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

#SPJ5

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Answer:

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Step-by-step explanation:

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Answer:

146 miles

Step-by-step explanation:

Hope this helps!

Answer:

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

what is 3 times 3???

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Answer:

Step-by-step explanation:

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Armenia is baking 24 batches of brownies for the bake sale. Each batch of
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A.96

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C.60

D.48

Answers

Answer:

Step-by-step explanation:

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1x24=72

so its 72

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Answers

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Step-by-step explanation:

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Which is the fraction for 0.21?

Answers

Answer:

21/100

Step-by-step explanation:

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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

One gram of fat has 9 calories. A one-ounce slice of
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Answers

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

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:

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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

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Answer:

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Step-by-step explanation:

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]

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So, we have:

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

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[tex]m = 8[/tex]

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Answers

Answer:

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Step-by-step explanation:

Remember that:

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Answer:

½x+3

Step-by-step explanation:

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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:

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

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

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Answer:

Where is the problem to solve?

Step-by-step explanation:

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:

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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:

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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

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:

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

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.

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:

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

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 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

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