g find the mean and variance for x suppose that a random variable x has a continuous uniform distribution 1/2 2
Answers
The mean of x is 1.25 and the variance of x is approximately 0.1458.
The continuous uniform distribution has a constant probability density function (PDF) between its minimum and maximum values. In this case, the minimum value is 1/2 and the maximum value is 2.
The mean of a continuous uniform distribution is the average of the minimum and maximum values:
mean = (minimum + maximum) / 2
= (1/2 + 2) / 2
= 1.25
The variance of a continuous uniform distribution is defined as:
\(variance = (maximum - minimum)^2 / 12\)
\(= (2 - 1/2)^2 / 12\)
= 7/48
≈ 0.1458
Learn more about mean here https://brainly.com/question/31101410
#SPJ4
Related Questions
Which of the following equations best represents the graph below?
Answers
= n! Use: n k!(n-k)! to solve the combination. At a Chinese buffet, there are five entree selections. If two entrees may be selected, how many ways may the plates be filled? [?] ways Enter
Answers
Ms. Duncan went to dinner with her family and the cost for her food was $42. She wants to
give a 20% tip. How much money should Ms. Duncan leave for tip? *
Answers
Answer:
Ms. Duncan should leave a $8.40. tip.
A Sumer job pays $5 per hour
b. After working 24 hours, do you have enough money to buy an MP3
player that costs $100? Explain your reasoning.
Answers
Answer:
Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.
Step-by-step explanation:
hourly pay: $5/hour
number of hours: 24 hours
total pay = hourly pay × number of hours
total pay = $5/hour × 24 hours
total pay = $120
MP3 player costs $100.
Total pay is $120.
Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.
Apply what you know about triangles to write and solve equations to find the missing angle measures in the figure.
Answers
Answer:
a= 55
b= 65
c= 60
d= 30
Step-by-step explanation:
a -> linear pair
b-> triangles =180
55+60+b=180
c-> 180=90+c+30
d-> part of a right angle
90-60=d
Please Help!!Which is the set of whole numbers between ten and fifteen? Responses A. {12, 14} B. all real numbers C. {11, 12, 13, 14} D. null set
Answers
How many times does 10 go into 4 1/2
Answers
Answer: 0.45
Step-by-step explanation:
it goes into 4 1/2 in 0.45 times! Hoped this helped!
Can some one help me with this ?
Answers
Answer:
x= 91°
Step-by-step explanation:
Sum of all angles in a triangle is 180°
So 180 - 44 - 45 = 91
x = 91
Domain:
O-85x<0 or 0
O-85x50or 0≤x≤2
O 1
O 2
Answers
The domain and the range of the piecewise function in this problem are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.Learn more about domain and range at https://brainly.com/question/26098895
#SPJ1
Please Help 100 points!
Answers
Answer:
RTS
Step-by-step explanation:
It ads up to 90 degrees.
Answer:
∠RTS
Step-by-step explanation:
and you said 100 points , its only 50 ..
list the transformations
Answers
Answer:
on what?
Step-by-step explanation:
two figures are similar with a similarity ratio of 4:3. If the perimeter of the larger figure is 24cm, find the perimeter of the smaller figure
Answers
The perimeter of the smaller figure among the two figures with similarity ratio of 4:3 is 18cm.
What is ratio?A ratio is a number that allows one quantity to be expressed as a fraction of another quantity. Two numbers in a ratio can only be compared if they have the same units. Use ratios to compare two things.
Understanding similarity ratio:The similarity of two similar shapes is the ratio of each pair of corresponding sides. Simply put, when two figures are found to be similar, all pairs of corresponding sides have the same proportions.
According to the information:
Perimeter of larger figure= 24cm
Let, perimeter of smaller figure be "x"
So,
4:3 = 24/x
4/3 = 24/x
⇒x = (24 x 3)/4
⇒x = 72/4
⇒x = 18
Thus the perimeter of smaller figure is 18cm.
To learn more about ratio and proportion, visit the link below
https://brainly.com/question/14289175
#SPJ1
I'LL MARK THE BRAINLIEST
The diameter of a circle is 10 3/4 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer: The radius of the circle is 5 3/8 inches.
Step-by-step explanation:
The radius of the circle is half of the diameter. We can start by converting the mixed number diameter to an improper fraction:
10 3/4 = (10 × 4 + 3)/4 = 43/4
So, the diameter of the circle is 43/4 inches. The radius is half of this, which we can find by dividing by 2:
r = (43/4) ÷ 2 = 43/8
To simplify the fraction, we can divide the numerator and denominator by their greatest common factor (GCF), which is 1:
r = 43/8 = 5 3/8
Therefore, the radius of the circle is 5 3/8 inches.
Answer:5 3/4
Step-by-step explanation:
10 3/4 * 1/2
1/2 * 43/4 = 43/8
8/43=5 3/4
Multiply. Your answer should be a monomial in standard form. (-b7)(7b4) =
Answers
Answer:
-7b^11
Step-by-step explanation:
7b^4×−b^7
The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 free
throws, find how many free throws she attempted.
a 3 free throws
c. 21 free throws
b. 7 free throws
d. 4 free throws
B
С
D
Mark this and retum
Save and Exit
Next
Submit
Answers
Answer:
21
Step-by-step explanation:
I noticed that 4 times 3 equals 12, which is the number of free throws she completed. I multplied 3 by 7 and got 21
mhm so basically if you this about it the number of letters in the rainbow is also the color of your dog WAKE UP WAKEUP WAKEUP and if your dog's color matches the blue sky the answer is b
Use your calculator to find the angle such that SecX = 1/2x Round to 1 decimal place).
Answers
we have the equation
sec(x)=15/4
Find out the value of x
x=sec^-1(15/4)
using a calculator
x=74.5 degreesWhat is the least integer value in the solution set to log3(8x – 37) > 5?
a 34
b 35
c 36
d 37
Answers
Answer:
C. 36
Step-by-step explanation:
I just did this question
Answer:
It's actually 35
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A/60
B/45
C/105
The measurement of angle A is
The measurement of angle B is
The measurement of angle Cis
Answers
The second pair of points representing the solution set of the system of equations is (-6, 29).
To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.
Given the system of equations:
y = x^2 - 2x - 19
y + 4x = 5
Substituting the x-coordinate of the second point (-6) into equation 2:
y + 4(-6) = 5
y - 24 = 5
y = 5 + 24
y = 29
Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).
for such more question on system of equations
https://brainly.com/question/4262258
#SPJ8
Question
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
y = x2 − 2x − 19
y + 4x = 5
The pair of points representing the solution set of this system of equations is (-6, 29) and
_________.
Lucy and Alicia planned to sell 128 glasses (cups) of lemonade,
How many gallons of lemonade would they need to make?
Answers
Lucy and Alicia should be planning to make 8 gallongs of lemonade.
If this helps, please mark brainliest!
Have a wonderful day!
Write 0.000000624 in scientific notation
Answers
Answer:
6.24 x \(10^{-7}\)
Step-by-step explanation:
0.000000624 in scientific notation is 6.24 x \(10^{-7}\)
Answer:
Step-by-step explanation:
The resulting number is in scientific notation. In this case, the number is 6.24 * 10^-7.
Simplify using Synthetic Division
Answers
Write down the first coefficient without changes:
−3223−10−3
−3
2
3 −10 −3
2
Step 2
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223(−3)⋅2=−63+(−6)=−3−10−3
−
3
2
3
−10 −3
(
−
3
)
⋅
2
=
−
6
2
3
+
(
−
6
)
=
−
3
Step 3
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223−6−3−10(−3)⋅(−3)=9(−10)+9=−1−3
−
3
2 3
−
10
−3 −6
(
−
3
)
⋅
(
−
3
)
=
9
2
−
3
(
−
10
)
+
9
=
−
1
Step 4
Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).
Add the obtained result to the next coefficient of the dividend, and write down the sum.
−3223−6−3−109−1−3(−3)⋅(−1)=3(−3)+3=0
−
3
2 3 −10
−
3
−6 9
(
−
3
)
⋅
(
−
1
)
=
3
2 −3
−
1
(
−
3
)
+
3
=
0
We have completed the table and have obtained the following resulting coefficients: 2,−3,−1,0
2
,
−
3
,
−
1
,
0
.
All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.
Thus, the quotient is 2x2−3x−1
2
x
2
−
3
x
−
1
, and the remainder is 0
0
.
Therefore, 2x3+3x2−10x−3x+3=2x2−3x−1+0x+3=2x2−3x−1
2
x
3
+
3
x
2
−
10
x
−
3
x
+
3
=
2
x
2
−
3
x
−
1
+
0
x
+
3
=
2
x
2
−
3
x
−
1
Answer: 2x3+3x2−10x−3x+3=2x2−3x−1+0x+3=2x2−3x−1
What is the difference between the sum of the measures of the interior angles in an octagon and the sum of the measures of the interior angles in a
hexagon?
540 degrees
180 degrees
360 degrees
720 degrees
PLS ANSWER IF YOU KNOW!!!
Answers
Interior angle refers to the angle inside a polygon that is formed by two of its adjacent sides. The sum of the measures of the interior angles of a polygon is given by the equation:
180°(n - 2)
where n is the number of sides
An octagon is a polygon that has 8 vertices and 8 sides. The sum of the measures of the interior angles of an octagon is:
180°8 - 2) = 180°6) = 1080°
On the other hand, a hexagon is a polygon that has 6 vertices and 6 sides. The sum of the measures of the interior angles of an octagon is:
180°6 - 2) = 180°4) = 720°
Subtracting the sum of the interior angles of the two polygons,
1080° - 720° = 360°
A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of the probability that the number landing face up will be less than 3?
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3
For three rolls of the die, a number less than 3 will land face up one time.
It will take three rolls of the die before a number less than 3 lands face up for the first time.
Answers
The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).
As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.
Here we have to calculate the probability that the number landing face up will be less than 3.
The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6
(1, 2, 3, 4, 5, 6)
Favorable number of faces of a die = 2
(1, 2)
Since the number landing faces up will be less than 3.
Therefore the probability that the number landing face up will be less than 3
\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)
\(& =\frac{2}{6} \\\)
\(& =\frac{1}{3}\)
Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)
For more questions on probability
https://brainly.com/question/3160577
#SPJ4
The long-run relative frequency of a number less than 3 landing face up is 2/3.
The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.
For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.
For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.
Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ4
One of the same side interrier angles of two paralell lines is 20 degrees less than the other sameside interior angle. Find the measures of the two angles.
Answers
Interior angles on the same side are supplementary, which means they add up to 180°. We can write the equation as follows and refer to the two angles as x° and (x + 20)°.
What are angles?When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.
When two lines meet at a point, an angle is created.
An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.
Angles are a common occurrence in daily life.
Angles are used by engineers and architects to create highways, structures, and sports venues.
According to our question-
x + x + 20 = 180
2x + 20 = 180
2x = 160
If x = 80, the angles are 80° and 80 + 20 = 100°, respectively.
learn more about angles click here:
brainly.com/question/25716982
#SPJ1
over a period of a week the 4 people in group C ran a total pf 27 miles while the 6 people in group D ran a total lf 39 miles. On avarage who ran more miles Group C or Group D.
Answers
Group C ran more miles than Group D
the central value of a set of data is expressed by the average of a list of data. It is defined mathematically as the ratio of the total number of data points to the number of units in the list. In terms of statistics, the term "mean" also refers to the average of a certain set of numerical data. The average of 2, 3, and 4 is, for instance, (2+3+4)/3 = 9/3 = 3. The center value of 2, 3, and 4 in this instance is 3, thus. Finding the mean value of a bunch of numbers is the definition of average.
Average = Total Values / Total Values
Group C = 27/4 = 6.75
Group D = 39 /6 = 6.5
To learn more average, refer to https://brainly.com/question/20118982
#SPJ9
Amanda had five and 6700 pounds of peanuts in her pantry how is this number written in expanded notation
Answers
Answer: 6000+700+00+0
I hope that helps you
Which of the functions is represented by the graph
Answers
Answer:
a
Step-by-step explanation:
just becsue
Evaluate the expression when a=-5 and y=7.
Answers
Step by step explanation:
_______________________________
Step 1:
\( - 4a + y\)
Write the equation
_______________________________
Step 2:
\( = - 4 \times ( - 5) + 7\)
Insert the values of a ie -5 and y ie 7
_______________________________
Step 3:
\( = + 20 + 7\)
Multiply- 4 with -5 to get 20
_______________________________
Step 4:
\( = 27\)
add 20 with 7 to get 27
_______________________________
⚡Final answer: 27
hope it helped you:)
Answer:
27
Step-by-step explanation:
We are given that a = -5 and y = 7 and we are asked to evaluate the expression -4a + y.
To evaluate the expression, we would plug -5 for a and 7 for y into the expression.
-4a + y = -4(-5) + 7 = 20 + 7 = 27
So -4a + y = 27.
I hope you find my answer and explanation to be helpful. Happy studying. :)
Which graph best represents a function with a domain of all real numbers greater than or
equal to 5?
Answers
Answer:
(c)
Step-by-step explanation:
You want the graph that has a domain of x ≥ 5.
DomainThe domain of a function is the set of x-values for which the function is defined. A domain of x ≥ 5 means the function is defined for x-values at least 5. The graph of the function will extend from x=5 indefinitely to the right.
Graph C is like that.
The mean (average) of 4 numbers is 88.
What is the fourth number if three of the numbers are 80, 95, and 85
A 32
B. 54
с. 75
D. 99
E none of these
Answers
Answer:
E non of the above
Step-by-step explanation:
To get the original number you multiply 88 by 4
Then you add 80, 85 and 95 and then minus it from the original number
You should end up with 352 minus 260
Therefore the answer would be 92 and not a given answer so your answer is e: none of the above