Answer:
Step-by-step explanation:
From the given data
we observed that the missile testing program
Y1 and Y2 are variable, they are also independent
We are aware that
[tex](Y_1)^2 and (Y_2)^2[/tex] have [tex]x^2[/tex] distribution with 1 degree of freedom
and [tex]V=(Y_1^2)+(Y_2)^2[/tex] has x^2 with 2 degree of freedom
[tex]F_v(v)=\frac{e^{-\frac{v}{2}}}2[/tex]
Since we have to find the density formula
[tex]U=\sqrt{V}[/tex]
We use method of transformation
[tex]h(V)=\sqrt{U}\\\\=U[/tex]
There inverse function is [tex]h^-^1(U)=U^2[/tex]
We derivate the fuction above with respect to u
[tex]\frac{d}{du} (h^-^1(u))=\frac{d}{du} (u^2)\\\\=2u^2^-^1\\\\=2u[/tex]
Therefore,
[tex]F_v(u)=F_v(h-^1)(u)\frac{dh^-^1}{du} \\\\=\frac{e^-\frac{u^-^}{2} }{2} (2u)\\\\=e^-{\frac{u^2}{2} }U[/tex]
Select the correct answer.
What is the sum of this arithmetic series?
586 +564 + 542 + ... +212
Answer:
sum of the series = 7182
Step-by-step explanation:
This is an arithmetic series. The first term is known as 586 and the last term is known as 212. We are ask to find the sum of the series. The common difference of this sequence is -22 . The difference between the next term and the previous term is -22. Let us find the number of terms.
common difference = 564 - 586 = -22
number of terms = n
nth term = a + (n - 1)d
212 = 586 + (n - 1)-22
212 = 586 - 22n + 22
212 - 586 - 22 = -22n
-396 = -22n
divide both sides by -22
n = -396/-22
n = 18
Using the formula for sum
sum of nth term = n/2(a + l)
where
l = last term
a = first term
n = number of term
sum of nth term = n/2(a + l)
sum of nth term = 18/2(586 + 212)
sum of nth term = 9(798 )
sum of the series = 7182
The area of trapezoid TRAP is 100. Furthermore, TR=32, AP=8, and TP=RA. If
Answer:
TP = 13
Step-by-step explanation:
The height of the trapezoid can be found from the area formula:
A = (1/2)(b1 +b2)h
h = 2A/(b1 +b2) = 2(100)/(32 +8)
h = 5
The horizontal length of each triangular end of the trapezoid is ...
(32 -8)/2 = 24/2 = 12
so the hypotenuse of the triangular end of the trapezoid is ...
TP = √(12^2 +5^2) = √169
TP = 13
The sides of the trapezoid have length 13 units.
h(t)=-16t^2+24t+40.0
Answer:
t = -1 or 5/2
Step-by-step explanation:
To find t; we equate H(t) = 0
-16t^2+24t+40.0= 0
dividing through by 8 we have ;
-16t^2 / 8+ 24t/8+40.0/8=0
-2t^2 + 3t + 5=0
-2t^2 + 5t -2t + 5=0
By factorisation;
t(-2t + 5) +1 (-2t + 5)=0
This means;
(t + 1)(-2t +5)= 0
t + 1 = 0 or -2t + 5 = 0;
t= -1 ; -2t = -5
2t = 5
t = 5/2;
Hence t = -1 or 5/2
60 POINTS PLEASE HELP!!!What is the transformation of A(6, 4) when dilated by a scale factor of ½, using the origin as the center of dilation?
Answer:
see below
Step-by-step explanation:
Multiply each of the coordinates by the dilation factor:
A' = (1/2)A = 1/2(6, 4) = (3, 2)
Point A gets transformed to point A'(3, 2), matching choice B.
Please answer this correctly
Answer:
V = 615.44 mm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h
The diameter is 14 so the radius is 14/2 = 7
V = 3.14 ( 7)^2 4
V = 615.44 mm^3
Answer:
Answer:
V = 615.44 mm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h
The diameter is 14 so the radius is 14/2 = 7
V = 3.14 ( 7)^2 4
V = 615.44 mm^3
Step-by-step explanation:
What’s the correct answer for this? Solve for x
Answer:
x = 40
Step-by-step explanation:
Given 2 secants to a circle from an external point, then
The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
8(8 + x) = 12(12 + 20) ← distribute parenthesis on both sides
64 + 8x = 12 × 32 = 384 ( subtract 64 from both sides )
8x = 320 ( divide both sides by 8 )
x = 40
A line is parallel to y = 3x + 8 and
intersects the point (-3, 7). What is the
equation of this parallel line?
y = [?]X + [ ]
Answer:
y= 3x+16
Step-by-step explanation:
y = 3x + 8 ║ y= mx +b
Since lines are parallel, m=3
y= 3x+b
(-3, 7) intersect
7= 3*(-3) + bb= 7+9b= 16y= 3x+16
7d = _____ hours. who ever answers first gets a reward...
Choose the slope Y intercept that corresponds with the graph
Answer:
A
Step-by-step explanation:
First, find the y-intercept by seeing where the line goes through the y-axis
This is at (0, -2) so the y-intercept is -2.
Then, use rise over run to find the slope.
The slope is -3
Answer:
A. Slope -3, y- intercept -2
Step-by-step explanation:
Well the line passes through the point (0,-2) and from there if you draw a line 1 to the left (run) and then up 3(rise) you connect with the line, so the slope is -3(rise over run)
Hope this helps,
plx give brainliest
What is the answer? Evaluate.
The Great Pyramid is an example of a___ a0_____ a1.
Answer:
Triangular Pyramid
Step-by-step explanation:
A triangular pyramid has 4 triangular sides and a rectangular base
mine was Square, Pyramid
that is what my answer was.
Hope you have a Blessed Day
God is with you.
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, y2 = y1(x) e−∫P(x) dx y 2 1 (x) dx (5) as instructed, to find a second solution y2(x). x2y'' + 2xy' − 6y = 0; y1 = x2
Here is the right and correct question:
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
[tex]y_2 = y_1 (x) \int\limits \dfrac{e ^{-\int\limits P(x) dx} }{y^2_1 (x)} dx \ \ \ \ \ (5)[/tex]
as instructed, to find a second solution [tex]y_2(x)[/tex]
[tex](1-2x-x^2)y''+2(1+x)y' -2y =0; \ \ \ y_1=x+1[/tex]
Answer:
[tex]y_2 = -2-x^2-x[/tex]
Step-by-step explanation:
Let take a look at the differential equation:
[tex](1-2x-x^2)y''+2(1+x)y' -2y =0[/tex]
So; [tex]y''+ \dfrac{2(1+x)}{(1-2x-x^2)}y' - \dfrac{2}{(1-2x-x^2)}y =0[/tex]
where;
[tex]P(x) = \dfrac{2(1+x)}{(1-2x-x^2)}[/tex] ;
Also:
[tex]Q(x) = \dfrac{-2}{(1-2x-x^2)}[/tex]
The task is to find the value of [tex]y_2(x)[/tex] by using the reduction formula [tex]y_2 = y_1 (x) \int\limits \dfrac{e^{-\int\limits P(x) dx }}{y_1^2(x)}dx[/tex] such that [tex]y_1(x) =x+1[/tex]
simplifying [tex]y_2 = y_1 (x) \int\limits \dfrac{e^{-\int\limits P(x) dx }}{y_1^2(x)}dx[/tex] ;we have:
[tex]y_2 =(x+1) \int\limits \dfrac{e ^{-\int\limits \frac{2(1+x)}{(1-2x-x^2)}}}{(x+1)^2} \ \ dx[/tex]
[tex]y_2 =(x+1) \int\limits \dfrac{e ^{\int\limits \frac{-2(1+x)}{(1-2x-x^2)}}}{(x+1)^2} \ \ dx[/tex]
[tex]y_2 =(x+1) \int\limits \dfrac{e^{In(1-2x-x^2)}}{(x+1)^2}\ \ dx[/tex]
[tex]y_2 =(x+1) \int\limits \dfrac{(1-2x-x^2)}{(x+1)^2} \ \ dx[/tex]
[tex]y_2 =(x+1) \int\limits \dfrac{1}{(x+1)^2}-\dfrac{2x}{(x+1)^2}- \dfrac{x^2}{(x+1)^2} \ \ dx[/tex]
Let assume that [tex]I_1[/tex] = [tex]\int\limits \dfrac{-2x}{(x+1)^2} \ \ dx[/tex]
[tex]= \int\limits \dfrac{-(2x+2-2) }{(x+1)^2} \ \ dx[/tex]
[tex]= \int\limits \dfrac{-(2x+2) }{(x+1)^2} + \dfrac{2}{(x+1)^2} \ \ dx[/tex]
[tex]=- In(x+1)^2 - \dfrac{2}{(x+1)}[/tex]
Also : Let [tex]I_2 = \int\limits \dfrac{x^2}{(x+1)^2} \ \ dx[/tex]
[tex]= \int\limits \dfrac{(x+1-1)^2}{(x+1)^2} \ \ dx[/tex]
[tex]= \int\limits \dfrac{(x+1)^2+1-2(x+1)}{(x+1)^2} \ \ dx[/tex]
[tex]= \int\limits \ 1 + \dfrac{1}{(x+1)^2}- \dfrac{2}{(x+1)} \ \ dx[/tex]
[tex]= x - \dfrac{1}{(x+1)}- 2 \ In (x+1)[/tex]
Replacing the value of [tex]I_1[/tex] and [tex]I_2[/tex] in the equation
[tex]y_2 =(x+1) \int\limits \dfrac{1}{(x+1)^2}-\dfrac{2x}{(x+1)^2}- \dfrac{x^2}{(x+1)^2} \ \ dx[/tex]
[tex]y_2 =(x+1) [ \ \int\limits \dfrac{-1}{(x+1)}+ (-In(x+1)^2-\dfrac{2}{(x+1)})-(x-\dfrac{1}{(x+1)}-2 In(x+1))][/tex]
[tex]y_2 =(x+1) [ \ \int\limits \dfrac{-1}{(x+1)}- In(x+1)^2-\dfrac{2}{(x+1)}-x+\dfrac{1}{(x+1)}+2 In(x+1))][/tex]
[tex]y_2 =(x+1) [ \ \int\limits \dfrac{-1}{(x+1)}- 2In(x+1) -\dfrac{2}{(x+1)}-x + \dfrac{1}{(x+1)} +2 In(x+1)][/tex]
[tex]y_2 = -2-x(x+1)[/tex]
Therefore;
[tex]y_2 = -2-x^2-x[/tex]
find the length of the line segment whose endpoints are ( 3, -2 ) and ( 5, 4 ) in simplest radical form
Answer:
2√10
Step-by-step explanation:
The length of this line segment lies along the hypotenuse of a right triangle. As we go from (3, -2) to (5, 4), the horizontal change is 2, and the vertical change 6. Apply the Pythagorean Theorem to find the length of the hypotenuse, which is also the line segment in question:
length = √[ 2^2 + 6^2 ] = √[4 + 36] = √40 = √4·√10 = 2√10
Omar's credit card has an APR of 26% calculated on the previous monthly
balance. His credit card record for the last 7 months is shown in the table
below.
End of
Month
1
2.
3
4
5
6
7
Previous
Balance
$0.00
$301.23
$254.41
$169.46
$191.45
$121.58
$195.55
New
Charges
$301.23
$266.65
$89.54
$198.32
$165.98
$211.34
$397.54
Payment
Received
$0.00
$320.00
$180.00
$180.00
$240.00
$140.00
$340.00
Finance
Charges
$0.00
$6.53
$5.51
$3.67
$4.15
$263
$4.24
Princip
Paid
$0.00
$313.47
$174.49
$176.33
$235.85
$137.37
$335.76
lew
Balance
$301.23
$254.41
$169.46
$191.45
$121.58
$195.55
$257 33
On what amount of money will Omar be charged interest for month 8?
A. $195.55
B. $257.33
C. $397.54
D. $340.00
Answer:
B. $257.33
Step-by-step explanation:
Interest will be charged on the New Balance after the Month 7 payment, $257.33.
How many two-digit primes have both their digits non-prime?
Answer:
{ 11 , 19 , 41 , 61 , 89 } is only the two digits number having both their non-prime.
Step-by-step explanation:
The scatter plot below shows one class of Spanish students’ time spent studying for their final versus the grade that they earned on the final. If a student studies for 75 minutes, what is the best estimate for his or her grade?
A.100
B.90
C.45
D.75
The housing commission of King County is interested in finding out more about the number of rental units that qualify as low-income housing but do not meet the minimum standard living requirements in Seattle and Renton. Units are randomly selected in both cities. Of the 85 low-income units sampled in Seattle (City 1), 17 do not meet minimum requirements. Of the 80 units sampled in Renton (City 2), 24 do not meet minimum requirements. The value of the z-statistic for testing equality of the proportion of low-income rental units that do not meet minimum standards in the two cities is
a) z=-2.33
b) none of these choices
c) Z=-1.96
d) Z= -1.49
e) z=-1.65
Answer:
d) Z= -1.49
Step-by-step explanation:
sample #1 ----->
first sample size,[tex]n_1= 85[/tex]
number of successes, sample 1 = [tex]x_1= 17[/tex]
proportion success of sample 1 ,
[tex]\bar p_1= \frac{x_1}{n_1} = 0.2000000[/tex]
sample #2 ----->
second sample size,
[tex]n_2 = 80[/tex]
number of successes, sample 2 = [tex]x_2 = 24[/tex]
proportion success of sample 1 ,
[tex]\bar p_2= \frac{x_2}{n_2} = 0.300000[/tex]
difference in sample proportions,
[tex]\bar p_1 - \bar p_2 = 0.2000 - 0.3000 \\\\= -0.1000[/tex]
pooled proportion ,
[tex]p = \frac{ (x_1+x_2)}{(n_1+n_2)}\\\\= 0.2484848[/tex]
std error ,
[tex]SE=\sqrt{p*(1-p)*(\frac{1}{n_1}+\frac{1}{n_2} )} \\\\=0.06731[/tex]
Z-statistic = [tex](\bar p_1 - \bar p_2)/SE = ( -0.100 / 0.0673 ) = -1.49[/tex]
Find the length of the hypotenuse. 45 degree triangle 3 square root of
2
Answer:
Hypotenuse = 6
Step-by-step explanation:
Find attached diagram used in solving the question.
The triangle is a 45°-45°-90° triangle meaning it's two legs are equal. The opposite = adjacent
Since we are told to find hypotenuse, it means the length given = opposite = adjacent = 3√2
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse ² = (3√2)² + (3√2)²
Hypotenuse ² = 9(2)+9(2) = 18+18
Hypotenuse ² = 36
Hypotenuse = √36
Hypotenuse = 6
I need Help can someone help me with this answer
Answer:
Hi there!
The distance L between two points (x1, y1) and (x2, y2) in two-dimensional plane could be calculated by:
L = sqrt((y2 - y1)^2 + (x2 - x1)^2)
The distance between two points (-5, 4) and (3, -2) can therefore be calculated by:
L = sqrt( (-2 - 4)^2 + (3 - -5)^2) = sqrt( 6^2 + 8^2) = sqrt(36 + 64) = sqrt(100 ) = 10
=> Option C is correct.
Hope this helps!
:)
Can someone help this is really difficult for me
Answer:
D.strong
Step-by-step explanation:
Answer:
strong
Step-by-step explanation:
definitely not parabolic
pretty positive (not negative)
pretty strong (not weak)
I guess strong
(don't be angry if it is wrong, I'm not a regression and best fit expert)
The dimensions of a triangular pyramid are shown below. The height of the pyramid is 6 inches. What is the volume in cubic inches? 1 point
Answer:
[tex]V=\frac{1}{3}(2.5)(6)=5 \ in^{3}[/tex]
The volume of the pyramid is 5 cubic inches.
Step-by-step explanation:
Assuming that the triangle base dimensions are 1 inche and 5 inches, and the height of the pyramid is 6 inches, the volume would be
[tex]V=\frac{1}{3}Bh[/tex]
Where B is the area of the base (triangle) and h is the height.
[tex]B=\frac{1}{2}bh =\frac{1}{2}(1)(5)=2.5 \ in^{2}[/tex]
Then,
[tex]V=\frac{1}{3}(2.5)(6)=5 \ in^{3}[/tex]
Therefore, the volume of the pyramid is 5 cubic inches.
can the value of y be the same for all X values in a function
Answer:
yes
Step-by-step explanation:
One such function is ...
f(x) = 0
No matter what the value of x is, the value of y is 0. The graph of it is a horizontal line.
John and Trey both leave the coffee shop at the same time, but in opposite directions. If Trey travels 7 mph faster than John and after 5 hours they are 85 miles apart, how fast is each traveling?
John is traveling __________ mph
Trey is traveling __________ mph
Answer:
John is traveling 5 mph
Trey is traveling 12 mph
Step-by-step explanation:
we will concept of speed distance and time where
distance = speed * time
Let the speed of john be x miles per hour
if, Trey travels 7 mph faster than John
then speed of trey = (x+7) miles per hour
Time of travel for both of them = 5 hours
distance traveled by john in 5 hours = x* 5 = 5x miles
distance traveled by john in 5 hours = (x+7) * 5 = (5x + 35)miles
total distance covered by them = 5x miles + (5x + 35)miles = (10x+35) miles
it is given that after 5 hours they were 85 miles apart, thus the distance above calculated should be equal to 85 miles
10x+35 = 85
=>10x = 85 -35
=> 10x = 50
=> x = 50/10
=> x = 5
Thus, speed of john is 5 miles per hour
speed of Trey is: x+7= 5 + 7 = 12 miles per hour
f(n+1)=f(n)-5. If f(1)=100, what is f(6)
Answer:
75
Step-by-step explanation:
Given:
f(1) = 100
f(n+1) = f(n) - 5
Solve for:
f(6)
Solution:
f(1) = 100
f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5
f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1) - 2 x 5
...
f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5
=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75
Hope this helps!
The height of an object above the ground in feet can be modeled as a function of time, t, in seconds using the equation: h(t)= -16(t-3)^2 + 288 for t grater than or equal to 0. a)Find the time in seconds when the object reaches the ground (h=0). Round your answer to the nearest second. Hint- Solve by taking the square root. b) Find all times when the object is at a height of 150 feet. Round your answer to the nearest second. Hint-Solve by taking the square root.)
Answer:
(a) t = 7 sec approximately; (b) t = 6 sec
Step-by-step explanation:
(a) Set h(t)= -16(t-3)^2 + 288 = 0 and solve for t:
16(t-3)^2 = 288
After simplification, this becomes (t - 3)^2 = 18, or t - 3 = ±3√2.
Because t can be only zero or positive, t = 3 + 3√2 = 7 seconds
(b) Solve h(t)= -16(t-3)^2 + 288 = 150:
-16(t-3)^2 = - 162
or (t - 3)^2 = 10.125, or
t - 3 = ±3.18, or, finally, t = 6.18 sec (discard t = -0.18 sec)
A high school football coach is trying to decide which quarterback he should start in next week’s game. He examines the win/lose record for the two quarterbacks. Which quarterback should he start? Explain
The player / wins/ losses
Germaine / 8 / 5
Gabriel / 7 / 4
Answer:
Gabriel has the highest proportion of wins, so he should start.
Step-by-step explanation:
He should start the quarterbacks with the highest proportion of wins.
The proportion of wins is the number of games won divided by the number of games played(wins + losses).
We have that:
Germaine has 8 wins in 8+5 = 13 games. So his proportion of wins is 8/13 = 0.6154.
Gabriel has 7 wins in 7+4 = 11 games. 7/11 = 0.6364
Gabriel has the highest proportion of wins, so he should start.
Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 7%. If the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (Round your answer to one decimal place.)
Answer:
The amount remaining after 24 hours is 17.5 milligrams.
Step-by-step explanation:
The rate of decay is proportional to the amount of the substance present at a time
The equation is
Rate=k*amount remaining at(time)
Where k = constant of proportionality.
So we don't know the value of k, let's find it.
7= k(70)(6)
K= 1/60
Amount remaining after 24 hours
7= 1/60 * x* (24)
(60*7)/24= x
17.5 = x
The amount remaining after 24 hours is 17.5 milligrams.
Which of following equations are identities. Check all that apply.
A. csc x = 1/sin x
B. tan x = 1/sec x
C. sec x = 1/csc x
D. tan x = sin x/cos x
Answer: its A and D
Step-by-step explanation:
Ape x
The trigonometric identities are (csc x = 1/sinx ) and ( tan x = sin x/cos x ). Hence, option A and option D are correct.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
The trigonometric identities are ( csc x = 1/sinx ) and ( tan x = sin x/cos x ). The other two options are incorrect. The correct values for the other two options are tan x = 1/cot x and sec x = 1/cos x.
Hence, option A and option D are correct.
To know more about Trigonometry follow
https://brainly.com/question/24349828
#SPJ2
An obtuse triangle has side lengths of (5.5x + 6.2y) centimeters, (4.3x + 8.3z )and (1.6z + 5.1y) centimeters. Which expression represents the perimeter, in centimeters of the obtuse triangle? PLZ HELP ASAP :)
Answer:
The expression [tex]9.8x+11.3y+9.9z[/tex] represents the perimeter, in centimeters of the obtuse triangle.
Step-by-step explanation:
An obtuse triangle is a triangle where one of the internal angles is obtuse (greater than 90 degrees).
The perimeter of a triangle is the total distance around the outside of a triangle, which can be found by adding together the length of each side. Or as a formula:
[tex]P=a+b+c[/tex]
where:
a, b and c are the lengths of each side of the triangle.
We know that the triangle has side lengths of [tex]a = 5.5x + 6.2y[/tex], [tex]b= 4.3x + 8.3z[/tex] and [tex]c=1.6z + 5.1y[/tex] centimeters. Therefore, the perimeter is
[tex]P=a+b+c\\P=(5.5x + 6.2y)+(4.3x + 8.3z)+(1.6z + 5.1y)\\\\\mathrm{Group\:like\:terms}\\P=5.5x+4.3x+6.2y+5.1y+8.3z+1.6z\\\\\mathrm{Add\:similar\:elements:}\\P=9.8x+11.3y+9.9z[/tex]
What is the surface area of the cube below?
A. 12 units2
B. 20 units2
C. 8 units2
D. 24 units2
Answer:
24 units squared or D
Step-by-step explanation:
The Surface Area of a cube is 6(x²) x is the side length.
x=2
6(4)=24
The value of surface area of cube is,
⇒ SA = 24 units²
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
Given that;
Side of cube = 2 units
Now, We know that;
the surface area of the cube with side 'a' is,
⇒ SA = 6a²
Hence, We get;
the surface area of the cube is,
⇒ SA = 6 × 2²
⇒ SA = 24 units²
Learn more about the cuboid visit:
https://brainly.com/question/26403859
#SPJ5
