The question is incomplete. The complete question is :
Suppose X and Y have a bivariate normal distribution with [tex]$\sigma_X = 0.04, \sigma_Y = 0.08, \mu_X = 3.00, \mu_Y = 7.70$[/tex] and ρ = 0.
Determine the following. Round your answers to three decimal places (e.g. 98.765).
(a). [tex]$P(2.90 < X < 3.10) =$[/tex]
(b). [tex]$P(7.60 < X < 7.80) =$[/tex]
(c). P(2.90 < X < 3.10, 9.60 < Y < 7.80) =
Solution :
We have
[tex]$X \sim N (\mu_X=3, \sigma_X^2=0.04^2)$[/tex] and
[tex]$Y \sim N (\mu_Y=7.7, \sigma_Y^2=0.08^2)$[/tex]
a). The required probability is
[tex]$P(2.90 < X < 3.10) =$[/tex] [tex]$P\left(\frac{2.9-3}{0.04}< Z < \frac{3.1-3}{0.04}\right)$[/tex]
= P(-2.5 < Z < 2.5) = P(Z < 2.5) - P(Z < -2.5)
= P(Z < 2.5) - [1-P(Z < 2.5)]
= 2P(Z < 2.5) - 1
= 2(0.99379) - 1
= 0.98758
≈ 0.988
b). The required probability is
[tex]$P(7.6 < X < 7.8) =$[/tex] [tex]$P\left(\frac{7.6-7.7}{0.08}< Z < \frac{7.8-7.7}{0.08}\right)$[/tex]
= P(-1.25 < Z < 1.25) = P(Z < 1.25) - P(Z < -1.25)
= P(Z < 1.25) - [1-P(Z < 1.25)]
= 2P(Z < 1.25) - 1
= 2(0.89435) - 1
= 0.7887
≈ 0.789
c). Since, ρ = 0, so the X and Y are independent. Thus the required probability is :
P(2.90 < X < 3.10, 9.60 < Y < 7.80) = P(2.9 < X < 3.1) x P(7.6 < Y < 7.8)
= (0.98758)(0.7887)
= 0.77890
≈ 0.779
We Just started learning thus stuff and I'm a little confused
Answer:
The volume of a prism is the area of the base times the height, V=Bh. The volume of a rectangular prism is the length times width times height, V=lwh. The volume of a cube is the length of one side cubed, V=s3.
Step-by-step explanation:
if you don't get it, then i'll just answer.
i get a 25% discount (means decrease) at macys store. if i find a dress i like for $80, how much will i have to pay for it?
Answer:
you will pay $60
Step-by-step explanation:
25% (1/4) of 80 is 20
subtract 20 from the total (80)
80 - 20 = 60
$60
Answer:
60
Step-by-step explanation:
So if you get 25% off, you're basically paying 75%.
So first, convert the percentage to a decimal:
75% = 75/100 = 0.75
Now just multiply the decimal by the total cost:
80$ (0.75) = $60
Can someone help please ASAP
Answer:
U need to draw a triangle
Step-by-step explanation:
Each square on the grid represents 1 square yard. What is the area of the octagon?
A.49 sq yd
B.41 sq yd
C.36 sq yd
D.39 sq yd
Answer:
B. 41 sq yd
hope this answer helps you......
help me pls mathhh mhm
Answer:
f = -15
Step-by-step explanation:
3(f/3) equals f
3(-5) equals -15
The final equation becomes: f = -15
Help asap
Find the value of x. Round to the
nearest tenth.
3
4
X =
= [?]
Answer:
36.9°
Step-by-step explanation:
→ Identify the triangle required by seeing which side is not given
Hypotenuse is not given so we need to use Tan⁻¹ = Opposite / Adjacent
→ Substitute values in
Tan⁻¹ = ( 3 ÷ 4 )
→ Simplify
36.9°
Please help. Thank you.
Answer:
-10m-9
Step-by-step explanation:
-3(4m+3)+2m
combine like terms
-12m-9+2m
-10m-9
which of the following sequences of transformation maps MNO onto ABC?
Answer:
MNO no se estoy en 6th y no se pero esta es mi respuesta espero y me la saco bien
The sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The given sequence of transformations is:
T(–2, 4) - translation by (-2, 4)
ry-axis - reflection across the y-axis
ry-axis - reflection across the y-axis
T(2, –4) - translation by (2, -4)
We can check whether this sequence of transformations maps triangle MNO onto M"N"O" by applying each transformation to the coordinates of triangle MNO in order:
T(–2, 4) maps M(5,-4) to M'(3,0), N(3,-2) to N'(1,2), and O(1,-3) to O'(-1,1).
ry-axis reflects M'(-3,0) to M"(-3,0), N'(1,2) to N"(-1,2), and O'(-1,1) to O"(1,1).
ry-axis reflects M"(-3,0) back to M"(-3,0), N"(-1,2) back to N"(-1,2), and O"(1,1) back to O"(1,1).
T(2, –4) maps M"(-3,0) to M'(-1,-4), N"(-1,2) to N"(1,-2), and O"(1,1) to O"(3,-3).
The resulting coordinates M'(-1,-4), N'(1,-2), and O'(3,-3) are the coordinates of triangle M"N"O".
Therefore, the given sequence of transformations T(–2, 4) ry-axis ry-axis T(2, –4) can be used to map triangle MNO onto M"N"O".
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ2
Medication is prescribed in 8 out of every 10 hospital emergency room visits that involve an injury. If a large urban hospital had 660
emergency
room visits involving an injury in the past month, how many of these visits would be expected to include a prescription for
medication?
About
emergency room visits would be expected to include a prescription for medication.
Answer:
I don't know thats hard um well yeah
Sheldon spent $42 on cookies. If each box cost $6, which equation will tell you how many boxes of cookies Sheldon bought?
Answer:
42 multpliy by 6
Step-by-step explanation:
Sheldon bought 7 boxes of cookies if he spent $42 on cookies.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Cost of one box of cookies = $6.
And total amount spent by Sheldon on cookies = $42.
Let Sheldon bough x boxes of cookies.
To find the number of boxes of cookies x,
Use ratio property,
Cost of one box of cookies = $6
Cost of x boxes of cookies = $6x
Total price = 42
6x = 42
x = 7
The required number of boxes of cookies is 7.
To learn more about Ratio on :
https://brainly.com/question/13419413
#SPJ2
Ceasar opens a bank account and makes an initial deposit of $800. The banker tells Ceasar that he is going to receive an annual rate of 10% compounded continuously on his investment. Find the bank balance assuming Ceasar leaves the account untouched for 8 years.
Can you please do the problem using the formula A(t)=pe^(rt).
Answer:
1780.43
Step-by-step explanation:
Given:
P = 800
r = 10% or 0.1
t = 8
PLEASE HELP!! I WILL GIVE BRAINLIEST IF YOU SHOW YOUR WORK!
Answer:
Step-by-step explanation: You would add 2 to your diameter to every circle which will lead to 17.5 as your radius. Then you would use the formula A=πr2.(r^2 is the same thing as the diamiter). This then will get you a circumfrence of 962.11.
Sara uses 9.3 pints of white paint and blue paint to paint her bedroom walls.
3/5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:2.65
Step-by-step explanation:
The answer is 2.65
x=1 and y=3
2x+3y-2
plsss helpp <3
Answer:
9
Step-by-step explanation:
2x + 3y - 2 =9
(2) + (9) -2 =9
A pizza restaurant advertises the following for one pizza two toppings $20 for toppings $26 using this information determine the cost of a pizza with one topping topping.
EXPLAIN HOW YOU DETERMINED THUS COST!!! please
ASAP
the cooler at a softball game holds 5 quarts of sports drink. how many cups of sports drink does the cooler hold
Answer: 20 cups :DD
Step-by-step explanation:
Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives immunity to fungal infections. To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene. Give the margin of error for the 90% confidence interval. Round your answer to 3 decimal
Answer:
The margin of error for the 90% confidence interval is of 0.038.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.
This means that [tex]n = 400, \pi = \frac{280}{400} = 0.7[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Give the margin of error for the 90% confidence interval.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.7*0.3}{400}}[/tex]
[tex]M = 0.038[/tex]
The margin of error for the 90% confidence interval is of 0.038.
WILL MARK BRAINLYEST
A street sign is 8 feet tall and casts a shadow that is 28 feet long. At the same time, a nearby tree casts a shadow that is 210 feet long. How tall is the tree?
A.60
B.70
C.80
D.90
A researcher collected data on the cholesterol level, C, and the age, A, of 24 people selected at random. Using the data, the researcher calculated the least-squares regression line to be Cˆ=182+2.2A and the standard error of the slope to be 0.38. If the conditions for inference are met, which of the following is closest to the value of the test statistic to test the hypotheses H0:β=0 versus Ha:β≠0 ?
A. t = 0.17
B. t= 0.38
C. t = 0.836
D. t = 2.2
E. t = 5.79
Answer:
t = 5.79
Step-by-step explanation:
Given the regression line equation :
Cˆ=182+2.2A
Null ; H0:β=0
Alternative ; Ha:β≠0
Comparing with the general for of a linear regression equation :
y = bx + c
b =slope Coefficient ; c = intercept
b = 2.2 (from equation given)
The test statistic :
t = (Slope, b - null, β) / standard error of slope, E
(b - β) / E
(2.2 - 0) / 0.38
t = 2.2 / 0.38
t = 5.7894736
t = 5.79
Helppp meeee pleaseeeeee
Answer:
C. Substance C, Substance A, Substance D, Substance B
{201-[68-(40/4)+(-8)+(70x2)]}
Answer:
{201-[68-(40/4)+(-8)+(70x2)]}
{201-[68-(40/4)+(-8)+140]}
{201-[68-10-8+140]}
{201-[68-18+140]}
[201-[50+140]}
{201-190}
11is your answer
Two intersecting segments form the diagonals of a quadrilateral. What additional information do you need to know about the diagonals to prove that a quadrilateral is a parallelogram
Answer:
B. They must bisect each other
Step-by-step explanation:
Found the answer on quizziz
What is the volume of the prism, in cubic centimeters?
Answer:
Uhhhhhh, nothing?
Step-by-step explanation:
2. Moore has 20 songs. His friend bought him M more
songs. Write an expression that shows how many songs
Moore has now.
Answer:
20+m
Step-by-step explanation:
Answer:
20+m=?
Step-by-step explanation:
if moore already has 20 songs and his freind brought m more books then we would need to find the total amount of books more has now.
what does venerable mean
Answer:
accorded a great deal of respect, especially because of age, wisdom, or character.
"a venerable statesman"
Similar:
respected
venerated
revered
reverenced
Step-by-step explanation:
Hope it helps u , Good luck ^.^
8 16 20 0 32 24 32 8 16 16 56 48
0 24 32 28 16 36 72 40 48 24 40 32
Least to greatest
0 0 8 8 16 16 16 16 20 24 24 24 28 32 32 32 40 40 48 48 56 72
can someone help me with this please
9514 1404 393
Answer:
1. attendance (y), time (x)
2. 1,2: increasing; 3: constant; 4: decreasing
3. attendance increases, remains constant, then decreases
4. increasing; pre-heating the oven
Step-by-step explanation:
It is always difficult to read the mind of the author of questions like these. Usually, specific wording is expected. If your curriculum material has examples you can copy from, you should do that.
__
1. The variables and what they stand for are listed on the axes of the graph. The y-variable stands for attendance. The x-variable stands for time. It isn't clear whether the desired answer is "y and x" or "attendance and time".
__
2. The graph slopes upward in intervals 1 and 2. It can be described as "increasing."
The graph remains level in interval 3. It can be described as "constant."
The graph slopes downward in interval 4. It can be described as "decreasing."
__
3. The attendance is adequately described in question 2. Attendance increases, remains constant, then decreases. It isn't clear how general or specific the answer is supposed to be.
__
4. The graph of the function is "increasing." We don't know if the indicated temperature is the temperature of the bread, the oven, or the room containing the oven. If we assume the indicated temperature is that of the oven, we expect an increase during the oven pre-heat interval.
If the indicated temperature is that of the bread, then the increase would be following insertion of the bread into the oven.
Second term of a geometric series is , the limiting sum is 9.
Get the values of first term a and common ratio r.
Answer:
The answer is below
Step-by-step explanation:
Second term of a geometric series is 2, the limiting sum is 9.
Get the values of first term a and common ratio r.
Solution:
A geometric series is in the form:
a + ar + ar² + ar³ + . . . + arⁿ ⁻ ¹
Where a is the first term, n is the nth term and r is the second ratio.
Since the second term of the series is 2, hence:
ar⁽² ⁻ ¹⁾ = 2
ar = 2 (1)
Also, the limiting sum is 9, hence:
a/ (1 - r) = 9
a = 9 - 9r (2)
Substitute a = 9 - 9r in eqn 1:
(9 - 9r)r = 2
9r - 9r² = 2
9r² - 9r + 2 = 0
9r² - 6r - 3r + 2 = 0
3r(3r - 2) -1(3r - 2) = 0
(3r - 1)(3r - 2) = 0
r = 1/3 or r = 2/3
When r = 1/3; a = 9 - 9r = 9 - 9(1/3) = 6
When r = 2/3; a = 9 - 9r = 9 - 9(2/3) = 3
I need help plz will give brainlyist
Answer:
tara
Step-by-step explanation:
scott wrote it backwards
your suppose to write a+b not b+a
so tara got it right
Of the 31 teachers at Keenan's high school, 14 are female. What is the ratio of the number of female teachers to the number of male teachers?
Answer:
The answer is 14:17
Step-by-step explanation:
31-14 is 17 and 14 are female and 17 are male so we do 14:17