Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter except Z? Write your answer as a fraction or percent rounded to the nearest tenth.

Answers

Answer 1

Answer:

25/26 or 96.2%

Step-by-step explanation:

In the alphabets, we have 26 letters

If we remove Z, we have A -Y which is 25 alphabets

The question requires us to find the theoretical probability of choosing any other letter that is not Z

Probability= ratio of other alphabets that are not z to the number of letters in the alphabets.

Probability = 25/26 (as a fraction)

Probability = 0.9615 x 100 = 96.2% (as a percentage and to the nearest tenth)


Related Questions

Point S is the midpoint of AK. AS = 5x - 3, and AK = 9x + 9. What is the length of AS?

Answers

AS=0.5AK
5x-3=0.5(9x+9)
5x-4.5x=4.5+3
0.5x=7.5
x=15
AS=5(15)-3=72

Hope this can help.

2+3(3a+a)

What is the distribute of this?

Answers

2+12a is the distribute
Bring down the 2
Then multiply 3 by both 3a and a. 2+9a+3a
Then add like terms to get
2+12a

If i = the square root -1, what is i^3 equal to?​

Answers

Answer:

[tex] \sqrt{ - 1} [/tex]

Step-by-step explanation:

that's the correct answer

I need help please! If m∠ABD=76°​, what are m∠ABC and m∠​DBC? If m∠JKH=77° then m∠NDF=​__

Answers

Answer:

m<ABC = 41°

m<DBC = 35°

m<NDF = 77°

Step-by-step explanation:

Problem 1:

Given, m<ABD = 76°, m<ABC = (7x - 1), m<DBC = (5x + 5)

m<ABC + DBC = m<ABD (angle addition postulate)

[tex] (7x - 1) + (5x + 5) = 76 [/tex] (substitution)

Solve for x

[tex] 7x - 1 + 5x + 5 = 76 [/tex]

Collect like terms

[tex] 7x + 5x - 1 + 5 = 76 [/tex]

[tex] 12x + 4 = 76 [/tex]

Subtract 4 from each side

[tex] 12x + 4 - 4 = 76 - 4 [/tex]

[tex] 12x = 72 [/tex]

Divide each side by 12

[tex] x = 6 [/tex]

Find m<ABC

m<ABC = (7x - 1)

Plug in the value of x

m<ABC = 7(6) - 1 = 42 - 1 = 41°

Find m<DBC

m<DBC = (5x + 5)

Plug in the value of x

m<DBC = 5(6) + 5 = 30 + 5 = 35°

Problem 2:

<JKH and <NDF are corresponding angles. Corresponding angles are congruent.

Given that m<JKH = 77°, m<NDF = 77° (corresponding angles are equal).

please help me :((

Which ordered pair is a solution to the system of inequalities?

Answers

Answer: D  (-3,5)

Step-by-step explanation:

Using both inequalities input the values for x and y to see if it fits the inequality .

y > - 2    

x + y < 4    

The first coordinates are (1,3)  Where 3 is the y value and 1 is the x value.

 

3 > -2      so this works because 3 is greater than -2

4 < 4   This does not work because 4 is not greater than 4 .

So the first point is not a solution to the systems of inequalities.

Now try the second point.

(0,4)    

4 > -2    4 is greater than -2  so it works for the first inequality.

0+ 4 < 4     0 plus 4 is 4  and 4 is not greater than 4 so the second points does not also work for the inequalities so it is not a solution.

Third point

(-2,-3)

-3 > -2    -3 is not greater than -2 so this means the points will not work for the system of inequalities.

Last point

(-3,5)  

5 > -2  5 is indeed greater than -2 so it fits the first inequality now try the second one.

-3 + 5 < 4     -3 +5 is 2   and 2 is less than 4 so it does work for both inequalities so D is the answer.

How would I solve Part B?

Answers

Answer:

D (-4, -9)

Step-by-step explanation:

midpoint formula:

(x₁ + x₂) / 2 , (y₁ + y₂) / 2

plug in C (2,7)

(2 + x₂) / 2 , (7 + y₂ ) / 2 = (-1, -1)

(2 + x₂) / 2 = -1

multiply each side by 2

2 + x₂ = -2

subtract 2 from both sides

x₂ = -4

(7 + y₂) / 2 = -1

multiply each side by 2

7 + y₂ = -2

subtract 7 from both sides

y₂ = -9

D (-4, -9)

541.3 x 3.9 what is the answer pls write with explanation

Answers

Answer:

2111.07

Step-by-step explanation:

541.3 ×

3.9

Multiply each number by the number above it and the result will appear

Answer:

2111.07

Step-by-step explanation:

hope this will help you

Which of the following options have the same value as 20% of 45?

Answers

Answer:

[tex]B. \: \frac{1}{5} \cdot 45[/tex]

[tex]E.\: 0.2 \cdot 45[/tex]

[tex]D. \: \frac{20}{100}\cdot 45[/tex]

Step-by-step explanation:

% means /100

[tex]20\% = \frac{20}{100} \\\\20/100 =0.2\\= 0.2\cdot 45\\\\\frac{20}{100}=\frac{1}{5} \\\\= \frac{1}{5} \cdot 45[/tex]

Answer:

B, D, and E.

Step-by-step explanation:

20% is 20/100, or 0.2

so, if we put 20/100 instead of 20%, we get 20/100*45

the same goes for the rest of them. (remember, 1/5 is the same as 0.2)

Suppose that height of a falling object t seconds after being dropped from a height of 262 feet is given by f(t)= 262-16t^2 feet. Find the average velocity between times t=3 and t=4

Answers

Given :

Height of a falling object t seconds after being dropped from a height of 262 feet is given by f(t)= 262-16t^2 feet.

To Find :

The average velocity between times t=3 and t=4 s .

Solution :

Velocity is given by :

[tex]V=\dfrac{df}{dt}=-32t[/tex]

Now , average velocity is given by :

[tex]V_{avg}=\dfrac{V_4-V_3}{4-3}\\\\V_{avg}=\dfrac{(-32)(4)-(-32)(3)}{1}\\\\V_{avg}= -32\ feet/sec[/tex]

Hence , this is the required solution .

XY has a length of 20 and contains a point Z in between. If XZ = -5x+1 and ZY = 3x+5, find ZY.

Answers

Answer:

10.25 or 10 and 1/4

Step-by-step explanation:

Answer:

10.25

Step-by-step explanation:

Assuming that XZ = 5x + 1 (not -5x + 1)

XY = XZ + ZY

20 = 5x + 1 + 3x + 5

20 = 8x + 6

14 = 8x

8x = 14

x = 14/8 = 1.75

ZY = 3x + 5

ZY = 3 * 1.75 + 5

ZY = 5.25 + 5

ZY = 10.25

What is the solution of -28 = 22 - 5x? btw this is a algebra 1 question

Answers

Answer:

x = 10

Step-by-step explanation:

-28 = 22 - 5x

5x - 28 = 22

5x = 50

x= 10

Answer:

50

Step-by-step explanation:

-28 = 22 - 5x?

22 - 50 = -28

Hope it helps :)

Point P is in the interior of ∠OZQ. If m∠OZQ = 125 and m∠OZP = 62, what is m∠PZQ?

Answers

Answer:

63°

Step-by-step explanation:

If point P is in the interior of ∠OZQ, then ∠OZQ = ∠OZP+∠PZQ. Given m∠OZQ = 125 and m∠OZP = 62, to get m∠PZQ, we will substitute the value of the angles given into the expression above as shown;

∠OZQ = ∠OZP+∠PZQ.

125 = 62 + ∠PZQ.

subtract 62 from both sides;

125 - 62 = 62 + ∠PZQ -62

63 = ∠PZQ

Hence the angle  m∠PZQ is 63°

Find f(−2) given that f(x)=2x2−3x+7.

Answers

Answer:

21.

Step-by-step explanation:

f(x) = 2x^2 - 3x + 7.

When x = -2,

f(-2) = 2(-2)^2 - 3(-2) + 7

= 2(4) - (-6) + 7

= 8 + 6 + 7

= 21.

Answer:

21

Step-by-step explanation:

So we have the function:

[tex]f(x)=2x^2-3x+7[/tex]

And we want to find f(-2).

To do so, substitute -2 for x. Thus:

[tex]f(-2)=2(-2)^2-3(-2)+7[/tex]

Square:

[tex]f(-2)=2(4)-3(-2)+7[/tex]

Multiply:

[tex]f(-2)=8+6+7[/tex]

Add:

[tex]f(-2)=21[/tex]

And we're done!

Based on the information in the statement, what is phillips net worth

Can someone help me?

Answers

Answer:

B

Step-by-step explanation:

J

Answer:

B

Step-by-step explanation:

Hope it help

This goes with number 4

Answers

Answer:

B

Step-by-step explanation:

You are correct

Ms. Greenlee went to a restaurant with her mom. After a good meal, which cost her
$45, she decided to leave a tip of 18%. How much will be her total bill, including the
tip?

Answers

Answer:

$53.10

Step-by-step explanation:

Convert 18% to the decimal fraction 0.18.

Then,

multiplyibng the $45 meal cost by 1.18 results in the total bill.   It is

1.18($45) = $53.10

I NEED HELP I DONT UNDERSTAND

Answers

Add 10 in each number to get the answer at the end

Which of these is equal to sin 32?
sin 148
sin 58
ооооо
cos 58
cos 148
cos 32

Answers

Answer:

sin148 and cos58

Step-by-step explanation:

sin32=0.530

sin148=0.530

cos58=0.530

Hope it is helpful for you

please follow me

Using the quadratic formula to solve x2 = 5 - X, what are the values of X?
-1 √21
2
-13 19
51-421
1119
2
Mark this and return
Save and Exit
Next
Submit

Answers

Answer:

The answer is

[tex]x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2} [/tex]

Step-by-step explanation:

x² + x - 5 = 0

Using the quadratic formula

That's

[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

From the question

a = 1 , b = 1 , c = - 5

Substitute the values into the above formula and solve

We have

[tex]x = \frac{ - 1\pm \sqrt{ {1}^{2} - 4(1)( - 5) } }{2(1)} \\ x = \frac{ - 1\pm \sqrt{1 + 20 } }{2} \\ x = \frac{ - 1\pm \sqrt{21} }{2} [/tex]

We have the final answer as

[tex]x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2} [/tex]

Hope this helps you

The composition of any function, f(x), and its inverse, f'(x),

Answers

Answer:

x

Step-by-step explanation:

If both the function and its inverse exist, then the composition of the function with its inverse is just 'x.'

The composition of any function, f(x), and its inverse f'(x) is x.

What is a composition of inverse function?

The composition of a function and its inverse are two mathematical concepts with practical applicability.

The objective of these two concepts is to increase the understanding of functions and all the terms related to them.

Inverse functions, as the name suggests, is to describe an inverse relationship between two functions.

The composition of function is defined when the result of a function is obtained by applying another function.

The independent variable is another function.

Hence, The composition of any function, f(x), and its inverse f'(x) is x.

To know more about the Inverse function click the link given below.

https://brainly.com/question/5245372

Solve 2x+1=-52x+1=−5 x=

Answers

i tried this problem and i keep getting zero.

Graph the line with the equation y=1/6x-7

Answers

Answer:

Step-by-step explanation:

A graph that represents the linear equation y = 1/6(x) - 7 is shown in the image below.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.

Since the given linear equation y = 1/6(x) - 7 is in slope-intercept form, we would start by plotting its y-intercept on a graph;

y = 1/6(x) - 7

y = 1/6(0) - 7

y = -7.

Lastly, we would use an online graphing calculator to plot the given linear equation for the values in its domain as shown in the graph attached below.

In conclusion, the slope of this linear equation y = 1/6(x) - 7 is equal to  1/6 and it does not represent a proportional relationship.

Read more on a graph here: brainly.com/question/4546414

#SPJ6

What is the opposite of 5.98​

Answers

Answer:

[tex]\huge\boxed{-5.98}[/tex]

Step-by-step explanation:

The opposite of 5.98 is the negative one.

Since 5.98 is a positive integer, it's opposite would be the negative integer having a "-" sign.

So, the opposite of 5.98 is:

=> -5.98

Hi there!

~

An opposite number of n is the exact same number as n on the other side of the number line. The opposite of n = -n.

⇒ Since 5.98 is positive, it's opposite must be negative.

⇒ We multiply 5.98 by -1 to find the opposite:

Opposite of [tex]5.98 = -(5.98) = -5.98[/tex]

         ↓

∴Good luck∴

solve for g E=8gh Please help!!!

Answers

Answer:

Step-by-step explanation:

8gh = E

g = E/8h

28mn/7n anmd 4m are these expressions equvialent

Answers

Answer:

yes; see below

Step-by-step explanation:

28mn / 7n

the n's cancel out

28m / 7

28/7 = 4

you are left with 4m

4m = 4m

How can you tell if a representation is
NOT a function?

Answers

It is not a function if there is no pattern to the numbers

Convert 1.5 × 108 from scientific notation to standard form. 15,000,000 150,000,000 1,500,000,000 15,000,000,000

Answers

Step-by-step explanation:

We need to convert 1.5 × 10⁸ from scientific notation to standard form.

The scientific notation is 1.5 × 10⁸

Out of the given options, we need to choose the correct one.

10⁸ means 100000000

⇒ [tex]1.5\times 10^8=1.5\times 100000000[/tex]

or

[tex]1.5\times 100000000=\dfrac{15}{10}\times 100000000[/tex]

One of the zero from denominator and numerator will cancel down.

[tex]\dfrac{15}{10}\times 100000000=15\times 10000000\\\\=150000000[/tex]

So, the correct option is b.

2. Find the product (2x + 3)(3x - 2).

Answers

Answer:

6x² + 5x - 6

Step-by-step explanation:

Given

(2x + 3)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(3x - 2) + 3(3x - 2) ← distribute both parenthesis

= 6x² - 4x + 9x - 6 ← collect like terms

= 6x² + 5x - 6

Answer:

here the answer is 6x² + 5x - 6

Step-by-step explanation:

here is the clear explanation

2x(3x - 2) + 3(3x - 2)

= 6x² - 4x + 9x - 6

= 6x² + 5x - 6

i not sure of the answer

sorry if it is wrong

congruence transformation pls help

Answers

Answer:

X, 3, 1

Step-by-step explanation:

hello again.

When y is inversely proportional to X where X and Y is equal to 2 then find when the value of x =0.5 is equal to 0.5

Answers

Answer:

XY=2

dividing both sides with y

X=2/y

(to find value of X, y should be transpose to the right or remove)

when X=o.5

y=2/0.5

y=4

so value of X is 0.5 when y=4

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