When we say that a variable has a chi-square distribution, we mean that the variable is the sum of squared standard normal random variables.
In other words, the chi-square distribution is a probability distribution of the sum of the squares of k independent standard normal random variables, where k is the number of degrees of freedom. The chi-square distribution is a continuous probability distribution that takes on only non-negative values. The shape of the distribution depends on the degrees of freedom, and as the degrees of freedom increase, the distribution becomes more symmetrical and approaches a normal distribution. The chi-square distribution is commonly used in statistical hypothesis testing and in the construction of confidence intervals for population variances.
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There are 8 red cards, 6 blue cards, 7 purple cards, and 4 green cards in a hat.
Part A. What is the theoretical probability of drawing a red card from the hat?
Part B. In a trial, a card is drawn from the hat and then replaced 1,150 times. A red card is drawn 437 times. How much greater is the experimental probability than the theoretical probability?
Oh, wait- I figured it out hehe
Part A: The theoretical probability of drawing a red card is 0.32 or 32%.
Part B: The experimental probability of drawing a red card is 0.38 or 38%, and it is 6% greater than the theoretical probability.
Part A: The theoretical probability of drawing a red card from the hat is the number of red cards divided by the total number of cards in the hat:
\(P_{red}\) = 8 ÷ (8 + 6 + 7 + 4)
= 8 ÷ 25
= 0.32 or 32%.
Part B: The experimental probability of drawing a red card can be calculated by dividing the number of times a red card was drawn by the total number of trials:
\(P_{red}\) = 437 ÷ 1150
= 0.38 or 38%.
The difference between the experimental probability and the theoretical probability can be calculated as follows:
0.38 - 0.32
= 0.06 or 6%
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What is the main function of the female reproductive system ?
The main function of the female reproductive system is to allowing a person to have sexual intercourse, it also helps a person reproduce.
What is the female reproductive system?Both internal and exterior organs make up the female reproductive system. It is in charge of hormone production, menstruation, and sexual activity.
The physical parts that assist women or those who were assigned female at birth (AFAB) are the female reproductive system:
Have a sexual encounter.
Reproduce.
Menstruate.
The female reproductive system serves a number of purposes. It aids in sexual reproduction in addition to enabling sexual activity.
You make eggs using your ovaries. During ovulation, these eggs are subsequently moved to your fallopian tube where sperm fertilisation may take place. The fertilised egg is then transferred to your uterus, where the lining has expanded due to the regular hormones produced during your menstrual cycle (also called your reproductive cycle).
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The reproductive system of a woman performs three primary tasks: releasing eggs that may be fertilized by sperm; (ii) producing female sex hormones including progesterone and oestrogen; and (iii) creating a favorable environment for the development of a fertilized egg during pregnancy.
What is the reproductive system of a woman?The female reproductive system is made up of both internal and external organs. Menstruation, sexual activity, and hormone production are all under its control.
Mention important roles played by women's reproductive part.The female reproductive system is one of the physical components that helps women or people who were given that gender at birth (AFAB):
Engage in sexual activity.
Reproduce.
Menstruate.
There are many uses for the female reproductive system. Along with permitting sexual activity, it also promotes sexual reproduction.
A woman's reproductive system primarily serves to: I release eggs that may be fertilized by sperm; (ii) produce female sex hormones like progesterone and oestrogen; (iii) create an environment for a fertilized egg to develop throughout pregnancy; and (iv) facilitate labor and childbirth.
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Ex
Sharon made a triangle park the scale is 1 meter equals 1unit what is the area in square meter
Answer:
Step-by-step explanation:
1unit is equal to. .?
How did Progressives address the problems caused by industrialization?
Corey is ready to begin the process of producing his final animation. Unfortunately,
his computer does not have the power to render the final scene, so he outsources
the render to a computer that will execute the function. What method allows him to
do this?
(1 point)
O image sequences
Obatch render
O net rendering
O multi-passing
Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network.
Net rendering is a method of rendering a computer-generated animation or image on multiple computers over a network. This technique allows a user to take advantage of the computing power of multiple computers to render a scene. To do this, the user would divide the scene into several parts, assigning each part to a different computer. The computers would then render each part of the scene independently, and then the results are combined into a single image. This process can significantly reduce the time required to render a scene, as the workload is distributed over multiple computers. For example, if it would normally take a single computer 10 minutes to render a scene, net rendering could reduce that time to 2 minutes.
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Evaluate the expression for the given variable values. 3 |m + 2n|² -(mn)² if m = 3 and n = -5-1212794-78
We have the expression:
\(3|m+2n|^2-(mn)^2\)We have to evaluate it for m = 3 and n = -5.
To do that we replace the variables with its values and calculate:
\(\begin{gathered} 3|m+2n|^2-(mn)^2 \\ 3|3+2(-5)|^2-(3\cdot(-5))^2 \\ 3|3-10|^2-(-15)^2 \\ 3|-7|^2-225 \\ 3\cdot7^2-225 \\ 3\cdot49-225 \\ 147-225 \\ -78 \end{gathered}\)Answer: the value of the expression is -78.
Sammy has a number cube (dice). Calculate the following: What are the
odds against rolling an odd number?
Answer:
3/6 or 1/2.........................
Answer:
The probability is
5
6
.
Explanation:
Probability is
d
e
s
i
r
e
d
a
l
l
Let's find the possible outcomes of rolling odd.
1,3,5 are all odd. We have 3 outcomes.
Now find the possible outcome of a power of 2.
2 is
2
1
, 4 is
2
2
. We have 2 DIFFERENT outcomes.
(If these outcomes overlapped, we would have to subtract to get unique outcomes. In this case, these outcomes are different)
Now, we find the total number of possible outcomes.
A dice has 6 different outcomes.
Now add up the desired outcomes,
3
+
2
=
5
and so the probability is
5
6
Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. How many kilograms of fruit is a chef choose the best estimate
Answer: 21 1/8 kilogram
Step-by-step explanation:
From the question, we are informed that Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. The total kilogram of fruits bought would be:
= 3 3/4 + 7 1/4 + 10 1/8
Note that the Lowest Common Multiple is 8.
= 3 6/8 + 7 2/8 + 10 1/8
= 20 9/8
= 21 1/8 kilogram
Find the 12th term of the geometric sequence 10, -50, 250, ...
Explanation:
The starting term is a = 10.
The common ratio r is found by dividing each term by its previous term.
r = (term2)/(term1) = -50/10 = -5r = (term3)/(term2) = 250/(-50) = -5The nth term is therefore \(a_n = a(r)^{n-1} = 10(-5)^{n-1}\)
Plug in n = 12 to get the 12th term:
\(a_n = 10(-5)^{n-1}\\\\a_{12} = 10(-5)^{12-1}\\\\a_{12} = 10(-5)^{11}\\\\a_{12} = 10(-48,828,125)\\\\a_{12} = -488,281,250\\\\\)
Delete the commas if your teacher requires it.
The table shows the number of days required to perform a given number of chores. The number of days varies directly with the number of chores. What is the constant of variation?
Answer:
THE CONSTANT OF VARIATION IS 1/2 or 0.5
Step-by-step explanation:
Here, we want to calculate the variation constant.
From the question, we are told that number of days varies directly as the number of chores
Mathematically, that would be;
y = kx
where k is the constant of proportionality
To get the value of k, we simply divide the value of y at a point by the value of x at that point
Mathematically;
1 = 2k
which is same as
5 = 10k
Thus, the value of k would be 5/10 = 1/2 or 0.5
Answer:
The answer is 1/2 so C
Step-by-step explanation:
in a well-shuffled pack of cards, the odds in favor of picking a diamond card are . what is the probability of drawing this card?
The probability of drawing this card will be 0.25.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1. In this case, 0 denotes the impossibility of the event and 1 represents certainty.
It should be noted that in a pack of card, the number of diamond faced card is 13. Therefore, the probability will be:
Number of diamonds / Total cards
= 13 / 52
= 0.25
The probability is 0.25.
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Thomas and Grace earned a total of $48 shoveling snow. If Thomas earned three times as much as Grace, how much did Thomas earn? Write an equation and solve
Music us enjoy to --- and said aaaa
What is the translation for this graph ! Help pls
Answer:
right 3 up 4
Step-by-step explanation:
Answer:
x+3, y+4
Step-by-step explanation:
At McDonald’s, a cheeseburger has 1/10 pound of meat. A
quarter-pounder has 1/4 pound of meat.
a. How much more meat is used for the quarter-pounder?
Answer:
3/20 of more meat is used for a quarter pounder
Help needed!!!
a) Convert the length and width of the swimming pool from centimetres to metres.
b) You’re thinking of laying bricks around the outside of the pool. Find the perimeter of the swimming pool, in metres.
c) You want to buy a pool cover. By rounding off your answers in a) to the nearest metre, estimate the area of the pool by multiplying the 2 numbers together.
d) Find the exact area of your new pool, in m2.
e) Was your estimate in d) reasonable?
f) Please explain why it was accurate or not
Answer:
Step-by-step explanation:
a) 100cm 1m so, 320/100=3.2m, 1200/100=12m
b) 3.2+3.2+12+12= 6.4+24=30.4
c) 3*12=36m squared
d) 3.2*12= 3*12+0.2*12=36+2.4=38.4m squared
e) My estimate in d) was reasonable
f) This is because 36 and 38.4 are really close to each other they only have a difference of 2.4 and that is because instead of multiplying the estimate with 3 and a 0.2 I just multiplied it with a 3. 0.2*12=2.4 so the difference is reasonable.
2x+1y-5=0
necesito encontra la interseccion de los ejes x e y porfa
Answer:
el origen espero wue ayuda
Step-by-step explanation:
. Find the volume of the solid bounded by the surface z = 1-x² - y² and the xy-plane.
The volume of the solid bounded by the surface z = 1 - x² - y² and the xy-plane is found by integrating the area of each cross-section perpendicular to the xy-plane. The volume is π/2 cubic units.
To find the volume of the solid bounded by the surface z = 1 - x² - y² and the xy-plane, we need to integrate the area of each cross-section perpendicular to the xy-plane.
Each cross-section is a circle with radius r = √(1 - z), centered at the origin. The area of a circle with radius r is A = πr². Therefore, the area of each cross-section is:
A(z) = π(1 - z)
Integrating this area with respect to z from 0 to 1 (since the surface z = 1 - x² - y² is bounded between 0 and 1), we get:
V = ∫₀¹ A(z) dz
= ∫₀¹ π(1 - z) dz
= π[z - (z²/2)] from 0 to 1
= π/2
Therefore, the volume of the solid bounded by the surface z = 1 - x² - y² and the xy-plane is π/2 cubic units.
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What is the relationship between
Answer:
option A
Step-by-step explanation:
the together form a complementary angles.
hope this helps you.
✌️✌️✌️
The sum of the measure of angle ∠AXY and angle ∠YXB is the measure of ∠AXB.
The relationship between ∠AXY and ∠YXB is that they are;
Complementary anglesReasons:
From the diagram in the question, we have;
∠BXC = 90° Given
∠BXC and ∠BXA are linear pair angles
Therefore;
∠BXC and ∠BXA are supplementary angles, which gives;
∠BXC + ∠BXA = 180° definition of supplementary angles
Therefore;
∠BXA = 180° - ∠BXC
∠BXA = 180° - 90° = 90°
∠BXA = 90°
∠AXY + ∠YXB = ∠BXA by angle addition property
Which gives;
∠AXY + ∠YXB = 90° by substitution propertyTherefore ∠AXY and ∠YXB are;
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Linda received a $25.00 gift card for a photo center. She used it to buy prints that cost 25 cents each. The remaining balance, B (in dollars), on the card after
buying x prints is given by the following.
B=25.00-0.25x
What is the remaining balance on the card if Linda bought 30 prints?
Answer:$17.50 remaining
Step-by-step explanation: 0.25 x 30 = 7.50
7.50 - 25.00 = $17.50 remaining
Answer:
$17.5
Step-by-step explanation:
B = 25 -0.25(30)
B = 25 - 7.5
B = 25.0 - 7.5
B = $17.5
Which of these statements concerning the systems development life cycle is true?A) Designing the system is the first step in the SDLC.B) No phase can occur until the previous phase is completed.C) Although each phase is presented discretely, it is never accomplished as a separate step.D) There is widespread agreement that the SDLC is composed of seven phases.
The Systems Development Life Cycle (SDLC) is a process used in the development of software and information systems. It provides a framework for managing the entire software development process, from initial planning and requirements gathering through to implementation, testing, and maintenance. There are typically several phases involved in the SDLC, each with its own unique set of activities. The correct statement is "No phase can occur until the previous phase is completed."
Of the statements provided, the true statement concerning the systems development life cycle is that "No phase can occur until the previous phase is completed." This is because each phase of the SDLC builds on the previous phase, and it is necessary to complete each phase before moving on to the next one.
For example, in the first phase of the SDLC, requirements gathering and analysis, the project team works with stakeholders to identify the project scope, goals, and objectives. Once this phase is completed, the project team can move on to the next phase of the SDLC, which is typically design. In the design phase, the team uses the requirements identified in the previous phase to create a detailed design for the system. Once the design phase is complete, the team can move on to the next phase, which is typically development.
It is important to note that although each phase of the SDLC is presented discretely, they are never accomplished as separate steps. Rather, each phase is a part of a continuous process that is revisited and refined as necessary throughout the development cycle. Furthermore, while there is no consensus on the exact number of phases in the SDLC, there is widespread agreement that the process consists of several distinct phases, each with its own set of activities and deliverables.
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the area of a square is increasing at a rate of 30 centimeters squared per second. find the rate of change of the side of the square when it is 3 centimeters.
The rate of change of the side of the square is 1.5 centimeters per second when the area is 3 square centimeters.
Let's denote the side length of the square as s, and the area of the square as A. Then we know that \(A = s^2\). We are given that \(dA/dt = 30 cm^2/s\), which means that the area of the square is increasing at a rate of \(30 cm^2/s\). We want to find ds/dt, the rate of change of the side of the square.
Using the chain rule, we have:
\(dA/dt = d/dt (s^2) = 2s ds/dt\)
Solving for ds/dt, we get:
\(ds/dt = (1/2s) dA/dt\)
When the area is \(3 cm^2\), the side length is \(s = \sqrt{3} cm\). Plugging in dA/dt = 30 cm^2/s and s = sqrt(3) cm, we get:
\(ds/dt = (1/2(\sqrt{3})) (30) = 1.5 cm/s\)
Therefore, the rate of change of the side of the square is 1.5 cm/s when the area is 3 cm^2.
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the value of y varies directly with X. Which function represents the relationship between X and Y if y equals 15/6 when x equals 20
Answer:
y = (1/8)x
Step-by-step explanation:
The relevant basic formula is y = kx, where k is the constant of proportionality.
We must find k. To do this, let y = 15/6 and x = 20 in the above formula:
15/6 = k(20)
We solve for k by dividing both sides by 20: 15/(6*20) = k = 1/8
Then the specific formula for this situation is y = (1/8)x
factor 144abc−108ab . if the expression cannot be factored, write cannot be factored.
The factored form of the expression 144abc - 108ab is 36ab(4c - 3).
To factor the expression 144abc - 108ab, we can first identify the common factors of the terms.
In this case, we can see that both terms have a common factor of 36ab:
144abc - 108ab = 36ab(4c - 3)
So, the expression can be factored as 36ab(4c - 3).
This means that the expression is not prime and can be simplified further by factoring out the common factor.
By factoring out the common factor of 36ab, we obtain the simplified form of the expression as 36ab times the binomial (4c - 3).
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Currently, airlines charge extra fees for having baggage that is overweight (50)pounds. Mr. Yeehaw is returning home to Germany after a trip to America and is hoping that he will be able to bring his entire NASCAR racing models in his suitcase. Mr.Yeehaw weighs 182.5 pounds. When he grabs the suitcase and steps on the scale, it reads 223.7 pounds. How much does the suitcase weigh?
Answer:
41.2 poundsStep-by-step explanation:
The weight of the suitcase is the difference of the two measures:
223.7 - 182.5 = 41.2 poundsSince its less than 50 pounds no extra fees will be charges.
Weight of suitcase
After-before223.7-182.541.2lbsNo extra charge
In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
150 degrees
Step-by-step explanation:
You can figure this out by looking at the degrees below d, and you see it is thirty, and that it is equal to the degree above the x, so then you subtract 30 from 180 to get 150. Hopefully that makes sence, I forgot what some of the terms are called.
The main cable of a suspension bridge forms a parabola described by the equation y = a(x - 50)2 + 6. What is the value of a?
Answer:
Which quadratic equation models the main cable of the bridge correctly?
y = 0.048x2 – 2494
y = 0.048x2 – 6
y = 0.0048(x – 50)2 + 6 (This is correct)
y = 0.0048(x – 6)2 + 50
The value of a is 0.0048.
Given that,
The main cable of a suspension bridge forms a parabola described by the equation,
\(\rm y = a(x-50)^2+6\)
We have to find,
The value of a.
According to the question,
The given relationship between the variables x and y is,
\(\rm y = a(x-50)^2+6\)
In the given graph the points of the parabola are (30, 7.92), (50, 6), and (70, 7.92)
1. The value of an at the point (30, 7.92) is,
\(\rm y = a(x-50)^2+6\\\\7.92 = a (30-50)^2 +6\\\\7.92 = a(-20)^2 + 6\\\\7.92 = 400a +6\\\\7.92 -6 = 400a\\\\1.92 = 400a\\\\a = \dfrac{1.92}{400}\\\\a = 0.0048\)
2. The value of an at the point (70, 7.92) is,
\(\rm y = a(x-50)^2+6\\\\7.92 = a (70-50)^2 +6\\\\7.92 = a(20)^2 + 6\\\\7.92 = 400a +6\\\\7.92 -6 = 400a\\\\1.92 = 400a\\\\a = \dfrac{1.92}{400}\\\\a = 0.0048\)
3. The value of an at the point (50, 6) is an infinite solution the value of a is not defined at the points.
Hence, The value of a is 0.0048.
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What do you notice about the measures of anges the are side by side?
they add up to 180 degrees
Please help i don't understand
Step-by-step explanation:
what I don't understand is why the distance around the window has to be written twice.
but let's start with the circumference of the complete circle :
2×pi×r = 2×22/7 × 3.5
or as the boxes are lined
22/7 × 2 × 3.5 = 22/7 × 7 = 22 ft
the circumference of half the circle is then about
22/2 = 11 ft
the distance around the window is then
11 + 3.5×2 = 11 + 7 = 18 ft
Consider the figure shown below (not drawn to scale). Both of the triangles are RIGHT triangles. y X(0,13) Y(0,7) Z(0,3) (0,0) J The length of vertical segment XY is: W(3,13) P 0 T(9,9) S(9,3) -X
Both of the triangles are RIGHT triangles. y X(0,13) Y(0,7) Z(0,3) (0,0) J. the length of vertical segment XY is 6.
What is a vertical segment?Generally, A part of a line that is totally vertical is referred to as a vertical line segment. This means that the two vertices that make up the segment's ends have the same x- and y-coordinates but different z-coordinates than one another.
The length of vertical segment XY can be found by subtracting the y-coordinate of point X from the y-coordinate of point Y.
In this case, the y-coordinate of point X is 13 and the y-coordinate of point Y is 7, so the length of vertical segment XY is
13 - 7 = 6.
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Complete Question not found
Image not found
MATH HOMEWORK HELP PLEASE
Answer:
A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
\(r=\frac{\frac{4}{25} }{\frac{2}{5} } \\r=\frac{4}{25} \times \frac{5}{2} =\frac{2}{5} <1\\s_{\infty}=\frac{a}{1-r} =\frac{\frac{2}{5} }{1-\frac{2}{5} } =\frac{2}{5} \times \frac{5}{3} =\frac{2}{3}\)