Answer:
Mean = 0
Variance = 4/3
Standard Deviation √4/3
a= 0.9
Step-by-step explanation:
If X has a uniform distribution over [a,b] then its Mean is a+b/2 and variance is (b-a)²/12
Here a= -2 and b= 2
Now finding the mean = a+b/2=-2+2/2= 0
Variance = (b-a)²/12=( 2-(-2))²/12= 4²/12= 16/12= 4/3
Standard Deviation = √Variance= √4/3
b) [tex]\int\limits^a_b f({x}) \, dx[/tex]= \int\limits^a_a {\frac{1}{a- (-a)} } \, dx
=1/2a[x]^a_-a= 2a/2a= 1 (applying the limits to the function)
P(−a<X<a) =[tex]\int\limits^a_b {x} \, dx[/tex]=1/2 * 2a= a (applying the limits to the function)
P(−a<X<a)= 0.9
a= 0.9
In the given question the limits are -a to a . When we apply these in the above instead of [a,b] we get the above answer.
Using the uniform distribution, we have that:
The mean is 0.The variance is of 1.25.The standard deviation is of 1.12.An uniform distribution has two bounds, a and b.
In this problem, interval [−2,2], hence [tex]a = -2, b = 2[/tex].
The mean is:
[tex]E(X) = \frac{a + b}{2}[/tex]
Hence:
[tex]E(X) = \frac{-2 + 2}{2} = 0[/tex]
The variance is:
[tex]V(X) = \frac{(b - a)^2}{12}[/tex]
Hence
[tex]V(X) = \frac{(2 - (-2))^2}{12} = \frac{16}{12} = 1.25[/tex]
The standard deviation is the square root of the variance, hence [tex]\sqrt{1.25} = 1.12[/tex]
A similar problem is given at https://brainly.com/question/14767944
9(x +3) = 4x -3 cant figure it out
Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
[tex]9\left(x+3\right)=4x-3[/tex]
Expand:
[tex]9x+9\times3=4x-3[/tex]
[tex]9x+27=4x-3[/tex]
Subtract 27 from both sides:
[tex]9x+27-27=4x-3-27[/tex]
[tex]9x=4x-30[/tex]
Subtract 4x from both sides:
[tex]9x-4x=4x-30-4x[/tex]
[tex]5x=-30[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}=\frac{-30}{5}[/tex]
[tex]x=-6[/tex]
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Area of triangle = 1/2 × b × h
b = base and h = height
Area = 1/2 × (x+4) × (2)
Area = x + 4Area of rectangle = lb
l = Length and b = Breadth
Area = 10 (x + 2)
Area = 10x + 20
Given:The area of rectangle is 8 times greater than the area of the triangle.
Solution:According to the question,
10x + 20 = 8(x+4)
or, 10x + 20 = 8x + 32
or, 10x - 8x = 32 - 20
or, 2x = 12
or, x = 12/2 = 6
Answer:The value of x is 6.
Hence, Option D. 6 is correct.
Answer:
x = 6
Step-by-step explanation:
Area of rectangle = length * width
= 10 *(x +2)
= 10*x + 10*2
= 10x + 20 unit²
Area of triangle = [tex]\frac{1}{2}bh[/tex]
[tex]=\frac{1}{2}*2*(x +4)\\\\=1*(x+4)\\\\= x +4[/tex]
Area of rectangle = 8*area of triangle
10x + 20 = 8* (x+ 4)
10x + 20 = 8x + 32 {Subrtact 20 from both sides}
10x = 8x + 32 - 20
10x = 8x + 12 {subtract 8x form both sides}
10x - 8x = 12
2x = 12 {divide both sides by 2}
2x/2 = 12/2
x = 6
h(x)= -x^2+3x for h(-3)
11-3(a-2)=27 I NEED TO SHOW WORK HELP
Answer:
3.3 recurring
Step-by-step explanation:
1) expand bracket
11-3a+6=27
2)rearrange equation
11+6=27+3a
11+6-27=3a
17-27=3a
-10=3a
-10/3=a
a=3.3 recurring
Answer:
a= - [tex]\frac{10}{3}[/tex] or -3.33
Step-by-step explanation:
[tex]11-3(a-2)=27[/tex]
subtract 11 on both sides; 27-11=16
[tex]-3(a-2)=16[/tex]
divide both sides by -3
[tex](a-2)=-\frac{16}{3}[/tex]
add 2 on both sides
[tex]a=-\frac{16}{3} +2[/tex]
a=[tex]-\frac{10}{3}[/tex]
You have 2.5 pounds of egg whites
You need 37 ounces to make one serving of consommé
How many servings can you make?
How is this number read out loud 0.034
Answer:
0.034
Step-by-step explanation:
thirty-four thousandths
or
zero point zero three four
An environmental study of a certain community suggests that t years from now, the average level of carbon monoxide in the air will be Q(t)=0.05t^2 + 0.1t + 3.4 parts per million. By approximately how much will the carbon monoxide lvel change during the coming 6 months?
Answer:
3.4625
Step-by-step explanation:
Given the equation:
Q(t)=0.05t^2 + 0.1t + 3.4 parts per million
Where t = time in years
By approximately how much will the carbon monoxide lvel change during the coming 6 months?
t = 6 months = 6/12 = 0.5 year
Q(0.5) = 0.05(0.5)^2 + 0.1(0.5) + 3.4 parts per million
Q(0.5) = 0.05(0.25) + 0.05 + 3.4
Q(0.5) = 0.0125 + 0.05 + 3.4
Q = 3.4625
Carbon monoxide level will change by approximately 3.4625 parts per million in 6 months
What is 3/8-2 what does it equal
Answer:
the answer would be -1 5/8 in fraction form and -1.625 in decimal form
Answer:
-13/8
Step-by-step explanation:
2 = 16/8
3/8-16/8 = -13/8
Solve the inequality. 6x + 14 > 20
???????
Answer:
x > 1
Step-by-step explanation:
6x + 14 > 20
-14 -14
6x > 6
/6 /6
x>1
PLEASE HELP
Twice a number n is at least 30
Answer: n = 15
Step-by-step explanation: 2x15 = 30
Answer:
15
Step-by-step explanation:
15 times 2 is 30. Therefore, 15 can be the correct answer!
Please mark me brainliest if I helped you! Thank you so much!
:)
HELP!!! Need help with my home work!
Which line is perpendicular to y=7x-3 if the perpendicular line passes through the point (7, 7)? a) y=-7x-1 b) y=-7x+8 c) y=-1/7x+8 d) y=-1/7x+1
Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:
-1/7
So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.
7 = -1/7(7) + b
Simplify the right side
7 = -1 + b
Add 1 to both sides
8 = b
The equation of the perpendicular line is:
y = -1/7x + 8
Lupe has 500 Mexican pesos. If 1 U.S. dollar equals 12.87333 pesos, about how many dollars can Lupe buy for her pesos?
Answer:
the answer is C. $38.84
Step-by-step explanation:
f(x) = 3x + 10
g(x) = x - 2
Find f(g(0))
Answer:
4
Step-by-step explanation:
f(g(x)) = 3(x-2) + 10
f(g(0)) = 3x - 6 + 10
f(g(0)) = 3(0) - 6 + 10
f(g(0)) = 0 - 6 + 10
f(g(0)) = 4
Find the distance between the points (-3,-6) and (-3,-2)
Answer:
The answer is
4 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,-6) and (-3,-2)
The distance is
[tex]d = \sqrt{( { - 3 + 3})^{2} + ({ - 6 + 2})^{2} } \\ = \sqrt{ {0}^{2} + ({ - 4})^{2} } \\ = \sqrt{16} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
4 unitsHope this helps you
Solve for x.
-2 (x + 1/4)+1=5
Enter your answer as a fraction in simplest form in the box.
X =
Answer:
[tex]x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}[/tex]
Brian saw 106 birds and half as many squirrels. Which of the following is a good estimation of how many more birds he saw than squirrels?
Answer:
53
Step-by-step explanation:
What is the solution of 3x + y = 9 and 3x - 5y = 15?
OA 1 = 10 y = -1
B.
r = g y = 1
10
C. I = -1. y = 5
OD. x = 1, y = 2
COICO
Step-by-step explanation:
3x + y = 9
3x − 5y = 15
Solve with elimination. Subtract the second equation from the first.
6y = -6
y = -1
Plug into either equation to find x.
3x + -1 = 9
3x = 10
x = 10/3
PLEASE HELP!! Need help with my homework!
Answer:
Line segment: AD (without arrow)
Ray: BA (with one sided arrow)
Rays with common endpoint: AC and AD (with one sided arrow)
Intersection: AE (double sided arrow)
Collinear points: B, A, C
PLEASE MARK AS BRAINLIEST
10. Use Structure What could be a first step to
solving the equation 3x + -0.5(x + 3) + 4 = 14?
Explain.
Simplify the expression. (5x^3+4x^2+6x-3)+(-2x^3+3x^2-7x+9)-(5x+3)(4x^2+x-1)
Answer:
-17x³-10x²+x+9
Step-by-step explanation:
(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(5x+3)(4x²+x-1)
(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(20x³+5x²-5x+12x²+3x-3)
(3x³+7x²-x+6)-(20x³+17x²-2x-3)
-17x³-10x²+x+9
6. How many 1/2 hour periods will make up 4 hours?
Answer:
8 1/2 hour periods will make up 4 hours.
Step-by-step explanation:
half an hour is 30 minutes, and there are 60 minutes in an hour. 4 hours=240 minutes. 240÷30=8.
hope this helps! best of luck <3
If B is between A and C, and AB = x and BC = 12, and AC = 25, then find the value of AB.
AB = ?
Quick I need help, it states what polygon is shown by the street sign
What is the quotient?
5^-6
5^3
Step-by-step explanation:
1/5^(3+6)= 1/5^9
the solution
Step-by-step explanation:
1/5^(3+6)=1/5^9
the solution
Ivan sold 51 boxes of oranges on Friday and 29 boxes on Saturday during a citrus sale. There were 10 oranges in each box. How many oranges did he sell in all??
Answer:
800 oranges
Step-by-step explanation:
51 x 10 = 510
29 x 10 = 290
510 + 290 = 800
what is 3/5 as a percent
Answer:60%
Step-by-step explanation:
3 divided by 5 ten times by 100 and you get 60%
Factorise Fully x^2 + x
Answer:
X(x+1)
Step-by-step explanation:
If it is wrong I'm sorry.
Sita Rahim drove due north for 3 hours at 46 miles per hour. From the
same spot, Yasmina Young drove due south for 2 hours at 43 miles per
hour. How far apart were they after their trip?
Answer:
224 miles
Step-by-step explanation:
What you would do is take the 3 hours times the 46 mph to get 138 miles.
3*46=138
Next, multiply the 2 hours by the 43 mph to get 86 miles.
2*43=86
Lastly, you're going to add the two.
138+86=224 miles.
what is the expression equivalent to 5(6+4)
Answer:
2(15+10)
Step-by-step explanation:
when you multiply the integers by 5 you get 30 + 20 so you just divide them by 10.