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
What is ZT?
4x + 1
W
Х
2x
T
Z
Y
5x - 6
A 7
B. 14
C. 28
D. 29
Answer:
2x+14=12
Step-by-step explanation:
when you look the figure you can see the 2 arrows on the side which means they are constant and so you go on the xY and do 5x-6+4x+1 and solve
The value of the variable x is 7. Then the length of the line segment ZT will be 7 units.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
The parallelogram WXYZ is shown.
We know that the opposite sides of a parallelogram are congruent to each other. Then we have
YZ = WX
5x - 6 = 4x + 1
5x - 4x = 1 + 6
x = 7
Then the length of the ZT will be
ZT = 2x / 2
ZT = x
ZT = 7
The value of the variable x is 7. Then the length of the line segment ZT will be 7 units.
More about the parallelogram link is given below.
https://brainly.com/question/1563728
#SPJ2
68% if the School of the Art Institute of Chicago's 3221 students are
female. How many of the students are women? *
Answer:1933
Step-by-step explanation:
Solve the equation 4(0.2*-5)=12
Hey there!
[tex]Answer:\boxed{\text{FALSE}}[/tex]
[tex]Explanation:[/tex]
[tex]4(0.2\times-5)=12[/tex]
This equation is false because the value of 4(0.2 * -5) is not equal to 12.
Hope this helps!
Find two consecutive whole numbers that 56 lies between.
(NEED ASAP PLEASE !!)
The midpoint of RS is M(3,4) One employee is R (5,0) Find the coordinates of the Other endpoint S. ANSWER ASAP PLEASE
Answer:
( 1, 8 )
Step-by-step explanation:
The distance between (5,0) and (3,4) is (-2,4).
As M is the midpoint we add the distance of half the line to it to get the full line.
(3,4) + (-2,4) is (1,8) which is S
Convert 30 pages/hour to pages/day.
Given: Lines a and b are parallel and line c is a transversal. Prove: 2 is supplementary to 8 What is the missing reason in the proof? Statement Reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answer:
vertical angles theorem
Step-by-step explanation:
Just took the test
Answer:
A. corresponding angles theorem
Step-by-step explanation:
A line has a slope of 2 and passes through the point ( -1, 3). Write an equation in slope intercept form
Answer:
y=2x+5
Step-by-step explanation:
The equation of a line in slope intercept form is written as: y=mx +b where m is the slope and b is the y-intercept.
Taking point (-1,3) , m= 2 and imaginary point on the line, (x,y) then ;
m=change is y-coordinates/change in x-coordinate
m=Δy/Δx
m=y-3/x--1
2= y-3 / x+1
2(x+1) = y-3
2x +2 =y-3
2x=y-3-2
2x=y-5
y=2x+5 is the equation.
Answer:b
Step-by-step explanation:
Find the coordinates of point P that partition AB in the
ratio 1:4.
Please give explanation
Answer:
(1.6, 0)
Step-by-step explanation:
Point P, partitioning AB in the ratio 1:4, implies that it divides AB into, AP and PB, such that AP to PB = 1:4.
Use the formuka below to find the coordinates of point P:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
Where,
[tex] A(1, -1) = (x_1, y_1) [/tex]
[tex] B(4, 4) = (x_2, y_2) [/tex]
[tex] m = 1, n = 4 [/tex]
Solve by plugging the above values where necessary as follows:
[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]
[tex] x = \frac{1(4) + 4(1)}{1 + 4} [/tex]
[tex] x = \frac{4 + 4}{5} [/tex]
[tex] x = \frac{8}{5} [/tex]
[tex] x = 1.6 [/tex]
[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]
[tex] y = \frac{1(4) + 4(-1)}{1 + 4} [/tex]
[tex] y = \frac{4 - 4}{5} [/tex]
[tex] y = \frac{0}{5} [/tex]
[tex] y = 0 [/tex]
The coordinates of P that partitions AB into the ratio 1:4 are (1.6, 0)
find the value power of 3^4
Answer:
81
Step-by-step explanation:
3 ^4 =3 ×3 ×3 ×3 =81
Simplify: 6 (4x - 5)
Answer:
=24x−30
Step-by-step explanation:
=(6)(4x+−5)
=(6)(4x)+(6)(−5)
=24x−30
Answer:
6 (4x - 5)
24x -30
i think question is not complete
Step-by-step explanation:
Convert to use rational exponents: [tex]\sqrt[3]{2}\sqrt[5]{2}[/tex]
Evaluate –3^2+ (2 – 6)(10
factorize6 + 13mn + 7mn?
☽------------❀-------------☾
Hi there!
~
Let's simplify step-by-step.
[tex]6 + 13mn + 7mn[/tex]
Combine Like Terms:
[tex]= 6 + 13mn + 7mn\\= (13mn+ 7mn) + (6)\\= 20mn + 6[/tex]
❀Hope this helped you!❀
☽------------❀-------------☾
Determine whether the given ordered pair is a solution to the system of equations.
Yes or no?
(6,-1)
x-y=3
2x+5y=6
Bowlero Lanes charges $4.50
per game of bowling for each
person. They also charge a flat
fee of $2.25 to rent bowling
shoes. If you rented shoes and
spent a total of $20.25, how
many games did you bowl?
O 2.25x + 4,50 - 20.25
O =
2.25x + 20.25 = 4.50
O 4.50x + 2.25 = 20.25
O
4.50x -2.25 = 20.25
Answer:
4.50x + 2.25=20.25
this should be it
Answer:
4.50x+2.25=20.25
Step-by-step explanation:
4.50*4=18+2.25=20.25
Combine like terms -2+5x-8x+4
Answer:
-3x+2
Step-by-step explanation:
5x-8x-2+4
= -3x+2
Answer:
-2+5x-8x+4
-3x+2
Step-by-step explanation:
-200 + {37}{3}4.5) -200 + 55.5
Answer:
-294.55
Step-by-step explanation:
-200+ 49.95 -200 +55.5
49.95+55.5-200-200
-294.55
Anthony works as a salesperson at an electronics store and sells phones and phone accessories. Anthony earns a $8 commission for every phone he sells and a $4 commission for every accessory he sells. On a given day, Anthony made a total of $80 in commission and sold 5 more accessories than phones. Graphically solve a system of equations in order to determine the number of phones sold, x,x, and the number of accessories sold, yy.
Answer:
There were 5 phones sold and 10 accessories sold.
Step-by-step explanation:
write a number where the digit 1 greater than the digit 7
1000-? i think that works
3a+8+2ax≥3ax-4a what is a
Answer:
A=3 I'm 95% sure but if you're not sure then use PEMDAS
P-parentheses
E-exponets
M-multiply
D-divide
A-add
S-subtract
The measure of an angle is 89 times the measure of its supplementary angle. What is the measure of each angle
Answer:
2 and 178
Step-by-step explanation:
If we take an instance of a number 'x', according to the question we find that x+x*89=180(Because they are complementary)
We get, = 89x+x=180
=> 90x=180
=> x=180/90
=> x =2
So, we found that x=2 , hence the other angle is going to be 2*89=178
This is correct as 2+178=180(as they are supplementary to each other)
Hope this answer helps, Please mark me as brainliest, Thank you!
Ms. bell has a 256 ounce bag of potting soil. what is the greatest number of 6 ounce pots she can completly fill with soil
Answer:
41 bags
Step-by-step explanation:
256 divided by 6 equals 42.6666667 but that is not a whole pot
Solve the system of equations using the tables below
Answer:
(x, y) = (0, 3)
Step-by-step explanation:
(x, y) = (0, 3) is in both tables. Hence, that point is a solution to the system of equations.
Rewrite 8 3/4 as an improper fraction.
A. 35/4
B. 28/3
C.35/8
D.32/4
Answer:
35/4
Step-by-step explanation:
multiply 8 by 4, add the 3
Answer:
the answer is C
Step-by-step explanation:
Martha has 90 red tiles and 72 yellow tiles. She wants to place the tiles in rows using one color for each row without having any tiles left
over. Each row must have the same number of tiles. What is the greatest number of tiles Martha can use for each row?
Answer:
18 tiles
Step-by-step explanation:
If she wants to find the greatest number of tiles for each row, she will want to use up all the tiles. This means we are looking for the highest common factor between the numbers 90 and 72, so all the tiles can be used up in the rows. In order to find the highest common factor we multiply together all the common prime factors between the two:
90 has the prime factors 2x3x3x5
72 has the prime factors 2x2x2x3x3
The prime factors that are common to both are 2, 3 and 3 which multiply together to get:
2x3x3 = 18
The greatest number of tiles Martha can use for each row is 18 and would result in 5 rows of red tiles and 4 rows of yellow tiles.
Hope this helped!
A square serving platter has an area of 49cm2. What is the side length?
Answer:
the answer is 7 because the square of 49 is 7 and it asks for the side to equal it.
Step-by-step explanation:
Density is calculated by dividing the mass by volume. A student measures the mass of an 8 cm3 object as 12.9g. What is the density of the object to the nearest tenths with proper units?
a.) 2 g/cm3
b.) 1.61 g/cm3
c.) 1.5 g/cm3
d.) 1.6 g/cm3
The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the cylinder?
Answer: 27 cm
Step-by-step explanation:
We know that the volume of a cylinder is [tex]V=\pi r^2h[/tex]. Since we were given the volume and radius, we can plug them in and solve for height.
[tex]675\pi =\pi (5^2)h[/tex] [divide both sides by π]
[tex]675 = (5^2)h[/tex] [exponent]
[tex]675=25h[/tex] [divide both sides by 25]
[tex]h=27[/tex]
Now, we know that the height is 27 cm.
MATH PLEASE HELP
heeeeeeeelp