answer.
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
Ronch [10]
2 years ago
5

Which of the following events are equal? (a) A = {1,3}; (b) B = {x | x is a number on a die }; (c) C = {x | x2 −4x +3=0 }; (d) D

= {x | x is the number of heads when six coins are tossed}.
Mathematics
1 answer:
rosijanka [135]2 years ago
5 0

Answer:

A and C

Step-by-step explanation:

To determine which events are equal, we explicitly define the elements in each set builder.

For event A

A={1.3}

for event B

B={x|x is a number on a die}

The possible numbers on a die are 1,2,3,4,5 and 6. Hence event B is computed as

B={1,2,3,4,5,6}

for event C

C=[x|x^{2}-4x+3]\\solving  x^{2}-4x+3\\x^{2}-4x+3=0\\x^{2}-3x-x+3=0\\x(x-3)-1(x-3)=0\\x=3 or x=1

Hence the set c is C={1,3}

and for the set D {x| x is the number of heads when six coins re tossed }

In the tossing a six coins it is possible not to have any head and it is possible to have head ranging from 1 to 6

Hence the set D can be expressed as

D={0,1,2,3,4,5,6}

In conclusion, when all the set are compared only set A and set C are equal

You might be interested in
Katie invested $33,750 at 11.17% compounded continuously.
ser-zykov [4K]

Answer:

Katie's account balance in 10 years will be $3,769,875

Step-by-step explanation:

you multiply the amount of money you invest by the percentage, and the amount of years.

EX: $33,750 × 11.17% × 10= $3,769,875

5 0
1 year ago
The probability that a radish seed will germinate is 0.7. a gardener plants seeds in batches of 11. find the standard deviation
den301095 [7]

To calculate for the standard deviation given the probability, we use the formula:

s = sqrt (n p q)

where s is standard deviation, n is number of samples = 11, p is probability of success = 0.7, q = 1 – p = 0.30

 

s = sqrt (11 * 0.7 * 0.3)

<span>s = 1.52</span>

3 0
1 year ago
Solve for the equation -2y+y-3 = 6
pashok25 [27]

Answer: y = -9

Step-by-step explanation:

(-2y) + y - 3 = 6

(-y) - 3 = 6

-y = 9

y = -9

7 0
2 years ago
Find the volume of the composite solid. Round to the nearest tenths. Radius:2 height:4
yKpoI14uk [10]

Answer:

60

Step-by-step explanation:

6 0
2 years ago
PLEASE HELP A pizza parlor sells 320 pizzas per night when they charge $9.00 per pizza. The owner believes increasing the price
Sonja [21]
1. $9.00+$0.15=$9.15
2. 320-4=316
6 0
2 years ago
Other questions:
  • Find the sum 112.1+ 1.2
    8·2 answers
  • A scientist measured the energy of a system and found that it was increasing. The data shown represent the energy taken every bi
    12·2 answers
  • In triangle ABC, m∠BAC = 50°. If m∠ACB = 30°, then the triangle is triangle. If m∠ABC = 40°, then the triangle is triangle. If t
    7·2 answers
  • The 200 students in a school band will attend awards dinner. A random survey of 25 of these students was conducted to determine
    13·1 answer
  • Suppose a number cube labeled from 1 to 6 is rolled and the spinner below is spun one time. What is the probability of rolling a
    9·1 answer
  • Jackson is three times as heavy as Andrew. If the sum of their weight is 360 pounds, find Andrews weight​
    14·2 answers
  • Is ½y=1 a linear equation ​
    6·1 answer
  • Each of three colored cups covers one of three objects. 1) The red cup is somewhere to the left of the white cup. 2) The coin is
    9·1 answer
  • Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " $ meter on each side. T
    8·1 answer
  • The first transformation for this composition is [________], and the second transformation is a translation down and to the righ
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!