Answer:
(72)²=72×72=5,184
.................
A car dealer sells four model types: A,B,C,D. On a given week, this dealer sold 10 cars of model A, 5 of model B, 8 of model C and 3 of model D. The selling prices of each automobile are respectively $12,500, $11,800, $15,900 and $25,300. Represent the data using matrices and use matrix multiplication to find the total revenue.
me Q i did not know somebody Help My frann
A digital communication channel transmits bits of information, usually designated as 0 and 1. If a sender transmits a 0, he/she hopes the recipient receives a 0. If a sender transmits a 1, he/she hopes that the recipient receives a 1. Unfortunately, this is not always the case. Suppose on a certain transmission line, a transmitted 0 is received correctly 90% of the time (10% of the time a 1 is received), and a transmitted 1 is received correctly 74% of the time. (26% of the time a 0 is received.) It is known that on this transmission line, 80% of all bits transmitted are 0 bits. A randomly selected transmitted bit is examined. Say its value is X. The bit received is Y. a.What is the probability that X
Answer:
a) 0.80
b) 0.72
c) 0.02
Step-by-step explanation:
It is assumed that
X = Bit transmitted
Y = Bit received
[tex]X^{0}[/tex] = Transmissted bit is 0
[tex]X^{1}[/tex] = Transmissted bit is 1
[tex]Y^{0}[/tex] = Received bit is 0
[tex]Y^{1}[/tex] = Received bit is 1
As per the given condition
P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 90%
P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] = 100% - 90% = 10%
P [ [tex]Y^{1}[/tex] | [tex]X^{1}[/tex] ] = 74%
P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 100% - 74% = 26%
P [ Tramitted bits are 0 ] = 80%
Now calculate each situation
a)
As all the transmitted bits are o has possibilit of 80% then
P [ X = 0 ] = P [ [tex]X^{0}[/tex] ] = 80% = 0.80
b)
P [ X = 0, Y = 0 ] = P [ [tex]X^{0}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] x P [ [tex]X^{0}[/tex] ] = 90% x 80% = 72% = 0.72
c)
P [ X = 1, Y = 0 ] = P [ [tex]X^{1}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] x P [ [tex]X^{1}[/tex] ] = 10% x ( 100% - 80% ) = 10% x 20% = 2% = 0.02
13 The Lozano's chartered a boat over the holiday
weekend. The cost for the day was $350 plus the
6.5% sales tax. They also decided to tip their
guide 25% of the original cost of the boat rental.
What is the total amount they paid?
Answer:
$460.25
Step-by-step explanation:
350 + .065(350) + .25(350)
= 350 + 22.75 + 87.5
$460.25
A ship caption is mapping
Does this graph represent a function? Why or why not?
-10 -884
O A. Yes, because it passes the vertical line test.
O B. Yes, because it passes the horizontal line test.
C. No, because it is not a straight line.
D. No, because it fails the vertical line test.
round the number 24.9652 to 1 decimal place
Answer: 25.0
Step-by-step explanation:
25
Answer:
25
Step-by-step explanation:
0.06 rounds up into the .9 which is now a 1
at a clothing store, levi's jeans are on sale for 40% off. sales tax is 7%. which expression will calculate the total cost of levi jeans with an original price of x?
Given:
Discount = 40%
Sales tax = 7%
To find:
The total cost of levi jeans with an original price of x.
Solution:
Let x be the original price of the jeans. Then the price after 40% discount is
[tex]Price=x-40\%\text{ of }x[/tex]
[tex]Price=x-\dfrac{40}{100}x[/tex]
[tex]Price=x-0.4x[/tex]
[tex]Price=0.6x[/tex]
The price after 7% of sales tax.
[tex]Price=0.6x+7\%\text{ of }0.6x[/tex]
[tex]Price=0.6x+\dfrac{7}{100}\times 0.6x[/tex]
[tex]Price=0.6x+0.042x[/tex]
[tex]Price=0.642x[/tex]
Therefore, the total cost of the levi jeans with an original price of x is represented by the expression 0.642x.
Use a table of Laplace transforms to find the Inverse Laplace transform of
F(s)= [tex]\frac{3s+9}{s^2+9}[/tex]
f(t)=_____
Answer:
The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].
Step-by-step explanation:
In this case, we should use the following direct and inverse Laplace Transforms:
[tex]F(s) = G(s) + H(s)[/tex] (1)
[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)
[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)
[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)
Then, we apply all these trasforms:
[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]
[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]
[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]
The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].
Answer this correctly with an explanation I’ll give u brainalist + 10 points
Answer:
option D
Step-by-step explanation:
Angle ADF and Angle FDE
ADF+ FDE
Answer:
D
Step-by-step explanation:
An angle measures 60 degree it is divided into 5 angles with equal measures. What is the measure of those angles
Answer:
Each part of the angle would measure 12 degrees
Step-by-step explanation:
Which phrase best describes the relationship indicates by the scatter plotting?
Answer:B
Step-by-step explanation:
Please please help help
Answer:
17 players
Step-by-step explanation:
6 people scored 2
8 people scored 3
3 people scored 4
Write the slope of a line that is parallel to the following line:
Answer:
y = 1/5x + 3
Step-by-step explanation:
To have a parralel line to another line, have the slopes of the lines be the same, just change the y- intecept. HOPE THIS HELPS!
Can someone please help
Answer:
5y + 8
and
8y +5 are the same solutions.
13 in = ___________ ft
Answer:
1.0833333 Feet
Hope this helps! If I could have brainliest im trying to level up.
Step-by-step explanation:
13 Inches =
1.0833333 Feet
(rounded to 8 digits)
PLEASE HELP ITS DONE IN 8 HOURSS!!!!!!
Find the value of x.
HELP
x² = 6² + 19²
x² = 36 + 361
x = √397
Show how you found the slope and y-intercept
Answer:
Slope: [tex]\frac{5}{2}[/tex]
y-intercept: 0
Step-by-step explanation:
First, find the slope. Use two points given to you. In this case, I will use the following:
(x₁ , y₁) = (2 , 5)
(x₂ , y₂) = (4 , 10)
Use the following equation:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the corresponding numbers to the corresponding variables:
slope (m) = [tex]\frac{10 - 5}{4 - 2}[/tex] = [tex]\frac{5}{2}[/tex]
Note the slope intercept form:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
Plug in the slope into m for the equation:
[tex]y = \frac{5}{2} x + b[/tex]
Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:
[tex]5 = \frac{5}{2}(2) + b[/tex]
Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:
[tex]5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0[/tex]
Y-intercept: 0
How many inches are equal to 16 feet
Step-by-step explanation:
16 feet is equal to 192 inches.
Hope it helps :)❤
Answer:
192 inches is equal to 16 feet.
(Hope this helps! Btw, I answered first. Brainliest please! :D)
Somebody help me with this?
Answer:
2
Step-by-step explanation:
The solutions of a quadratic graph are the x-intercepts. As you can see from the graph, the only place that it intercepts the x axis is at 2, so the solution is 2.
AE←→ is a straight line in the diagram.
What is the sum of the measures that represent the measures of each angle if m∠ABC=2x°, m∠CBD=3x°, and m∠EBD=4x°?
What is the measure of each angle?
Explain how an equation can be written to find m∠CBD.
Answer:
hwqvh bjvs bhs ebf
Step-by-step explanation:
If y = 0.5x + 1 and x = 2, what Is y?
A + A =2,A + B =3,A + B × 2 =??..only for geniuses
Answer: 5
Step-by-step explanation:
Need help ASAP!!!!!
Answer:
cos 45 degree = A/H
cos 45 degree = 2 square root 2 / x
x = 2 square root 2 / cos 45 degree
x = 4
Sin 45 degree = O/H
Sin 45 degree = y/ 4
4 x Sin 45 degree = y
y = 2.83
or
we could use tan
tan 45 degree = O/A
tan 45 degree = y / 2 square root 2
2 square root 2 x tan 45 degree = y
y = 2.83
i hope this would elp a little bit.
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
Yes
Step-by-step explanation:
(3, 2) is a solution to the given system of linear equations.
x - 8y = 3 - 8*2 = 3 - 16 = - 13
16x - 16y = 16(x - y) = 16( 3 - 2) = 16*1 = 16
4. What is the circumference of a circle whose area is 81π cm squared?
Step-by-step explanation:
Let us assume R be the radius of circle We know that, area of circle = πR2 81πr2 = πR2 R = √81 r R = 9r Circumference = 2 πr = 2 π (9r) = 18πr
What type of number is v5?
Choose all answers that apply:
1. Whole number
2. Integer
3. Rational
4. Irrational
PLEASE HELP ME ILL GIVE 10 POINTS
Find the area of the parallelogram.
The area of the parallelogram is [a] in2. please help
Answer: 117in²
Step-by-step explanation:
area of a parallelogram= bh (base times height)
13 times 9 = 117in²
How many }2 /3 cups servings are in a 4 cup container of food?
Answer 83
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
4 / [tex]\frac{2}{3}[/tex] = 6
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
maximum height reached by the rocket, to the nearest tenth of a foot.
y = -16x2 + 136x + 57
Answer:
Maximum height = 346 feet
Step-by-step explanation:
Given that,
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as follows :
[tex]y = -16x^2 + 136x + 57[/tex] .....(1)
We need to find the maximum height reached by the rocket. For maximum height,
Put dy/dt = 0
So,
[tex]\dfrac{d}{dt}( -16x^2 + 136x + 57)=0\\\\-32x+136=0\\\\x=\dfrac{136}{32}\\\\x=4.25[/tex]
No, put x = 4.25 in equation (1).
[tex]y = -16(4.25)^2 + 136(4.25)+ 57\\\\y=346\ feet[/tex]
So, the maximum height reached by the rocket is equal to 346 feet.