The probability the letters will spell the word ENVELOPE is 1/6720 option (D) 1/6720 is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
If all the letters in the word ENVELOPE are randomly rearranged,
As we know, a permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
From the definition of the permutation and combination we can calculate the total number of arrangements:
E :: 3
N :: 1
V :: 1
L :: 1
O :: 1
P :: 1
The arrangement Letters:
E,L,N,O,P,V
Total Number of Letters:
8
Total Number of Unique Letters:
6
Total arrangements = 8!/3!
Total arrangements = 8×7×6×5×4
Arrangements = 6720
Total number of outcomes = 6720
Number of favorable outcomes = 1
Probability = 1/6720
Thus, the probability the letters will spell the word ENVELOPE is 1/6720 option (D) 1/6720 is correct.
Learn more about the probability here:
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5.
The height of a cylinder is 6 Inches. The radius of the base is 8 inches.
Which expression can be used to approximate the volume of the cylinder?
A
2 x 8 x 3.14 6
B
4x3.146
с 82 3.146
D 42 x 3.146
the volume of cylinder is 3.14 r^2×h
Answer: c
Step-by-step explanation:
The present price of a motorcycle is
Rs. 2,25,000. If its price is depreciated per year by 8 %, after
how many years will be the price of the motorcycle be
Rs. 1,75,204.80 ? Find it.
Answer:
3.25 years
Step-by-step explanation:
The computation of the number of years is shown below:
Given that
PV = $225,000
RATE = 8%
PMT = $0
FV = $175,204.80
The formula is shown below:
= NPER(RATE;PMT;PV;FV;TYPE)
After applying the above formula, the number of years would be 3.25 years
The same would be considered
Find the distance between the points.
(5.10),(5,4)
The distance is
Answer: 6??
Step-by-step explanation: Cause they are right next to each other and if u want me to be more specific its 6 units down :)
Answer:
The distance will be √(x2-x1)^2+(y2-y1)^2
=√(5-5)^2+(10-4)^2
=√(0)^2+(6)^2
=√(6)^2
=6 units
-y + 9x = 0 Direct and inverse variation. constant of variation (k)
this what teacher explain to us
Please I need an answer asap
Answer:
N= 4
Step-by-step explanation:
y^3 * y^n
_______ = y^6
y
First we multiply the 2 y's together to get
y^n+3
____ = Y^6
Y
Then we will multiply y to both sides
y^n+3 = y^7
Get rid of y
n+3 = 7
n=4
What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width of 15in, and a length of 2in?
What is the BEST word to describe the probability that the spinner will stop on 1 or 2? A) certain B) unlikely C) impossible D) very likely
Answer:
very likely
Step-by-step explanation:
Sophia and Tyler are running around a 400-meter track. They start running from the speed of 4 m/s. How long will it take Sophia to lap Tyler?
Answer:
100 minutes
Step-by-step explanation:
Given data
Total distaance= 400meters
Speed= 4m/s
We know that the expression for speed is
Speed= distance/time
substitute to find time
4= 400/time
time= 400/4
time= 100 minutes
find the least common denominator for the fractions: 5/5, 1/10, 3/4
Answer:
20
Step-by-step explanation:
Let's list some multiples of each denominator
5: 5, 10, 15, 20, 25, 30
10: 10, 20, 30, 40, 50, 60
4: 4, 8, 12, 16, 20, 24, 28
The common denominator (LCD) is 20
So lets input
20 / 20, 2/20, 15/20
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
A number increased by 7 is 4 less than twice the number. Write the equation and solve
Answer:
The number must be bigger than 7 for the equation be true
If you put x= 7 or x= 6...it will not be true
Step-by-step explanation:
x+7< 2x
7< x
x> 7
Example x=9
9+7 < 2x9
16< 18 TRUE
The equation is x + 7 = 4 - 2x. Then the solution of the equation will be negative 1.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
A number increased by 7 is 4 less than twice the number.
Let the number be 'x'. Then the inequality is given as,
x + 7 = 4 - 2x
Simplify the equation, then we have
x + 7 = 4 - 2x
x + 2x = 4 - 7
3x = - 3
x = -3/3
x = -1
The equation is x + 7 = 4 - 2x. Then the solution of the equation will be negative 1.
More about the solution of the equation link is given below.
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A house is worth $156,000
in 2015. In 2017, it is
worth $192,000. What is
the rate of change?
Answer:
$18,000
Step-by-step explanation:
Difference in the years is 192000-156000= 36000
To find rate of change, divide the difference by amount of years in difference.
36000/2017-2015
36000/2
Hence, $18000 per year
Hope it helps!
Please help asap. No links for a answer or I will report you
8th Grade
Answer:
S
Step-by-step explanation:
B
6x+7
3x+c
2x-1
What is the value of c in degrees
Answer:
1.x=15
2.<A=29
Step-by-step explanation:
(2x-1)+(3x+9)+(6x+7)=180
2x-1+3x+9+6x+7=180
11x+15=180
11x=180-15
11x=165
x=165/11
x=15
2.<A=2x-1
<A=2*15-1
<A=30-1
<A=29
For the lengths AB, BC, and AC to equal 19, 12, and 31 respectively, what is
the value of x?
Answer:
11.
Step-by-step explanation:
A sandwich shop gives you the choice of 6 meats, 5 types of bread, 3 types of cheese, and 2 types of relish. How many different sandwiches can be made if you pick one choice from each option?
Answer:
180
Step-by-step explanation:
6(5)(3)(2) = 180
What is the equation of a circle with a center located at (-3, 4) and a diameter of 14?
Answer: (x + 3)^2 + (y - 4)^2 = 49
Step-by-step explanation:
The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2
Given: center (-3,4) ; h = -3 and k = 4
diameter = 14
To find the radius: divide the diameter by 2 = 14/2 = 7 = r
Center: (-3,4) and radius: 7
Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2
Substitute h = -3, k = 4, r = 7
(x - (-3))^2 + (y - 4)^2 = 7^2
Answer:
Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49
Can anyone help me please?
Step-by-step explanation:
5.slope=0
6.equation=y=5
7.slope=undefined(no Slope)
8.equation=x=-1
The solids are similar. Find the volume V of the red solid.
Answer:
13,564.8
Step-by-step explanation:
The ratio of the volumes of similar solids is the cube of the scale factor.
Scale factor:
red solid : blue solid = 12/10 = 6/5
Ratio of volumes:
volume red solid : volume blue solid = (6/5)^3
volume of red solid = 7850 ft^3 * (6/5)^3 = 13,564.8 ft^3
Answer: V = 13,564.8 ft^3
Help a girl out Jamal plans to attend a 4-year private university. He will receive $8,200 in scholarships and grants each year, and he will earn $1,900 each year through a work study program. Jamal's family will contribute $21,000 each year. How much will Jamal need to contribute?
Answer:
Jamal contribution = Total fee - scholarship & grant - study program earnings - family contribution
Step-by-step explanation:
Let total fee = x
Jamal contribution = x - 8200 - 1900 - 21000
= x - 31100
Her fee above & beyond 31100 will have to be arranged by Jamal's own contribution
(-2, 7) and (-2, 14)
Slope
Answer:
slope is undefined
A cat can eat 1/4 of a bag of food in 1/2 of a week. How much food can the cat eat in 1 week
Answer:
1/2 of a bag in a full week
Step-by-step explanation:
If they can eat a fourth of a bag and a half of a week then they can eat a half of a bag and a full week because to have is 1/4+1/4 which equals 1/2
2(1/5m-2/5)+3/5 Combine like terms to create and equivalent expression, please help :).
Answer:
Step-by-step explanation:
First, carry out the indicated multiplication. We get:
2m/5 - 4/5 + 3/5, which condenses to
2m - 1
2m/5- 1/5 or ---------------
5
Sarah will roll a fair number cube. The number cube is labeled 1 to 6. What is the probability that Sarah will roll a number greater than 2? HELP!
5/6
1/6
2/3
1/2
Answer:
5/6 or 4/6
Step-by-step explanation:
6-2=
4/6 -with out two
5/6 -including two
Solve for x, rounding to the nearest hundredth.
70 - 2^3x = 35
Answer:
x=4.375
Step-by-step explanation:
Answer:
x= 1.71
Step-by-step explanation:
We need to isolate x in the equation, first subtract 70 from the left side, so the equation is, -[tex]2^{3x\\}[/tex]=-35. There is a negative sign in both equations so we cancel them out so our equation is [tex]2^{3x\\}[/tex]=35. Now we use log, so our equation now looks like {log(35)/log(2)}/3=x. When we do it out we get that x=1.70976, and when rounded we get, x-1.71.
Sophia is going to invest $7,900 and leave it in an account for 6 years.
Assuming the interest is compounded monthly, what interest rate, to the
nearest hundredth of a percent, would be required in order for Sophia to end
up with $9,400?
Answer:
r= 2.90%
Step-by-step explanation:
delta math
In the figure name ALL the angles that are congruent to angle 8.
The angels that are congruent to 8 are 6, 3, 1.
The equation -x^2+4x-4=0 has no solutions
a. true
b. false
Answer:
true
Step-by-step explanation:
Let us calculate the determinant of this quadratic equation:
Δ = b^2 - 4ac = 16-4*(-1)*(-4) = 0
The equation has one solution
x = -b/2a = 2
How do I k1II myseIf painIessly? Please don’t try to make me feel better, i’ve heard a lot of phrases, it does not help. I want to get out of here, out of this worId.
Answer:
Learn to accept love. Or talk to me. I've dealt with this before, and I know I might not be the most reassuring, and maybe you don't care about me one single bit, but at least try. Despite what you think, there's got to be someone that wants you to remain alive.
Which graph shows an exponential function that nears a constant value as x approaches positive infinity and has a y-intercept at (0,3)?
A. X
B. Y
C. Z
D. W
Answer:
C. Graph Z is the correct answer
Step-by-step explanation:
It touches 0,3 and the right line is going towards infinite positive x’s
#plato
The exponent function of the graph will be W. Then the correct option is D.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ + c
Where c is the intercept.
Let the leading coefficient will be 1.
Then the equation will be
y = (b)ˣ + c
The exponent function has a y-intercept at (0, 3).
Then the exponent function is given as,
y = (b)ˣ + 2
Some points regarding exponent function.
The exponent function remains positive for the real value of the x.If the value of x approaches to the negative infinity, then the function tends to zero.If the value of x approaches to the positive infinity, then the function tends to infinity.At x = 0, the function interset the y-axis at (0, 3).The exponent function of the graph will be W.
Then the correct option is D.
More about the exponent link is given below.
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please help me with the question