y = 18.36te^{-0.203t}

The maximum value of y is obtained when dy/dt = 0

dy/dt = y(1/t - k) = 0

y(1/t - k) = 0

Since y ≠ 0, (1/t - k) = 0.

So, 1/t = k

t = 1/k

So, the maximum value of y is obtained when t = 1/k = 1/0.203 = 4.93 hours

y = 18.36(1/0.203)e^{-0.203t}\\y = \frac{18.36}{0.203}e^{-0.203X1/0.203}\\y = 90.44e^{-1}\\y = 90.44 X 0.3679\\y = 33.27 g

<u>So the maximum amount of red kryptonite present is 33.27 g after 4.93 hours.</u>

3 0
3 years ago
team has a 75% chance to win each of the 3 games they will play this week. Clare simulates the week of games by putting 4 pieces
kaheart [24]

Answer: 88

Step-by-step explanation:

check google if its wrong :)

6 0
3 years ago
Other questions:
  • Helllppppppppppppppppp
    9·1 answer
  • 8(x-4)-10x simplify the equation
    9·1 answer
  • Aimee must add together the following numbers:3.50 + 4.00 + (−1.25) + (−7.50) + 5.25 + 2.00 As her first step, Aimee writes:(3.5
    10·2 answers
  • 36.00 divided by 54​
    14·2 answers
  • Solve for y. 15x -5y = 10<br>thank you.​
    13·2 answers
  • Solve for t. d= -16t^2 + 12
    14·1 answer
  • Topic: expressing one quantity as a percentage of the other... so my question is: 5 is what percent of 40 .. so 5/40 x 100 i wil
    14·1 answer
  • Which pair of triangles can be used to show that the slope of line a is the same anywhere along the line?
    11·1 answer
  • 25. SKETCHING Draw three noncollinear points J, K, and L.
    11·1 answer
  • Identify two fractions equivalent to 12/60.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!