A _ is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable. random variable binomial experiment probability distribution binomial probability distribution
A probability distribution is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable.
A probability distribution is a mathematical function that assigns probabilities to all possible outcomes of a random variable. It describes the likelihood of each possible value or range of values occurring.
For a discrete random variable, which takes on distinct values, the probability distribution assigns probabilities to each possible value. It specifies the probability of observing each value of the random variable.
For a continuous random variable, which takes on a range of values, the probability distribution assigns probabilities to intervals or ranges of values. Since there are infinitely many possible values within a range, the probability of observing a specific value is usually zero. Instead, the probability distribution provides probabilities for intervals of values, indicating the likelihood of the random variable falling within those intervals.
To know more about probability distribution,
https://brainly.com/question/28265446
#SPJ11
the perimeter of a rectangle is 84 inches. the length is 18 inches longer than the width. find the length of the rectangle.
Let's start by using the formula for the perimeter of a rectangle:
Perimeter = 2(length + width)
We know that the perimeter is 84 inches, so we can plug that in and simplify:
84 = 2(length + width)
42 = length + width
We also know that the length is 18 inches longer than the width, so we can use that information to write:
length = width + 18
Now we can substitute this into the equation we just derived:
42 = (width + 18) + width
42 = 2width + 18
24 = 2width
width = 12
So the width of the rectangle is 12 inches. We can use this to find the length:
length = width + 18
length = 12 + 18
length = 30
Therefore, the length of the rectangle is 30 inches.
Learn more about perimeter of a rectangle here: brainly.com/question/29595517
#SPJ11
Please answer and show work if possible
Answer:
it 180 degrees
Step-by-step explanation:
The formula is -900° × π/180 = -15.71rad
dentify the relationship between angles x and y
the x & y angles are alternate angles.
What is alternate angles?The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.
Here, we have,
from the given figure , we get,
the x & y angles are alternate angles.
to learn more on alternate angle click:
https://brainly.com/question/7197938
#SPJ1
In a geometric system, which would best describe how postulates differ from
theorems?
F.
Postulates do not require a proof and are presumed true, while theorems are
statements requiring proof.
Postulates are statements that require proof, while theorems cannot be proven.
Both postulates and theorems do not require proof and are assumed to be true.
There is no difference between postulates and theorems.
H.
Answer:
Postulates are statements that require proof, while theorems cannot be proven.Step-by-step explanation:
In a Geometric System, describe how postulates differ from theorems. Postulates are statements that require proof, while theorems cannot be proven.
concerning confidence intervals, which of the following statements is true? select one: as the confidence level increases, the width of the confidence interval increases. all of these statements are true. as the sample size increases, the width of the confidence interval increases. none of these statements is true
The statement "as the confidence level increases, the width of the confidence interval increases" is true. When constructing a confidence interval, the confidence level represents the level of certainty or reliability we have in our estimate. A higher confidence level requires a wider interval to capture a larger range of possible values.
To understand this, imagine constructing a 90% confidence interval and a 95% confidence interval for the same population parameter. The 95% confidence interval needs to provide a higher level of confidence, so it will be wider than the 90% interval to accommodate a larger range of values. However, the other statements are not true. Increasing the sample size actually leads to a narrower confidence interval. As the sample size increases, the estimate becomes more precise, resulting in a smaller margin of error and a narrower interval. Therefore, the statement "as the sample size increases, the width of the confidence interval increases" is false.
Learn more about confidence level here: brainly.com/question/14397370
#SPJ11
100 points & brainliest!
Answer:
=D2/E2
Step-by-step explanation:
If you were developing an Excel spreadsheet that finds the unit price of any object, where:
Cell E2 contains the number of units
Cell D2 contains the price of the object
Cell C2 contains the unit price
Then, you will have to create the following formula on cell C2 to find the unit price of the object:
=D2/E2You will have to enter this formula in Cell C2 (exactly as is) to get the proper calculations for the unit price. Attached is a screenshot of how it will appear on an Excel spreadsheet once you enter the given formula in Cell C2.
Answer:
D2/E2
Step-by-step explanation:
I had this exact question when i was at school…i know it says high school still i don’t know how to change that lol but i wonder i wonder if we went to the same school
What is the equation of this trend line? Please help ASAP!
Answer:8+2x
Step-by-step explanation:
if f = q (v x b) and v is perpendicular to b then which is the direction of b
If f = q (v x b) and v is perpendicular to b, then the direction of b will be perpendicular to both f and v.
The cross product, also known as the vector product, is a mathematical operation performed between two vectors in three-dimensional space. The result of the cross product is another vector that is perpendicular to both original vectors.
If we have the cross product (v x b) v is perpendicular to b, then the direction of b will be perpendicular to both f and v. This is because the cross product of two vectors, v x b, will result in a vector that is perpendicular to both of the original vectors. Therefore, the direction of b will be in a direction that is perpendicular to both f and v.
See more about cross product at https://brainly.com/question/14542172.
#SPJ11
Evaluate the function when x = -2, 0, 1/2
F(x)=1.5(2)^x
G(x)=-3(1/4)^x
Answer:
Step-by-step explanation:
x = -2
F(x)=1.5(2)^x=0.375 , G(x)=-3(1/4)^x=-48
x=0
F(x)=1.5(2)^x=3, G(x)=-3(1/4)^x=-3
x=1/2
F(x)=1.5(2)^x=1.06 , G(x)=-3(1/4)^x=-6
a zoo has 15 toucans and 60 parrtos
Answer:
It has 75 birds
Step-by-step explanation:
Hope that's the answer since I can't get the question
ASAP
Factor Completely
-3x^2+6x+9=
Answer:
3(−x−1)(x−3)
Step-by-step explanation:
Gobblecakes is a bakery that specializes in cupcakes. The annual fixed cost to make cupcakes is $18,000. The variable cost including ingredients and labor to make a cupcake is $0.90. The bakery sells cupcakes for $3.20 apiece. a. If the bakery sells 12,000 cupcakes annually, determine the total cost, total revenue, and profit. b. How many cupcakes will the bakery need to sell in order to break even? 5. Graphically illustrate the break-even volume for the Gobblecakes bakery determined in Problem 2. 8. If the maximum operating capacity of the Gobblecakes bakery described in Problem 2 is 12,000 cupcakes annually, determine the break-even volume as a percentage of that capacity. 11. If the Gobblecakes bakery in Problem 2 changes the selling price for a cupcake from $3.20 to $2.75, what effect will the change have on the break-even volume?
Given,
F= Fixed Cost = $18,000
V= Variable Cost per unit = $0.90
P= Price per unit = $3.20
a) Q= Quantity = 12,000 cupcakes annually
Total Cost (TC) formula is:TC = F + V x Q = 18,000 + 0.90 × 12,000 = $29,400
Total Revenue (TR) formula is:TR = P × Q = 3.20 × 12,000 = $38,400
Profit formula is:Profit = TR − TC = 38,400 − 29,400 = $9,000.
b) The bakery will need to sell 6,924 cupcakes in order to break even.
The formula for the Break-even point (BEP) is BEP = F / (P - V) = 18,000 / (3.20 - 0.90) = 6,923.08 ≈ 6,924 cupcakes
5. The graphical representation of the Break-even volume for the Gobblecakes bakery is shown below:
8. Break-even volume as a percentage of maximum operating capacity will be = 58%
Break-even volume as a percentage = (Break-even volume / Maximum operating capacity) x 100%
= (6,923.08 / 12,000) x 100% = 57.69% ≈ 58%
11. The new Break-even point (BEP) will increase from 6,924 cupcakes to 8,750 cupcakes.
When the selling price for a cupcake changes from $3.20 to $2.75, the new Break-even point (BEP) will be:
BEP = F / (P - V) = 18,000 / (2.75 - 0.90) = 8,750 cupcakes
Learn more about cost, revenue, and Break-even: https://brainly.com/question/9212451
#SPJ11
A line passes through (–2, –3) and has a slope of
−
3
4
. Which is an equation of the line?
Answer:
y = 3x + 3
Step-by-step explanation:
Given parameters;
Coordinates of the line;
(-2, -3)
Slope of the line = 3
Unknown:
Equation of the line = ?
Solution:
The equation of any straight line is often expressed as;
y = mx + c
y and x are the coordinates
c is the intercept
Now insert values of y, x and m to find c;
-3 = 3(-2) + c
-3 = -6 + c
c = -3 + 6 = 3
The equation of the line is;
y = 3x + 3
PLEASE URGENTLY HELP!!!!!!!!!!!
LOOK AT SCREENSHOT!!!
What is the value of x in degrees?
Please show work if you can!
Answer: 72
Step-by-step explanation:
Q is same as M = 72
N=36
L=x
All 3 angles of a triangle add to 180
72+36+x=180
x=72
easy prob pls help i need
The dimensions of the rectangular poster are 9 inches by 22 inches.
Let's assume the width of the rectangular poster is x inches.
According to the given information, the length of the poster is 4 more inches than two times its width. So, the length can be expressed as 2x + 4 inches.
The formula for the area of a rectangle is length × width. In this case, the area is given as 198 square inches.
Therefore, we have the equation:
(2x + 4) × x = 198
Expanding the equation:
\(2x^2 + 4x = 198\)
Rearranging the equation to standard quadratic form:
\(2x^2 + 4x - 198 = 0\)
To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:
x = (-b ± √\((b^2 - 4ac\))) / (2a)
Plugging in the values:
x = (-4 ± √\((4^2 - 4(2)(-198)))\) / (2(2))
x = (-4 ± √(16 + 1584)) / 4
x = (-4 ± √1600) / 4
x = (-4 ± 40) / 4
Simplifying:
x = (-4 + 40) / 4 = 9
x = (-4 - 40) / 4 = -11
Since we are dealing with dimensions, the width cannot be negative. Therefore, the width of the poster is 9 inches.
Substituting the value of x back into the length equation:
Length = 2x + 4 = 2(9) + 4 = 18 + 4 = 22 inches
For more such questions on rectangular visit:
https://brainly.com/question/2607596
#SPJ8
use stokes’ theorem to evaluate rr s curlf~ · ds~. (a) f~ (x, y, z) = h2y cos z, ex sin z, xey i and s is the hemisphere x 2 y 2 z 2 = 9, z ≥ 0, oriented upward.
We can use Stokes' theorem to evaluate the line integral of the curl of a vector field F around a closed curve C, by integrating the dot product of the curl of F and the unit normal vector to the surface S that is bounded by the curve C.
Mathematically, this can be written as:
∫∫(curl F) · dS = ∫C F · dr
where dS is the differential surface element of S, and dr is the differential vector element of C.
In this problem, we are given the vector field F = (2y cos z, ex sin z, xey), and we need to evaluate the line integral of the curl of F around the hemisphere x^2 + y^2 + z^2 = 9, z ≥ 0, oriented upward.
First, we need to find the curl of F:
curl F = (∂Q/∂y - ∂P/∂z, ∂R/∂z - ∂Q/∂x, ∂P/∂x - ∂R/∂y)
where P = 2y cos z, Q = ex sin z, and R = xey. Taking partial derivatives with respect to x, y, and z, we get:
∂P/∂x = 0
∂Q/∂x = 0
∂R/∂x = ey
∂P/∂y = 2 cos z
∂Q/∂y = 0
∂R/∂y = x e^y
∂P/∂z = -2y sin z
∂Q/∂z = ex cos z
∂R/∂z = 0
Substituting these partial derivatives into the curl formula, we get:
curl F = (x e^y, 2 cos z, 2y sin z - ex cos z)
Next, we need to find the unit normal vector to the surface S that is bounded by the hemisphere x^2 + y^2 + z^2 = 9, z ≥ 0, oriented upward. Since S is a closed surface, its boundary curve C is the circle x^2 + y^2 = 9, z = 0, oriented counterclockwise when viewed from above. Therefore, the unit normal vector to S is:
n = (0, 0, 1)
Now we can apply Stokes' theorem:
∫∫(curl F) · dS = ∫C F · dr
The left-hand side is the surface integral of the curl of F over S. Since S is the hemisphere x^2 + y^2 + z^2 = 9, z ≥ 0, we can use spherical coordinates to parameterize S as:
x = 3 sin θ cos φ
y = 3 sin θ sin φ
z = 3 cos θ
0 ≤ θ ≤ π/2
0 ≤ φ ≤ 2π
The differential surface element dS is then:
dS = (∂x/∂θ x ∂x/∂φ, ∂y/∂θ x ∂y/∂φ, ∂z/∂θ x ∂z/∂φ) dθ dφ
= (9 sin θ cos φ, 9 sin θ sin φ, 9 cos θ) dθ dφ
Substituting the parameterization and the differential surface element into the surface integral, we get:
∫∫(curl F) · dS = ∫C F ·
To learn more about Stokes' theorem visit:
brainly.com/question/29751072
#SPJ11
Which of the following best describes the figure with vertices (-8, 2), (4, 14), (16, 2) and(4, -10)? thank
Given:
Vertices (-8, 2), (4, 14), (16, 2) and (4, -10).
Required:
To find the figure that is made by the vertices.
Explanation:
Let A (-8, 2), B(4, 14), C(16, 2) and D(4, -10).
Then find the length of each side by using the distance formula.
\(\begin{gathered} AB=\sqrt{(4+8)^2+(14-2)^2} \\ AB=\sqrt{(12)^2+(12)^2} \\ AB=\sqrt{144+144} \\ AB=12\sqrt{2} \end{gathered}\)\(\begin{gathered} BC=\sqrt{(16-4)^2+(2-14)^2} \\ BC=\sqrt{(12)^2+(-12)^2} \\ BC=\sqrt{144+144} \\ BC=12\sqrt{2} \end{gathered}\)\(\begin{gathered} CD=\sqrt{(4-16)^2+(-10-2)^2} \\ CD=\sqrt{(-12)^2+(-12)^2}^ \\ CD=\sqrt{144+144} \\ CD=12\sqrt{2} \end{gathered}\)\(\begin{gathered} AD=\sqrt{(4+8)^2+(-10-2)^2} \\ AD=\sqrt{(12)^2+(-12)^2} \\ AD=\sqrt{144+144} \\ AD=12\sqrt{2} \end{gathered}\)All sides are equal.
AB =BC = CD = AD
We know that the figure in which all sides are equal is called a square.
Final Answer:
Option 2 is the correct answer.
What is the square root of -1?
parallelogram calc: find p, b=n/a, a=n/a
Therefore, the perimeter can be calculated by adding up all four sides: p = 2b + 2n.
To find the perimeter (p) of a parallelogram, you need to know the length of all four sides. However, in this case, you are given the ratio of the base (b) to one of the sides (a), which is n/a.
Since a parallelogram has two pairs of parallel sides, the opposite sides are equal in length. Therefore, if the base is b, then the opposite side is also b. Using the given ratio, you can find the length of the other side (n) by multiplying a by n/a, which is n.
So, the length of the other side is also n, and the perimeter can be calculated by adding up all four sides: p = 2b + 2n.
However, if given the ratio of the base to one of the sides, you can use this to find the length of the other side. For this problem, if the base is b, then the opposite side is also b, and the length of the other side is n (where n/a = b/a).
Therefore, the perimeter can be calculated by adding up all four sides: p = 2b + 2n.
To know more about multiplication visit:
https://brainly.com/question/1135170
#SPJ11
22 The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83? a. 98 b. 39 c. 6
d. 148 e.49
The approximate number of students with Scores between 68 and 83 is 98.Answer: a. 98
The five-number summary for scores on a statistics exam is: 35, 68, 77, 83 and 97. In all, 196 students took this exam About how many students had scores between 68 and 83?
The five-number summary consists of the minimum value, the first quartile, the median, the third quartile, and the maximum value.
The interquartile range is the difference between the third and first quartiles. Interquartile range (IQR) = Q3 – Q1, where Q3 is the third quartile and Q1 is the first quartile. The 5-number summary for scores on a statistics exam is given below:
Minimum value = 35
First quartile Q1 = 68
Median = 77
Third quartile Q3 = 83
Maximum value = 97
The interval 68–83 is the range between Q1 and Q3.
Thus, it is the interquartile range.
The interquartile range is calculated as follows:IQR = Q3 – Q1 = 83 – 68 = 15
The interquartile range of the scores between 68 and 83 is 15. Therefore, the number of students with scores between 68 and 83 is roughly half of the total number of students. 196/2 = 98.
Thus, the approximate number of students with scores between 68 and 83 is 98.Answer: a. 98
For more questions on Scores .
https://brainly.com/question/32698527
#SPJ8
Evaluate 2a - b for a=2 and b=3
After evaluating the expression when a=2 and b=3, the value of 2a - b
is 1.
The evaluating expressions like 2a - b is a fundamental skill in algebra and mathematics, and can help us make sense of numerical relationships and patterns in the world around us.
To evaluate 2a - b for a=2 and b=3, we simply substitute the values of a and b in the expression and simplify:
2a - b = 2(2) - 3 = 4 - 3 = 1.
Therefore, when a=2 and b=3, the value of 2a - b is 1.
In general, the expression 2a - b represents the difference between two times the value of a and the value of b. This expression can be useful in a variety of contexts, such as in mathematical equations and in business or finance calculations.
In the given scenario, we can interpret the result as follows: if we have two units of something (represented by the variable a), and we subtract one unit of something else (represented by the variable b), we are left with only one unit.
For such more questions on expression:
https://brainly.com/question/1859113
#SPJ11
Express 2.099×104 in normal notation
The number 2.099×\(10^4\) can be expressed in normal notation as 20,990.
To express the number 2.099×\(10^4\) in normal notation, we need to move the decimal point to the right by the exponent value of 10^4, which is 4. By doing so, we obtain the value of 20,990.
Here's the step-by-step calculation:
Start with the given number: 2.099×\(10^4\).
To move the decimal point to the right, we increase the value by a factor of 10 for each position we move.
Since the exponent is 4, we move the decimal point four positions to the right.
After moving the decimal point, we have the value 20,990.
Thus, the number 2.099×\(10^4\) is expressed in normal notation as 20,990.
Learn more about factor here:
https://brainly.com/question/14549998
#SPJ11
An expression is given. 26 , 091 ÷ 13 26,091÷13 What is the value of the expression?
1967.64 is the value of the given expression.
We must carry out the division operation in the following manner in order to assess the expression:
26,091 ÷ 13.26
= 1967.64
As a result, the expression has a value of 1967.64.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ1
what are the types of roots of the equation below? x4 - 81=0 Four Real Four complex Two complex and two real
Answer:
x=3, x=-3 or x=3i, x=-3i
two real and two complex
Step-by-step explanation:
x^2=9 or x^2=-9
x=3, x=-3 or x=3i, x=-3i
35 POINTS
Find the range of this quadratic function
Answer:
The range of this quadratic function is
-infinity < y ≤ 2.
what happens to the mean for a trait in a population during directional selection what is being selected for?
When a population is subjected to directional selection over time, the traits that are selected for will remain stable while the traits that are selected against will disappear.
Evolution is the study of how populations change over time. Most traits have multiple genes controlling their structure, function, appearance, and other characteristics. Single genes only very infrequently control a trait.
As a result, most traits have a tendency to be continuous in nature and to have a wide range of values. One side of these values will be picked against during directional selection, while the other side will be selected in favor of. Look at the illustration of a lemur's fur color below.
To learn more about population here:
https://brainly.com/question/24786731
#SPJ4
What is the solution to this equation?
2(5x + 8) = 6x + 20
O A. x= -9
O B. x= 9
O C. x = 1
O D. x= -1
SUBM
Answer:
x=1
Step-by-step explanation:
2(5x + 8) = 6x + 20
Divide each side by 2
2/2(5x + 8) = 6x/2 + 20/2
5x+8 = 3x+10
Subtract 3x from each side
5x-3x +8 = 3x-3x+10
2x+8 = 10
Subtract 8 from each side
2x+8-8=10-8
2x=2
Divide by 2
2x/2 = 2/2
x=1
pls help will give brainlist
Answer:
6 lb 12 oz is the answer
Step-by-step explanation:
Just did the subtraction
Landon analyzed data and found that the correlation coefficient for their line of best fit was -0.85. Marco analyzed a different set of data and found a correlation coefficient of 0.85. Marco states that since 0.85 is greater than -0.85, his data points have a better line of best fit than Landon. Is Marco correct? Why, or why not?
Marco's data points have a better line of best fit based on a comparison of Correlation coefficients.
Marco is incorrect in stating that his data points have a better line of best fit than Landon based solely on the comparison of correlation coefficients. The magnitude of the correlation coefficient alone does not determine the quality or strength of the line of best fit.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1. A positive correlation coefficient (such as 0.85) indicates a positive linear relationship, while a negative correlation coefficient (such as -0.85) indicates a negative linear relationship. The closer the correlation coefficient is to -1 or +1, the stronger the relationship. A correlation coefficient of 0 indicates no linear relationship.
In the case of Landon and Marco, both correlation coefficients have the same absolute value of 0.85, suggesting a strong linear relationship. However, the negative sign for Landon's correlation coefficient indicates a negative linear relationship, while the positive sign for Marco's correlation coefficient indicates a positive linear relationship.
The comparison between -0.85 and 0.85 should not be made in terms of greater or lesser quality of the line of best fit. The choice of a positive or negative correlation depends on the context and nature of the variables being analyzed.
The appropriateness of the line of best fit and the goodness-of-fit of the model should be evaluated based on additional factors such as the data points' distribution around the line, residuals, and the overall context of the analysis. These aspects provide more comprehensive insights into the quality of the fit and the reliability of the relationship being represented.
Therefore, Marco's data points have a better line of best fit solely based on a comparison of correlation coefficients. The interpretation of the correlation coefficient requires considering the nature of the variables and other factors influencing the analysis.
To know more about Correlation coefficients.
https://brainly.com/question/30634313
#SPJ11