For a charity event, raffle tickets are printed such that they have a vowel (excluding y) 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

Answers

Answer 1

Answer:

P=5%

Step-by-step explanation:

In order to solve this problem, we can use the following formula for the probability of two independent events:

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

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

They are asking for the probability that the winning  ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). Therefore the probability for the first letter to be e is:

[tex]P(A)=\frac{desired}{total}[/tex]

[tex]P(A)=\rac{1}{5}[/tex]

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:

[tex]P(B)=\frac{1}{4}[/tex]

so the probability of getting a ticket that starts with an e and ends with a 5 is:

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

[tex]P(A and B)=(\frac{1}{5})(\frac{1}{4})[/tex]

[tex]P(A and B)=\frac{1}{20}[/tex]

so the probability is 5%

Answer 2

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 P=5%.

What is probability?

The chance of happening an event out of all the possible outcomes is called the probability of an event.

The probability of two independent events

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

The probability that the winning ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). So, the probability for the first letter to be e is:

P(e) =1/5

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

So, the probability of getting a ticket that starts with an e and ending with a 5 is:

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

= 1/5 x 1/4 =1/20

In percentage , probability is 1/20 x 100 % =5%

Hence, the probability is 5%

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Related Questions

Two grocery stores charge amounts for Henry’s favorite olives mangio’s pounds:3 4 5 6
Cost: 18 24 30 36
Mangios charges blank per pound of olives I need help

Answers

Answer:

$6 per pound

Step-by-step explanation:

If you do 3 x 6 you get 1, 4 x 6 is 24, 5 x 6 is 30, 6 x 6 is 36. Those are the numbers that they cost. If this helped please consider giving it brainliest.

- •Trix•

( Yes I know my -•Trix• is not my user but its what I would change it to if I could but I can't)

Combine the like terms to create an equivalent expression 11m + 1 + 3m +4

Answers

combine the numbers with the variable m and then combine the rest. so the answer will come out to 14m + 5

y = - x + 7 on a graph

Answers

Answer:

(See the attachment)

Step-by-step explanation:

None

C
L 6.1.3 Quiz: Exponents
Question 4 of 10
Which of the following is equal to divide 9•4

Answers

Answer:

36 ÷ 9= 4

Step-by-step explanation:

9 x 4= 36

The division equation for this is 36 ÷ 9= 4

The product of the expression 9 and 4 is 36.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Give that we have to multiply 9 with 4.

This means that 9 has to be added repeatedly up to 4 times or 4 has to be added repeatedly up to 9 times.

In both cases, the product must be the same.

9 multiplied by 4 =  9 + 9 + 9 + 9

Which is also equal to,

4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4

= 36

Hence the product is 36.

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A cell phone company charges $40 per month for unlimited calling and $0.20 per text message sent. If t represents the number of text messages Roxy sent last month wich expression represents the cost of her bull last month before any taxes or additional fees

Answers

Answer:

Total cost = 40 + 0.2t

Step-by-step explanation:

Given:

Fixed cost for call = $40

Each message cost = $0.20

Number of message = t

Find:

Equation of total cost

Computation:

Equation of total cost

Total cost = Fixed cost for call + (Each message cost)(Number of message)

Total cost = 40 + 0.2t

Which expression is equivalent to StartRoot negative 108 EndRoot minus StartRoot negative 3 EndRoot?
5 StartRoot 3 EndRoot i
6 StartRoot 3 EndRoot i
7 StartRoot 3 EndRoot i
8 StartRoot 3 EndRoot i

Answers

(4√5)i

Step-by-step explanation:

Complex number is a number in the form a + bi, where both a and b are real numbers. A complex number has two parts, the first part a is the real part of the complex number and the second part b is the imaginary part of the complex number. Also, i = √(-1), hence i² = -1.

Complex numbers can also be graphed on the complex plane.

√(-80) = √(-1) × √(80)

But since √(-1) = i

√(-80) = i × √80 = i × √16 × √5 = i × 4 × √5 = (4√5)i

√(-80) = (4√5)i

Answer:

A

Step-by-step explanation:

edge 2020

He calculates that these two periods account for 18% of minutes he spends at school. How many does he spend at school.

Answers

Answer:

26

Step-by-step explanation:

a sabeeeer

Step-by-step explanation:

The lowest elevation in Lammefjord, Denmark, is 23 feet below sea level. The elevation of the Sea of Galilee in Israel is about 30 times lower than the elevation of Lammefjord. What is the approximate elevation of the Sae of Galillee written as an integer?

Answers

Answer:

[tex]Sea\ of\ Galilee = -690ft[/tex]

Step-by-step explanation:

Given

[tex]Lowest\ Elevation = 23ft[/tex] below sea level

Sea of Galilee = 30 times Lowest in Lammefjord, Denmark

Required

Determine the elevation of the Sea of Galilee

We have that the lowest elevation in Lammefjord is:

[tex]Lowest\ Elevation = -23ft[/tex]

It is negative because, the elevation is below sea level.

Calculating the elevation of Sea of Galilee, we have:

Sea of Galilee = 30 times Lowest in Lammefjord, Denmark

[tex]Sea\ of\ Galilee = 30 * -23ft[/tex]

[tex]Sea\ of\ Galilee = -690ft[/tex]

Hence, the elevation of Sea of Galilee is -690ft or 690ft below sea level

what is the expression in radical form? (5x^3 y^2) 2/8

Answers

Answer: (y^{2}x^{3}⋅5)/4

Step-by-step explanation:

Convert to Radical Form

    [tex](5x^3y^2)\frac{2}{8}[/tex]

Reduce the expression [tex]\frac{2}{8}[/tex] by cancelling the common factors.

Factor 2 out of 2.

    [tex]5x^3y^2\frac{2(1)}{8}[/tex]

Factor 2 out of 8.

     [tex]5x^3y^2 \frac{2(1)}{2(4)}[/tex]

Cancel the common factor.

     [tex]5x^3y^2 \frac{1}{4}[/tex]

Combine 5 and [tex]\frac{1}{4}[/tex].

     [tex]x^3y^2\frac{5}{4}[/tex]

Combine [tex]x^{3}[/tex] and [tex]\frac{5}{4}[/tex] .

     [tex]y^2\frac{x^3(5)}{4}[/tex]

Combine [tex]y^{2}[/tex] and [tex]\frac{x^3*5}{4}[/tex]

     [tex]\frac{y^2x^3*5}{4}[/tex]

Solve
110.10+4x=150.104

Answers

Answer:

x=10.001

Step-by-step explanation:

110.10+4x=150.104

4x=40.004

x=10.001

Hope it helped!

what is the answer to -3(9-x)+6x

Answers

Answer: 9−27

Step-by-step explanation:

4 * 8-5 =12 symbols to make true number sentences

Answers

Using Pedmas  to get the equation to be true add parenthesis around the 8-5:

4 x (8-5) = 12

This becomes 4 x 3 = 12 which is true.

4x3 =12; true . 4x (8-5)=12

A file that is 261 megabytes is being downloaded. If the download is 18.7% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth

Answers

Answer:

48.8

Step-by-step explanation:

Using mixed numbers, write a problem in which an estimate is enough to solve the problem.​

Answers

explain:

Estimating Differences of Fractions and Mixed Numbers

Estimating Differences of Fractions and Mixed NumbersRecall that estimation is a method for finding an approximate solution to a problem. Even when you are asked to find an exact ko, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0,

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.

, estimation is a useful way to get an idea of a reasonable solution to a problem. Once you have found an exact answer, you can check your answer against the estimate.When working with fractions and mixed numbers, you can use the fraction benchmarks of 0, 12, and 1 to help you to estimate differences.Here are the steps for estimating the differences of fractions and mixed numbers using benchmarks.


Help! Signs of expression What is the sign of a . b?
6
4
2
0
-2
-6
8
Choose 1 answer:
Positive
Negative
Zero

Answers

Answer:

6-positive

4-positive

2-positive

0-zero

-2-negative

-6-negative

8-positive

Step-by-step explanation:

need answers asap rnn

Answers

Answer: of each shape? 3 & 4?

Step-by-step explanation:

What is the remainder when
f(x) = 2x4 + x2 – 8x – 1 is divided
by x - 6?

Answers

Answer:

Step-by-step explanation:

x - 6 = 0

x = 6

f(x) = 2x⁴  + x² - 8x - 1

     =2(6)⁴+ 6² - 8*6 - 1

     = 2*1296 + 36 - 48 - 1

     = 2592 + 36 - 48 - 1

     = 2628 - 49

     = 2579

Written as a simplified polynomial in standard form, what is
the result when (2x – 5)2 is subtracted from x-10?

Answers

Answer:

[tex]\left(x-10\right)-\left(2x-5\right)^2=-4x^2+21x-35[/tex]

Step-by-step explanation:

As we have to subtract [tex]\left(2x\:-\:5\right)^2[/tex] from [tex]\left(x-10\right)[/tex]

so

[tex]\left(x-10\right)-\left(2x\:-\:5\right)^2[/tex]

solving and simplifying the polynomial in standard form

[tex]\left(x-10\right)-\left(2x-5\right)^2[/tex]

[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]

[tex]=x-10-\left(2x-5\right)^2[/tex]

[tex]=x-10-\left(4x^2-20x+25\right)[/tex]      ∵ [tex]\left(2x\:-\:5\right)^2=\:4x^2-20x+25[/tex]

[tex]=x-10-4x^2+20x-25[/tex]

[tex]=-4x^2+21x-35[/tex]

We know that standard form means that the terms of the expression are ordered from biggest exponent to lowest exponent.

Thus, a simplified polynomial in standard form is:

[tex]\left(x-10\right)-\left(2x-5\right)^2=-4x^2+21x-35[/tex]

square root of 1.6 and 8.2 and 24 and 26

Answers

Square root of 1.6 is 1.265
8.2 —- 2.864
24—— 4.89
26—— 5.09

Hope this helped :)

Can someone help plz

Answers

Answer:

84g

Step-by-step explanation:

399÷19=21

21 x 4 = 84

Heyy can y’all help me with this algebra assignment? I’ll give out brainliest !

Answers

Answer:

Step-by-step explanation: number 1 is x <-15 because first simplify both sides of equation -1/5 x > 3 then multiple both sides by 5/(-1) (5/-1) x (-1x5) > (5/-1) x (3) which x < -15

plz help me plz plz thank you

Answers

Answer:

240

Step-by-step explanation:

bruh all you have to do is (11+5)*15

Rachel packed supplies for the sixth grade picnic. For every 11 forks she packed, she packed 8 spoons. Rachel packed a total of 110 forks. How many spoons did she pack?

Answers

Answer:

80

Step-by-step explanation:

The ratio is 11:8 multiply it by 10 it turns into 110:80

Answer:

80

Step-by-step explanation:

because that's the answer

Are these triangles similar and why

Answers

there is no photo in the question

Answer:

can give me a picture

Step-by-step explanation:

What's the answer
BchbhbdbhdjbcdjcnjcjndJncjjj

Answers

Answer: 1,3,6

Explanation:

Please help i need this ASAP! C(x)=0.7x^2-210x+27,738
Do not round your answer

Answers

Answer:

27/x

Step-by-step explanation:

Amelia collected 54 pieces of candy during Halloween. Of those 54 pieces, five-ninths had chocolate in them. Two-thirds of the ones that didn't have chocolate were gum. How many pieces of the 54 were gum? Show how you found your answer.





plz help me ​

Answers

[tex]\frac{5}{9}[/tex] of 54 are the ones which have chocolate , so we need to multiply the fraction by 54

[tex]\frac{5}{9} *54 =30[/tex]

Since 30 pieces of candy have chocolate, then 24 don't have it. [tex]\frac{2}{3}[/tex] of the last number are the ones which have gum, multiply [tex]\frac{2}{3}[/tex] by 24 to get the answer:

[tex]\frac{2}{3} *24=16[/tex]

The answer is : 16 pieces of candy have gum

PLEASE MARK ME AS BRAINLIEST

The number of pieces of gums are 16.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, Amelia collected 54 pieces of candy during Halloween.

Of those 54 pieces, five-ninths had chocolate in them.

Number of chocolates = 5/9 ×54

= 30

Remaining candies =54-30

= 24

Two-thirds of the ones that didn't have chocolate were gum.

Now, 2/3 ×24

= 16

Therefore, the number of pieces of gums are 16.

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Determine whether the table of values below represents a linear function. If it represents a linear function, write the function. If it does not represent a linear function, explain why not.

Answers

Answer:

The equation of a linear function is:

[tex]y = 2x+4[/tex]

Step-by-step explanation:

Given the table

x                    y

-10               -16

-3                 -2

1                    6

2                   8

Determining the slope between the points (-10, -16), (-3, -2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-10,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]

[tex]m=\frac{-2-\left(-16\right)}{-3-\left(-10\right)}[/tex]

[tex]m=2[/tex]

Determining the slope between the points (-3, -2), (1, 6)

[tex]m=\frac{6-\left(-2\right)}{1-\left(-3\right)}[/tex]

[tex]m=2[/tex]

Determining the slope between the points (1, 6),(2, 8)

[tex]m=\frac{8-6}{2-1}[/tex]

[tex]m = 2[/tex]

As the slope between the points is the same. Thus, the table represents the linear function.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

substituting the values m = 2 and any point let say (1, 6)

[tex]y - 6 = 2(x-1)[/tex]

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

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

[tex]y = 2x+4[/tex]

Therefore, the equation of a linear function is:

[tex]y = 2x+4[/tex]

Keith made $65 for 5 hours of work. At the rate, how much would he make for 18 hours of work?

Answers

Answer:

234

Step-by-step explanation:

65              x

---    =        ---

5                18

write an equation in slope intercept form of the line that passes through (3,8) and (1,-2)

Answers

The actual answer is y = 5x - 7

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