There is a deck of 70 flashcards and each card has a different number ranging from 1 to 70. Find the theoretical probability of the event when picking from a deck of flashcards. ​P(the number is even​) ​P(the number is even​)eqauls ​(Simplify your​ answer.)

Answers

Answer 1

Half the cards are even, 70/2 = 35 even cards.

The probability of picking an even card = 35/70, which reduces to 1/2

Answer 2

The theoretical probability of the event when picking from a deck of flashcards is [tex]\({\frac{35}{70}}\)[/tex].

To find the theoretical probability of picking an even number from a deck of 70 flashcards, we need to calculate the number of favorable outcomes (even numbers) and divide it by the total number of possible outcomes (all numbers from 1 to 70).

The total number of flashcards is 70, so there are 70 possible outcomes.

Since each card has a unique number from 1 to 70, there are 35 even numbers within this range (2, 4, 6, ..., 70). This is because the even numbers are every other number in the sequence from 1 to 70.

Therefore, the number of favorable outcomes (even numbers) is 35.

 The probability of picking an even number is the number of favorable outcomes divided by the total number of possible outcomes:

[tex]\[ P(\text{the number is even}) = \frac{\text{Number of even numbers}}{\text{Total number of flashcards}} \] \[ P(\text{the number is even}) = \frac{35}{70} \][/tex]

Therefore, the final answer, as requested, is [tex]\({\frac{35}{70}}\)[/tex].


Related Questions

Find each percent change. State whether % is increase or decrease.
Original: 20 members
New: 27 members

Answers

Answer: 35% increase

Step-by-step explanation: In order to calculate the percentage change you must first calculate the amount of change, and then divide it by the original number of members.

27 - 7 = 7 member increase

7/20 = .35

There was a 35% increase.

Find the surface area of the cone. Leave your answer in terms of A 70 cm^2 . B. 98 cm^2 C. 119 cm^2 D. 129 cm^2

Answers

Answer: OPTION C (119π cm²)

Step-by-step explanation:

Yon can use the following formula for calculate the surface area of a cone:

[tex]SA=rl\pi+r^2\pi[/tex]

Where r is the radius and l is the slant height.

Based on the figure shown attached, you have that:

[tex]r=7cm\\l=10cm[/tex]

Therefore, when you susbtitute these values into the formula shown above, you obtain that the surface area of the cone is:

[tex]SA=(7cm)(10cm)\pi+(7cm)^2\pi=119\pi[/tex]cm²

Answer:

The correct answer option is C. 119[tex]\pi^2[/tex]

Step-by-step explanation:

We are given the radius of the base of the cone and its height and we are to find its surface area.

We know that the surface area of the cone is given by: [tex]\pi rl +\pi r^2[/tex]

Substituting the given values in the above formula to get:

Surface area of cone = [tex] \pi \times 7 \times 10 + \pi \times 7^2 =[/tex] 119

Please help! I need this ASAP! Will give brainliest! Just 8 and 9 please show work

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

8) (10 x 15) / 2 = 75

(this is the area of the whole shape, including the non shaded part)

Now work out the area of the non shaded part:

(6 x 9) / 2 = 27

Subtract this area from the total area:

75 - 27 = 48

The area of the shaded part is 48 square yards

9) Find the area of the whole shape (including the non shaded parts)

13 x 7 = 91

Work out the areas of both non shaded regions:

4 x 3 = 12

2 x 1 = 2

Add these two values together:

12 + 2 = 14

Subtract this value from the total area:

91 - 14 = 77

The area of the shaded part is 77 cm^2

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Convert 3.5 yards to feet round answers to the nearest tenth

Answers

Answer:

The answer is B. 10.5 feet

Step-by-step explanation:

In every one yard there's three feet.

3.5 X 3 = 10.5

Hope this helps :)

If the points(1,2),(2,6),and (3,y) are on line L, then y =
A)6
B)8
C)10
D)12

Answers

Answer:

C

Step-by-step explanation:

If we're assuming the graph is linear, we can see that every 1 x value it goes up, the y value is upped by 4.

6+4=10

So therefore the value of y in (3,y) is 10.

Help!!!
Express in exponential form log4(x) = 3

A. 4^x = 3
B. 4^3 = x
C. 3^x = 4
D. 3^4 =x

Answers

ANSWER

The correct choice is B. 4³=x

EXPLANATION

The given logarithmic expression is

[tex] log_{4}(x) = 3[/tex]

We take antilogarithm of both sides to base 4.

[tex] {4}^{log_{4}(x)} = {4}^{3} [/tex]

This implies that,

[tex]x = {4}^{3} [/tex]

Answer:

B. 4³=x

Step-by-step explanation:

The log of  a number to a certain base is the exponent to the said base. therefore in the given expression, 4 becomes the base, 3 the exponent, and x the result.

So the base of the log is the base of the index while the index is the log.

Which point is the solution to the following system of equations?

x2 + y2 = 13
2x - y = 4

(3, 2)
(2, 3)
(-3, -2)
(-2, -3)

Answers

Answer:

Its the point (3, 2).

Step-by-step explanation:

x^2 + y^2 = 13

2x - y = 4

From  the second equation  y = 2x - 4 so substituting in first equation:

x^2 + (2x - 4)^2 = 13

x^2 + 4x^2 - 16x + 16 = 13

5x^2 - 16x + 3 = 0

(5x - 1 )(x - 3) = 0

x = 0.2, 3.

Substitute x = 3 in the second equation:

2(3) - y = 4

y = 6 - 4 = 2.

Which right circular cylinder has the greatest volume?



HELP FAST PLEASE I WILL GIVE BRAINLIEST

Answers

Answer:

A.) The red cylinder.

Step-by-step explanation:

For a cylinder:

V = (1/3)(pi)r^2h

Red:

V = (1/3)(pi)(2^2)(4) = 16pi/3

Blue:

V = (1/3)(pi)(1^1)(8) = 8pi/3

Since 16pi/3 is greater than 8pi/3, the red cylinder has a greater volume.

look at the table how are, 50, 75, and 100 related to 25?​

Answers

They are all divisible by 25.

One-fifth of the sum of q and 4

Answers

Answer:

.5/q+4

Step-by-step explanation:

might just use all of my 900 remaining points on my next random questions​

Answers

Answer:

do what you want

Step-by-step explanation:

Answer

Maybe you can ask a good question that can help you?

lin is shopping for a couch with her dad and hears him ask the salesperson how much is your commission the salesperson says that her commission is 5 1/2% of rhe selling price​

Answers

A. $27.23

B. $ 467.77

Complete Question goes thus

Lin is shopping for a couch with her dad and heard him ask the salesperson “how much is your commission?” The salesperson says that her commission is 5½% of the selling price.

A.How much commission will the salesperson earn by selling a couch for $495?

B.How much money will the store get from the sale of the couch?

Answer:

a. The total commission is $27.28

b. The store will get $468.72 from the sale of the couch

Step-by-step explanation:

a.

Commission can be referred to as the reward given by the company on goods for the employee to sell products in order to make more sales and more money.

Commission is calculated as follows:

Total commission = Total Sales * Commission Percentage

Given

Total Sales = $495

Commission Percentage = 5½%

Substitute in, the above values

Total Commission = $496 * 5½%

Total Commission = $496 * 5.5%

Total Commission = $496 * 0.055

Total Commission = $27.28

Hence, the total commission is calculated as $27.28

b. The amount remitted to the store is calculated as

Amount = Total Sales - Total Commission

Where Total Sales = $496

Total Commission = $27.28

Amount = $496 - $27.28

Amount = $468.72

Hence, the store will get $468.72 from the sale of the couch

PLEASE HELP!!! WILL GIVE BRANLIEST!

Answers

Answer:

65

Step-by-step explanation:

29+24+12=65

The answer is 65

Hope this helps : )

Need help ASAP!!!!!!

Answers

Answer:

Mean = 2.95

Median = 3

Step-by-step explanation:

The mean of the number of visits of 40 adults to the gym is

[tex]\dfrac{0\cdot 4+1\cdot 3+2\cdot 12+3\cdot 5+4\cdot 8+5\cdot 5+6\cdot 2+7\cdot 1}{40}=\\ \\=\dfrac{3+24+15+32+25+12+7}{40}=\dfrac{118}{40}=2.95[/tex]

The median of the data is the average number between 20th and 21th terms (because 40 is even number, so the middle term is the average between two middle terms).

20th term = 3 visits

21th term = 3 visits

Hence, median is 3 visits

What is the area of this figure?

A) 48 in2

B) 53 in2

C) 56 in2

D) 83 in2

Answers

That's correct is C, thanks

Answer:

the answer is C

Step-by-step explanation:

the equation x^2/121 + y^2/1. what points are the vertices of the eclipse

Answers

Answer:

[tex](-11,0)[/tex] and [tex](11,0)[/tex].

Step-by-step explanation:

The given ellipse has the equation:

[tex]\frac{x^2}{121}+\frac{y^2}{1}=1[/tex]

This can be rewritten as

[tex]\frac{x^2}{11^2}+\frac{y^2}{1^2}=1[/tex]

We compare this to the general equation of the ellipse:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

We have [tex]a=11[/tex] and [tex]b=1[/tex]

The vertices of this ellipse are at [tex](-a,0)[/tex] and [tex](+a,0)[/tex].

Therefore the vertices of this ellipse are at [tex](-11,0)[/tex] and [tex](11,0)[/tex].

The correct choice is A.

Can anybody help me please

Answers

Answer: (-4,0) (1,0) (4,0) (0,2)

The x intercepts are: (-4,0) (1,0) (4,0) and the y intercept is (0,2)

Step-by-step explanation:

The plotted points are intercepts of the graph. It is quite easy to tell what is what by looking at the graph intervals and knowing what is x and y.

Whats 39762863x756827549852??

Answers

3.00936e19 is the answer

Which rate is the fastest?
A ) 589 miles in 11 hours
B ) 360 miles in 7 hours
C ) 111 miles in 2 hours
D ) 283 miles in 5 hours

Answers

Answer:

d

Step-by-step explanation:

divide the miles by the time

283 divided by 5 is 56.6 which is the greatest so it is the fastest

How do I do this help
U get 43 points if u answer!!! Please

Answers

DOMAIN: -\infty \:<x<\infty    

RANGE: f(x) < or equal to 8

Step-by-step explanation:

Scoot has 9 t-shirts and 6 dress shirts in his wardrobe. What is the probability of selecting a dress shirt from his wardrobe?

Answers

9+6= 17 is the total number of shirts to choose from. Since theres 6 dress shirts, the answer is 6/17.

Step-by-step explanation:

He has 15 total shirts. 9+6. So P(Dress shirt) is  6/15 or 2/5 or 40 percent.

What is x????????????

Answers

Answer:

v = -20.48

Step-by-step explanation:

v/4 + 1 = -4.12

v/4 = -5.12

v = -20.48

1/10 of the trees will be oak,3/10 will be pine ,and 2/10 will be willow what is the whole number

Answers

Add everything up together it equals 6/10 in simplest form it would be 3/5

Marsha gave the cashier $20 to pay for 3 pairs of socks. The cashier gave her $5.03 in change. Each pair of socks cost the same amount.

What is the cost in dollars and cents for each pair of socks?

$8.34

$6.67

$4.99

$25.03

PLEASE HELP‼️ AND SHOW WORK‼️

Answers

Answer:

$4.99

Step-by-step explanation:

If she pays with $20 and recieves $5.03 in change, her total cost was 20 - 5.03 or $14.97. If each pair of socks is the same amount, 14.97 / 3 will give you the amount per each pair. 14.97 / 3 = $4.99

The cost in dollars and cents for each pair of socks is $4.99

The first step is to determine the total cost of the three pairs of socks

Total cost of the socks bought = amount paid - change received

$20 - $5.03 = $14.97

The second step is to determine the cost of each pair of socks

Cost of each pair of socks = total cost of socks / pairs bought

$14.97 / 3 = $4.99

A similar question was solved here: https://brainly.com/question/19823543?referrer=searchResults

Which is the graph of 3x-2y=6?

Answers

Answer:

the third graph

Step-by-step explanation:

put the equation into the app desmos and you'll see where the graph should be

hope this helps!!

Answer:

B

Step-by-step explanation:

For an easier way to see this problem, let's rearrange the given equation in slope-intercept form ([tex]y=mx+b[/tex]):

[tex]-2y=-3x+6[/tex]

[tex]y=\frac{3}{2}x-3[/tex]

We know in slope-intercept form, the [tex]b[/tex] in the equation is the y-intercept. By process of elemination, we can see that the only answer that crosses at [tex](0, -3)[/tex] is answer B.

A bicycle wheel has a diameter of 24inches.
what is the area of the wheel?

Answers

Answer:

[tex]\large\boxed{A=144\pi\ in^2\approx452.16\ in^2}[/tex]

Step-by-step explanation:

A diameter is two times longer than a radius. Therefore, if the diameter

d = 24in, then the radius r = (24in) : 2 = 12in.

The formula of an area of a circle:

[tex]A=\pi r^2[/tex]

Substitute:

[tex]A=\pi(12)^2=144\pi\ in^2[/tex]

[tex]\pi\approx3.14[/tex]

Then

[tex]A\approx(144)(3.14)=452.16\ in^2[/tex]

Final answer:

The area of a bicycle wheel with a diameter of 24 inches can be calculated using the formula A = πr² and is approximately 452.16 square inches.

Explanation:

To calculate the area of a bicycle wheel with a diameter of 24 inches, we first need to find the radius of the wheel. The radius is half of the diameter, so in this case, the radius is 12 inches. The formula to find the area of a circle is A = πr², where A is the area and r is the radius. Substituting the known radius into the formula, we find:

A = π * (12 inches)² = π * 144 inches² ≈ 3.14 * 144 inches² = 452.16 square inches

Therefore, the area of the bicycle wheel is approximately 452.16 square inches.

Who discovered or made quadratic inequalities?

Answers

I think the answer is Pythagoras and Euclid
Answer:

The quadratic formula was made by Muhammad al-khwarizmi.

Explanation:

A quadratic inequality is a function whose degree is 2 and where the y is not always exactly equal to the function. Al Khwarzmi created the quadratic equation but Pythagoras and Euclid created a general procedure to find solutions of the quadratic equation. The Greek mathematician Diophantus solved the quadratic equation in his work Arithmetica,  but giving only one root, even when both roots were positive.

Three-sevenths of a number is 21. Find the number.

Answers

Answer: 49

Step-by-step explanation:

HI :)

A confusing question but here's how I got my answer

1/7 is 21 divided by 3, which is 7

So now that we know what one seventh is we can multiply 7 by 7 and we get 49

Hope this helped :)

Evaluate the expression 3x+2y when x is equal to 4 and y is equal to 2.4​

Answers

Answer: 16.8

Step-by-step explanation:

Answer:

16.8

Step-by-step explanation:

3x + 2y

x = 4 and y = 2.4

//replace x and y with it's value and combine like terms.

3(4) + 2(2.4)

12  + 4.8

16.8

What is the product of any integer and -1

Answers

Answer:

The negative counterpart

Step-by-step explanation:

x * -1 = -x

For example, 3 * -1 = -3

Hope this helps.

Product of any integer and -1 is negative/positive integer.

For example:

2 • -1 = -2, but

-2 • -1 = 2.

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