the letters of the alphabet are written on pieces of paper and put into a hat. they are then pulled out and not replaced.

a) what is the chance of pulling out an A and then a Z in two consecutive turns?
b) starting again, what is the chance of pulling out two vowels in two consecutive turns?

Answers

Answer 1

Answer:

A: 3.84% chance.

B: 23.08% chance

Answer 2

The chance of pulling out an A and then a Z and two vowels in two consecutive turns will be 1 / 650 and 2 / 65, respectively.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

The letters of the alphabet are written on pieces of paper and put into a hat. they are then pulled out and not replaced.

Then the total number of letters of the alphabet will be 26.

Then the chance of pulling out an A and then a Z in two consecutive turns will be given as,

P = (1 / 26) x (1 / 25)

P = 1/650

The chance of pulling out two vowels in two consecutive turns will be given as,

P = (5 / 26) x (4 / 25)

P = 20 / 650

P = 2 / 65

The chance of pulling out an A and then a Z and two vowels in two consecutive turns will be 1 / 650 and 2 / 65, respectively.

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Related Questions

2. 3. Edward bikes the same route to and from school each day. After 28 school days, he bikes a total distance of 389.2 miles. a. Estimate how many miles he bikes in one day.

Answers

Answer:

Step-by-step explanation:

Estimate usually means "Don't use a calculator." An estimate would be 30 days and 390 miles. That makes 13 miles / day. I get the feeling that is not what is wanted.

miles / day = total distance / number of days

miles / day = 389.2 / 28

miles / day = 13.9 miles per day.  I don't know which answer to use. I'd try this one first and then use the top one.

389/ 28 = 13.89
Round to 14 miles per day

Factor completely
16x^2y^4z^3+33xy^8z^5​

Answers

Answer:

xy^4 z^3 ( 16x + 33y^4 z^2)

Step-by-step explanation:

step 1 : see what variable you can take out , start with x see if there is x in the left and right side. and how many time you can take it out

next y same thing and then last z

with x = left side you x^2 and right side you have x = so u can take x out once left you with x

with y = left side y^4 and right side y^8 so you can take out y ^4 out left you with y^4

with z = left side z^3 and right side z ^5 you can take out z^3 left you with z^2

Total surface area??

Answers

Answer:

total area = 207 cm²

Step-by-step explanation:

base area = 9 x 9 = 81

side area = 1/2(9)(7) = 31.5 x 4 (for 4 sides) = 126

81 + 126 = 207 cm²

what do u do when your teacher comments this in a assighnment?."I can't accept this. It is clear that you copied and pasted from the internet. I will give you another chance to do it correctly - using your own thoughts, not the internet." T_T my teacher found out ......:((

Answers

Answer:

Deny. Deny. Deny.

Step-by-step explanation:

Say how crazy the similarities are but you genuinely wrote what came to mind and you did not even look up the topic online. If that fails just grovel and come up with a sob story so they are no so harsh. Hope this helps <3

what is the measure of the complement of a 67 degree angle?

Answers

Answer:

23°

Step-by-step explanation:

Complement angles are two angles that add up to 90°.

Since we’re given that one of them is 67°, the other one must add up to 90°

90 - 67 = 23

The other angle is 23°

Answer:

the complement of 67° is the angle that when added to 67° forms when a right angle (90°)

can someone help me! The person who gets it right gets brainliest

Answers

Answer:

The answer is 17.6

Step-by-step explanation:

Multiply 8 x 2.2, and act as if you are cutting off the left "triangle" and simply moving it to the other side, making it act like a rectangle.

Which values for A and B will create infinitely many solutions for this system of equations? A x minus y = 8. 2 x + y = B.

Answers

Answer:

A = -2

B = -8

Step-by-step explanation:

A system of equations has infinitely many solutions when both equations are exactly the same equation, then both graphs intersect in infinitely many points, meaning that the system has infinitely many solutions.

Then if we have the equations:

A*x- y = 8

2*x + y = B

We want to find A and B such that both equations are exactly the same thing.

Notice that in the first one we have negative y, while in the second we have positive y.

Then A needs to be minus the coefficient that multiplies x in the other equation, this means that:

A = -2

And B needs to be minus the corresponding therm in the other equation, then B = -8.

Then the system becomes:

-2*x - y = 8

2*x + y = -8

We can see that one equation is -1 times the other, so if we write both of them as linear equations in the slope-intercept form, we get:

y = -8 - 2*x

y = -8 - 2*x

So both equations are exactly the same thing, meaning that we have infinitely many solutions.

Every year, a car loses 15% of the value it had the year before. If the car's initial value is $ 24,000, then how long will it take for the car to be worth half of its value?

Answers

Answer:

4.62 years

Step-by-step explanation:

Half the car's value =>$24,000/2 = $12,000

The formula for exponential decrease =

y = a(1 - r)^t

y = Initial value = $24,000

a = Value after time t = $12,000

r = Decrease rate = 15% = 0.15

t = time in years =??

Hence,

24,000 = 12000 ( 1 - 0.15)^t

Divide both sides by 12000

24000/12000 = 12000 ( 0.85)^t/ 12000

2 = 0.85^t

We take the logarithm of both sides

log 2 = log (0.85)^t

log 2 = t log 0.85

Divide both sides by log 0.85

t = log 2/log 0.85

t = 4.62098120373 years

Approximately = 4.62 years

It would take 4.62 years to be worth half the initial price

PLEASE HELP ASAP PLEASE​

Answers

The Answer is: 224 m3

In the early 2016 there were about 80 devils living on Maria island.Of that total, 75% are offspring from the previous two breeding seasons. How many are offspring

Answers

Answer: 60 devils

Step-by-step explanation:

Question wants to know the number of offspring from the two previous breeding seasons.

There are 80 devils on the island. 75% of this 80 are from previous breeding seasons.

We need to find this 75% in whole numbers:

= Percentage of devils from previous seasons * Total number of devils

= 75% * 80 devils

= 60 devils

Suppose you want to put trim around the floor of a rectangular room.
The room is 7 by 11 feet. If a foot of trim costs $6, how much will the
trim cost altogether?

Answers

Answer: $108
Explanation: 7x6 = $42 + 11x6 = $66
It would be 4 sides not 2.
7+7 = 14
11+11 = 22
14 x 6 = 84
22 x 6 = 132
132 + 84 = 216
The trim costs $216

What is 9 x 2/3 as a fraction.

Answers

18/3
You just multiply the top by the whole number.
Simplified that’s 6, but since you want fraction form the first one is right.

The expression 9x2/3 can be written in fraction form as, 18/3

What is a fraction?

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

9 times 2/3 can be calculated by first converting 9 to a fraction and then multiplying that fraction by 2/3. To convert 9 to a fraction, we write it over 9/1 x 2/3

Next, we multiply the two fractions by multiplying the numerators (the top numbers) together and the denominators (the bottom numbers) together:

⇒ (9/1) x (2/3)

⇒ (9 x 2) / (1 x 3)

⇒ 18/3

So, 9 times 2/3 as a fraction is 18/3.

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What is the value of x in the figure? Enter your answer in the box.

Answers

Answer:

x = 65°

Step-by-step explanation:

these are vertical angles, which are congruent

145 = 2x + 15

130 = 2x

65 = x

36 is 18% of what number?

Answers

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

WILL MRAK BRAINLIESTTTT IF GOTTEN RIGHT DONT ANSWER IF U DONT KNOW!

Answers

Answer:

BC=4

Step-by-step explanation:

didn't i do this already lol

What is the percent increase when 7,200 increases by 1,800?
20 percent
25 percent
O 54 percent
O 80 percent

Answers

Answer:

25%

Step-by-step explanation:

To find the percent increase, take the increase amount over the original amount

1800/7200

.25

Multiply by 100 to get a percent

25%

 

25 percent    

7200 divided by 1800 is 25

HOPE THIS HELPS

How would you describe slope 0/-5? Brainliest for best answer!!!

A. positive
B. negative
C. 0
D. does not exist.​

Answers

im pretty sure its c

The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell the most tins. This box plot shows the results.
Popcorn tins sold

What fraction of the players sold between 8 and 16 popcorn tins?

Answers

Answer:

1/2 percent

Step-by-step explanation:

If you look at the box, the middle number is 12 or since its the middle "1/2"

so the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

We have given that,

The players sold between 8 and 16 popcorn tins,

If you look at the box, the middle number is 12, or since it's the middle 1/2.

What is the fraction?

Fractions represent equal parts of a whole or a collection. Fraction of a whole When we divide a whole into equal parts, each part is a fraction of the whole.

So the fraction would be 1/2, hope this helped.

The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.

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Someone pls help im new tysm if you do!

Answers

Answer:

-24 is your answer<3.....

the parenthess are just multiplication, so 6*-4 is -24

Keith needs to build a bridge to go across a pond. He has been able to collect the following measurements. About how long does this bridge need to be​

Answers

Answer:

[tex]\Huge\boxed{11.9}[/tex]

Step-by-step explanation:

Hello There!

Basic Concepts

Geometry

Once again we are going to need to use trigonometric ratios to solve for a missing side length (the length of the bridge)

Here are the trigonometric ratios

Sine - Opposite over Hypotenuse

Cosine - Adjacent over Hypotenuse

Tangent - Opposite over Adjacent

For the angle that has a measure of 50 degrees

we are given its adjacent side length and we need to find its opposite

When working with the opposite side length and adjacent side length we use the trigonometric ratio tangent

Knowing which trigonometric ratio we are going to use we have to create an equation

Remember tan = opposite over adjacent

So we plug in the given information and solve for the missing information ( In this case the opposite side length)

[tex]tan(50)=\frac{x}{10}[/tex]

Basic Algebra

Now we solve for x

Like always we want to isolate the variable

First we want to get rid of the 10

x is being divided by 10 and the inverse of division is multiplication

So we multiply each side by 10

[tex]tan50*10=10tan50\\\frac{x}{10} *10=x\\[/tex]

now we have

[tex]10tan50=x\\[/tex]

finally we plug in 10tan50 into a calculator to get the value of x

we get that x = 11.91753594

Our last step is to round to the nearest tenth

We can conclude that the answer is 11.9

The bridge needs to be 11.92 feet long by calculating the tangent of the given angle.

What is tangent of an angle?

Tangent of an angle in a right-angled triangle is the ratio of the height to the base of the triangle.

Let, the bridge is x ft. long.

Therefore, tan 50° = [tex]\frac{x}{10}[/tex].

⇒ x = 10 × tan 50°

⇒ x = 10 × 1.192

⇒ x = 11.92

Therefore, the bridge is 11.92 ft. long.

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Help please! What part of the model represents "n" in the
equation?

Answers

The answer is the ball

Paul had 3.8 pounds of bananas and 2.1 pounds of apples. About how much fruit does he have in all?​

Answers

Answer:

5.9 pounds

Step-by-step explanation:

3.8 + 2.1 = 5.9

A pizza parlor is creating a questionnaire to survey customers about their satisfaction with the taste of their pizzas. Which questions would be considered good questions to include on the survey?

Answers

Answer:

On a scale of 1 to 10, how satisfied are you with the taste of our pizzas?

Would you recommend our pizzas to your friends and neighbors? Please answer either yes or no.

Step-by-step explanation:

There are 68 marbles in a bin and 50% of the marbles are red.
How many red marbles are the bin?
There are
red marbles in the bin. .

Answers

Answer:

34 because 50 percent of 68 is 34

Answer:

There are 34 red marbles in the bin

Step-by-step explanation:

50% is basically 1/2. So half of 68 is 34.

what is equvalint to 1/2a-4

Answers

If your doing ireadys the answer is 1/2(a-8 but no negative 8 it’s just original 8

Please help!!!!

Order these numbers from least to greatest.
6.1, 6.22, 6.202, 6.1021

Answers

Answer:

well played ahajkdjajkskdjdhdjskkskfjsiiskfks

1÷1+cosa+1÷1_cos a please solve question​

Answers

ok so THIS IS UR ANSWER I THINK PLEASE MAKE ME BRAINLIEST

Plz Help I will give Brainliest

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 8.6 Ft^2

Explanation:

First find the area of the WHOLE square in FEET

2.5 x 4.5 = 11.25 ft

Then we need to find the area of the circle

r = radius

The formula is A = 3.14r^2

The radius is .9166, we can tell because the total distance from top to bottom is 22in meaning 1.83333 ft, meaning the diameter is 1.8333, then to get the radius we cut that in half.

A = 3.14(.9166^2

A = 2.64 Ft

Now we need to find the new total area

11.25 - 2.64 = 8.61 in ^2

Now we need to convert it to the nearest tenth of a square foot

8.6 Ft^2

I hope this helped  !

<!>   Brainliest is appreciated! <!>

-  Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

To mail a letter to Vienna, Austria the post office charges a flat rate of $9.75 and an additional $0.50 for every ounce the letter weighs. The cost of mailing a letter is determined by the equation y=0.50x+9.75, where y is the cost of the postage and x is the weight of the letter in ounces.

Answers

Missing details

Which type of function model would be appropriate for this situation?

Answer:

Linear function

Step-by-step explanation:

Given

[tex]y = 0.50x +9.75[/tex]

Required

The function model

A function of the form:

[tex]y = mx + b[/tex]

is referred to as a linear function where

[tex]m = slope/rate[/tex]

[tex]b=y\ intercept[/tex]

By comparison:

[tex]m = 0.50\ b = 9.75[/tex]

So, it is a linear function (linear model)

i need help with this question

Answers

Answer:

(C). [tex]\frac{22\pi }{3}[/tex] yd.

Step-by-step explanation:

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