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
Which are the solutions of x^2 = 19x + 1?
Answer:
x = [tex]\frac{19+\sqrt{365}}{2}, \frac{19-\sqrt{365}}{2}[/tex]
Step-by-step explanation:
1. Move everything to one side of the equation.
x^2 - 19x - 1 = 0
2. Use the quadratic formula where a = 1, b = -19, and c = -1.
x = (-b +- sqrt(b^2-4ac)) / 2a
If you plug those numbers into that formula, you will get the result listed above
Answer:
B
x₁ = [tex]\frac{19-\sqrt{365}}{2}[/tex], x₂ = [tex]\frac{19+\sqrt{365} }{2}[/tex]
Step-by-step explanation:
Given the following data, find the weight that represents the 28 percentile
Answer:
so I just tried to find the mean (average) and it was: 6.3
Please help me! due today!
Square root of 202!!!!!!!!!!!!!! I need help
Answer:
approximately 14.2127 but it could also be simplified to the square root of 2 times the square root of 101
In triangle FGH shown below, what is the measure of < F degrees?
Record your answer and fill in the bubbles on your answer document. Be sure to use
the correct place value.
Answer:
∠F = 19.5°
Step-by-step explanation:
The sum of all of the angles in a triangle is 180°
∠F + ∠H + ∠G = 180°
∠F + 127° + 33.5° = 180°
∠F + 160.5° = 180°
-160.5° -160.5°
∠F = 19.5°
I can't figure this problem out- Please help me
Answer:
68 in^2
Step-by-step explanation:
the shape is a trapezoid
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = x (sum of the lengths of the parallel sides) x height
the dimension of the height is not given. We have to determine the value of the height using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² = 6² + height²
100 = 36 + height²
height = 64
the square root of 64 is 8
the height is 8
1/2 x (8 + 9) x 8 = 68in^2
Determine the value of x. Round answer to the nearest hundredth.
Answer:
i believe it is 24
Step-by-step explanation:
PLZ GIVE BRAINLY
your most exciting day of school
Answer:
first day. yehahhhhhhhh
Answer:
School isn't exciting for me, lol.
Step-by-step explanation:
Factor the expression
10x + 25
A. 2(5x + 10)
B. 5(2x + 5)
C. 10(x + 5)
D. 5(2x + 25)
Step-by-step explanation:
The correct answer is ''B. 5(2x + 5)''
The diagram below shows a cone and a cylinder that have congruent bases and congruent heights.
2.5 in
2.5 in
4 in.
Which statement, where h represents the height of the cone and the height of the cylinder, is true?
its x of course :)))
Brainliest for correct answer, any inapplicable answer or absurd answer will be deleted and reported.
Answer:
35+70=105, 180-105=75 so the answer is c 75°
Step-by-step explanation:
Justin is marking a border for a garden. He walks 200 feet to the east, then turns and
walks 120 feet due south, before finally walking in a straight line back to his original
starting point. To the nearest foot, how far does Justin walk in all?
Answer
feet
Answer:
d = 233.23 feet
Step-by-step explanation:
Given that,
Justin walks 200 feet to the east, then turns and walks 120 feet due south.
We need to find the total distance walked by Justin. Let the distance be d.
We can use the Pythagoras theorem to find it such that,
[tex]d=\sqrt{d_1^2+d_2^2} \\\\d=\sqrt{200^2+120^2} \\\\d=233.24\ feet[/tex]
So, he walk 233.23 feet in all.
What is the expected value when rolling a fair 12-sided die?
Answer:
I think 1/12
Step-by-step explanation:
since the question didn't specifically the possibility of a certain number shown.
note this applies to probability related questions
please help me! i’m so confused!!
ok
a I'm sure
14*7*8
Step-by-step explanation:
we should multiple everything
Which TWO expressions can be used to represent the tiles shown here?
Answer:
4(2a + b)
and
8a + 4b
Step-by-step explanation:
Hope this helped :)
Step-by-step explanation:
8a+4b
4(2a+b)
hope this helps
Brainliest for correct answer
Answer:
2 is the answer I think sorry if am wrong
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,142 was collected on the sale of 1,330 tickets. How many of each type of ticket were sold?
The basketball game sold
______adult tickets and
_______student tickets.
Answer:
453 adult tickets and 877 student tickets were sold.
Step-by-step explanation:
Given that adult tickets to a basketball game cost $ 5 and student tickets cost $ 1, and a total of $ 3,142 was collected on the sale of 1,330 tickets, to determine how many of each type of ticket were sold the following calculations must be performed:
5 - 1 = 4
1330 x 1 = 1330
3142 - 1330 = 1812
1812/4 = 453
1330 - 453 = 877
877 x 1 + 453 x 5 = X
877 + 2265 = X
3142 = X
Therefore, 453 adult tickets and 877 student tickets were sold.
Can someone help me. Can you show work. Please don’t answer anything that isn’t related, I’ll report or flagged you if u do.
Answer:
Yes, Chris will score.
Step-by-step explanation:
To get the ball in the goal, the ball must be below 8ft (the height of the goal) when the ball passes the 25ft mark; ie, Chris will score if f(x)<8 when x=25:
f(x)=-0.05(x-16)²+11
f(25)=-0.05(25-16)²+11
=-0.05(9²)+11
=-0.05(81)+11
=11-4.05
=6.95
Since 6.95<8, we can see that Chris will score if Deshawn doesn't block the ball.
Please help me answer this question.
What is the vertex of the parabola?
Answer:
g
Step-by-step explanation:
the point at the intersection of the parabola and its line of symmetry
ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 140°, what is the
measure of ZQRS?
MZQRS = [?]
Answer:
m<QRS = 40
Step-by-step explanation:
180 - 140 = 40
The measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.
What is a supplementary angle?A supplementary angle is a pair of angles that add up to 180 degrees.
That is to say, if we have two angles and their measures sum up to 180 degrees, then they are supplementary angles. Each angle in a supplementary pair is called the "supplement" of the other angle.
The measure of angle QRS is calculated by applying the following formula as follows;
m∠QRS + m∠ABC = 180 (supplementary angles add up to 180)
m∠QRS + 140 = 180
m∠QRS = 180 - 140
m∠QRS = 40⁰
Thus, the measure of angle m∠QRS which is supplementary to m∠ABC is determined as 40⁰.
Learn more about supplementary angles here: https://brainly.com/question/12919120
#SPJ2
Complete each statement using the words or algebraic expressions listed in the word bank below.
1. The length of the
of
the rectangular region
approximates the length of
the
of the circle.
2. The
of the rectangle
approximates the length of
one-half of the
circumference of the
circle.
3. The circumference of the circle is _______________________.
4. The _________________ of the ___________________ is 2.
5. The ratio of the circumference to the diameter is ______.
6. Area (circle) = Area of (_____________) =
1
2
∙ circumference ∙ =
1
2
(2) ∙ = ∙ ∙ = _____________.
Word bank
radius height base
diameter circle rectangle
�
Answer:
weisnedjdjjdidjdndndjddjxjjdjdndndjdjdndndndnddn
Find an equivalent 100/25
Answer:
100/25 = 4
so an equivalent would be 12/3
Answer and Step-by-step explanation:
100 divided by 25 is equal to 4., or [tex]\frac{4}{1}[/tex].
That is equivalent to [tex]\frac{100}{25}[/tex].
#teamtrees #PAW (Plant And Water)
Mi Gusta
PLS ANSWER QUICK, HELP
Answer:
1/2. gallon.............
anyone know the answer
Answer:
I DONT KNOW SOORY
Step-by-step explanation:
jbjnmbgkuyhjn
Krysta knit a total of 16 centimeters of scarf over 8 nights. How many nights will Krysta have
to spend knitting in order to knit a total of 46 centimeters of scarf? Assume the relationship is
directly proportional.
nights
Answer:
23 nights
Step-by-step explanation:
What does "Proportional" Mean? Proportional means that the ratio is the same throughout.
Step One: First, to set this up, we will put the 16 centimeters for the numerator and then the 8 nights on the bottom. The bottom is the independent variable because we can't physically change the number of nights. 16/8.
Step Two: Now, we have to scale this up to 46. Because the 46 is the centimeters, we have to do 46/16 to see how much we need to scale it by: 46/16= 2.875.
Step Three: Lastly, we can multiply 8 by 2.875 to see how many nights it took: 8 times 2.875 is 23 nights.
The equation of a circle is given as x2+ax+y2+by=c where a, b, and c are constants. The radius of the circle is given by the expression
(a2)2+(b2)2+c
a+b+c
(a2)2+(b2)2
c√
Answering actually A
Step-by-step explanation:
What is one strength that Percy shows in chapter 3
What is one weakness that Percy shows in chapter 3
please answer both questions above correctly please im giving brainliest to the fastest and correct answer
Answer:
Percy’s strengths is his loyalty to his friend. When he was in danger, he could have escaped and saved his own life. But he showed loyalty by choosing to stay and fight to help his friend. He says, “… there was Grover, needing my help.” Percy’s only weakness in this section is becoming frozen by his fear. When his mother tells him to run, he can’t. The text says, “But I just stood there, frozen in fear, as the monster charged her.”
Step-by-step explanation:
I need help again haha
Answer:
15⁰
Step-by-step explanation:
a straight line is 180⁰. 180-165=15
Step-by-step explanation:
Since a line is 180°, we can add 165 to x equal to 180
[tex]165+x=180[/tex]
[tex]x=15[/tex]
Hope that helps :)
Which is larger 64 inches or 5 feet
Answer:
64 inches
Step-by-step explanation:
There are 12 inches in a foot
12 x 5 is 60
64 is greater then 60
Which of the fractions is equivalent to 2/5?
Answer:
4/10, 6/15, 8/20, 10/25
Step-by-step explanation: