Answer:
a) The value of A = 2
b) The value of [tex]B = \dfrac{1}{12}[/tex]
Step-by-step explanation:
a)
Given that:
X should be the random variable that assumes only positive integer values.
The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.
Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]
This implies that:
[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]
[tex]A \times \dfrac{1}{2}=1[/tex]
A = 2
Thus, the value of A = 2
b)
Suppose X represents a e constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3
Then, the density function of x is:
[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]
where; B is constant.
Then, using the property of the probability density function:
[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]
Taking the integral, we have:
[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]
[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]
[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]
B [ 9 +3 ] = 1
B [ 12 ] = 1
Divide both sides by 12
[tex]B = \dfrac{1}{12}[/tex]
Is -7 rational Helppppppp
Answer:
Rational numbers are fractions composed of integers. An integer is a number with no fractional part. So 7/8 is a ratio of whole numbers, which makes it rational. Negative or positive does not matter.
Step-by-step explanation:
A square has a perimeter of 20x + 36. Write a simplified expression for the side length of the square.
Answer: 5x+9
Step-by-step explanation:
P=perimeter. s=side length.
P=4s
20x + 36=4s
s=5x+9
Jennifer invests $7,000 in an account for 12 years that pays compound interest
annually. She uses the expression P(1 + r) to find the total value of the account.
What will be the total value of the account after 12 years if the interest rate is 1.6%?
Answer:
The rule is P(1+r%) power of time (T) so you're gonna apply the number to the rule
Step-by-step explanation:
P=7000
r=1.6%
T=12
7000 x (1+r%) power of T
(1+1.6%) power of 12 = 1.20983040
so when we calculate 7000 x (1+1.6%) power of 12
the answer will be = 8468.812846
Please help. I will give you brainlest
Answer:
B or C one of those
Step-by-step explanation:
Question 1 of 10
Which algebraic expression represents this phrase?
the product of 40 and the distance to the finish line
OA. 40-d
OB. 40+ d
OC. 40-d
D. 4000
Answer:
None of the option match the answer
40 × d
Step-by-step explanation:
The product of two numbers is the result you get when you multiply them together. so product of 40 and d is 40×d
In New Mexico, the World's Tallest Taco, which stands at a height of 356.78 feet, slowly sinks to the ground at a rate of 0.66 feet per year. After 15 years, how tall will the Taco be?
A teacher bought a packet of 17 batteries. Each calculator uses 3 batteries. How many calculators can the teacher fill with batteries? *
Answer:
The teacher can fill 5 calculators
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3
6
9
13
15
past 5 there would be a remainder.
Math! Please give me the answer and EXPLAIN how you got it. (I need both)
Answer:
it's A. sis :)))) time 7 to (2x + 8)
can you put this into least to greatest -85m -2.4m 0m 1011m 88m
Answer:
-85m, -2.4m, 0m, 88m, and 1,011m
Step-by-step explanation:
Solve each system by substitution
4y - 6 = 2x
y- 3x=9
Answer:
your answer is -3,0
Step-by-step explanation:
if you wanna check you can plug it into the bottom equation y -3(-3) =9
so 9=9 which is a true statement
1.
ENGINEERING At an engineering school, students are challenged to design
a container that prevents an egg from breaking when dropped from a height of
50 feet. Write an equation giving a container's heighth (in feet above the
ground after t seconds. How long does the container take to hit the ground?
Answer:
b
Step-by-step explanation:
b
plz help thanks . uh idk what to write but it’s making me write
Answer:
A, 4, -1
It's reflected over the y-axis, so it goes to the right side.
Answer:
a (4,-1)
Step-by-step explanation:
A is the answer.
The quotient of n and 12 subtracted from 100?
Answer:
100 - 12/n
Step-by-step explanation:
quotient means division so
12/n
and subtracted from means say x - 12/n so
100 - 12/n
If you're looking to evaluate it then it would be
4(25n - 3) / n
Suppose r(140", P)(A) = B and
(RED 0 Rød) (A) = B, what is mZCPD?
Answer:
70
Step-by-step explanation:
The degree measure of two consecutive angles of a rhombus are represented by 5x+10 and 3x+50 find x
Answer:
23
Step-by-step explanation:
Evaluate A^2-B^2 for A = 3 and B = -4
A.) -7
B.) -2
C.) 25
Answer:
A.) -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
A² - B²
A = 3
B = -4
Step 2: Evaluate
Substitute: 3² - (-4)²Exponents: 9 - 16Subtract: -73x = y and x - 2y = 10
Answer: Rewrite equations:
3x=y;x−2y=10
Step: Solve3x=yfor y:
3x=y
3x+−y=y+−y(Add -y to both sides)
3x−y=0
3x−y+−3x=0+−3x(Add -3x to both sides)
−y=−3x
−y
−1
=
−3x
−1
(Divide both sides by -1)
y=3x
Step: Substitute3xforyinx−2y=10:
x−2y=10
x−23x=10
−5x=10(Simplify both sides of the equation)
−5x
−5
=
10
−5
(Divide both sides by -5)
x=−2
Step: Substitute−2forxiny=3x:
y=3x
y=(3)(−2)
y=−6(Simplify both sides of the equation)
Step-by-step explanation:
The cost of taxi ride is 5 dollars plus 50 cents per mile write an algebraic expression that models the cost of taxi ride m miles
f(m) = 5 + 0.5m is the algebraic expression that models the cost of taxi ride.
Here, we are given that the cost of taxi ride is 5 dollars plus 50 cents per mile.
This means that-
the fixed cost = $5
variable cost = 50 cents per mile = $0.5 per mile
Let the number of miles travelled be m
then the variable cost will be = $0.5m
The total cost is given as-
total cost = fixed cost + variable cost
total cost = 5 + 0.5m
⇒ f(m) = 5 + 0.5m
here, m = miles travelled
and f(m) = total cost of the taxi ride
Hence, f(m) = 5 + 0.5m is the algebraic expression that models the cost of taxi ride.
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What is the written form of the decimal 0.68?
Richard took his driving test to get his license. Out of a 40-question test, he got 36
correct. What percent did Richard get incorrect?
Answer:
Richard got a 90% score on his quiz! Therefore, he got 10% of the questions incorrect.
Step-by-step explanation:
The method I used to find this answer was simply taking the amount he had gotten, 36, and dividing it by the initial amount of questions- 40. From there, I got 0.9, which is the equivalent of 90%. 100% minus 90% is 10%, so he got 10% incorrect. Sorry for the mishap, I didn't pick up that it was meant to be the amount incorrect. :)
Answer:
100 divide by 40 you get 2.5 multiply by 4 you should get 10 percent
Please please help me!!
Answer:
5/4x+1
Step-by-step explanation:
Which of the following represents the highest degree of relative performance?
Answer:
idek
Step-by-step explanation:
Help please!! I’ll give brainliest.
Answer:
1 and 2 . are functions, 3 and 4 are not.
Step-by-step explanation:
enter the correct answer
Answer:
The product of polynomial [tex](-2m^3+3m^2-m)(4m^2+m-5)[/tex] is [tex]\mathbf{-8m^5+10m^4+9m^3-16m^2+5m}[/tex]
Step-by-step explanation:
We need to find the standard form of polynomial that represents the product of [tex](-2m^3+3m^2-m)(4m^2+m-5)[/tex]
Finding the product of polynomial
[tex](-2m^3+3m^2-m)(4m^2+m-5)\\=-2m^3(4m^2+m-5)+3m^2(4m^2+m-5)-m(4m^2+m-5)\\=-8m^5-2m^4+10m^3+12m^4+3m^3-15m^2-4m^3-m^2+5m\\Combining\:like\:terms\\=-8m^5-2m^4+12m^4+10m^3+3m^3-4m^3-15m^2-m^2+5m\\=-8m^5+10m^4+9m^3-16m^2+5m\\[/tex]
So, the product of polynomial [tex](-2m^3+3m^2-m)(4m^2+m-5)[/tex] is [tex]\mathbf{-8m^5+10m^4+9m^3-16m^2+5m}[/tex]
What are the two equations to set up to solve the equation |2x−3|=11
The two equations to set up to solve |2x−3|=11 are 2x − 3 = 11 and 2x − 3 = -11
Hence, option C)2x − 3 = 11 and 2x − 3 = -11 is the correct answer.
What are the two equations to set up to solve the equation |2x−3|=11?Given the equation in the question;
| 2x − 3 | = 11
To solve the equation, we have to remove the absolute value term and this will create the a ± on the right side of the equation.
Note that; |x| = ±x
Hence;
| 2x − 3 | = 11
2x − 3 = ±11
The solution of the equation is the result of both the positive and negative portions of the of the solution.
2x − 3 = 11 and 2x − 3 = -11
Therefore, the two equations to set up to solve |2x−3|=11 are 2x − 3 = 11 and 2x − 3 = -11
Hence, option C)2x − 3 = 11 and 2x − 3 = -11 is the correct answer.
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The predetermined manufacturing overhead rate for a company will generally be:______
A. Higher than actual manufacturing overhead rates
B. Based on monthly budgets
C. Lower than actual manufacturing overhead rates
D. Based on annual budgets
Answer: D. Based on annual budgets
Step-by-step explanation:
The predetermined manufacturing overhead rate for a company will based on the annual budgets.
The predetermined overhead rate is usually calculated during the beginning of an accounting period and this is gotten by dividing the manufacturing overhead that has been estimated by an estimated activity base. It is used in the application of the manufacturing overhead to the job orders.
16 - 4x = 6x – 8x + 2
NEED! ANSWER HELP! PLEASE;
The midpoint between two points is (-16 12). of one endpoint is (-24 8) then the other is (-8,
A) 10
B) 12
C) 14
D) 16
Answer:
16
Step-by-step explanation:
The correct answer is option D which is the coordinate will be 16.
What is the midpoint?The mid point of the line is defined as the center point of any line it means that the distance of this point is same from the one end and to the other end.
Given that:-
The midpoint between two points is (-16 12). of one endpoint is (-24 8) then the other is (-8,The formula for calculating the midpoint of the line for the y coordinate will be:-
Ym= ( y1 + y2 ) / 2
12 = ( 8 + y2) / 2
24 = 8 + y2
y2 = 24 - 8
y2 = 16
Therefore the correct answer is option D which is the coordinate will be 16.
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What is the equivalent radical expression for the exponential expression
below?
181/2
Answer: Use this rule to change the term to a radical:
x
1
n
=
n
√
x
18
1
2
⇒
2
√
18
⇒
√
18
We can simplify this expression, if necessary, by using this rule for radicals:
√
a
⋅
b
=
√
a
⋅
√
b
√
18
⇒
√
9
⋅
2
⇒
√
9
⋅
√
2
⇒
3
√
2
Step-by-step explanation:
The equivalent radical expression for the exponential expression [tex]18^{1/2}[/tex] will be √18.
What is under root?
The positive number, when multiplied by itself, represents the square of the number.
Under the root of any number gives a number by which if we multiply by the same number then it will give us the same number.
For example √4 =2
If we multiply 2×2 then it gives us 4.
√x is also written as [tex]x^{1/2}[/tex]
So,
[tex]18^{1/2}[/tex] ≡ √18 o will be the correct term in the radical expression.
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-1/2 w -3/5= 1/5 w...
Answer:
w= (-6/7)
Step-by-step explanation:
Answer:
w = -6/7
Step-by-step explanation:
−
10
7
(
−
7
a
10
)
=
−
10
7
⋅
3
5