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Equal 2.4 point of dilation
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Two claimants place calls simultaneously to an insurer's claims call center. The times X and Y, in minutes, that elapse before the respective claimants get to speak with call center representatives are independently and identically distributed. The moment generating function of each random variable is
M(t)= (1/11.5t)^2 , t < 2/3
Required:
Calculate the standard deviation of X + Y.
The moment generating function of each random variable is;
M(t) = (1/(1 - 1.5t))^(2), t < 2/3
Answer:
SD[X + Y] = 3
Step-by-step explanation:
For ease of differentiation, let's rewrite the M(t) function as;
M(t) = (1 - (3/2)t)^(-2)
Let's find the first derivative of the function;
M'(t) = 3(1 - (3/2)t)^(-3)
To get E[X], we will put 0 for t to get;
E[X] = 3(1 - (3/2)0)^(-3)
E[X] = 3
Now,let's find the second derivative of M(t)
M"(t) = (27/2)(1 - (3/2)t)^(-4)
At,t = 0, we will get E[X²]
Thus;
E[X²] = 27/2
Now, Var[X] = E[X²] - (E[X])²
Var[X] = (27/2) - 3²
Var[X] = 9/2
We are told that the times X and Y are independently and identically distributed. Thus, the sum of their variances is equal to the variance of their sum. This is expressed as;
Var[X + Y] = 9/2 + 9/2
Var[X + Y] = 9
Now,we know that square root of variance is standard deviation. Thus;
SD[X + Y] = √9
SD[X + Y] = 3
Write an equation in slope-intercept form of the line that passes through the points (7, – 4) and (3, -1).
y= blank x+ blank
Answer:
Step-by-step explanation:
y2-y1/x2-x1
-1-(-4)/3-7
3/-4
y=mx+b
For the y coordinate it can be either -4,or -1
-4=3/-4x+b
b=13/4
choose the correct simplification of the expression b^5 · b^4
Answer:
b⁹
Step-by-step explanation:
When multiplying terms with exponents, you simply add the exponents.
5 + 4 = 9
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
53 and 17
Step-by-step explanation:
If you add 53 and 17, you get 70.
If you subtract 17 from 53, you get 36. Hope this helps!
Find the volume of the cylinder. Round your answer to the nearest tenth
3 m
5 m
Answer:141.4
Step-by-step explanation:
C(x)=4x; R(x) = 6X-.001x²
Marginal cost?
Answer:
the answer is to commit uninstall
Step-by-step explanation:
gg wp
han want to buy a $30 ticket to a game, but the pre-oder tickets are sold out, he knowns there will be more tickets sold the day of the game, with a markup of 200% . how much should han expect to pay for the tickets if he buys it the dat of the game?
Answer: [tex]\$90[/tex]
Step-by-step explanation:
Given
The price of the ticket prior to match day is [tex]\$30[/tex]
It is stated that there is [tex]200\%[/tex] the markup on match day i.e.
The selling price of the ticket is
[tex]\Rightarrow S.P.=30+30\times 200\%\\\Rightarrow S.P.=30+30\times 2=30+60\\\Rightarrow S.P.=\$90[/tex]
So, han must expect to pay [tex]\$90[/tex] on that day
The daily revenue at a university snack bar has been recorded for the past five years. Records indicate that the mean daily revenue is $1200 and the standard deviation is $400. The distribution is skewed to the right due to several high volume days (football game days). Suppose that 100 days are randomly selected and the average daily revenue computed. Which of the following describes the sampling distribution of the sample mean?
a. skewed to the right with a mean of $1200 and a standard deviation of $400.
b. normally distributed with a mean of $1200 and a standard deviation of $40.
c. normally distributed with a mean of $1200 and a standard deviation of $400.
d. normally distributed with a mean of $120 and a standard deviation of $40.
Answer:
b. normally distributed with a mean of $1200 and a standard deviation of $40.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
Skewed to the right, mean 1200, standard deviation [tex]\sigma = 400[/tex]
Sample of 100 days:
By the Central Limit Theorem:
Approximately normal
Mean 1200
Standard deviation [tex]s = \frac{400}{\sqrt{100}} = 40[/tex]
The correct answer is given by option b.
*NEED HELP QUICKLY*
my son is doing a math assignment and he needs this done within the hour. i tried to help with it but math isn’t my strong suit.
Answer: undefined
Step-by-step explanation:
I think im not sure tho
Write each statement as a decimal to two decimal places.
$6.00 to 95 cents =
3 hours to 35 minutes =
42 inches to 2 feet =
Step-by-step explanation:
The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.
1. $6.00 to 95 cents:
This is same as $6.00 : 95 cents = \frac{6.00}{95}956.00
Convert $6 .00 to cents to make both quantities be in the same unit.
$1 = 100 cents
$6.00 = 6*100 = 600 cents
\frac{600}{95} = 6.3295600=6.32 (to 2 d.p)
2. 3 hours to 35 minutes:
Convert 3 hours to 35 mins
1 hr = 60 mins
3 hrs = 3*60 = 180 mins
180mins : 35 mins = \frac{180}{35} = 5.14180mins:35mins=35180=5.14 (2 d.p)
3. 42 inches to 2 feet:
Convert 2 ft to inches
1 ft = 12 inches
2ft = 2*12 = 24 inches
42 in:24 in = \frac{42}{24} = 1.7542in:24in=2442=1.75
Which expression is equal to x+5x+3⋅(x+3)(x−5)x2+3 ?
Answer:
Step-by-step explanation:
16
Part A
(a)
Martin noticed that he had spent $100 on a new bike and deposited $100 that he had earned from selling books to a
used bookstore. Which integer represents the change in Martin's savings?
A 100
BO
C-100
D-200
SHOW HINT
Which inequality represents all possible solutions of 16>x-4
Answer:
x<20
Step-by-step explanation:
add 4 to the other side to isolate x by adding 4 to 20 to be left with x<20
Find the distance between the points (–7,–6) and (3,–6).
Answer:
(3+7)2+(-6+6)2
100+0
100
10
what is the volume of this figure in cubic inches?
a. 32
b. 256
c. 416
d. 7.680
Answer:
I think its b
do you have to times it?
To use unit analysis to convert 7 feet to yards you could use: (DO NOT CONVERT!)To use unit analysis to convert 7 feet to yards you could use: (DO NOT CONVERT!)
Group of answer choices
7ft1⋅3yd1ft
(7 ft/ 1 ) multiplied by (3 yd/ 1ft)
7ft1⋅12in1ft
(7 ft/1) multiplied by (12 inches/1 ft)
7yd1⋅3ft1yd
None of these
7ft1⋅1yd3ft
Answer:
7ft/1yd ⋅1yd/3ft
Step-by-step explanation:
To use unit analysis to convert 7 feet to yards
Using unit analysis
1 yard = 3 feet
Hence
3 feet = 1 yard
7 feet = x yard
Cross Multiply
3 feet × x yard = 7 feet × 1 yard
We can represent this as
7 feet/1 yard × 1 yard/3 feet
The correct Option is :
7ft/1yd ⋅1yd/3ft
In ΔABC, the measure of ∠C=90°, the measure of ∠B=64°, and BC= 6.6 Find the length of CA the nearest tenth of a foot
Answer:
CA = 13.5
Step-by-step explanation:
tan 64 = CA/6.6
2.05 = CA/6.6
CA = 13.5
If n+1 integers are chosen from the set
1,2,3,…,2n
,where n is a positive integer, must at least one of them be even? Why?
Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.PLEASE HELP!!!
d/dx(e^2x)=d/dx(e^x*e^x)=?
Answer:
[tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightCalculus
Derivatives
Derivative Notation
Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
eˣ Derivative: [tex]\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{d}{dx}[e^{2x}][/tex]
Step 2: Differentiate
[Derivative] eˣ Derivative [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2x^{1 - 1} \cdot e^{2x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2x^{0} \cdot e^{2x}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2(1) \cdot e^{2x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2 \cdot e^{2x}[/tex][Derivative] Multiply: [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Use the ray tool to graph f(x)=−|x+2|
First plot the endpoint of the ray, then plot any point on the ray.
Answer: Graphed points I used, (-2,0), (0,-2), and (-3,-1)
Step-by-step explanation:
The graph of given function is attached below.
Absolute value function:The given function is,
[tex]f(x)=-|x+2|[/tex]
We have to draw the graph of above function.
When [tex]x=-2[/tex] , [tex]f(-2)=0[/tex]
When [tex]x=-4[/tex] , [tex]f(-4)=-|-4+2|=-2[/tex]
When [tex]x=0[/tex], [tex]f(0)=-2[/tex]
Thus, We have points [tex](-2,0),(-4,-2)[/tex] and [tex](0,-2)[/tex]
The graph of function attached below.
Learn more about the graph of function here:
https://brainly.com/question/24335034
Can anyone help me? This is confusing me a lot.
Answer:
80m2 wtfffffffffffffffffffff
the ratio of boys to girls in the class is 3:4.If the girls are 16
How many boys are in the class
Answer:
12 espero ter
ajudado
isso significa que há 3/4 de meninos e meninas
. Queremos encontrar 3/4 de 16
, podemos fazer isso multiplicando 16 por 3/4
3/4 * 16 = 48/4
48/4 = 12
Existem 12 Rapazes
Step-by-step explanation:
Can you please do number 4?
Answer:
64
Step-by-step explanation:
Find the measure of each angle indicated
Answer:
45°
Step-by-step explanation:
here's your solution
=> we know that sum of both angle is equal
180°
=> because both angle are co-interior angle
=> let the unknown angle be x
=> so, X + 135° = 180°
=> x= 180 - 135
=> 45°
hope it helps
Explain how to use division to find an
equivalent fraction for 9/12
Answer:
3/4
Step-by-step explanation:
You can simplify it by looking for what divides into both numbers. The lowest possible number is 3 because it can go into both 9 and 12.
9/3=3
12/3=4
3/4
So we know that 3/4 is equivalent to 9/12, because 3×12=36 and 4×9=36. A simple way to look at how to check for equivalent fractions is to do what is called “cross-multiply”, which means multiple the numerator of one fraction by the denominator of the other fraction. Then do the same thing in reverse.
what is the temperature halfway between 20 degrees and -10 degrees?
Answer:
The temperature halfway is -5 degrees farenheit/celcious
Step-by-step explanation:
the difference is 30 degrees
30 / 2 = 15
20 - 15 = -5
-10 + 15 = -5
Hope I helped! Plz mark as brainliest! Have a nice day/night!!! :D
-Lil G
Pleaseeeee helppppppp
Answer:
TIK TOK
Step-by-step explanation:
ON THE CLOCK
5.) Mother went to the supermarket. She bought 1.8 kg of chicken at Php120.50 a kilo
Find the cost of the chicken.
Answer:
1.8×120.50, and u shd get the ans
What is the area of the given figure in square centimeters?
A.15 3/4
B.21 3/8
C.27
D.39 3/8
Answer:?
Step-by-step explanation:
Jasmine is playing hide-and-seek with Tucker and Michelle. Tucker is hiding 15 meters south of Jasmine, and Michelle is hiding 8 meters east of Tucker. How far apart are Jasmine and Michelle?
Answer:
17 meters
Step-by-step explanation:
According to the Pythagorean Theorem, we can know that the right triangle's a side is Michelle to Tucker (8 meters), and the b side is Jasmine to Tucker (15 meters), and the c side is Jasmine to Michelle. The Pythagorean Theorem equation, the side length of the c side of a right triangle is the length of a side squared plus b side squared and squared root (a^2+b^2=c^2), and so 8^2+15^2=289, and 289 square root is 17, we can know that the distance between Jasmine to Michelle is 17 meters.