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]
Write your answer with no spaces and any friction with “/“
Answer:
y=-5/3x+1
Step-by-step explanation:
The answer is y=-5/3x+1 because you would do the exact opposite of rise over run where it rises 5 units up and 3 units shifted right but instead it is still 3 units that are shifted to the right but 5 units down. We can also assume that the y-intercept is 1 based on where the slope is placed.
what is 1(0b+10a) ???????????????????
Answer:
10b+10a
Step-by-step explanation:
Answer:
The answer is 10a
Step-by-step explanation:
(1)(0b+10a)
=(1)(0b)+(1)(10a)
=0+10a
=10a
Hope this helps :)
Determine slope of any line perpindicular to GH. (-1,2) (-2,-1)
Answer:
Perpendicular slope = – 1/m = -1/3 = -1/3
Step-by-step explanation:
Given the points
(-1,2)(-2,-1)[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:2\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)[/tex]
[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]
[tex]m=\frac{-1-2}{-2-\left(-1\right)}[/tex]
[tex]m=3[/tex]
We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:
slope = m = 3
perpendicular slope = – 1/m = -1/3 = -1/3
Thus, the slope of any line perpendicular to GH = -1/3
A rectangular piece of cardboard measures 16 cm by 13 cm. What is the perimeter of the piece of cardboard?
Answer:
fifty eight centimeters I believe
Answer:
58cm
Step-by-step explanation:
a rectangle has two of the same sides so 16×2=32
and
13×2=26
so
32+26=58
Susan is buying juice for a party. She wants to buy as many bottles of juice as possible, but she only has $10.00 to spend. If each bottle of juice costs $1.35, how can Susan calculate the number of bottles that she can buy?
A.Divide $10.00 by $1.35, and round the quotient down to the nearest whole number.
B.Divide $10.00 by $1.35, and round the quotient up to the nearest whole number.
C.Divide $1.35 by $10.00, and round the quotient down to the nearest whole number.
D.Subtract $1.35 from $10.00, and round the difference down to the nearest whole number.
GIVING BRAINLIEST
Answer:
A
Step-by-step explanation:
Answer:
A because $10 needed to be divided by $1.35 and and the rounding is needed to get the answer
I need help, I got 80 and 90 but it said I was wrong...
Answer:
I think it is 90 and 100
Step-by-step explanation:
I used this equation: x is the speed of the slower train
910 = (5x + 10) + 5x
Answer:
The answer is 86 and 96 mph
Step-by-step explanation:
Givens
Train A
Distance traveled = d
time taken = 5 hours
rate traveled = r
Train B
Distance traveled = 910 - d
time taken = 5 hours
rate = r + 10
Formula
basically d = r * t
Solution
Train A: d/r = 5 or d = 5*r
Train B = (910 - d)/(r + 10) = 5 or
Substitute d = 5*r into Train B
(910 - 5*r)/(r + 10) = 5 Multiply both sides by r + 10
(910 - 5r) = 5 * (r + 10) Remove the brackets on both sides
910 - 5r = 5r + 50 Add 5r to both sides
910 = 5r + 5r + 50
910 = 10r + 50 Subtract 50 from both sides
910 - 50 = 10r Combine the left
860 = 10r
10r = 860 Divide by 10
r = 860/10
r = 86
r + 10 = 96
Check
Train A distance: 5*r = 5 * 86 = 430
Train B distance: 5*r = 5 * 96 = 480
Total = 910
which is greater 0.25 or 0.04
Answer:
0.25
Step-by-step explanation:
ez
Answer:
.25
Step-by-step explanation:
what is equivalent to 3 and 1/4 minus negative 5/8
Answer:
31/8
Step-by-step explanation:
3/1/4 - (-5/8)
13/4 + 5/8
find Lcm of 4 and 8 = 8
multiply their common factors with numerators.
13*2 + 5*1 = 31
=31/8 or 3/7/8 or 3.875
Answer:
3 and 7/8
Step-by-step explanation:
3 1/4 - ( - 5/8 ) = x
13/4 + 5/8 = x
26/8 + 5/8 = x
31/8 = x
x = 3 7/8
given s=3x+t/r, rearrange the equation for x, in terms of r,s, and t
9514 1404 393
Answer:
x = (rs -t)/(3r)
Step-by-step explanation:
[tex]s=3x+\dfrac{t}{r}\\\\s-\dfrac{t}{r}=3x\\\\\dfrac{rs-t}{3r}=x\\\\\boxed{x=\dfrac{rs-t}{3r}}[/tex]
Simplify.
(3x2 + 8x)(2x − 2)
A. 6x3 + 10x2 − 16x
B. 6x3 + 16x2 − 6x − 16
C. 6x2 + 10x − 16
D. 5x2 + 10x − 16
Answer:
6x3+10x2−16x or A
Step-by-step explanation:
I used an algebra calculator because im too lazy to work it out.
^algebra^
(3x2 + 8x)(2x − 2)
=3x²(2x-2)
=6x³ - 6x²
+8x(2x - 2)
=16x² - 16x
put it all together
=6x³ - 6x² + 16x² - 16x
group according to variables, then count
6x³ + (-6x² + 16x²) - 16x
=6x³ + (+10x²) - 16x
=6x³ + 10x² - 16x
FINALLY FOUND, MODERATOR!Applications of Quadratic Functions. Please help! Ignore C. I keep getting imaginary numbers. Am I supposed to get imaginary numbers? 9 points!
Answer:
Step-by-step explanation:
1.
a)
Find the vertex by completing the square to answer both a and b
d)
x-ints is when y=0
so use quadratic equation for
b^2-20b+200=0
a=1
b= -20
c=200
But notice these imaginary numbers means 0 x intercepts.
Don’t worry about number three just tell me the answer to number 1
Answer 3 1 /2 in decimal it is -3.5
Step-by-step explanation:
2(7m−5)+(−8+9m)=?
Does anybody know what the answer to this question is?
If you know, please tell me. I'm really in a hurry.
Answer:
23m-18
Step-by-step explanation:
2(7m−5)+(−8+9m)
Remove parenthesis
2(7m-5)-8+9m
expand
14m-10
14m-10-8+9
simplify
23m-18
Ask me for more questions brainliest please.
Larry recorded his time as he ran. What was his average speed from hour 2 to hour 4?
Answer:
4-2=2
Step-by-step explanation:
Answer:
7 mph
Step-by-step explanation:
i took the same test on edg
40% of N is 80. Find N
Answer:
i think N=32
Step-by-step explanation:
a plant measured x inches tall this week
HELP ASAP ILL GIVE BRAINLIST
Answer:
Rotation of 270 degrees counterclockwise about the origin
Step-by-step explanation:
i need help asap what is 12g + 9g
Answer:
21 g
Step-by-step explanation:
you add 12g by 9g and you get 21g
Answer:21g
Step-by-step explanation: The answer is 21g
Jenny puts 8 stickers on each page of her notebook she uses 72 stickers in. which equation can be used to find the number of pages of stickers in Jennys notebook
1. Classify the triangle shown to the right.
A. Right, Scalene
B. Acute, Isosceles
97
C. Obtuse, Scalene
13°
70
D. Equiangular, Equilateral
Plz, answer. Will mark brainiest. Please! 50 points!!!
Answer:
12%
Step-by-step explanation:
Original = $874,990
New = $769,991
874,990 - 769,991/874,990
104,999/874,990
0.12
Turn to percentage
0.12 * 100
= 12%
Answer:
12%
Step-by-step explanation:
Given:
Original list price = $874,990New list price = $769,991Percent change formula
[tex]\sf percent\:change=\left|\dfrac{final\:value-initial\:value}{initial\:value} \right|\times 100[/tex]
Substitute the given values into the formula:
[tex]\begin{aligned}\implies \sf percent\:decrease & = \sf \left|\dfrac{769991-874990}{874990} \right|\times 100\\& = \sf 0.1200002286 \times 100\\& = \sf 12.00002286... \\& = \sf 12\% \end{aligned}[/tex]
Therefore, the Percent of Decrease (markdown) to the nearest percent is 12%.
It’s not 4 feet of snow that is 60% of snow that will fall. how much snow will fall??
Answer:
60% of snow
Step-by-step explanation:
A polynomial function of the root of -6 wth multipcily 1, a root of -2 with multiplicity 3, a root of 0 wth multiplicity 2, and a root of 4 wth multiplicity 3. If the function has a positive coefficient and is of odd degree, Which statement about the graph is true?
You can drive your car 21.7 miles with one gallon of gasoline. At that rate, how many miles can you drive with 13.2 gallons of gasoline?
PLEASE ANSWER ASAP
Answer:
286.44 miles........
u= a-k-b solve for a
Answer:
a = b + k + u
Step-by-step explanation:
hope this helps
answer correctly!!!!
Answer:
Y= 0
Step-by-step explanation:
Because y=4 it would be a straight horizontal line so the other line would have to be horizontal
12. Stephanie dilated the rectangle and the
dimensions of the image were 24 feet by 6 feet.
What was the scale factor used?
Answer:
The scale factor should be 4
Step-by-step explanation:
sry if it is wrong i needed pionts and had the same problem hope this helps though ((((P:))))))
Answer:
3/4...............
Step-by-step explanation:
have a nice day
Convert 48 2/5 into a decimal
Answer:
48 and 2/5 converted into decimal form is 48.4
Answer:
[tex]48.4[/tex]
Step-by-step explanation:
[tex]48 \frac{2}{5} \\ \frac{242}{5} \frac{ \times 20}{ \times 20} = \frac{4840}{100} \\ = 48.4[/tex]
For every dog there are 3 cats at the pet store. What’s the ratio?
Answer:
1 : 3, 1/3, 1 to 3
Step-by-step explanation:
if there is 1 dog, the first digit is 1
if there is 3 cats, the first digit is 3
1:3
$1,000 is borrowed at an interest rate of 8% per year.
a. How much is owed at the end of one year if interest is compounded:
i. monthly?
ii. continuously?
b. How much is owed at the end of three years if interest is compounded
continuously?
Answer:
1 (240000)
2 (8000)
3(8160000)