Answer:
The answer is −13 /6 x−14.
Which is expression represents the phrase below?
8 less than the product of 6 and a number, x
8-6x
6x-8
(6x + x) - 8
8 - (6+x)
Answer:
3
Step-by-step explanation:
What is the value of (2/3)^3?
8/9
5/12
6/27
8/27
The random variable X has the following probability density function: fX(x) = ( xe−x , if x > 0 0, otherwise. (a) Find the moment generating function of X. (b) Using the moment generating function of X, find E[Xn] for all positive integers n. Your final answer should be an expression that depends only on n.
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
Given value:
[tex]\to f_X (x) \ \ xe^{-x} \ , \ x>0[/tex]
For point a:
Moment generating function of X=?
Using formula:
[tex]\to M(t) =E(e^{tx})= \int^{\infty}_{-\infty} \ e^{tx} f(x) \ dx[/tex]
[tex]M(t) = \int^{\infty}_{-\infty} \ e^{tx}xe^{-x} \ dx = \int^{\infty}_{0} \ xe^{(t-1)x} \ dx[/tex]
integrating the values by parts:
[tex]u = x \\\\dv = e^{(t-1)x}\\\\dx =dx \\\\v= \frac{e^{(t-1)x}}{t-1}\\\\M(t) =[\frac{e^{(t-1)x}}{t-1}]^{-\infty}_{0} -\int^{\infty}_{0} \frac{e^{(t-1)x}}{t-1} \ dx\\\\[/tex]
[tex]= \frac{1}{t-1} (0) - [\frac{e^{(t-1)x}}{(t-1)^2}]^{\infty}_{0}\\\\=\frac{1}{(t-1)^2}(0-1)\\\\=\frac{1}{(t-1)^2}\\\\[/tex]
Therefore, the moment value generating by the function is [tex]=\frac{1}{(t-1)^2}[/tex]
In point b:
[tex]E(X^n)=?[/tex]
Using formula: [tex]E(X^n)= M^{n}_{X}(0)[/tex]
form point (a):
[tex]\to M_{X}(t)=\frac{1}{(t-1)^2}[/tex]
Differentiating the value with respect of t
[tex]M'_{X}(t)=\frac{-2}{(t-1)^3}[/tex]
when [tex]t=0[/tex]
[tex]M'_{X}(0)=\frac{-2}{(0-1)^3}= \frac{-2}{(-1)^3}= \frac{-2}{-1}=2\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M''_{X}(t)=\frac{(-2)(-3)}{(t-1)^4}\\\\M''_{X}(0)=\frac{(-2)(-3)}{(0-1)^4}= \frac{6}{(-1)^4}= \frac{6}{1}=6\\\\M'''_{X}(t)=\frac{(-2)(-3)(-4)}{(t-1)^5}\\\\M''_{X}(0)=\frac{(-2)(-3)(-4)}{(0-1)^5}= \frac{24}{(-1)^5}= \frac{24}{-1}=-24\\\\\therefore \\\\M^{K}_{X} (t)=\frac{(-2)(-3)(-4).....(k+1)}{(t-1)^{k+2}}\\\\[/tex]
[tex]M^{K}_{X} (0)=\frac{(-2)(-3)(-4).....(k+1)}{(-1)^{k+2}}\\\\\therefore\\\\E(X^n) = \frac{(-2)(-3)(-4).....(n+1)}{(-1)^{n+2}}\\\\[/tex]
An experimental drug has been shown to be 75% effective in eliminating symptoms of allergies in animal studies. A small human study involving six participants is conducted. What is the probability that the drug is effective on half of the participants?
Answer:
[tex]P(x=3) = 0.1318[/tex]
Step-by-step explanation:
The question illustrates a binomial distribution and the given parameters are:
Given
[tex]n = 6[/tex] -- sample size
[tex]p = 0.75[/tex] --- probability of success
[tex]r = 3[/tex] --- half of the participant
Using the binomial probability formula, we have:
[tex]P_x = ^nC_xp^x(1-p)^{n-x}[/tex]
For x = 3, the probability is:
[tex]P(x=3) = ^6C_3*0.75^3 * (1-0.75)^{6-3}[/tex]
[tex]P(x=3) = 20*0.75^3 * 0.25^3[/tex]
[tex]P(x=3) = 0.1318[/tex]
What is the surface area of this wedge.?
Answer:
the surface area of the wedge is 360ft²
Step-by-step explanation:
6x5x3x4 = 360ft²
Petey set up an investment program using an annuity due with payments of $3,000 at the beginning of each quarter. Find the interest earned on the investment if he makes payments for 5 years into an account expected to pay 8% compounded quarterly.
A. $74,349.96
B. $14,349.96
C. $77,349.96
D. $17,349.96
Answer:
c
Step-by-step explanation:
you would do
m = money overall
(m*1.08) +3000= you would do that twelve times
Radius = 5 CD = 8 Find AE
Answer:
123
Step-by-step explanation:
213
Is the line through points P(2,-9) and Q(6, -13) perpendicular to the line through points R(5,-1) and
S(1,-5)? Explain
Answer:
yes they are perpendicular to eachother because when both the lines cross it makes a right angle 90 degrees making it perpendicular
Step-by-step explanation:
1/3 plus 1/4 so what is the answer
Answer:
The answer is 7/12
Answer:
7/12
Step-by-step explanation:
differentiate with respect to x the following functions y=6x²-4x+17
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the derivatives.
Hence, here
y = 6x^2 -4x +17
so, dy/dx = d(6x^2-4x+17)/dx
===> hence, dy/dx = 12x -4 ( used formula d(x^n) /dx = nx^n-1 )
======> dy/dx = 12x-4
Cory has received the following grades this term: 75, 87, 90, 88, 79. Find the mean
Answer:
83.8
Step-by-step explanation:
first you add the grades together: 75 + 87 + 90 + 88 + 79 = 419
then you divide by the amount of grades: 419 / 5 = 83.8
The gas tank in dad’s car holds 12 gallons. The gas tank in mom’s truck holds 50% more than that. How much gas does the truck’s tank hold?
Answer:
To calculate this you just have to calculate a rule of three with both gas tanks, so if the dad´s car holds 12 gallons of gas, and the mom´s car holds 50% more that means 150% of in the rule of three: So the total amount of gallons that the mom´s car tank can hold is 18 gallons.
Aiden is eating from the box of cereal shown. Find the total surface area of the box. cereal 13.5 in. 2.5 in. 8 in. Total surface area?
Answer:
Step-by-step explanation:
Two of the sides are 13.5 inches by 2.5 inches, two sides are 13.5 inches by 8 inches, and two sides are 2.5 inches by 8 inches.
Surface area = 2*13.5*2.5 + 2*13.5*8 + 2*2.5*8
is 4,320 grams greater than 4,32 kilograms ?
Answer: No, it is equal.
Step-by-step explanation:
No, small ....... otherwise your question is wrong......
=>4320/1000=4.32
////////////??????????
=>(,)-------(.).......4(.)32/4(,)32
Which is this?
2.
Find the products using
a. (5x - 2)(5x + 2)
Find the area of a circle with the diameter of 3 cm use 3.14 for pi
Answer:
47.065
Step-by-step explanation:
The formula for area of a circle is A = πr^2
Since the diameter is double the radius, divide 3 in half to get 1.5.
Then plug your numbers into the equation and remember to start with exponents.
3.14 x 1.5^2 or 3.14 x (1.5 x 1.5)
Answer:
7.07 cm
Step-by-step explanation:
Area of a circle = πr²
{diameter = 3 cm ; radius = 3/2 = 1.5 cm}
πr²
= 3.14 x (1.5)²
=3.14 x 2.25
= 7.07 cm (approx)
do you think this answer is referring to 11 or 12 ?
Answer:
11
Step-by-step explanation:
What is (8 + (−2) − 4) and (3 − 5)
Step-by-step explanation:
(8+(-2)-4)
=8-2-4
=2
(3-5)
=-2
Can someone help me please ?
Step-by-step explanation:
For A
The name of two similar triangles is ABC and CED.
For b
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Here
< BAC = < CED ( given)
<ACB = < ECD ( vertically opposite angles)
solve the equation for x and list all possible value for x. [x-9]+2=5
absolute value.
Answer:
(4-9)+2=5
Step-by-step explanation:
hope it's it's right
HELP please!!!!!!!!!!
Find the missing angle measure(s).
Yº
Z
X
43°
W
Answer:
90°grados es la respuesta
50 points i need the answer asap
81x - 63i > 3 (27x - 63u)
the answer would be,
[tex]u > \frac{3x}{7} - \frac{9x - 7i}{21} [/tex]
sorry. if wrong.
but hope it helps anyways.
help follow the polyas method
Answer:
Step-by-step explanation:
Understanding the problem:
x -----> number of munchkins
y -----> number of yema
Devise a plan:
x + y ≥ 10
3x + 2y ≥ 50
Carry out:
y ≥ -x + 10 ------------(I)
3x + 2y ≥ 50
2y ≥ -3x + 50
y ≥ [tex]\frac{-3}{2}+\frac{50}{2}[/tex]
[tex]y \geq \frac{-3}{2}x + 25[/tex]
Answer:
Understanding the problem:
x -----> number of munchkins
y -----> number of yema
Devise a plan:
x + y ≥ 10
3x + 2y ≥ 50
Carry out:
y ≥ -x + 10 ------------(I)
3x + 2y ≥ 50I’ll mark u as brainliest!!! Where could point E be located on the coordinate plane ?
It is located in quadrant 4 hope this helps
yup if I'm not mistaken it's supposed to be iv
8 7/8+(7 5/6 - 2 1/3)?
I need it in its simplest form.
I don't know what's the ten but anyway, "Roberta bought 9/10 pound of raisins. She put 2/5 pound in bags for her lunch. How many 2/5-pound bags can Roberta fill? Does she have any left over?" what is the other answer?
Answer:
She can put fill 2 “2/5 pound bags” and will have 1/5 pounds of raisins remaining.
Step-by-step explanation:
First we change the 2/5 into common denominators by multiplying by 2 and we go from 2/5–>4/10. Now that we have this we can see how many times 4 goes into 9 which is 2 so we know that she can fill 2 “2/5 pound bags.” But 4/10x2=8/10 and since we have 9/10 pounds of raisins we subtract 8/10 from 9/10 to get a difference of 1/10. So we have 1/10 pounds of raisins remaining and she can fill 2 full bags of “2/5 pound bags.”
PLEASE HELP ASAP 50 PTS, Please explain answer (:
Answer:
0.3²+3
=3.27
Step-by-step explanation:
please mark me as brainliest
Can some one please help me?
First one: 7
Second one: 22
Third one: 137
Hope this helps.
WHAT IS 1/2 + 3/4 PLZ ANSWER REALLY REALLY URGENT!!!!!!!!!!!!!
Answer: it is 1.25
hope i helped
Answer:
1.25
Step-by-step explanation:
yeah