This question is incomplete, the complete question is;
X and Y are independent Gaussian (Normal) random Variables. X has mean 13.9 and variance 5.2; Y has mean 6.9 and variance 3.8. . (a) Calculate P( W> 10)
Answer:
P( W> 10) is 0.1587
Step-by-step explanation:
Given that;
X ⇒ N( 13.9, 5.2 )
Y ⇒ N( 6.9, 3.8 )
W = X - Y
Therefore
E(W) = E(X) - E(Y)
= 13.9 - 6.9 = 7
Var(W) = Var(X) + Var(Y) -2COV(X.Y)
[ COV(X,Y) = 0 because they are independent]
Var(W) = 5.2 + 3.8 + 0
= 9
Therefore
W ⇒ N( 7, 9 )
so
P( W > 10 )
= 1 - P( W ≤ 10 )
= 1 - P( W-7 /3 ≤ 10-7 /3 )
= 1 - P( Z ≤ 1 ) [ Z = W-7 / 3 ⇒ N(0, 1) ]
from Standard normal distribution table, P( Z ≤ 1 ) = 0.8413
so
1 - P( Z ≤ 1 ) = 1 - 0.8413 = 0.1587
Therefore P( W> 10) is 0.1587
Can anyone thats really extremely excellent at math, history and english please help me out with my questions. Truly need help. Please only answer if you know how to. ( Just click on my name and go to my questions) answer.
Answer:
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Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 7, 10, 13, 16, ...
Answer:
The given sequence is an arithmetic sequence.
Step-by-step explanation:
Given sequence is:
7, 10, 13, 16, ...
Here
[tex]a_1 = 7\\a_2 = 10\\a_3 = 13\\a_4 = 16[/tex]
In order for a sequence to be an arithmetic sequence the common difference between the consecutive terms of the sequence should be same. Common difference is denoted by d.
So,
[tex]d = a_2 - a_1 = 10-7 = 3\\d = a_3 - a_2 = 13-10 = 3\\d = a_4-a_3 = 16-13 = 3[/tex]
As we can see that the common difference is same for consecutive terms.
The given sequence is an arithmetic sequence.
Twenty five more than twice a number is fifty five. What is the number?
25 + 2x = 55
2x = 30
x = 15
The number is 15
Answer:
Step-by-step explanation:
If the number is 15 then twice is 30 then add 25 = 30 + 25 = 55
I'm stuck on this math question attached
answer pls hurry need this asap
Answer:
y=-6x-8
Step-by-step explanation:
well first of all the line passes through (0,-8) ehich would give you a y-int of -8, to find the slope of y=mx+b you could do rise/run. fi you found a point and counted down to another point it'd be -6, then count the run it'd be 1, -6/1 equals -6
Which of the following values of x will result in an imaginary number for
√2x+7
x ≤ -4 will result in an imaginary number. (From the graph it's actually 3.5, so if you want to view in REAL number then it's x ≤ -3.5 which will result in imaginary numbers.)
But if you want an integer then It's x ≤ -4
Real Number as it's x ≤ -3.5
The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2629 raffle tickets at $5 per ticket. (a) Kevin bought forty-one tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean
Answer: the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559
Step-by-step explanation:
Given that;
the total number of raffle ticket sold by the student is 2629
Kevin bought 41 tickets
the probability that Kevin will win the spring break cruise to the Caribbean?
The required probability will be:
Probability
=(Number of favorable outcomes for an Event) / (Total Number of outcome)
so
probability = 41 / 2629
= 0.01559
Therefore the probability that Kevin will win the spring break cruise to the Caribbean is 0.01559
Who can help me with this for algebra 2
estion Determine the vertical asymptote(s) of the function. If none exists, state that fact. x + 3 f(x) – 10x²+ + 21x Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The function has one vertical asymptote, (Type an equation.) and the rightmost asymptote is OB. The function has two vertical asymptotes. The leftmost asymptote is (Type equations.) O C. The function has three vertical asymptotes. The leftmost asymptote is (Type equations.) OD. The function has no vertical asymptotes. the middle asymptote is and the rightmost asymptote is
Answer:
C.
Step-by-step explanation:
I believe it is C.
Rewrite the function f(x)=2(x-1)^2-1 in the form f(x)=ax^2+bx+c
Answer:
2x^2-4x+1
Step-by-step explanation:
2(x-1)^2-1
2(x^2-2x+1)
2x^2-4x+2-1
2x^2-4x+1
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[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]
[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]
[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]
[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]
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Write the slope-intercept form of the equation of each line. Identify the slopes y-intercept
Answer:
m= 2
b= -2
-2x+2
Step-by-step explanation:
Hope that helps!
3) In a study of 600 community college students, 200 of them indicated that they are part-time students. What percent of the students are part-time students?
Answer: 33.3333333...%
Step-by-step explanation: 200/600=1/3
1/3 =33.3333333...%
If f(3) = 2, find f^-1(2)
Help pls
Answer:
[tex]f^{-1}[/tex](2) is 3
Step-by-step explanation:
In the function f(x) = y, its inverse is f(y) = x
So to find the inverse of a function switch x and y
Example:
In f(1) = 2, x = 1 and y = 2
Its inverse is [tex]f^{-1}[/tex](y) = x
Then, [tex]f^{-1}[/tex](2) = 1
Let us use this rule to solve the question
∵ f(3) = 2
∴ x = 3 and y = 2
→ To find its inverse switch x and y
∵ [tex]f^{-1}[/tex](y) = x
∴ [tex]f^{-1}[/tex](2) = 3
The ______ identity is 1.
Answer:
I believe its ,multiplication
Step-by-step explanation:
because any number you multiply be one is one
mark brainliest if correct please
Answer:
multiplication
Step-by-step explanation:
Cause of Peter griffen
ANSWER QUICK PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
case a) y=1/3x+8
case b) y=-3x+28
Step-by-step explanation:
case a)
parallel lines has the same slope, then, the searched line has the form:
[tex]y=\frac{1}{3} x +b[/tex]
Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has
[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]
Then, the line equation is y=1/3x+8
case b)
the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is
[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]
Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,
[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]
Hence, the searced equation is y=-3x+28
The stem-and-leaf plot shows the ages of people at a family reunion.
Stem Leaf
0 1 3 3 5 6 8 9
1 1 2 3 5 9
2 0 1 2 9
3 0 0 1 2 5
4 4 5 8
5 0 1 6 7
6 1 3 5 5 7
7 0 2 5
Key: 3 | 5 = 35 years old
How many people at the family reunion are not adults (under the age of 18)?
There are
people at the family reunion who are not adults.
Question 2
How many people at the family reunion are over the age of 65?
There are
people over the age of 65.
Answer:
1) 11
2) 4
Step-by-step explanation:
1) It is 11 because in the first row we ignore the 0 since it is referring to the first digit, so the first row has 7. In the second row, we ignore the one so it would be 4 because the 9, or would be 19, is above 18.
2) It is 4 because there is one person over 65. In the second row we ignore the 7 and there are 3 people in the 7 row.
what is an equation in slope-intercept form of the line that passes through (6,10) and is parallel to the graph of y=1/3x-1 ?
Divide. What is the remainder?
93 ÷ 4
there is no remainder
1
2
3
Pls help
Find the questions?
Answer:
Step-by-step explanation:
(a). - 5t² + 35t - 60 = 0
(b). (x - 3)(x - 4) = 0
(c). t = 3, 4
Thirty-two different video games showing drug use were observed. The duration times of drug use (in seconds) were recorded. When using this sample for a t test of the claim that the population mean is greater than 82 sec, what does df denote, and what is its value? What does df denote?
A. The sample size
B. The test statistic
C. The sample standard deviation
D. The number of degrees of freedom
The value of df is _________ Type an integer or a decimal. Do not round )
Answer:
D. The number of degrees of freedom
The value of df is 31
Step-by-step explanation:
Degrees of freedom (DF) denotes the amount of information provided by the data you can "consume" to estimate unknown population parameters' values and calculate the variability of those estimates.
Increasing the sample size provides more information about the population, which increases the degrees of freedom present in the data.
Given that:
The sample size in the study (n) = 32
The degree of freedom df = n - 1
The degree of freedom df = 32 - 1
The degree of freedom df = 31
i need helppp!!
worth 10 points
Answer:
I think that it is 120 but not sure
Step-by-step explanation:
sorry if wrong
Frank bought 6 bags of dog food and 7 bags of cat food for $74.50. Daisy bought 3 bags of dog food and 9 bags of cat food for $ 67.50 . How much does it cost for each bag of dog and cat food ?
-24 = -8(5x-7) im confused
Answer:
x=2
Step-by-step explanation:
In order to solve the inequality, first simplify it. -8 (5x -7) can be simplified be distributing. Multiply -8 to each term.
-24 = -40x + 56 now you can solve it start by subtracting 56 on both sides
-80 = -40x now divide -40 on both sides
2=x
I hope this helps :)
have a nice day
Kara earned $136.75 last week working 16 hours. She earned $10.50 per hour at the fast food restaurant and $4.25 per hour helping her aunt clean her store.
How many hours did she work at the fastest food restaurant? How many hours did she help her aunt clean the store? In your response make sure to:
Create a model that can be used to determine the number of hours Kara worked at each job.
Define your variables.
Show all your work.
Answer:
First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x
10.50x + 4.25(16-x) =136.75
10.50x + 68 - 4.25x= 136.75
Then, you subtract 68 from both sides and subtract 4.25x from 10.50x
6.25x=68.75
Divide
X=11 that is how many hours she worked at the FAST FOOD RESTAURANT
Then 16-11 and that gives us how many hours she helped her aunt.
ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt
Step-by-step explanation:
Here, we are required to determine how many hours Kara worked at the fastest food restaurant and how many hours did she help her aunt clean the store.
The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in the restaurant is; 11hours.The number of hours worked by Kara in her aunt's store is; 5hours.First, we need to create a model for the work done and how much she earned.
Total earnings = $136.75Total hours worked = 16 hoursLet hours worked at the restaurant = xLet hours worked at the store = (16-x)Hourly rate at restaurant = $10.50Hourly rate at store = $4.25The model is therefore in the form;
$10.50(x) + $4.25(16-x) = $136.75
To determine the no. of hours worked at the fast food restaurant, we have to evaluate the value of x.
Therefore;
10.50x + 68 - 4.25x = 136.756.25x = 68.75x = 11
The number of hours worked by Kara in the restaurant is; 11hours.
The number of hours worked by Kara in her aunt's store is; (16 - 11) hours = 5hours.
Read more:
https://brainly.com/question/24392720
What is the unit rate if the candy is $7.80 for 2 pounds?
Answer:
= 3.9 candy per pound
Step-by-step explanation:
This is a fraction equal to
7.8 candy ÷ 2 pounds
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2
7.8 candy ÷ 2
________
2 pounds ÷ 2
=
3.9 candy
_______
1 pound
=
3.9 candy
_______
pound
= 3.9 candy per pound
Which investment data is best modeled by an exponential function?
Answer:
Answer is C.
Step-by-step explanation:
Please like and mark brainliest, thanks :)
Exponential functions are functions that increases geometrically. The correct graph that model the investment is the Graph C
Exponential graphExponential functions are functions that increases geometrically. The standard exponential function is expressed as y = ab^x
The correct graph must represents a curve that increases steadily. From the given graph, the correct graph that model the investment is the Graph C
Learn more on exponential graph here: https://brainly.com/question/2456547
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4. REINFORCE A recipe for lemonade call for 3 lemons for every 2 cups of water.
Create a table of equivalent ratios. Find at least one ratio where one of the quan
a fraction or decimal.
Lemons
Cups of water
a.
b.
c.
d.
e.
Answer:
PLZ MARK BRAINLIEST!
The answer is below...Can you farther explain on the part "Find at least one ratio where one of the quan
a fraction or decimal."
Step-by-step explanation:
LEMONS . CUPS
3 : 2 . 3/2
6 : 4 . 6/4
9 : 6 9/6
12 : 8 . 12/8
15 : 10 . 15/10
Convert 88 °F to Celsius Round your answer to the nearest tenth. °C
Answer:
Step-by-step explanationfor changing °F to °Cuse the formula
°C=(F-32)5/9
=(88-32)5/9
=56×5/9
=280/9
=31.11
So the value of nearest tenth is 31°c
The cashier counts $2500in $100 bills. She exchanged all the $100 bills for $10 bills. How many $10 bills does she receive?
Answer:
250
Step-by-step explanation:
Solve the equation using the distributive property and properties of equality.
Negative 5 (a + 3) = negative 55
What is the value of a?
Answer:
6
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
+15 +15
-5a=-40
/-5 /-5
a=6
Answer:
A = 8
Step-by-step explanation:
-5(a+3)=-55
-5a-15=-55
-5a=-40
-40/-5=8
a=8