Let the set be defined as follows. A= 5, 8, 34, 59, 73, 79,89. Find the total number of proper subsets of A. Find the total number of subsets of A.

Answers

Answer 1

Answer:

Step-by-step explanation: As we know the number of elements in set A are 7 and the formula to calculate the number of proper subsets is 2^n – 1

Therefore substituting the values in formula .  n is number of elements of set A. Here n=7

so 2^7-1= 128-1=127

Ans:127


Related Questions

Tom grew eight tomato plants with four seeds packets. How many seed packets does Tom need to have a total of 16 tomato plants?

Answers

Answer:

8 seed packets

Step-by-step explanation:

you just need to have half the amount of seed packets of the number of tomato plants grown

A survey of 64 informed voters in Kenya revealed the following information:

45 believe that Voting is a waste of time

49 believe that they have been abducted by space aliens

42 believe both of these things

REQUIRED

i). How many believe neither of these things?

ii). How many believe Voting is a waste of time but don't believe that they have been

abducted by space aliens?​

Answers

Answer:

i) 12 believe neither of these things.

ii) 3 believe voting is a waste of time but don't believe that they have been abducted by space aliens.

Step-by-step explanation:

I'm going to solve these question treating these events as Venn sets.

I am going to say that:

Event A: Voting is a waste of time.

Event B: They have been abducated by space aliens.

45 believe that Voting is a waste of time

This means that [tex]A = 45[/tex]

49 believe that they have been abducted by space aliens

This means that [tex]B = 49[/tex]

42 believe both of these things

This means that [tex]A \cap B = 42[/tex]

i). How many believe neither of these things?

Total of 64.

At least one is:

[tex]A \cup B = A + B - A \cap B[/tex]

With the values we have

[tex]A \cup B = 45 + 49 - 42 = 52[/tex]

None:

[tex]64 - 52 = 12[/tex]

12 believe neither of these things.

ii). How many believe Voting is a waste of time but don't believe that they have been abducted by space aliens?​

This is:

[tex]A - B = A - (A \cap B) = 45 - 42 = 3[/tex]

3 believe voting is a waste of time but don't believe that they have been abducted by space aliens.

Expand 4(8y-12)......​

Answers

Answer:

(4 * 8y) - (4 * 12)

Step-by-step explanation:

We have the equation 4(8y - 12) and are asked to expand, this equation can be solved through distribution, and to expand it, we need to separate the "4" to multiplying into "8y" and "-12"

Therefore :

(4 * 8y)(4 * -12)

Now this may seem correct, but we have to keep in mind that we are not multiplying both answers within the parenthesis but yet subtracting, therefore :

(4 * 8y) - (4 * 12)

Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it to
the Stanley Cup finals. As soon as a team wins 3 games, the championship is over.
The schedule for the playoffs (for home games) is: Jets - Leafs - Jets - Leafs - Jets
If the Jets are playing at home, there is a 60% chance they'll win. If they are playing on the road, there is
a 45% chance they'll win.
Find the probability that the Jets win the Stanley Cup. Round answers to at least 4 decimal places.
Can anyone help me. answer with full explanation. No links please

Answers

Answer:

There is a 54% chance that the Jets will win the Stanley Cup.

Step-by-step explanation:

Since two hockey teams, the Winnipeg Jets and the Toronto Maple Leafs, miraculously make it to the Stanley Cup finals, where as soon as a team wins 3 games, the championship is over, and the schedule for the playoffs for home games is: Jets - Leafs - Jets - Leafs - Jets; since if the Jets are playing at home, there is a 60% chance they'll win, while if they are playing on the road, there is a 45% chance they'll win, to find the probability that the Jets win the Stanley Cup the following calculation must be performed:

(0.60 + 0.45 + 0.60 + 0.45 + 0.60) / 5 = X

2.70 / 5 = X

0.54 = X

Thus, there is a 54% chance that the Jets will win the Stanley Cup.

The management of a department store is interested in estimating the difference between the mean credit purchases of customers using the store's credit card versus those customers using a national major credit card. You are given the following information. Assume the samples were selected randomly. Store's Card Major Credit Card Sample size 64 49 Sample mean $140 $125 Population standard deviation $10 $8 Refer to Exhibit 10-6. At 95% confidence, the margin of error is

Answers

Answer:

The margin of error is of $3.3124.

Step-by-step explanation:

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the mean, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Store's Card:

Sample of 64, mean of 140, standard deviation of 10, sample of 64, standard error of [tex]s = \frac{10}{\sqrt{64}} = 1.25[/tex]

Major Credit Card:

Sample of 39, mean of 125, Standard deviation of 8, Sample of 49, standard error of [tex]s = \frac{8}{\sqrt{49}} = 1.14[/tex]

Subtraction:

Mean: 140 - 125 = 15

Standard deviation:

[tex]\sigma = \sqrt{1.25^2+1.14^2} = 1.69[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = zs[/tex]

Then

[tex]M = 1.96*1.69 = 3.3124[/tex]

The margin of error is of $3.3124.

Help ASAP I’ll mark branlyest

Answers

Answer:

A) 45cm²

Step-by-step explanation:

area of triangle = 1/2×base ×height

therefore, 1/2×10×9

=45cm²

the answer is c, i assume

Step-by-step explanation:

I am not certain about this answer, but give it a go.

which two quadrilaterals have 4 congruent sides

Answers

Answer:

rhombus and parallelogram .

Step-by-step explanation:

It’s a rhombus and parallelogram.

Hope this helps! :)

Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

22.1

Step-by-step explanation:

Because of it being a pyramid we must use the equation Bh1/2

B = L + W  we assume that the base is a perfect square meaning all sides are the same length B = 4.8 + 4.8 = 9.6 then we multiply by the height

9.6 x 4.6 = 44.16 next you divide by 2 or multiply by .5  

44.16/2 = 22.08 then finally rounding to the nearest tenth

making 22.1 cubic inches

1. What is the median of the following numbers? 36,42,28, 52, 48, 36, 31
36
O 42
O 48

Answers

the answer is 36 pls mark me brainliest:)

Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vector space axioms that fails. C[0, 1], the set of all continuous functions defined on the interval [0, 1], with the standard operations

Answers

Answer:

It is a vector space

Step-by-step explanation:

The  set of all continuous functions C[0,1 ] defined on the interval [0,1] is a  vector space

as proven below ( attached below is a required proof that it is a vector space )

The set checks out for additivity, scalar multiplication and associativity hence it is a vector space

Is {(-3,0), (13,4), (6,3), (13,-4), (22,5)} a function? Please explain if possible

Answers

No this is not a function. A function is a set of inputs, x-values with a single output. Since 13 has two outputs, 4, and -4, this is not a function.

Vx
Which two figures have the same number of lateral faces?
O sphere and cylinder
O triangular prism and rectangular prism
O rectangular prism and cube
O triangular prism and cylinder

Answers

second one okay bye have a nice day

53 POINTS!!!!!!!!!!!!!

Answers

Y=1/3x-9 that’s the answer
X=36
y=45
I don’t know which way you want me to slice this problem

find the area of the kite

Answers

Answer:

396

Step-by-step explanation:

72 cm2

12x11/2=66

12x1/2=6

66+6=72

44% of all statistics classes require a statistical calculator and 27% require the use of a computer that has statistical software. Of the classes that require a statistical calculator, 15% also require the use of a computer. If a statistics course is selected at random find: (round to 4 decimal places where possible) a. P(Statistical Calculator) = Correct b. P(Statistical Software) = Correct c. P(Require a Statistical Calculator and Statistical Software) = d. P(Require a Statistical Calculator GIVEN Require Statistical Software) =

Answers

Answer:

I'm not exactly sure what this is asking, so i'm going to answer each part

A. 44%
B. 27%
C. 11.88% (assuming independence)

D. 61.36%

Step-by-step explanation:

Honestly I'm not really sure what he's asking but for A and B the answer is in the question. For C i assumed independence and multiplied the respective probabilities. For D I divided .27/.66 since it is a dependency probability

The probabilities of the events are

a. 0.44

b. 0.27

c. 0.1188

d. 0.2444.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Statistics classes require a statistical calculator = 44% = 0.44

Statistics classes require a computer that has statistical software = 27% = 0.27

Of the classes that require a statistical calculator, classes also require the use of a computer = 15% = 0.15

a. P(Statistical Calculator) = 0.44

b. P(Statistical Software) = 0.27

c. P(Require a Statistical Calculator and Statistical Software) = [tex](0.44)(0.27)[/tex]

⇒ [tex]0.1188[/tex]

d. P(Require a Statistical Calculator GIVEN Require Statistical Software)

⇒ [tex]\frac{0.066}{0.27}[/tex]

⇒ [tex]0.244[/tex]

Hence we can conclude that the probabilities of the events are

a. 0.44

b. 0.27

c. 0.1188

d. 0.2444.

Learn more about probability here

https://brainly.com/question/19130157

#SPJ2

The sum of a number and twice its reciprocal is
9/2. If the number is an integer, find the number.

Answers

Answer:

x + 2/x = 9/2

multiply through by x

x2 + 2 = (9/2)x

multiply through by 2

2x2 + 4 = 9x

2x2 - 9x + 4 = 0

We can factor by grouping.  2(4) = 8 ...

taken from coefficient of square term and the constant ...

Factors of 8 that add to -9 are (-8)(-1):

Replace -9x with -8x - x

2x2 - 8x - x + 4 = 0

(2x2 - 8x) - (x - 4) = 0

2x(x - 4) - (x-4) = 0

(2x-1)(x-4) = 0

2x-1 = 0 and x = 1/2

OR

x-4 = 0 and x = 4

Your two answers are {1/2, 4}

Please mark brainliest for further answer :)

pls answer quick Doug makes a parallelogram-shape sign for his shop.


What is the area of this parallelogram?


Round to the nearest hundredth.



5.32 ft²


8.96 ft²


14.28 ft²


17.02 ft²

Answers

Answer: 1.9x2.8 + 3.2+2.8 = 14.28

HOPE THIS HELPS

Evaluate the expression when c=6 and d=4. d+7c

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{d + 7c}\\\large\textsf{= 4 + 7(6)}\\\large\textsf{= 4 + 7 + 7 + 7 + 7 + 7 + 7}\\\large\textsf{= 4 + 14 + 14 + 14}\\\large\textsf{= 4 + 28 + 14}\\\large\textsf{= 4 + 42}\\\large\textsf{= 46}\\\\\large\textsf{Therefore, your answer should be: 46 }\large\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\frak{\star \ Amphitrite1040:) \ \heartsuit}[/tex]

What is an equivalent ratio to 3:4?

Answers

Answer:

12:16

Step-by-step explanation:

3 x 4 = 12

4 x 4 = 16

Answer:

6:8, 9:12, or 12: 16

Step-by-step explanation:

don't know how many you need but hope this helps! :))

please help me with this asap

Answers

A. 80% (of the 30 showing good behavior)
B. 20% (of the 30 showing good behavior)
C. 0% (of the 30 showing bad behavior)
D. 100% (of the 30 showing bad behavior)

This question is asking you to make to draw some conclusions yourself. Including the total number of students, and the assumption that all of the students with good or bad behavior are included in the table.

Please let me know if you have any questions.

The diameter of each circular hole in a paint palette is 42 millimeters.
Find the circumference of each hole. Use 3.14 as an approximation for .
A 128 millimeters
B 131.88 millimeters
C 120 millimeters
D 42 millimeters

Answers

Answer:

B

Step-by-step explanation:

The circumference is just diameter x π (3.14 in this case) so 42 x 3.14 = 131.88

Answer:

B

Step-by-step explanation:

the circumference of a circle is

2×pi×r

with r being the radius (half the diameter).

2r is then the diameter.

so, in our case the circumference is

42×pi = 42 × 3.14 = 131.88 mm

Use the graph of the function f to determine the given limit. f(x) x→ -3

Answers

Answer:

explanation is in a files

A sample of a radioactive isotope had an initial mass of 450 mg in the year 2005 and decays exponentially over time. A measurement in the year 2012 found that the sample's mass had decayed to 310 mg. What would be the expected mass of the sample in the year 2017, to the nearest whole number?

Answers

Answer: 238

Step-by-step explanation:

In the figure, Line a is parallel to line b. If angle 1 = 105º what is the measurement of angle 6?

Answers

Answer:

75

Step-by-step explanation:

angle 4 is 75 because it forms a linear pair with angle 1, and 6 is alternate interior with 4 which makes it equal

Mary wants her friend to guess how many cards she has in her hand. She says that if the number of cards in her hand is tripled, and 4 are added, then she has 22 cards.

Answers

Answer:

22 minus 4 = 18

18 divided by 3 is equal to 6

then following from the question now that we got the answer

so she have 6 cards first then it tripled and now it's 18 Then she added four now it's 22

your welcome

Answer:

6

Step-by-step explanation:

let x be the number of cards

3x + 4 = 22

3x = 18

x = 6

Please help asap Find the area of this circle. Use
3.14 for it.
108 in.
The area of the circle is about in.2.
(Round to the nearest hundredth as needed.)

Answers

Answer:

I know what the answer is if you be more clear. Is 108 the diameter?

Evaluate the expression : (4 x 5)2 – 6 + 3 II
help I'm doing a test online​

Answers

Answer:

8x5−3

Step-by-step explanation:

(4 x 5)2 - 6 + 3 = 397 , I’m pretty sure

I have to show work of how i get the values of x, y and z
x= -3
y=4
z=5​

Answers

Answer:

use symbolab, it helps explain your math problems step by step.

Step-by-step explanation:

Given: f(x) = x2 and g(x) = x +1, find g[f(-2)].
1
5
-3

Answers

Step-by-step explanation:

what number does the unknown stands for

Answer:

is 1

Step-by-step explanation:

(-2+1)^2 is 1

A cereal box has a length of 8 inches, a width of 2 inches and a height of 12 inches. What is the volume of the cereal box?

A. 96 in³

B. 192 in³

C. 48 in³

D. 22 in³

Answers

Answer:

192 in cubed

Step-by-step explanation:

Multiply 12*2= 24*8

Answer:

192 should be yyour answer

Step-by-step explanation:

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