Each trial isn't being classified as a success or failure, so X is not a binomial variable
What is a binomial variable?The probability of success raised to the power of the number of successes is multiplied by the probability of failure raised to the power of the difference between the number of successes and the number of trials.
In a binomial distribution, the probability of success must remain constant for the trials under consideration. When tossing a coin, for example, the probability of flipping a coin is 0.5 for each trial because there are only two possible outcomes
Since their results are independent, and lX represent the average number of pets in the sample, X is not a binomial variable
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Complete question
Mia takes a random sample of 10 of her coworkers and asks them each how many pets they have. Assume that their results are independent, and let X represent the average number of pets in the sample.
Is X a binomial variable? Why or why not?
A computer company invested a total of $242 million in research and development in its scanners and video digitizers. If the amount the company spent on research and development on scanners was $95 million more than was spent on research and development on its video digitizers, how much in fact did the company spend on research and development on its scanners?
Answer:
$168,500,000
Step-by-step explanation:
Given that :
Total amount spent on both scanner and video digitizer research and development = $242,000,000
Let :
amount spent on scanner = x
Amount spent on video digitizer = y
Total amount spent, c = x + y
x = y + 95,000,000
Hence,
242000000 = y + 95,000,000 + y
242000000 - 95000000 = 2y
147,000,000 = 2y
y = $73,500,000
Hence, amount spent on scanners :
$73,500,000 + $95,000,000
= $168,500,000
Why is log always base 10?
The required explanation for log of base 10 is described.
What is logarithmic function?The ability of logarithms to solve exponential problems is a large part of their strength. Examples of this include sound (measured in decibels), earthquakes (measured on the Richter scale), starlight brightness, and chemistry (pH balance, a measure of acidity and alkalinity).
According to question:The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
The logarithm can be rewritten using the general rule. The common logarithm, which has a base of 10 always, is what you're dealing with when the log has no base.
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pls help
Given the first term and the common difference of an arithmetic sequence, find the
explicit formula, then find the term named in the problem.
Answer:
Step-by-step explanation:
an (the nth term ) = a1 + d(n - 1)
= 6 + 3(n - 1).
a17 = 6 + 3(17-1)
= 6 + 48
= 54.
A particle, initially 15 m from the origin and travelling at -2 ms), accelerates at a constant rate and ends up -20 m from the origin and travelling at -5 ms?
What is its acceleration?
the general equation for velocity in terms of acceleration and displacement is: v² = v₀² + 2ax.
Solve for a: a = (v² - v₀²)/(2x).
You are given v₀ and v, and x is easy to calculate since you are given its initial and final values. The rest is just arithmetic.
(note also: SI expressions have a required space between the coefficient and the unit symbol. Thus you should have things such as “15 m” and “-2 m·sˉ¹” instead of “15m” and “-2m·sˉ¹”.)
(a) If log4x=5, then x= (b) If log6x=8, then x=
(a)If log₄x = 5, the base is 4 and the logarithm is 5 , then x = 1024. (b) If log₆x = 8 the base is 6 and the logarithm is 8 then x = 1679616.
(a) In the equation log₄x = 5, the base is 4 and the logarithm is 5. To solve for x, we need to rewrite the equation in exponential form. In exponential form, 4 raised to the power of 5 is equal to x. Therefore, x = 4^5 = 1024.
(b) In the equation log₆x = 8, the base is 6 and the logarithm is 8. Rewriting the equation in exponential form, 6 raised to the power of 8 is equal to x. Hence, x = 6^8 = 1679616.
In both cases, we used the property of logarithms that states: if logₐx = y, then a raised to the power of y equals x. By applying this property, we can convert the logarithmic equations into exponential form and find the values of x.
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What happens to the graph of the line y = mx + b if the value of b is decreased?
The line becomes steeper.
The line becomes less steep.
The line moves higher.
The line moves lower.
Answer:
The lines moves lower.
Step-by-step explanation:
The steepness of a line is related to the slope, m.
b is the y-intercept, not the slope.
b is where the line intersects the y-axis.
Changing b changes the vertical position of the line.
Answer: The lines moves lower.
Answer:
a intersection with the y-axis.
Step-by-step explanation:
just took edge 2022
The tempeture of chicken soup is 192.7 degrees F. As it cools the tempeture of the soup decreases 2.3F per minute.
PART A: What is y=the tempeture of the soup ater 25 minutes?
PART B: How many minutes will it take for the soup to cool to 100.7F
Answer:
Step-by-step explanation:
To find the answer to Part A, we can turn this into a simple equation:
192.7 - (2.3 times 25) = temperature, the missing value.
So therefore, after 25 minutes pass, the temperature is equal to
192.7 - 57.5, or:
135.2 = Answer to Part A.
Now, onto Part B. We can use another equation!
192.7 - 2.3x = 100.7
Now, we must solve the given equation, first by taking 100.7 from each side:
192.7 - 2.3x = 100.7
-100.7 -100.7
We are now left with: 92 - 2.3x = 0 - we must now add 2.3x to 2.3x and 0, giving us this:
92 = 2.3x, which is equivalent to 920 = 23x, if that is what you prefer to solve.
To give us our missing value (x), we can divide 920 by 23, giving us: x = 40. This is the answer to Part B: 40 minutes.
I hope this was really helpful! Tell me if you need any more help.
Find h(7) - 3 if h(x) = 5x^2 + 11
Answer:
\(h(7) - 3 = \: 5 {(7)}^{2} + 11 - 3 \\ = 5(49) + 8\)
answer: the answer is 253
The probability of winning a certain game is 0. 5. If at least 70 percent of the games in a series of n games are won, the player wins a prize. If the possible choices for n are n=10, n=20, and n=100, which value of n should the player choose in order to maximize the probability of winning a prize?.
0.117 Or 11.7% chance of n should the player choose in order to maximize the probability of winning a prize.
What is the binomial theorem on probability?The probability of precisely x successes on n further trials in an experiment with two potential outcomes is referred to as the binomial probability (commonly called a binomial experiment).
When a procedure is performed a certain number of times (for example, in a group of patients), the result for each patient can either be a success or a failure, the binomial distribution model enables us to calculate the probability of witnessing a defined number of "successes."
The probability of winning a prize remains the same for. n = 10 or n=20 or n = 100; the probabilities are the same.
Given that,
p = 0.5, So, q = 1 - 0.5 = 0.5.
If 70% of 'n' games are won then 30% of n games must be lost.
Let n = 10.
Therefore, P ( x = 3) = \(^{10}C_3p^7q^3\)
or, P ( x = 3) = \(^{10}C_3(0.5)^7(0.5)^3\)
or, P (x = 3) = 120×0.0078×0.125.
or, P (x = 3) = 0.117 Or 11.7% chance.
Now, Changing the value won't have any effect as all the 'n's are multiple of 10 and we'll have same probability.
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Which of the following set of hypotheses is used to test if the mean of the first population is smaller than the mean of the second population, using matched-paired sampling?
H0: µ1 – µ2 ≤ 0, HA: µ1 – µ2 > 0
H0: µ1 – µ2 ≥ 0, HA: µ1 – µ2 < 0
H0: µD ≤ 0, HA: µD > 0
H0: µD ≥ 0,HA: µD < 0
The correct option H0: µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.
Explain the term matched-paired sampling?Paired testing, commonly referred to as auditing, is a practical and easy technique to determine whether and how discrimination is present.
In a paired exam, two individuals are given fictional identities and credentials that are equivalent in all significant ways.Each member of such a sample is paired with a matching member in every sample by comparison to characteristics other than those that are now the subject of the research. This results in a pair or set of matched samples.By "removing" the potential impacts of other variables, matching aims to produce better estimates of differences.The participants in matched samples (also known as matched pairs, paired samples, or dependent samples) were paired up so that they share all characteristics except the one that is being studied.Thus, µD ≥ 0,HA: µD < 0, is used to determine whether the first population's mean is lower than the second population's mean, a set of hypotheses.
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Find the following for each function
f(x)=-2x^2+x-1
a.f(0)
b.f(1)
c. f(-1)
d. f(-x)
e.-f(x)
f. f(x+1)
g. f(2x)
h.f(x+h)
HELP PLEASE
Answer:
un
Step-by-step explanation:
can somebody please tell me how we can answer this
The final velocity and displacement after 5 seconds are 19.3m/s and 59m and the acceleration is 0.7m/s²
What are Equations of MotionThe equations of motion are a set of mathematical equations that describe the motion of an object in terms of its position, velocity, and acceleration. These equations are used in physics, engineering, and other fields to predict and analyze the motion of objects.
The equations are;
v = u + at ...eq(i)
v² = u² + 2as ...eq(ii)
s = ut + 1/2 at² ...eq(iii)
2.
From the first equation of motion;
v = u + at
v = 4.3 + 3(5)
v = 19.3m/s
The displacement after 5 minutes will be
From third equation of motion;
s = ut + 1/2 at²
s = 4.3 * (5) + 1/2(3)(5)²
s = 59m
1)
distance = 1.0 * 10²m
time = 12.11s
acceleration = ?
Acceleration = velocity / time
velocity = distance / time
velocity = 1.0×10² / 12.11
velocity = 8.23m/s
acceleration = velocity / time
acceleration = 8.23 / 12.11
acceleration = 0.7 m/s²
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Intuitively, a larger sample should lead to a smaller confidence interval (fixing the level of confidence). Which of the following most accurately gives a reason for this in the mathematics we use to make the confidence interval? And the t'-value associated to the t-distribution goes down because t_n have "smaller tails" as n gets large. (And other aspects remain the same.)r The standard error goes down because of the greater sample size in the denominator. (And other aspects remain the same.) The standard error goes down because the standard deviation of the sample will go down. And the t*-value associated to the t-distribution goes down because t_n have "smaller tails" as n gets large. O The standard error goes down because the standard deviation of the sample will go down. (And other aspects remain the same.) The mean will be more accurate with a larger sample size. The standard error goes down because of the greater sample size in the denominator. And the t-value associated to the t-distribution goes down because t_n have "smaller tails" as n gets large.
Intuitively, a larger sample should lead to a smaller confidence interval (fixing the level of confidence). The following most accurately gives a reason for this in the mathematics we use to make the confidence interval:
The standard error goes down because of the greater sample size in the denominator. (And other aspects remain the same.) And the t'-value associated to the t-distribution goes down because t_n have "smaller tails" as n gets large. This is true.
The standard error goes down because of the greater sample size in the denominator. This is because the formula for the standard error involves taking the square root of the sample size in the denominator. Therefore, as the sample size increases, the denominator of the standard error formula increases, causing the standard error to decrease. And the t'-value associated to the t-distribution goes down because t_n have "smaller tails" as n gets large. This is because the t-distribution is symmetrical and bell-shaped, with fatter tails than the normal distribution. As the sample size n increases, the t-distribution approaches the normal distribution, with thinner tails, which means that the t-values become smaller as n increases.
Hence, the correct option is (O) The standard error goes down because the standard deviation of the sample will go down. (And other aspects remain the same.) The mean will be more accurate with a larger sample size. The standard error goes down because of the greater sample size in the denominator. And the t-value associated with the t-distribution goes down because t_n has "smaller tails" as n gets large.
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Which of these is not a scalar quantity A) time B) temperature c) velocity D) mass
Answer:
Hey there!
Velocity is a vector, not a scalar because it also has direction.
Let me know if this helps :)
Answer:
Velocity because it has direction
What is the solution ?
Answer:
C
Step-by-step explanation:
Graph: 3y = 6
-
-6 -4 -2
6
4
2
-2
त्र
-6
y
2 4
st
Click or tap the graph to plot a point.
6
X
४
Draw
y
PLS HELP
What is the solution to 5/4*-1/3> 1 1/3?
OX> 25/18
O x< 25/18
O x > 2
O x < 2
Answer:
x<25/18 tis is d real anwer
Answer:
the answer is d because its makes the 5/6 turn into 10/6 or 1 4/6 or 1 2/3
A store has 1353
pair of socks. The socks are sold in pack of 3
pairs. How many packs of socks the store can sell?
Answer: The store can sell 451 packs of socks.
Step-by-step explanation: To find the number of packs of socks the store can sell, we need to divide the total number of socks by the number of socks in each pack.
Since each pack contains 3 pairs of socks, or 6 individual socks, we can find the number of packs by dividing the total number of socks by 6:
1353 socks ÷ 6 socks per pack = 225.5 packs
However, since we can't sell a fraction of a pack, we need to round up to the nearest whole number. Therefore, the store can sell 451 packs of socks.
Share Prompt
find the value of x and y if the distance of the point (x,y) from (-2,0) and (2,0) are both 14 units.
Answer:
\( (0, 8\sqrt{3}) \) and \( (0, -8\sqrt{3}) \) are both 14 units from points (-2, 0) and (2, 0).
Step-by-step explanation:
distance formula
\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)
We want the distance, d, from points (-2, 0) and (2, 0) to be 14.
Point (-2, 0):
\( 14 = \sqrt{(x - (-2))^2 + (y - 0)^2} \)
\( \sqrt{(x + 2)^2 + y^2} = 14 \)
Point (2, 0):
\( 14 = \sqrt{(x - 2)^2 + (y - 0)^2} \)
\( \sqrt{(x - 2)^2 + y^2} = 14 \)
We have a system of equations:
\( \sqrt{(x + 2)^2 + y^2} = 14 \)
\( \sqrt{(x - 2)^2 + y^2} = 14 \)
Since the right sides of both equations are equal, we set the left sides equal.
\( \sqrt{(x + 2)^2 + y^2} = \sqrt{(x - 2)^2 + y^2} \)
Square both sides:
\( (x + 2)^2 + y^2 = (x - 2)^2 + y^2 \)
Square the binomials and combine like terms.
\( x^2 + 4x + 4 + y^2 = x^2 - 4x + 4 + y^2 \)
\( 4x = -4x \)
\( 8x = 0 \)
\( x = 0 \)
Now we substitute x = 0 in the first equation of the system of equations:
\( \sqrt{(x + 2)^2 + y^2} = 14 \)
\( \sqrt{(0 + 2)^2 + y^2} = 14 \)
\( \sqrt{4 + y^2} = 14 \)
Square both sides.
\( y^2 + 4 = 196 \)
\( y^2 = 192 \)
\( y = \pm \sqrt{192} \)
\( y = \pm \sqrt{64 \times 3} \)
\( y = \pm 8\sqrt{3} \)
The points are:
\( (0, 8\sqrt{3}) \) and \( (0, -8\sqrt{3}) \)
2. the butler and the cook have decided to murder their employer. they draw straws to determine which one of them must carry out the dirty deed (so each has the same chance). the butler has four poison tipped pens, two crowbars and four knives and the cook has three rolling pins and seven knives. whoever is chosen to be the murderer will select one of their weapons randomly. a. what is the probability that the murder was committed with a knife? b. given that the murder was committed with a knife, what's the probability that the cook did it?
a) The probability that the murder was committed with a knife: 0.55
b) The probability that the cook did it, given that the murder was committed with a knife: 0.275
To determine the probability that the murder was committed with a knife, we first need to find the total number of weapons.
The butler has four poison tipped pens, two crowbars and four knives and the cook has three rolling pins and seven knives.
So, the total knives: 4 + 7 = 11
crowbars: 2
poison tipped pens: 4
and rolling pins: 3
So, the total number of weapons: 11 + 2 + 4+ 3 = 20
The probability that the murder was committed with a knife:
p = 11/20
p = 0.55
Now we need to find the probability that the cook did it, given that the murder was committed with a knife.
P = 0.55 × 0.5
P = 0.275
The required probability is 0.275
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Regular expressions - recognizers of words in a language 1. Σ={a,b,c} where L={ all words in which a 's must follow the symbol b} 2. Σ={a,b,c} where L={ all words that have at least one occurrence of the string abc in them } Write a grammar for the following - grammars are generators of words in a language 3. Σ={a,b} where L={ all words that start with c and end with c and have only a's and b
′
s in between 4. Σ={a,b,c} where L={ all words using symbols a,b,c in which every b follows the symbol a} Is the following grammar ambiguous? Prove your statement. Why do we not want an ambiguous grammar for a programming language?
1. The regular expression for the language L={ all words in which a's must follow the symbol b} is \(^(b*(ab*)*)*a*$\).
2. The regular expression for the language L={ all words that have at least one occurrence of the string abc in them } is .*abc.*.
3. The grammar for the language L={ all words that start with c and end with c and have only a's and b's in between} is S -> cXc, X -> ε | aX | bX.
4. The grammar for the language L={ all words using symbols a,b,c in which every b follows the symbol a} is S -> ε | aSb | aA | c, A -> ε | aAb | aA | c. The grammar is ambiguous.
1. The regular expression \(^(b*(ab*)*)*a*$\) specifies that the word should start and end with any number of 'b' and 'a' in any order, and only 'a' should follow 'b'.
2. The regular expression .*abc.* matches any word that contains the substring 'abc' at least once.
3. The grammar S -> cXc, X -> ε | aX | bX generates words that start with 'c', followed by a sequence of 'a' or 'b', and ends with 'c'. Only 'a' and 'b' symbols are allowed in between.
4. The grammar S -> ε | aSb | aA | c, A -> ε | aAb | aA | c allows for words that can have multiple occurrences of 'a' followed by 'b', 'a' followed by 'a' or 'b', or just the symbol 'c'. This grammar is ambiguous because a single sentence can have multiple parse trees or interpretations.
An ambiguous grammar in a programming language can lead to different interpretations of code, resulting in confusion, inconsistencies, and difficulties in parsing and understanding the code.
Unintended or unexpected behavior can arise due to ambiguity, making it challenging to write reliable and predictable programs. To ensure clarity, correctness, and ease of interpretation, it is crucial to have an unambiguous grammar for a programming language.
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I don't understand it
Answer:
Your answer is: What do you need help with?
Step-by-step explanation:
Hope this helped : )
4. How many 5 -digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?
There are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.
To answer your question, we need to find the number of ways to arrange the remaining three digits after "67" is fixed.
Since we cannot repeat any digit, the first digit has 8 possibilities (0 to 9 except for 6 and 7).
the second digit has 7 possibilities, and the third digit has 6 possibilities.
To find the total number of arrangements, we multiply the number of possibilities for each digit together:
8 × 7 × 6 = 336.
Therefore, there are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.
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What is the domain of this graph
A. All real numbers
B.{x|x<0}
C.{x|x<0}
D.{x|x>0}
E.{x|x>0}
Answer:
day and 10 are not getting survey of relativity media and the correct answer re my name because I am will get you sir yours faithfully Mr of relativity theory and 10 are the correct answer re my grandmother is not getting any response yet to be upto date and the other side is the correct address is the best of the following statements is the correct answer is no doubt the best regards the correct address you e the following ad listing of all the time to reduce your doing good I am will get the correct address is correct address is the best right answer to reduce the amount is not shown and described in this case I will be encouraged me as a great day itself because this case the best and most importantly I the only one that I have a good time for a good morning please doddamma send me a good morning please find nth term and 10 I have been working with our results show that you want me to reduce their breast and leg stroke in the best regards David sent to reduce your u don't know what did you do exercise of the following statements of the periodic reports and 10 term of the periodic you sir yours faithfully Dr is the correct address you have a nice weekend too the correct address is no longer be upto date of birth and 10 term 1 amdmit the correct address is the best regards the happy hour is the correct answer and down stairs in India vs Pakistan is the correct address you sir yours in service and leg is correct because I have been in touch with our results suggest is to be upto the best regards David David sent to the correct answer is no sir yours in health care industry provider for a great weekend as I am not shown up yet and I have a great site the best of luck to reduce their the best of my grandmother of birth and 10 term of the following ad listing of store locations and leg is healing is the right one that requires
This is Math and Science together for My Ap class environmental science class picture is below please help
The study of population growth is important because it helps us understand the factors that drive changes in population size, and the impacts that population growth can have on the environment, economy, and human well-being.
Understanding population dynamics is essential for developing sustainable policies and managing natural resources effectively.
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Which statement about 214° is correct?
O A. tan 214° < 0
O B. sin 214° < 0
O C. cos 214° > 0
Answer:
B.
Step-by-step explanation:
214 degree terminates in the 3rd quadrant.
Sine and cosines are both negative there.
This means that sin(214)<0 and cos(214)<0.
If sine and cosine are both negative and since tangent is the quotient of them, then tangent is positive, or tan(214)>0.
Choose all the quadratic pairs that are equivalent. 1 2 (x + 4)2 = 2 x2 + 8x + 15 = 0 (x − 5)2 = 1 x2 − 10x + 26 = 0 3(x − 1)2 + 5 = 0 3x2 − 6x + 8 =
Answer:
Only equation 1 and 2 are equal.
Step-by-step explanation:
2 (x + 4)2 = 2
2( x² + 8x+ 16) = 2 Applying the square formula
2x² + 16x+ 32 = 2
2x² + 16x+ 32 -2= 0
2x² + 16x+ 30 = 0
2( x² + 8x+ 15)= 0 Taking 2 as common
x2 + 8x + 15 = 0------------eq 1
x2 + 8x + 15 = 0-------------eq 2
(x − 5)2 = 1
x²-10x+25= 1 Applying the square formula
x²-10x+25- 1= 0
x²-10x+24= 0-------------eq 3
x2 − 10x + 26 = 0 -------------eq 4
3(x − 1)2 + 5 = 0
3( x²-2x+1)+5= 0 Applying the square formula
3x²-6x+3+5= 0
3x²-6x+ 8= 0-------------eq 5
3x2 − 6x + 8 =1
3x2 − 6x + 8 -1=0
3x2 − 6x + 7 =0-------------eq 6
3 lbs of chicken costs 15 dollars, how much would 7 lbs of chicken cost
Answer:
105
Step-by-step explanation:
7x15=105
Answer: 35
Step-by-step explanation:
If you multiply 5X7 it gives you 35 if 3lbs cost 15 that means every lb cost 5 , or you can add 5 +5 till you get 35
PLEASE PLEASE PLEASE HELP
10- 9
11- 5
12- 1
13- 10
14- 3
15- 7
16- 3
17- 3
18- 6
Point O is between points Mand N on line segment MN. O is the midpoint of line segment MN if
ON = NM
OM = NM
ON + OM = MN
ON = OM