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:
yes 1/20 is correct
Step-by-step explanation:
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%.
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3) When solving a one-step equation, we apply the inverse operation to the value on the _____ of the variable.
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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.
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Answer:
its 7
Step-by-step explanation:
Which is the fraction for 0.21?
Answers
Answer:
21/100
Step-by-step explanation:
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:
72
Step-by-step explanation:
2x24=48
4/5≈1
1x24=72
so its 72
j - 2.5 = 93.9
What is the value of j?
Answers
Answer:
j = 96.4
Step-by-step explanation:
Step-by-step explanation:
j - 2.5 = 93.9
j=93.9+2.5
j=96.4
A florist received a shipment of 16 dozen roses. The original order was for 20 dozen. What percent of the order did NOT arrive?
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Answer:
20 percent
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
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5 Gross Pay is $432. Finat a the social security tax, b the medicare tax and c the
total deductions
Answers
Answer:
Hope this helps!
Step-by-step explanation:
Pls, help me with this problem. HELP!!!!! (it's not that hard I don't know why I am frecking out)
Answers
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
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now put them back to reduced form
-3/4, -2/3, -5/12, 1/3 , 1 1/4, 1 5/12
:) better?
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:
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
Simplify (65)2
O A. 670
O B. 67
C. 65
D. 63
Answers
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Answer: (-2,6)
Step-by-step explanation:
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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:
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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.
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Answer:
Option D is the correct answer
Step-by-step explanation:
w = 35°based on the definition of vertical angles.
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
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Answer:
a positive querlashon the lower they studied the lower grade they got
Step-by-step explanation:
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Answer:
It would start 2 squares across the line.
Step-by-step explanation:
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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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Answers
what is 3 times 3???
Answers
Answer:
9
Step-by-step explanation:
3×3=9
3+3+3=9
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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
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:
7
Step-by-step explanation:
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.
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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
f a car travels 400 m in 20 s, how fast is it going?
Answers
20m/s
..............................
Answer:
20m/s
Step-by-step explanation:
Given, s=400m
t=20s
Required, v=?
v=s/t
=400m/20s
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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:
12 divided by the sum of h x and 3
Answers
Answer:
12
------
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Step-by-step explanation:
I know math
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 = 8Step-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
Read more about expressions at:
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