Answer:
13.20$ :)
Step-by-step explanation:
40% off of 20$ is 12$ and 10% of 12$ is 1.20$ add that and you get 13.20$
The lifetime in months of a transistor in a certain application is random with probability density function:
f(x) = {0.4e^-0.4x, x>0 0, x<0
a. Compute the mean lifetime.
b. Compute the standard deviation of the lifetimes.
c. Compute the cumulative distribution function of the lifetime.
d. Compute the probability that the lifetime will be less than 6 months.
e. Compute the 60^th percentile of the lifetime.
Answer:
Explained below.
Step-by-step explanation:
The probability density function of lifetime in months of a transistor in a certain application is:
[tex]f(x)=0.4\cdot e^{-0.4x};x>0[/tex]
The probability density function suggests that the random variable X follows a exponential function with parameter λ = 0.4.
(a)
Compute the mean lifetime as follows:
[tex]\mu=\frac{1}{\lambda}=\frac{1}{0.40}=2.5[/tex]
Thus, the mean lifetime is 2.5 months.
(b)
Compute the standard deviation of the lifetimes as follows:
[tex]\sigma=\sqrt{\frac{1}{\lambda^{2}}}=\sqrt{\frac{1}{0.40^{2}}}=2.5[/tex]
Thus, the standard deviation of the lifetimes is 2.5 months.
(c)
The cumulative distribution function of the lifetime is:
[tex]CDF=1-e^{-0.40x}[/tex]
(d)
Compute the probability that the lifetime will be less than 6 months as follows:
[tex]P(X<6)=\int\limits^{6}_{0} {0.40\cdot e^{-0.40x}} \, dx[/tex]
[tex]=0.40\times [\frac{e^{-0.40x}}{-0.40}]^{6}_{0}\\\\=-1\times [e^{-0.40\times6}-e^{-0.40\times0}]\\\\=-0.090718+1\\\\=0.909282\\\\\approx 0.9093[/tex]
Thus, the probability that the lifetime will be less than 6 months is 0.9093.
(e)
Compute the 60th percentile of the lifetime as follows:
[tex]P(X<x)=0.60\\\\\int\limits^{x}_{0} {0.40\cdot e^{-0.40x}} \, dx=0.60\\\\0.40\times [\frac{e^{-0.40x}}{-0.40}]^{x}_{0}=0.60\\\\-1\times [e^{-0.40\times x}-e^{-0.40\times0}]=0.60\\\\1-e^{-0.40x}=0.60\\\\e^{-0.40x}=0.40\\\\-0.40x=\ln(0.40)\\\\-0.40x=-0.916291\\\\x=2.2907275\\\\x\approx 2.3[/tex]
Thus, the 60th percentile of the lifetime is 2.3 months.
Juan And his little brother had a pizza divided into eight slices of equal size juan ate 5 slices and his little brother ate the rest what fractional part did each person eat? juan ate 5 of 8 slices or his brother ate of 8 slices pieces or?
Answer:
Juan ate 5/8 his little brother ate 3/8
Step-by-step explanation:
Answer:
juan = 5/8
brother = 3/8
!!!BRAINY AND 10 PTS!!!
Answer:
Top left
Step-by-step explanation:
Let y^4+5x=11y 4 +5x=11y, start superscript, 4, end superscript, plus, 5, x, equals, 11. What is the value of \dfrac{d^2y}{dx^2} dx 2 d 2 y start fraction, d, squared, y, divided by, d, x, squared, end fraction at the point (2,1)(2,1)left parenthesis, 2, comma, 1, right parenthesis?
Answer:
[tex]\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]
Step-by-step explanation:
Given the expression [tex]y^4+5x=11y[/tex], we are to find the second derivative [tex]\frac{d^2y}{dx^2}[/tex]
This differentiation will be implicit (indirect) as shown:
[tex]4y^3 \frac{dy}{dx} + 5 = 11\frac{dy}{dx} \\4y^3 \frac{dy}{dx} - 11 \frac{dy}{dx} = -5\\\frac{dy}{dx}(4y^3-11) = -5\\\frac{dy}{dx} = \frac{-5}{4y^3-11}[/tex]
Differentiating the second time using quotient rule:
[tex]\frac{d^2y}{dx^2} = \frac{4y^3-11 (0)- (-5)12y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2(\frac{-5}{4y^3-11} ) }{(4y^3-11)^2}\\\\\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]
I WILL GIVE YOU BRAINLIEST
Answer:
3 million or 3 x 10^6
Step-by-step explanation:
You would round this up to three million because the digit before it is 5 or larger. Then, using the three million number, you move the decimal over 6 places to get a digit less than ten so it would become 3 times 10 to the power of 6
The average number of seeds in a package of cucumber seed is 95. The numb
of seeds in the package can vary by eight. What are the maximum and
minimum number of seeds that could be in a package?
Select the correct equation and solutions that match this situation.
Answer:
103 at most and 87 at least
Step-by-step explanation:
95-8=87 seeds
95+8=103 seeds
Answer with step-by-step explanation:
Max: 25 + 3 = 28
Min: 25 - 3 = 22
Hope this helped!
The velocity-time graph for a cycle is shown.
104
8
8
Velocity (m/s)
2
0
0 2 4 6 8 10 12 14 16 18 20
Time (seconds)
a) Work out the distance travelled on the cycle in the first 14 seconds.
b) Work out the acceleration in the first 4 seconds.
Answer:
a) 98m
b) 2m/s
Step-by-step explanation:
a) 2+4+6+8+10(8) = 98m
b) a = change/time = 8m/4s = 2m/s
not completely sure about a) so pls double check that <//3
good luck and hope this helped a bit!
The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².
How to find the area under a graph?The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.
The velocity time graph given in the problem can be used to find the distance travelled.
The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.
This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.
Now, the total area is given as,
1/2 × b × h + l × b
= 1/2 × 4 × 8 + 8 × 10
= 16 + 80
= 96
(b) The acceleration is given as the rate change of velocity with respect to time.
The acceleration in first 4 seconds is given as,
a = (8 - 0)/4
= 2
Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.
To know more about area of a graph click on,
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TIMED TEST PLEASE HELP Find the distance between the points -5 and -3 on a number line.
Answer:
-2
Step-by-step explanation:
Answer:
(see below)
Step-by-step explanation:
You can also solve this algebraically:
–5 – (–3)
–5 + 3
–2
Since it can't be negative units between two points on a number line, you can multiply it by –1 to make it a positive number:
–2 (–1)
2 units
Or, you can use a number line. I have screenshotted a number line attached below for you.
Hopefully this helps!
Which equation has infinitely many solutions?
12 + 4x = 6x + 10 – 2x
5x + 14 – 4x = 23 + x – 9
x + 9 – 0.8x = 5.2x + 17 – 8
4x – 2x = 20
Answer:
Bbbbbbbbbbbbbbbbbbbbbb
I need help guys.
Solve for x
y = x-v/b
Answer: I hope this is what you are looking for
Step-by-step explanation:
so the answer is
x=y +v/b
State whether the data described below are discrete or? continuous, and explain why. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are discrete because the data can only take on specific values. C. The data are continuous because the data can take on any value in an interval. D. The data are continuous because the data can only take on specific values.
Answer:
The correct answer is:
The data are continuous because the data can take on any value in an interval. (C)
Step-by-step explanation:
Discrete data are data that can take on certain limited values. There is a limit to what values can be assigned to such data. For example, the number of children in a school will just be whole numbers, either 20 or 50 or 55 or 108, etc, you cannot have 100.5 children. This makes it limited to the values it can take on, hence it is discrete
Continuous data, on the other hand, are data that can take on any value within a scale. The possibility of assigning a value is unlimited. for example height. The height can be 3m, 3.8m, 4.57m, etc, there's no limit to the possibility that a height can take. Other examples are; temperature, weight, acceleration, volume etc. In this example the volume of a room in cubic feet can be 30ft³, 50.6ft³, etc. The possibilities are endless, hence it is a continuous data.
what 3+6+9
answer 4 pointss
ayo the answer is 18.
Answer:
3+6+9
9+9= 18
Therefore 3+6+9=18
22
2. Which is the same as 3y-9x+6= 0
Answer:
y = 3x − 2
Step-by-step explanation:
Hope This Helps!
Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)
Answer:
Answer:
(5, 20)
Step-by-step explanation:
We can find the slope of the line
m = (y2-y1)/(x2-x1)
= (40-0)/(10-0)
= 40/10
=4
Since the line goes through (0,0) the y intercept is 0
y = mx+b
y = 4x
Lets check the points by substituting into the equation
40, 10) 10 = 4*40 10 =160 no
(–5, –10) -10 = 4*-5 10 = -20 no
(5, 20) 20 = 4*5 20 = 20 yes
(–10, –20) -20 = 4*-10 -20 = -40 no
Step-by-step explanation:
Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)
Answer
c
Step-by-step explanation:
egde2020
Write the equation of a line that passes through (0, -6) and (11,1).
Answer:
y=7/11x-6
Step-by-step explanation:
Which equation is equivalent to 2x + 3y = 12?
y=2/3x+4
y= -2/3x+12
y= -2/3x+4
y=2/3x+12
Answer:
y= -2/3x + 4
Step-by-step explanation:
2x + 3y = 12
3y = 12 - 2x
3y/3 = 12/3 - 2x/3
y = 4 -2x/3
y = -2x/3 + 4
-2x-3+4x+8 what’s the answer
Answer:
2x-3+8v
Step-by-step explanation:
Answer:
Assuming we are simplifying, it should be 2x+5
Step-by-step explanation:
Combine like terms.
8-3 is 5
4x-2x is 2x
So yeah
Alex has 64 cubes with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. Part B: If there are 64 of these cubes in the larger prism, then what is the volume, in cubic feet, of the larger rectangular prism?
Answer:
The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet
Step-by-step explanation:
Length of small cube =[tex]\frac{1}{2} ft[/tex]
Volume of each cube = Side^3
Volume of each cube =[tex](\frac{1}{2})^3[/tex]
=[tex]\frac{1}{8} ft^3[/tex]
Volume of 64 cubes = [tex]64 \times \frac{1}{8}[/tex]
Volume of 64 cubes [tex]= 8 ft^3[/tex]
We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.
So, Volume of 64 cubes = Volume of rectangular prism
So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet
what are the solutions of the equation below
(x-2)(x+9)=0
Answer: {2, -9}
Step-by-step explanation: Think of these two binomials, x -2 and x + 9,
as two numbers that are multiplying together to equal zero.
In order for two numbers to multiply together to equal zero,
either one number or the other number must equal zero.
So for two binomials to multiply together to equal zero,
either one binomial or the other binomial must equal zero.
So we can split this problem up into two parts.
If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.
On the left, add 2 to both sides and we have x = 2.
On the right, subtract 9 from both sides and we have x = -9.
For our final answer we use set notation.
So our answer is {2, -9}.
Answer:
2 and -9
Step-by-step explanation:
x-2=0
x=2
x+9=0
x=-9
Can you help me with this please?
6^3 simplified
6^2 simplified
6^1 simplified
6^0 simplified
Type each answer to each problem
Answer:
6^3 is 216
6^2 is 36
6^1 is 6
6^0 is 1
Step-by-step explanation:
Work out the value of
5^8 x 5^-2 /
5^4
Answer:
the answer is 25
Step-by-step explanation:
After simplifying the expression the final value of the expression is given by 25
What are exponents?Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.
Given here : The expression 5⁸×5⁻² / 5⁴
We know from the law of exponents, for any non-zero term a,
[tex]a^m.a^n=a^{m+n}[/tex]
Thus simplifying the expression we get
5⁸×5⁻² / 5⁴
=5⁸⁻² /5⁴
=5⁶⁻⁴
=5²
=25
Hence, The value of the expression is 25
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A school is planning a fundraiser with all profits going to charity. The amount of profit is found by subtracting the total cost from total ticket sales.
Ticket Sales: 200x−10x2
Event Cost: 500+20x
If x represents the price of a ticket, what ticket prices will result in a profit of $200 or more? Express your answers rounded to the nearest cent.
A
$5.69≤x
B
$5.69≤x≤$12.33
C
$3.29≤x
D
$3.29≤x≤$21.29
Please help.
The value of the x should be more than or equal to 5.69. Then the correct option is A.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.
A school is planning a fundraiser with all profits going to charity.
Ticket Sales: 200x − 10x²
Event Cost: 500 + 20x
The amount of profit is found by subtracting the total cost from total ticket sales. A profit of $200 or more.
Event cost − Total sales ≥ Profit
(500 + 20x) − (200x − 10x²) ≥ 200
− 200x + 10x² + 500 + 20x − 200 ≥ 0
10x² + 180x − 700 ≥ 0
10x² − 180x + 700 ≥ 0
x² − 18x + 70 ≥ 0
On simplifying, we have
(x − 5.69) (x − 12.33) ≥ 0
x ≥ 5.69, 12.33
Thus, the value of the x should be more than or equal to 5.69. Then the correct option is A.
More about the inequality link is given below.
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Find the measure of each angle indicated
Answer:
Below
Step-by-step explanation:
1. 50
2. 40
3. 55
4. 39
5. 40
6. 92
Answer:
1. 60 deg
2. 40 deg
3. 65 deg
4. 39 deg
5. 60 deg
6. 88 deg
Step-by-step explanation:
hope this helps
9 divided by 2,488 ??????
Answer: 0.0036173633440514 = [tex]\frac{9}{2,488}[/tex]
Answer:
00.0036173633
Step-by-step explanation:
use calculator
can some one solve this its subtitution i need the brainlyist i will give yo a thanks a five star and brainlyist
Step-by-step explanation:
Hey there!
Given;
The equations are;
y = 8x...........(i)
y = 2x-12..........(ii)
Now;
Substituting the value of "y" from equation (i).
8x = 2x-12
8x-2x = -12
6x = -12
X = -12/6
Therefore, X= -2.
Now; Substituting the value of "y" in equation (i)
y = 8*-2
y = -16
Therefore, y= -16.
Therefore, x= -2 and y= -16.
Check:
y = 2x
-16= 8*-2
-16 = -16 (true).
Hope it helps...
HELP HELP HELP PLEASE
Answer:
3/5 lmk if you need the work
Step-by-step explanation:
What is (7.8 x 10) • (1.0 x 10)
780 is the answer. Hope this helps :)
Which statement is true regarding the graphed functions? ((help please :,)
how can you find the y-intercept in a table
Answer:the y-intercept will be when y=0. the answer will be the x value that corresponds with y=0.
Step-by-step explanation:
Look at the number 451,433. What place is the 5 in?
Answer:
Step-by-step explanation:
the 10,000's column
hope this helped :)
Answer:
[tex]the \: place \: of \: 5 \: is \: 50000 \: \\ i.e \: tent \: of \: thousand.[/tex]