Answer:
Step-by-step explanation:
From the given information:
The number of different license plate the country can produce is in the form:
=L₁L₂L₃L₄ or L₁L₂L₃L₄L₅ or D₁L₁L₂L₃L₄ or D₁L₁L₂L₃L₄L₅
∴
The Total number of the license plate that can be produced is;
= 26⁴ + 26⁵ + (10 × 26⁴) + (10 × 26⁵)
= 456976 + 11881376 + 4569760 + 118813760
= 135721872
Number of license plate with no repeated letter = P(26,4) + P(26,5) + 10 P(26,4) + 10 P(26,5)
= 11 P(26,4P + 11 P(26,5)
[tex]=11 \times \dfrac{26!}{(26-4)!} + 11 \times \dfrac{26!}{(26-5)!}[/tex]
= 90776400
c) The number of the licensed plate with 1 repeated letter = Total number of the licensed plate - number of the licensed plate with no repeated letter.
= 135721872 - 90776400
= 44945472
d) The probability that a licensed plate has repeated letter is:
[tex]= \dfrac{no(rep \ letter) }{n (total)} \times 100\%[/tex]
[tex]= \dfrac{44945472}{135721872}\times 100\%[/tex]
= 33.12%
A) The country can produce 118,813,760 different licence plates.
B) 78,936,000 license plates have no repeated letter.
C) 39,877,760 license plates have at least one repeated letter.
D) The probability that a license plate has a repeated letter is 33.56%.
Given that in a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the Roman alphabet, to determine (A) how many different license plates can the country produce; (B) how many license plates have no repeated letter; (C) how many license plates have at least one repeated letter; and (D) what is the probability that a license plate has a repeated letter, the following calculations must be performed:
A)
10 x 26 x 26 x 26 x 26 x 26 = X 10 x 11,881,376 = X 118,813,760 = X
B)
10 x 26 x 25 x 24 x 23 x 22 = X 10 x 7,893,600 = X 78,936,000 = X
C)
118,813,760 - 78,936,000 = X 39,877,760 = X
D)
118,813,760 = 100 39,877,760 = X 39,877,760 x 100 / 118,813,760 = X 33.56 = XLearn more about quantities in https://brainly.com/question/12161780
I need help ASAP it’s the one with the distributive property
Answer:
6 × (7 + 9) = (6×7)+(6×9)
For which value of p will the equation 6x – 5 = 6x + p have an infinite number of solutions?
A. 5
B. 0
C. -10
D. -5
Answer:
the answer is b
Step-by-step explanation:
Find the equation of the line. The line is parallel to y=-6/7x +1 and passes through the point (-7, -3). The equation of the line is y=
Answer:
same slope but the y- intercept would be -9
The height distribution of NBA players follows a normal distribution with a mean of 79 inches and standard deviation of 3.5 inches. What would be the sampling distribution of the mean height of a random sample of 16 NBA players?
Answer:
The probability will be "0.0111".
Step-by-step explanation:
The given values are:
Mean,
[tex]\mu[/tex] = 79
Standard deviation,
[tex]\sigma[/tex] = 3.5
Now,
⇒ [tex]\sigma\bar x = \frac{\sigma}{\sqrt n}[/tex]
[tex]= \frac{3.5}{\sqrt 16}[/tex]
[tex]=0.875[/tex]
⇒ [tex]P(\bar x > 81) = 1 - P(\bar x < 81)[/tex]
So,
= [tex]1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x} < \frac{(81 - 79) }{0.875} ][/tex]
= [tex]1 - P(z < 2.2857)[/tex]
= [tex]0.0111[/tex]
You have $20 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=20$ represents this situation, where x is tubes of lip balm and y is bottles of hand sanitizer. How many bottles of hand sanitizer can you buy when you do not buy any tubes of lip balm?
Answer:
13
Step-by-step explanation:
20÷1.5 since there is not X
what is 9- 3/1/3 + 1 ?
Answer:
1
Step-by-step explanation:
There are 1/3•9=3, so 3÷1/3=9.9-9=00+1=1The value of the expression 9 - 3/1/3 + 1 will be 1.
What is Mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 9 - 3/1/3 + 1
Now,
Solve the expression as;
The expression is,
⇒ 9 - 3/1/3 + 1
⇒ 9 - 3 × 3 + 1
⇒ 9 - 9 + 1
⇒ 1
Thus, The value of the expression 9 - 3/1/3 + 1 will be 1.
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Select the correct months.
The balance of Jim's account on the first day of the month for the first six months of 2013 is given. Identify the months when the balance was
less than the balance in January.
Please answer.
Answer:
June I got u bro it was easy but there u got
Answer:
june,april,march
Step-by-step explanation:
yeeeeeeeeeeeeeeee i <3 waaaaaaaaafuls
The larger of two numbers is four more than three times the smaller. Two times the smaller, increased by five, results in the larger. What are both numbers?
Answer:
Determine the area of the archway with a semicircle top arch and two rectangular pillars.
The lower supports are
✔ congruent rectangles
and the area of the two supports is
✔ 24
square meters.
The upper arch can be decomposed as one semicircle with radius
✔ 6
meters minus a semicircle with radius 3 meters.
The area of the archway is (
✔ 13.5
π + 24) square meters.
Step-by-step explanation:
A package of markers include three box markers and nine colored markers what percent of the markers in the package are color markers
Answer:
66.666%
Step-by-step explanation:
*that is the actual answer*
*i'm not summoning Satan*
Answer:\ Yes, they are color markers.
Step-by-step explanation:
hope this helps!!
What is the equation of this graphed line? Enter your answer in the slope-intercept form in the box.
Answer:
y = 2x + 2
Step-by-step explanation:
Answer: y=2x+2
Step-by-step explanation:
A woman who weighs 160 pounds on earth weighs 30 on the moon. If a boy weighs 60 pounds on earth , how much dose he weigh on the moon.
Answer:
10 pounds
Step-by-step explanation:
Match each equation with its graph
Answer:
The first graph would be y=5x+2
The second graph would be y=3x+3
The third graph would be y=2x+3
Step-by-step explanation:
First Graph: The x-intercept would be (-0.4, 0). The y-intercept would be (0, 2). The line in the graph goes through both of the points.
Second Graph: x = -1.
y=3
The line in the graph goes through both.
Third Graph: x = -1.5
y = 3
The line also goes through both.
the perimeter of a rectangle is at most 66 inches. the length is 2x + 6 inches and the width is x - 3 inches. write and solve an equation or inequality to find the value of x.
Answer:
Step-by-step explanation:
2( 2x + 6 ) + 2( x - 3 ) ≤ 66
3x - 3 ≤ 33
x ≤ 10
x ∈ ( - ∞ , 10]
Answer:
12
Step-by-step explanation:
that is the answer
A shelf holds 12 books in a row. How many ways are there to choose five books so that no two adjacent books are chosen
Answer:
792 ways
Step-by-step explanation:
We can solve this using the combination formular
[tex]nCr= \frac{n!}{r!(n-r)!}[/tex] where n represents the total number of objects/items, and r represents the number of items being chosen at a time.
Hence, in this case, n = 12, r = 5, which is = [tex]nCr= \frac{12!}{5!(12-5)!}[/tex] = 792.
Therefore, there are 792 ways to choose five books so that no two adjacent books are chosen.
Which of the following describes the roots of the polynomial function f (x) = (x + 2) squared (x minus 4) (x + 1) cubed?
–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3
–2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4
2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3
2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4
Answer:
A
Step-by-step explanation:
[tex]f(x) = (x + 2)^2(x-4)(x + 1)^3[/tex]
x+2=0
x+2-2=0-2
x=-2.....(x+2) was squared...exponent of 2...multiplicity of 2
x-4=0
x-4+4=0+4
x=4....(x-4) has no visible exponent which means it is essentially to the power of 1...multiplicity of 1
x+1=0
x+1-1=0-1
x=-1....(x+1) was cubed...exponent was 3...multiplicity of 3
The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct.
What are the roots of an equation?The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.
For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.
As per the given function,
f(x) = (x + 2)²(x - 4)(x + 1)³
The roots are the points at which the value of the function is zero.
f(x) = 0
(x + 2)²(x - 4)(x + 1)³ = 0
(x + 2)² = 0
x = -2 (with a multiplicity of 2)
(x - 4) = 0
x = 4 (with a multiplicity of 1)
(x + 1)³ = 0
x = -1 (with a multiplicity of 3)
Hence "The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct".
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Linear or nonlinear
Answer:
I think its linear so I dont know 100% but I think it's a sorry if I'm wrong
Answer:
linear
Step-by-step explanation:
it is in y=mx+b form. also it forms a straght line
On average, 2.8 babies are born each day at a local hospital. Assuming the Poisson distribution, what is the probability that no babies are born today?
Answer:
The probability is [tex]P(X = 0) = 0.6997[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 2.8[/tex]
Generally the Poisson distribution constant [tex]\lambda[/tex] is mathematically represented as
[tex]\lambda = \frac{1}{\mu }[/tex]
=> [tex]\lambda = \frac{1}{2.8 }[/tex]
=> [tex]\lambda = 0.3571[/tex]
Generally the probability distribution for Poisson distribution is mathematically represented as
[tex]P(X = x) = \frac{(\lambda t)^x e^{-t \lambda}}{x!}[/tex]
Here t = 1 day
Generally the probability that no babies are born today is mathematically represented as
[tex]P(X = 0) = \frac{(0.3571 * 1 )^0 e^{-1 * 0.3571}}{0!}[/tex]
=> [tex]P(X = 0) = 0.6997[/tex]
endrick walked 5 12 of a mile in 1 2 of an hour. How fast did he walk?
What is the distance between points P(8, 5) and Q(2,-3) to the nearest tenth?
2 (43 – 1) +6
Most equivalent
Answer:
90
Step-by-step explanation:
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathbf{2(43 - 1) + 6}\\\\\mathbf{= 2(\boxed{\bf 42}) + 6}\\\\\mathbf{= \boxed{\bf 84} + 6}\\\\\mathbf{= 90}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{90}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity.
tan(x)sin(2x)
= tan(x)∙[2sin(x)cos(x)]
= StartFraction sine (x) Over cosine (x) EndFraction times 2 sine (x) cosine (x)
= 2sin2(x)
= 1 – cos(2x)
What are the correct justifications, listed in proper order?
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
Double Angle Identity, Simplify, Double Angle Identity, Quotient Identity for Tangent
Double Angle Identity, Simplify, Quotient Identity for Tangent, Double Angle Identity
Double Angle Identity, Quotient Identity for Tangent, Double Angle Identity, Simplify
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity
The following steps show how the right side of 1 – cos(2x) = tan(x)sin(2x) can be rewritten to show it is an identity is option A
Double Angle Identity, Quotient Identity for Tangent, Simplify, Double Angle Identity.
What is double angle identity?The sin2x formula is the double angle identity used for sine function in trigonometry. Trigonometry is a branch of mathematics where we study the relationship between the angles and sides of a right-angled triangle. The formula for sin2x: sin2x = 2 sin x cos x (in terms of sin and cos)
Given
1 – cos(2x) = tan(x)sin(2x)
Taking R.H.S
tanx.sin2x
= tanx(2 sinx cosx)
2 sinx cosx is a double angle identity
= [tex]\frac{sinx}{cosx} .(2 sinxcosx)[/tex]
[tex]\frac{sinx}{cosx}[/tex] is a quotient identity for tangent
= [tex]2sin^{2} x[/tex]
We have simplify by cancelling out cosx.
= 1 - cos(2x)
It is a double angle identity.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
its the first third and fith
Step-by-step explanation:
x/4-6=2 simplify the following two step equation
Answer:
First, collect the like terms by one side
x/4=2+6
x/4=8
Then, criss-cross it, which means multiply 4 with 8
x=4×8
x=32
Step-by-step explanation:
I hope this is the answer to your question, if it helped you, please give me brainliest
Please help
Solve the equation sqrt(x + 3) + 4 = 5 for the variable. Show each step of your solution process. (10 points)
Answer:
x=-2
Step-by-step explanation:
sqrt(x+3)+4=5
sqrt(x+3)=1
x+3=1
x=-2
In the expression, the value of variable x is - 2.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ √(x + 3) + 4 = 5
Now, We can solve the expression for x as;
⇒ √(x + 3) + 4 = 5
Subtract 4 both side, we get;
⇒ √(x + 3) + 4 - 4 = 5 - 4
⇒ √(x + 3) = 1
Taking square both side,
⇒ (√(x + 3))² = 1²
⇒ x + 3 = 1
Subtract 3 both side,
⇒ x + 3 - 3 = 1 - 3
⇒ x = - 2
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What is a number that when you multiply it by 8 and subtract 12 from the product, you get 76?
Equation:
Solution:
Answer:
11
Step-by-step explanation:
Equation: 8x - 12 = 76
Add 12 to both sides
8x = 88
Divide both sides by 8
x = 11
Hope this helped :)
7. Find the value of x and y:
x=
y=
(10x - 61)
(18y + 5)º
(x + 10)
Answer:
y = 8º
y = 8º
Step-by-step explanation:
Given:
(10x - 61)º
(18y + 5)º
(x + 10)º
Find:
x and y
Computation:
(10x - 61) + (x + 10) = 180
11x - 51 = 180
11x = 231
x = 21º
(10x - 61)º = (18y + 5)º [Vertical opposite angle]
10x - 61 = 18y + 5
10x - 18y = 66
5(21) - 9y = 33
y = 8º
I need help on this angle measurement paper
9
Use the graph to answer the following questions.
D
175
150
(4.150)
125
Total Cost
100+
(2.100)
75
50 10.50
25
Days
Part C: Write the equation for the line if x = the number of days and y = the total cost.
So
IM 2020
10
Use the graph to answer the following questions.
a
Your equation for the first point will be y=x+50
Explanation...
The x is zero so we just only put x. The y is 50 so we input a 50 giving us y=x+50.
Your equation for the second point will be y=2x+100.
Explanation...
Your slope is 2 so we input that and the y intercept is 100 giving us the equation y=2x+100.
Your equation for the third point will be y=4x+150
Explanation...
Your slope is 4 so we input that. Your y intercept is 150 so we input that. It gives us the equation y=4x+150.
PLEASE HELP
Evaluate 6 + 10v – 8w when v=4 & w= -2
Answer:
6 + 10v – 8w = 62
Step-by-step explanation:
Given the expression
6 + 10v – 8w
as
v=4w=-2substituting the values in the expression
6 + 10v – 8w = 6 + 10(4) - 8(-2)
= 6 + 40 + 16
= 62
a recipe for cooking turkey says to allow 15 minute cooking for each pound of turkey and to add 5 minutes additional cooking time per pound if the turkey is stuffed. this turkey weighs 15 pounds and will be stuffed. after cooking, the turkey will need 1/2 hour wait time for cooling and carving. what is the independent and dependent
The doctor had the opinion about the boy that it world
hare been better is he had velict