Answer:
[tex]\lambda=10000[/tex] miles
Step-by-step explanation:
We are given that
[tex]\beta=10000 miles[/tex]
Exponential distribution function
[tex]f(x)=\frac{1}{\beta}e^{-\frac{x}{\beta}}, x\geq 0[/tex]
0, otherwise
Using the formula
[tex]f(x)=\frac{1}{10000}e^{-\frac{x}{10000}},x\geq0[/tex]
0, otherwise
[tex]E(x)=\int_{-\infty}^{\infty}xf(x) dx[/tex]
Using the formula
[tex]\lambda=E(x)=\frac{1}{10000}\int_{0}^{\infty}xe^{-\frac{x}{10000}}dx[/tex]
[tex]\lambda=\frac{1}{10000}([-10000xe^{-\frac{x}{10000}}]^{\infty}_{0}+10000[-10000e^{-\frac{x}{10000}}]^{\infty}_{0})[/tex]
Using formula
[tex]\int u\cdot vdx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx[/tex]
[tex]\lambda=\frac{1}{10000}(0-(10000)^2(0-1))=10000[/tex]
Hence, the value of [tex]\lambda=10000[/tex] miles
I need help with this
Answer:
x = 24.52
Step-by-step explanation:
Since this is a right triangle, use Pythagorean Theorem to solve for the hypotenuse.
Pythagorean Theorem: a² + b² = c²
24² + 5² = x²
576 + 25 = x²
601 = x²
√601 = x
If a number reads the same forwards or backwards, like 404 and 1221, then it's called a palindrome. The first palindrome greater than 9999 is 10 001. What is the fifth palindrome greater than 9999?
Answer:
The fifth Palindrome greater than 9999 is 10,401
Step-by-step explanation:
Here, we want to get the fifth palindrome greater than 9999
To get this, we are going to write out the palindromes that are greater than 9999
we have them as follows to the fifth
10,001
10,101
10,201
10,301
10,401
So the fifth Palindrome greater than 9999 is 10,401
The fairs train ride covers a distance of 3 miles in 20 minutes what is the speed for the ride in miles per hour?
Answer:
20/60=1/3
R= d/t
R=3/ [tex]1/3[/tex]
R=9
Step-by-step explanation:
If point A is located at -8 on a number line and point B is located at 3 what is the distance between the two points?
Answer:
5
Step-by-step explanation:
you just have to subtract 3 by 8 and then you get 5
Answer:
11
Step-by-step explanation:
You are finding the space between them so we are going to make them absolute values and then add them:
|-8| + |3| = 8+3 = 11
Write an equation of the locus of all points equidistant from the x axis and the y axis and whose coordinates have the opposite signs.
Answer:
y=-x
Step-by-step explanation:
Since the y-axis and x-axis are intersecting lines then you need to apply the locus of intersecting lines which would be the angle bisector and since the problem is asking for the opposite signs you need to make it -x instead of x.
Hope this helps
:)
5(m + 4) = -2(-4 - m) + 3
Answer:
m=-3
Step-by-step explanation:
Answer:
m= -3
Step-by-step explanation:
Hey can anyone help me with this question
Answer:
there's no question there's only lines
Step-by-step explanation:
if you comment the question then I can help
A 552 -inch is cut into two pieces. One piece is three times the length of the other. Find the length of the shorter piece.
Answer: 138 inches
Step-by-step explanation:
138*3=414inches=Length of larger piece
414/3=138 inches=Length of smaller piece
414+138=552 inches
What property is shown in the example below?
(x3 + 2 x) + x = x3 + (2x + x)
A. Identity
B. Distributive
C. Commutative
D. Associative
Answer:
Associative
Step-by-step explanation:
Suppose you have a population in which 60% of the people approve of gambling. Is the value 0.60 a parameter or a statistic
Answer:0.60 is a parameter .
Step-by-step explanation:
In statistics, a parameter is a number that summarize the data for a whole population.
On the other hand , statistic gives a measure for sample of population.
Given: We have a population in which 60% of the people approve of gambling.
60% = 0.60
Since it is a measure for the population , it is denoted as population parameter.
Hence, 0.60 is a parameter not statistic.
Helpppppp meeee please and thank you
What is the solution of the following systems of equations? y = 1/2x
y = -x -3
Answer:
x = -2, y = -1
Step-by-step explanation:
System of Equations
Solve the system:
y = 1/2x
y = -x - 3
Multiplying the first equation by 2:
2y = x
Substituting x in the second equation:
y = -2y - 3
Adding 2y:
3y = -3
y = -3/3
y = -1
And x = 2*(-1) = -2
Solution: x = -2, y = -1
1.
4.ft.
6 ft
5 ft
4 ft
Answer: And the 4 ft 5 ft 6 ft 4 ft
Step-by-step explanation:
Answer:
Your answer will be 4ft. Please give brainlest
Step-by-step explanation:
In the figure below, k || o. Find the values of y and z.
Answer:
y = 112
z = 27
Step-by-step explanation:
Alright,
So we know that a straight line adds up to 180. And looking at the figure, it looks like 68 + y = 180 if you do some visualization.
So, we can already calculate y.
y = 180 - 68
y = 112
Now we find z. z here is represented in an expression. We can see that y and the expression z is in are congruent to each other which means they will equal each other. And since we know that y = 112, we know that the expression z is in is also equal to 112.
So we set up an equation like so:
112 = 3z + 31
And start to simplify:
81 = 3z
Finally we divide:
27 = z
Therefore, z is 27
WILL MARK BRAINLIEST
Which graph represents the solution set of -2y > 7x + 4?
we have
----> inequality A
The solution of the inequality A is the interval ------> [-1,∞)
-------> inequality B
The solution of the inequality B is the interval ------> (-∞,7]
The solution of the compound inequality is
[-1,∞) ∩ (-∞,7]=[-1,7]
therefore
the answer in the attached figure
Which of the following is the reciprocal of 5? A.0.5 B.5 C.1/5 D.50
Answer:
Step-by-step explanation:
Option C 1/5 is the correct answer
which is the real world situation that can be described by a linear inequality
Answer:
Pretty sure it's B
Step-by-step explanation:
Everything else would be more like an equation. I think B is the only inequality.
A woman purchased a used car for $3,000. She decided to sell the car for 20% above her purchase price. She could not sell the car so she reduced asking price by 20%. If she sells the car at the reduced price, she will have a profit or a loss or will she break even?
10.1 #17
Answer:
She will have a loss of $ 120
Step-by-step explanation:
Purchase price of car = $ 3000
20% of 3000 = [tex]\frac{20}{100}*3000[/tex]
= 20 * 30
= $ 600
Selling price = 3000 + 600 = $ 3600
Reduction price = 20% of 3600
[tex]\frac{20}{100}*3600[/tex]
= 20 * 36
= $ 720
Current selling price after reduction = 3600 - 720
= $ 2880
Loss = 3000 - 2880
= $ 120
i need help plss dont lie
Answer:
A x B = 5/6 x 3/4 = 15/24
Answer = 15/24
Step-by-step explanation:
Answer:
We are asked to find the area of the rectangle that has side lengths of 3/4 yard and 5/6 yard.
We know that area of rectangle is width times length.
To find the area of the given rectangle we will multiply both side length as:
Area of regatangle = width x Lenghth
Area of regtangle = 3/4 x 5/6 yard to the 2 power
Area of regtangle = 1/4 x 5/2 yard to the 2 power
Area of regtangle = 1 x 5/ 4x2 yard to the 2 power
Area of regtangle = 5/8 yard to the 2 power
Therefore, the area of the given rectangle would be 5/8 square yards.
Which is the graph of g(x) = 2^x-1 + 3?
Answer:
gave no examples.. this is what I got
Step-by-step explanation:
complete the ratio table
15:15
36:60
54:90
Hope it helps~
As pointed out, you lose if the pile has 1, 6, 11 or 16 sticks. How many sticks are needed in the next two piles for you to lose
Answer:
21 and 26 totaling 47sticks
Step-by-step explanation:
Th number of sticks form an arithmetic progression
1, 6, 11, 16...
The nth term of an arithmetic progression is expressed as;
Tn = a+(n-1)d
a is the first term = 1
d is the common difference
d = 6-1 = 11-6 = 5
n is the number of terms
The next two terms are the fifth and sixth term
T5 = 1+(5-1)5
T5 = 1+4(5)
T5 = 1+20
T5 = 21
T6 = 1+(6-1)5
T6 = 1+5(5)
T6 = 1+25
T6 = 26
Hence the number of sticks needed in the next two piles are 21 and 26 totaling 47sticks
Use the Distributive Property to expand 2 (-3x + 5).
Answer:
-6x+10
Step-by-step explanation:
The distributive property states that multiplying each term will yield the same product as multiplying the sum. This means to expand this expression multiply both addends by 2 then add together. So, the new expression is, 2 * -3x + 2 * 5, which simplifies to -6x+10.
Answer:
Step-by-step explanation:
-6x+10
What is the area of the regular hexagon ABCEF? Explain your reasoning.
Answer:
1350[tex]\sqrt{3}[/tex] units²
Step-by-step explanation:
The regular hexagon consists of 6 equiangular triangles
The area (A) of a equilateral triangle is calculated as
A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ( s is the side length )
Here s = 30 , then
A = [tex]\frac{30^2\sqrt{3} }{4}[/tex] = [tex]\frac{900\sqrt{3} }{4}[/tex] = 225[tex]\sqrt{3}[/tex] units²
Thus the area of the regular hexagon is
area = 6 × 225[tex]\sqrt{3}[/tex]
= 1350[tex]\sqrt{3}[/tex] units² ← exact value
≈ 2338.3 units² ( to 1 dec. place )
Nathaniel's car used 10 gallons to travel 360 miles. How far can he travel on 16 gallons?
Answer:
16 gallons will get you 576 miles
Step-by-step explanation:
We use ratios to solve this question
10 gallons : 360 miles
Divide both sides by 10 to find 1 gallon
1 gallon:36 miles
multiply both sides by 16
16 gallons : 576 miles
Answer:
576 miles
Step-by-step explanation:
If Nathaniel's car uses 10 gallons to travel 360 miles, then the car can drive 36 miles per 1 gallon (360/10=36).
If he has 16 gallons and he can drive 36 miles per gallon, he can travel 576 miles (36*16=576).
What is happening to the pieces (units) when the numerator and denominator are getting larger?
I NEED HELP!!!!!!
Answer:
the number itself, (units) are getting bigger
Step-by-step explanation:
pls answer all questions
x - 3 = 11
2x = 10
x4=10
x + 6 = 15
3x = 15
7 = x - 6
x - 5 = -7
x6 = -12
x - 7 = -17
-4 + x = 9
-7 + x = -10
-x = 11
7x = 0
12x = 7
x3= -5
Emily paid $3.84 in sales tax on an item that cost $64.00 before tax. At that rate, how much would be paid in sales tax for an item that cost $82.00?
Answer:
8% tax rate & $ 4.40
Step-by-step explanation:
<3
Evaluate: 8 * 6+ (12.- 4) = 2
Answer:
This is a false equation
Step-by-step explanation:
Translate and solve: 72 greater than r is less than -432,
Answer:
r < -504
Step-by-step explanation:
The problem says;
72 + r < -432
Inverse operations;
72 + r < -432
-72 -72
r < - 504
