Answers
Answer:
3√41
Step-by-step explanation:
The diagonal can be gotten using the pythagoras theorem
d² = l²+w²
d² = 12²+15²
d² = 144 + 225
d² = 369
d = √9*41
d = 3√41
Hence the diagonal is 3√41
Related Questions
Use the Normal model N(1156,59) for the weights of steers.
a) What weight represents the 39th percentile?
b) What weight represents the 99th percentile?
c) What's the IQR of the weights of these steers?
Answers
In parts (a)−(d) below, either use the information given to determine the distribution of the random variable, or show that the information given is not sufficient by describing at least two different random variables that satisfy the given condition. (a) X is a random variable such that MX(t) = e 6t 2 when |t| < 2. (b) Y is a random variable such that MY (t) = 2 2−t for t < 0.5. (c) Z is a random variable such that MZ(t) = [infinity] for t ≥ 5. (d) W is a random variable such that MW (2)
Answers
Answer:
a.) X ≈ N (0, 12)
b.) Y ≈ exp(2)
c.) The given distribution is not defined.
d.) Not a standard form of any distribution .
Step-by-step explanation:
Given - In parts (a)−(d) below, either use the information given to determine
the distribution of the random variable, or show that the information
given is not sufficient by describing at least two different random
variables that satisfy the given condition.
To find - (a) X is a random variable such that Mₓ(t) = [tex]e^{6t^{2} }[/tex] when |t| < 2.
(b) Y is a random variable such that [tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.
(c) Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.
(d) W is a random variable such that [tex]M_{W}[/tex](2) = 2
Proof -
a.)
As we know that the moment generating function of normal distribution is given by
Mₓ(t) = [tex]e^{ut + \frac{1}{2}t^{2} \sigma^{2}}[/tex]
Now,
Mₓ(t) = [tex]e^{6t^{2} }[/tex]
= [tex]e^{0(t) + \frac{12}{2} t^{2} }[/tex]
⇒μ = 0, σ = 12
Nd it is represented by
X ≈ N (0, 12)
b.)
Moment generating function of exponential function is given by
[tex]M_{Y}[/tex](t) = [tex]( 1 - \frac{t}{\theta})^{-1}[/tex]
Now,
[tex]M_{Y}[/tex](t) = [tex]\frac{2}{2 - t}[/tex] for t < 0.5.
= [tex]\frac{1}{\frac{2 - t}{2} }[/tex]
= [tex]\frac{1}{1 - \frac{t}{2} }[/tex]
= [tex]( 1 - \frac{t}{2} )^{-1}[/tex]
And it is represented by
Y ≈ exp(2)
c.)
Z is a random variable such that [tex]M_{Z}[/tex](t) = ∞ for t ≥ 5.
The given distribution is undefined.
d.)
[tex]M_{W}[/tex](2) = E([tex]e^{2w}[/tex] )
= [tex]\int\limits^{-\infty}_{\infty} {e^{2w} f(w) } \, dw[/tex]
= 2
It is not the standard form of any distribution.
can you all please help me with a and b
Answers
Answer:
Step-by-step explanation:
a.
area of one face=3²=9 units²
b.
whole surface area=6×3²=6×9=54 units²
Fine floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how long would it take to install carpet in a room that measures 11 feet 9 inches by 13 feet 4 inches?
Answers
Answer:
5 hours and 13 minutes
Step-by-step explanation:
Hope this helps!! Please mark brainlliest.
Que es una ecuación cuadrática
Answers
Step-by-step explanation:
En álgebra, una ecuación cuadrática es cualquier ecuación que se puede reorganizar en forma estándar como ax ^ {2} + bx + c = 0 donde x representa una incógnita, y a, byc representan números conocidos, donde a ≠ 0. Si a = 0, entonces la ecuación es lineal, no cuadrática, ya que no hay término ax ^ 2.
what’s four times a number (algebra wise)
Answers
Answer:
4x
Step-by-step explanation:
What is y if x is 0?
Answers
Answer: is there a picture or something i can see to help you?
1 ÷ 8, or 1/8, is 0.125
Answers
Answer:
both
Step-by-step explanation:
Answer:
true! :)
Step-by-step explanation:
Tony has a bucket filled with 10 green, 3 blue, 1 red, and 7 yellow tennis balls. He removes 4 tennis balls from the bucket without replacing them.
Which of the following outcomes could represent the tennis balls Tony selected?
(A) All of the tennis balls are blue.
(B) There is 1 tennis ball of each color.
(C) There are exactly 3 green tennis balls.
(D) There are more red tennis balls removed than other colors.
(E) The number of red tennis balls is the same as the number of blue tennis balls.
Answers
Answer:
b
Step-by-step explanation:
i need the answer asap
Answers
Step-by-step explanation:
A (-3 , 4) and C ( 2 , -6 ) and ratio of AB : AC is 4:5
now , let AB be 4x and AC be 5x such that
AC = AB + BC
AC - AB = BC
5x - 4x = BC
x = BC
ratio of AB : BC = 4:1
by using section formula
( mx2 + nx1 / m+n , my2 + ny1 / m+n )
where m = 4 and n = 1
B = ( 4×2 + 1×-3 / 4+1. ,. 4× -6. + 1× 4 / 4+1 )
B = ( 8 -3 / 5. ,. -24 + 4 / 5)
B = ( 5/5. ,. -20/5 )
B = ( 1. , -4 )
A rectangle is inside a circle with a 5 cm radius.
What is the area of the shaded region?
Use 3.14 for π.
Enter your answer as a decimal
Answers
Answer:
Do it your self
Step-by-step explanation:
Gross
Answer:
30.5
Step-by-step explanation:
Find the total of a
1560 meal with 15%
tip and 8% tax.
Answers
Write the equation in standard form using integers.
Answers
Answer:
it would be:
3x-4y=-8
Step-by-step explanation:
A rectangular prism has a base that is 1.5 meters by 2 meters, and the prism is 4 meters
high. What is the surface area of the prism?
A 28 m
C 12 m2
B 34 m2
D 31 m²
Answers
Answer:
The answer is C. 12 m2
Step-by-step explanation:
Hope this helps!! :) :) Please mark brainlliest.
HELLPPP NEED TO DO THIS BEFORE 7:00
Answers
Answer:
7
Step-by-step explanation:
it's just 4 2/3 divided by 2/3, right?
Jessica earned $14 by baby sitting 4 hours
What's Jessica rate and Jessica's Unit Rate?
Answers
Answer:
$3.50
Step-by-step explanation:
14 ÷ 4 = 3.5
good luck, i hope this helps :)
Find the slope.
Bonus: Write the equation of the line.
Answers
Answer:
1 so y=1+b
Step-by-step explanation:
9514 1404 393
Answer:
slope: -1equation: y = -x +3Step-by-step explanation:
The slope is the ratio of "rise" to "run". The "rise" is the vertical distance between two points; the "run" is the corresponding horizontal distance.
Here, we see point A is (0, 3) and point B is (1, 2). Then the "rise" is 2 -3 = -1, while the "run" is 1 - 0 = 1. The slope is the ratio ...
m = rise/run = -1/1 = -1
The slope of the line is -1.
__
The point A is the y-intercept, where the line crosses the y-axis. It tells us the value of y is 3 when x=0. So, we can write the equation in slope-intercept form as ...
y = mx + b . . . . . where m is the slope (-1) and b is the y-intercept (+3)
y = -x +3
Solve the inequality.
-3.25y <-61.75
Answers
Step-by-step explanation:
-3.25y < -61.75
-3.25y < -61.75
-3.25. -3.25
whenever an inequality is divided by a negative number the sign changes, so if the sign of the inequality is greater than( > ) it becomes less than( < ) or the other way around. In this case the less than will be greater than.
y > 19 , S.S= [ 20,21,22,23.....]
Given f(x) = -3x + 1 and g(x) = 4*, find the following combinations:
g(x)-f(x)
g(x) •f(x)
f(x)
8(x)
Answers
Step-by-step explanation:
Please refer to the attachment
In AHIJ, the measure of ZJ=90°, HI = 65 feet, and IJ = 31 feet. Find the measure of
H to the nearest tenth of a degree.
I
65
31
J
H
Answers
Answer:
14
Step-by-step explanation:
Dz
Answer:
H=28.4846≈28.5
Step-by-step explanation:
SOH-CAH-TOA
sinH= opposite/hypotenuse=31/65
sinH=31/65
H=28.4846≈28.5 Type into calculator and round to the nearest tenth of a degree.
28.5
Lily and Matthew are walking from home to school. Matthew has to return a library book on the way and follows the sidewalk. Lily walks directly to school. Assume the path they take forms a right triangle. Use the lengths in the diagram to determine how far Lily walks. Round your answer to the nearest tenth of a mile. Show your work and explain how you determined your answer. 20 points btw
Answers
Where could point E be located on the coordinate plane? I’ll mark you as brainliest! Quadrant one, or Quadrant two, or Quadrant three or , Quadrant four , or Y axis, or X axis?
Answers
Answer:
Quadrant II and III
Step-by-step explanation:
Given
Point E
[tex]x < 0[/tex] i.e. negative x
and
[tex]y \ne 0[/tex]
Required: Determine the possible quadrant(s) of E
[tex]y \ne 0[/tex]. means that point E belongs to at least 1 quadrant. So, x-axis and y-axis are ruled out
Solving further:
[tex]x < 0[/tex]
The two quadrants where the x coordinates is negative are II and III.
Hence, point E belongs to quadrants II or quadrants III
How did the Great Depression impact European nations?
Answers
Cam walked 4 units down and 8 units left to reach the origin. What is the ordered pair of his starting point?
Answers
Please do all of the attachments, quick. It is due please
First one with the right answer gets brainlest, and I will give extra points please.
Answers
Second attachment = -7
Third attachment = 25
Identify the diameter of circle A
AB
AS
BT
TS
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Circles.
Since we know that, diameter is always twice of radius, and also one important point that,
A diameter is the longest chord of the circle passing from the centre of the circle, hence here,
BT is the diameter of the circle,
option c.) BT
Answer:
BT
Step-by-step explanation:
This is because a line which passes through the centre of a circle and falls on the circumference is called the diameter.
Write the expression
a2b3c2d in expanded
form.
Answers
Answer:
a*2+b*2+c*2+d
Step-by-step explanation:
If i's meant to be Pythagorean theorem, a*a+b*b=c*c
How to write and graph at least 10 on a number line as a inequality
Answers
Answer:
x≥10
draw a number line, plot 10, put a dot on top of 10 and draw an arrow from the dot all the way to right
Step-by-step explanation:
what is the solution to the equation sqrt 2x+3- sqrt x+2=2
Answers
Answer:
x= 23
Step-by-step explanation:
The correct answer on edge is 23
Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice. How many cups of carrot juice are used for each cup of apple juice?
Answers
Answer:
1/2 cup carrot juice for every cup of apple juice
Step-by-step explanation:
Answer:
1/2 cup carrot juice for every cup of apple juice
Step-by-step explanation:
6:3 6 dived by 6 is 1 and 3 dived by 6 is 0.5 also known as 1/2