Mathematics College

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
For a charity event, raffle tickets are printed such that they have a vowel (excluding ») as the first character and a
prime number less than 10 as the second digit. (Note that 1 is not a prime number.)
The probability that the winning ticket has the vowel contained in the word event and the digit is the number of
letters in the word event is 1/20 .
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Answers

Answer 1

Answer:

yes 1/20 is correct

Step-by-step explanation:

Answer 2

The probability that the winning ticket will have the letter e on it would be P=5%.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

For the probability of two independent events:

P(A and B) = P(A) P(B)

so we have to find the probability for each event to happen.

For a charity event, raffle tickets are printed such that they have a vowel (excluding ») as the first character and a prime number less than 10 as the second digit.

(Note that 1 is not a prime number.)

There are 5 vowels in the alphabet (a, e, i, o, and u).

Therefore the probability for the first letter to be e

P(A) = 1/5

We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7)

so the probability for the number to be a 5 is:

P(B) = 1/4

Now, the probability of getting a ticket that starts with an e and ends with a 5

P(A and B) = P(A) P(B)

= 1/4 x 1/5

= 1/20

Therefore, the probability is 5%.

Learn more about probability here;

https://brainly.com/question/11234923

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Related Questions

Which is the fraction for 0.21?

Answers

Answer:

21/100

Step-by-step explanation:

The fraction would be 21/100

jenna has a piece of paper that is 84 square inches in area. it is 10 1/2 inches long. what is the width of the piece of paper in square inches

Answers

Answer: the paper is 8 inches

Step-by-step explanation: I'm sure the answer is 8.

Do 84 divided by 10 and 1/2

3) When solving a one-step equation, we apply the inverse operation to the value on the _____ of the variable.

Answers

Answer:

To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are: Addition and subtraction. Multiplication and division.

Step-by-step explanation:

by it self.

A florist received a shipment of 16 dozen roses. The original order was for 20 dozen. What percent of the order did NOT arrive?

Answers

Answer:

20 percent

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Hope this helps :)

j - 2.5 = 93.9
What is the value of j?

Answers

Answer:

j = 96.4

Step-by-step explanation:

j - 2.5 = 93.9

j=93.9+2.5

j=96.4

Pls, help me with this problem. HELP!!!!! (it's not that hard I don't know why I am frecking out)

Answers

-3/4,-2/3,-5/12,1/3,1 1/4, 1 5/12 these are all in the correct order,

Answer:

Step-by-step explanation:

b/c fractions are confusing :D, put them all in 12th to make it easier

4/12, -8/12, -9/12, -5/12, 1 3/12, 1 5/12

now stick them in order

-9/12, -8/12, -5/12 , 4/12 , 1 3/12, 1 5/12

now put them back to reduced form

-3/4, -2/3, -5/12, 1/3 , 1 1/4, 1 5/12

:) better?

The expression x3(x−y)7−y3(x−y)7 can be rewritten as (x−y)m(x2+y2+nxy). What is the value of m ?

Answers

Answer:

m = 8

Step-by-step explanation:

Given the expression:

x³(x−y)⁷−y³(x−y)⁷

This can also be written as (x³-y³)(x-y)⁷

(x³-y³)(x-y)⁷= (x-y)⁷ (x³-y³)

Expand (x³-y³)

x³-y³ = (x-y)(x²+xy+y²)

Substitute back into the original expression:

(x-y)⁷ (x³-y³) = (x-y)⁷(x-y)(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+xy+y²)

(x-y)⁷ (x³-y³) = (x-y)⁸(x²+y²+xy)

Comparing the result with (x−y)^m(x^2+y^2+nxy).

(x-y)⁸ = (x-y)^m

m = 8

Also:

nxy = xy

n = xy/xy

n = 1

Hence the value of m is 8

The value of m is 8

The expression is given as:

[tex]x^3(x-y)^7-y^3(x-y)^7[/tex]

Factor out (x - y)^7 in the above expression

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x^3 - y^3)(x -y)^7[/tex]

Expand out (x^3 - y^3) as the difference of two cubes

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x-y)(x\²+xy+y\²)(x -y)^7[/tex]

Combine the common factors

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x\²+xy+y\²)(x -y)^8[/tex]

Rewrite the expression as:

[tex]x^3(x-y)^7-y^3(x-y)^7 = (x -y)^8(x\²+xy+y\²)[/tex]

The expression format is given as:

[tex](x-y)^m(x^2+y2^+nxy)[/tex]

So, we have:

[tex](x-y)^m(x^2+y2^+nxy) = (x -y)^8(x\²+xy+y\²)[/tex]

By comparison, we have:

[tex]m = 8[/tex]

Hence, the value of m is 8

Answers

Answer:

Hope this helps!

Step-by-step explanation:

One gram of fat has 9 calories. A one-ounce slice of
American cheese has 9 grams of fat. The slice has a total
of 110 calories. What percent of the calories in the cheese
is from fat? Round to the nearest whole percent.

Answers

9 grams of fat is 81 calories, and 81/110 is .736, so it would be 74%

hey any help is appreciated

Answers

Answer:

a positive querlashon the lower they studied the lower grade they got

Step-by-step explanation:

Please help....... its easy

Answers

Answer:

It would start 2 squares across the line.

Step-by-step explanation:

hope this helps

have a great day!

please mark brainliest.

while I cannot flip it for you, you basically just have to see how many spaces each point is from the line, and then put the same letter on the other side and connect the shapes. Hope this helped!

Gabe deposits $2,500 into each of two savings accounts.

Account ONE earns 4% annual simple interest.
Account TWO earns 4.5% interest compounded annually.
What is the sum of the balances of Accounts ONE and TWO at the end of 3 years?

Answers

Answer:

637.5 I think it's right

Step-by-step explanation:

2,500x.04=100x3=300

2,500x.045=112.5x3=337.5

300+337.5=637.5 interest

2,500x2+637.5=5,637.5

Answer:

$5,612.16

Step-by-step explanation:

Part 1) Account I earns 4% annual simple interest.

we know that

The simple interest formula is equal to A = P (1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have:

t = 3 years

P = $2,500

r = 4% = 4/100 = 0.04

substitute in the formula above

A = 2,500 (1 + 0.04 * 3)

A = 2,500 (1.12)

A = $2,800

Part 2) Account II earns 4% interest compounded annually.

we know that

The compound interest formula is equal to: A = P (1 + r/n)nt

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

t = 3 years

P = $2,500

r = 4% = 4/100 = 0.04

n = 1

substitute in the formula above

A = 2,500 * (1 + 0.04/1)3

A = 2,500 * (1.04)3

A = $2,812.16

Part 3) What is the sum of the balances of Account I and Account II at the end of 3 years?

Sum the two final investment:

$2,800 + $2,812.16 = $5,612.16

What is the combined length of all the buttons longer than 1 inch

Answers

Answer:

Where is the problem to solve?

Step-by-step explanation:

Which is the simplified form of the expression

2
(2-3)(x+3)(2)
(4-2)(x4)(13)
?

Answers

Answer:

x= 5 whole number and 2/15

Step-by-step explanation:

Please help!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

its 7

Step-by-step explanation:

The Bailey's spent $18.00 for 4 two-liter sodas for the birthday party this weekend. What is the number of soda bottles that could be bought with $45.00?

Answers

Answer:

Step-by-step explanation:

f a car travels 400 m in 20 s, how fast is it going?

Answers

400/20
20m/s
..............................

Answer:

20m/s

Step-by-step explanation:

Given, s=400m

t=20s

Required, v=?

v=s/t

=400m/20s

=20m/s

12 divided by the sum of h x and 3

Answers

Answer:

------

hx+3

Step-by-step explanation:

I know math

Simplify (65)2
O A. 670
O B. 67
C. 65
D. 63

Answers

130 If you multiply that’s what it would give you so I’m not sure what those answers are

what is the solution set of the inequality x+2/2≥-7-x/2

Answers

Answer:

[tex]x\geq - \frac{16}{3}[/tex]

Step-by-step explanation:

x +2/2 ≥ -7 - x/2

= x ≥ -16/3 (sign doesn't change since you didn't divide by a negative number).

Ace Carlos

Answer:

[tex]x\geq \frac{-16}{3}[/tex]

Step-by-step explanation:

Lamar rented a truck for one day there was a base fee of 18.95 and there was an additional charge of 93 cents for each Miles driven. Lamar had to pay 154.73 when he returned the truck . For how many miles did he drive the truck

Answers

Answer:

146 miles

Step-by-step explanation:

Hope this helps!

Answer:

146 miles

Step-by-step explanation:

He payed 135.78 total for gas. Take that number, and divide it by .93 to find out how many miles he drove.

3 Prove that
cos130°+cos 110+ cos10=0

Answers

We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2

So,

cos 130 + cos 110 + cos 10

cos 130 + 2cos (110+10)/2 × cos( 110-10)/2

cos 130 + 2cos 60 × cos 50

cos ( 180 - 50 ) + 2cos60 cos 50

We know, cos ( 180 - A ) = -cos A

2cos 60 cos 50 - cos 50

Also, cos 60 = 0.5

2×0.5 cos 50 - cos50

cos 50 - cos 50

0 = RHS.

Hence proved

Please help with this as well

Answers

Answer:

Option D is the correct answer

Step-by-step explanation:

w = 35°based on the definition of vertical angles.

Hw help please ASAP
+10PTS

Answers

Answer:

[tex]y = \frac{1}{2} x + 3[/tex]

Step-by-step explanation:

Remember that:

[tex]Slope \: = \frac{rise}{run} [/tex]

Answer:

½x+3

Step-by-step explanation:

slope = rise/run plus y-intercept

i gicveeeeee brainlilstttt

Answers

Answer: (-2,6)

Step-by-step explanation:

Hope this helps ;)

the probability of getting less than 3 in a single throw of a dice is

Answers

Answer:

There are two numbers {1,2} which is less than 3. so, required probability P(E) = 2/6 = 1/3.

Step-by-step explanation:

hope this helps

The nth term of a sequence is n²+1. What is the 9th term?

Answers

Replacing 9 for the nth term of the sequence we get 9^2 + 1 = 82, Therefore the 9th term is = 82

Simply: -51/4 - (-71/2)

Answers

Answer:

Exact form:

193/4

Decimal form:

48.25

Mixed number form:

48 1/4

Step-by-step explanation:

Answer:

48 1/4

Step-by-step explanation:

i hope this is correct

what is 3 times 3???

Answers

Answer:

Step-by-step explanation:

3×3=9

3+3+3=9

Yeeeeejsndnnsjx

Armenia is baking 24 batches of brownies for the bake sale. Each batch of
brownies takes 2 4/5cups of flour. What is a reasonable estimate of the
amount of flour that she will need to bake all twenty-four batches of
brownies?

A.96

B.72

C.60

D.48

Answers

Answer:

Step-by-step explanation:

2x24=48

4/5≈1

1x24=72

so its 72

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