The unknown value that has the solution as c = 4 of the given algebraic equation is; 2
How to solve algebra word problems?The given algebraic expression for which we want to input a value and solve is given as; 5(2c − ?) =2(c + 11)
Now, we want to find the unknown value that has the solution as c = 4. Thus, we will plug in 4 for c into the given equation to get;
5(2(4) − ?) =2((4) + 11)
5(8 − ?) = 30
divide both sides by 5 to get;
(8 − ?) = 6
Add -6 + ? to both sides to get;
8 − ? - 6 + ? = 6 - 6 + ?
? = 2
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Complete question is;
Complete the equation so that it has the solution c = 4.
5(2c − ?) =2(c+11)
consider slotted aloha with nodes retrying with probability p a. recall that when there are n active nodes, the probability that any node has successful transmission is np(1 − p)n−1. find the value of p that maximizes this expression. show your work. b. using the value of p found in (a), find the efficiency of slotted aloha by letting n approach infinity.
The efficiency of slotted aloha by letting n approach infinity is 1/e and the maximum value of probability is 1/n.
Given that:
No. of nodes = (n)
The efficiency of slotted aloha by letting n approach infinity is E (p)= np(1-p)^(n-1).
By derivation,
E' (p) = n(1-p)^(n-1) - np(n-1)(1-p)^(n-2)
E' (p) = n(1-p)^(n-2) x [(1- p) - p(n-1)]
E' (p) = n(1-p)^(n-2) x [1-np]
Let E'(p) =0
i.e. Either, n(1-p)^(n-2) = 0
=> p = 1 (minima)
Or [1-np] = 0
=> p = 1/n (maxima)
So, for the value of p* = 1/n, we can maximize this expression.
When p = 1/n, the efficiency of slotted aloha is
E(p*) = n.1/n (1-1/n)^(n-1)
E(p*) = (1-1/n)^(n-1)
E(p*) = (1-1/n)^n/(1-1/n)
Since, [tex]\lim_{n \to \infty} (1-1/n) = 1\\[/tex]
[tex]\lim_{n \to \infty} (1-1/n)^n = 1/e[/tex]
So, when n approaches infinite,
Efficiency => [tex]\lim_{n \to \infty} E(p*) = 1/e[/tex]
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I do not understand what I am supposed to do
Check the picture below.
what is the difference between the critical value of z and the observed value of z (test statistic)?
The critical value of z separates the rejection region from the nonrejection region while observed value of z is the value calculated for a sample statistic such as x.
A critical value of z is used when the sampling distribution is normal, or close to normal. The critical value of z refers to the point that cuts off area under graph for the standard normal distribution separating the rejection and nonrejection region of the data. The Critical value of z can indicate what probability any particular variable will have. These values are typically obtained from a table such as the standard normal distribution table. The observed value of z is a value determined for a sample statistic x. It is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation.
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at what rate is the angle between a clock's minute and hour hands changing at 10 o'clock in the morning?
The angle between a clock's minute and hour hands changing at 10 o'clock in the morning is 5.5 degrees/minute.
what is the rate of change in calculus?
The rate of change defines the relationship between two changing variables. Consider a moving object that moves twice as much in the vertical direction (y) as it does in the horizontal direction (x). This can be expressed mathematically as y = 2x.
Let 'θ' represent the angle between the minute and hour hand.
Let θ1 be the angle between the minute hand and 12.
[tex]\frac{d\theta_2}{dt}=\frac{1}{60*12}\times2\pi\\\\\frac{d\theta_2}{dt}=\frac{\pi}{360}[/tex](Between hour hand and 12)
[tex]\theta=\pm(\theta_1-\theta_2)\\\\\frac{d\theta}{dt}=\pm(\frac{d\theta_1}{dt}-\frac{d\theta_2}{dt})\\\\\frac{d\theta}{dt}=\pm(\frac{\pi}{30}-\frac{\pi}{360})\\\\\frac{d\theta}{dt}=\pm5.5$ degree$[/tex]
Hence the angle between a clock's minute and hour hands changing at 10 o'clock in the morning is 5.5 degrees/minute.
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the function f(x) = –0.3x2 + 2.5x + 5 can be used to approximate the distance a thrown ball is from the ground, where x is the distance between the ball and the person throwing the ball. the mathematical domain of the function is all real numbers.
The mathematical domain of the function is 0<or = 5<or = -0.3
What is a simple definition of function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
What is the main meaning of function?the type of behavior that is appropriate for a given person, object, or institution; the reason why something exists; a role. any formal event or gathering that is public or social. a variable connected to or reliant upon another variable: A price depends on both supply and demand.
According to the above statements:-
The mathematical domain of the functions are:-
0<or = 5<or = -0.3
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Of people who died in the United States in recent years, 86% were white, 12% were black, and 2% were Asian. (This ignores a small number of deaths among other races.) Diabetes caused 2.8% of deaths among white people, 4.4% among black people, and 3.5% among Asians. What is the probability that a randomly chosen death is a white person who died of diabetes? (Round your answer to three decimal places.)
The probability that a randomly chosen death is a white person who died of diabetes is 0.024 determined using the law of total probability.
The law of total probability is a fundamental rule that connects marginal probabilities to conditional probabilities and expresses the total probability of an outcome via several distinct events. The rule states that if the probability of an event is unknown, it can be calculated using the known probabilities of several distinct events. It is given by P(A ∩ B) = P(A|B)P(B)
In order to determine the probability of an event (D) with not enough information to calculate it directly, a related event, say W can be taken and use that to calculate the probability for D.
Let the events that a person from a certain race die be denoted as:
P(W) = 0.86; P(B) = 0.12; P(A) = 0.02
Let the events that a person from a certain race dies of diabetes be denoted as:
P(D/W) = 0.0.028; P(D/B) = 0.044; P(D/A) = 0.035
Probability that a randomly chosen death is a white person who died of diabetes
P(W) x P (D/W) = 0.86 x 0.028 = 0.02408 ≈ 0.024
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how many different passwords are there that contain only digits and lower-case letters and satisfy the given restrictions? 1) length is 1010.
There are 36^10 ways that contain only digits and lower-case letters and having the length is 10.
What is password?
A password, also known as a passcode, is private information that typically consists of a string of characters and is used to verify a user's identity.
We have to find the number of ways that contain only digits and lower-case letters and having the length is 10.
Since, there are total 10 digits from '0 to 9' and 26 lower case letters from
'a to z'.
The 10 slots in the password can be anything - digits as lower case letters.
that is,
10 + 26 = 36 options for each slot.
So, the total number of ways are, 36^10.
Hence, there are 36^10 ways that contain only digits and lower-case letters and having the length is 10.
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Which graph represents the step function f(x)=⌊x+1⌋ ?
The graph which represents the equation f ( x ) = [ x + 1 ] is Option 4.
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = [ x + 1 ]
The function f ( x ) can be written as
y = [ x + 1 ] , where the equation f ( x ) = y
Substituting the value for x , we get
a)
when x = 0
The value of equation is
y = [ x + 1 ]
y = [ 0 + 1 ]
y = 1
So , the coordinates are ( 0 , 1 )
b)
when x = 1
The value of equation is
y = [ x + 1 ]
y = [ 1 + 1 ]
y = 2
So , the coordinates are ( 1 , 2 )
c)
when x = 2
The value of equation is
y = [ x + 1 ]
y = [ 2 + 1 ]
y = 3
So , the coordinates are ( 2 , 3 )
d)
when x = -1
The value of equation is
y = [ x + 1 ]
y = [ -1 + 1 ]
y = 0
So , the coordinates are ( -1 , 0 )
Hence ,
On plotting the points in the graph , we get the equation as y = x + 1
And the solution is Option D.
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I WILL OPEN MY ALT AND COMENT AND GIVE YOU A BRINLIST OPEN IF YOU SHOWED YOUR WORK!!! OPEN THE IMAGE
Answer:
b = -3
Step-by-step explanation:
1. Rearrange Terms
-3(3 + 6b) = 36 - 3b
-3(6b + 3) = 36 - 3b
2. Distribute
-3(6b + 3) = 36 - 3b
-18b - 9 = 36 - 3b
3. Rearrange Terms
-18b - 9 = 36 - 3b
-18b - 9 = -3b + 36
4. Add 9 to both sides
-18b - 9 = -3b + 36
-18b - 9 + 9 = -3b + 36 + 9
5. Simplify
-18b - 9 + 9 = -3b + 36 + 9
-18b = -3b + 45
6. Add 3b to both sides
-18b = -3b + 45
-18b +3b = -3b + 45 + 3b
7. Simplify
-15b = 45
8. Divide both sides by the same factor
-15b = 45
[tex]\frac{-15b}{-15}[/tex] = [tex]\frac{45}{-15}[/tex]
9. Simplify
b = -3
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
WWWWWW
Step-by-step explanation:
If the area of the pentagon is 36, what is the area of the larger pentagon?
Answer:48?
Step-by-step explanation:
I as of now am not completely sure of this is the correct answer.
A problem solving method that involves trying all possible solutions until one works is using ___________. a. an algorithm b. trial-and-error c. deductive reasoning d. a heuristic please select the best answer from the choices provided a b c d
The correct option b. trial-and-error, is employed in the approach to issue solving that entails testing each potential solution until one is successful.
Explain the term trial-and-error?Trial and error is attempting a way, seeing if it succeeds, and trying a different method if the first one doesn't.
Up till a solution or achievement is achieved, this procedure is repeated.A process of trying out several methods and recognizing and removing mistakes or reasons for a failure to determine the best strategy to achieve a goal or the best answer. also: attempting various things till something works. Finding the optimal approach to get the intended result through trial and error involves identifying and eradicating faults or failures using a variety of experimental methodologies.Thus, trial-and-error, is employed in the approach to issue solving that entails testing each potential solution until one is successful.
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What is the value of x?
Enter your answer In the box
X =
A+B+C=180
55+80+x=180
135+x=180
x=180-135
x=45
I need help right now!! The assignment I’m doing is about solving problems using division assignment!
Answer:
A
Step-by-step explanation:
The others involve more multiplication and addition/subtraction rather than division.
Help me pls 1,2,and 3 plssssssssssssssss
it's from statistical reasoning
a small combination lock on a suitcase has wheels, each labeled with the 10 digits from 0 to 9. if an opening combination is a particular sequence of digits with no repeats, what is the probability of a person guessing the right combination?
The probability of a person guessing the right combination be
1/720.
Given, a small combination lock on a suitcase has wheels, each labeled with the 10 digits from 0 to 9.
we have to find the probability of a person guessing the right combination if there is no repeating of any digit.
as, we need three digit number to unlock the suitcase.
total combinations of the lock be,
10×9×8
= 720
only one combination can open the suitcase,
So, the probability of a person guessing the right combination be
1/720.
Hence, the probability of a person guessing the right combination be
1/720.
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Find the value of x that will make A||B
A-
2x + 50
5x - 80
B-
x = [?]
Answer:
WE need to factorise (2x+4y)(2x−4y)
Given identity is (x+a)(x+b)=x
2
+(a+b)x+ab
Here x=2x,a=b=4y
Thus we have (2x+4y)(2x−4y)=(2x) 2
+(4y−4y)+(4y)(−4y)=4x2
−16y 2
stocks a and b each have an expected return of 12%, a beta of 1.2, and a standard deviation of 25%. the returns on the two stocks have a correlation of 0.6. portfolio p has 50% in stock a and 50% in stock b. which of the following statements is correct?
The correct answer is The standard deviation for Portfolio P is less than 25
This response is accurate because a portfolio made up of two stocks with a correlation of less than one will always have a standard deviation that is lower than the standard deviation of the stocks added in accordance with their weight in the portfolio. For example, in this scenario, both stocks have a weight of 50% and a standard deviation of 25%, so their sum will be.
The portfolio standard deviation will be smaller than 25% since (0.5*25%) + (0.5*25%) = 25%.
Therefore, the standard deviation for Portfolio P is less than 25
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Help how do i answer this problem
Answer:
1. EF ≈ 22.00
2. m∠E ≈ 36.20°
3. m∠F ≈ 53.81°
Step-by-step explanation:
1. Use the trigonometric function sine.
sin(60°) = EF / 25.4
EF = 25.4 sin(60°)
EF ≈ 22.00
2. Use the inverse of the trigonometric function sine (denoted arcsin).
sin(m∠E) = 15/25.4
m∠E = arcsin(15/25.4)
m∠E ≈ 36.20°
3. Use the inverse of the trigonometric function cosine (denoted arccos).
cos(m∠F) = 15/25.4
m∠F = arccos(15/25.4)
m∠F ≈ 53.81°
Maya spent 40% of her savings to pay for a bicycle that cost her $85. How much money was in her savings, to begin with? How much does she have left after buying the bicycle?
Answer: 212.50
Step-by-step explanation: she has 60% or 127.5
In a urvey of 300 houe wire. It wa dicovered that 150 had read magazine A, 200 had read Magazine B and 156 had read magazine C It wa further dicovered that 48 had read A and B 60 had read B and a while 52 hand read A and a. Find The number of houewive that had read. All three magazine
Answer:b
Step-by-step explanation:
If Amy is tardy, then she will get a detention
Write the CONTRAPOSITIVE of this statement
Answer:If Amy is not tardy, then she will not get a detention
Step-by-step explanation:
In ΔNOP, p = 490 inches, ∠N=57° and ∠O=55°. Find the length of n, to the nearest inch.
Using law of sine and triangle rule, the value of n will be; 443 inches
What is Sine Rule?The law of sines establishes the relationship between the sides and angles of an oblique triangle(non-right triangle). Law of sines and law of cosines in trigonometry are important rules used for "solving a triangle".
We can apply the sine rule to find the missing angle or side of any triangle using the requisite known data.
The formula is given as;
a / sin A = b / sin B = c / sin C
In this triangle NOP, we can find the value of angle P then;
∠N + ∠O + ∠P = 180
57 + 55 + ∠P = 180 :
since Sum of angles in a triangle is equal 180 degrees
∠P= 180 - 112
∠P = 68
Using law of sine;
p / sin P = n / sin N
490 / sin68 = n / sin57
n = [(490 x sin 57) / sin 68]
n = 443 inches
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Avery is a songwriter who collects royalties on her songs whenever
they are played in a commercial or a movie. Avery will earn $40 every
time one of her songs is played in a commercial and she will earn $140
every time one of her songs is played in a movie. Avery earned a total
of $480 in royalties on 7 commercials and movies. Determine the
number of commercials and the number of movies on which Avery's
songs were played.
Avery's songs were played on
commercials and
movies.
The number of movies on which Avery's songs were played is 2 times
How to determine the number of movies on which Avery's songs were played.From the question, we have the following parameters that can be used in our computation:
Songs played in commercial = $40
Songs played in movie = $140
Total earnings = $480
Number of times played on commercial = 7
The above parameters when represented as an equation is
Total earnings = Songs played in commercial * Number of times played on commercial + Songs played in movie * Number of times played in a movie
Substitute the known values in the above equation, so, we have the following representation
40 * 7 + 140 * Number of times played in a movie = 480
Evaluate the products
280 + 140 * Number of times played in a movie = 480
So, we have
Number of times played in a movie = 200/140
Evaluate
Number of times played in a movie = 2
Hence, the number of times is 2 times
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Please hurry!!!! 50 points!
The diameter of a regulation soccer ball is about 8 3/5 inches. This number was graphed on a number line. (Ill show the number line below) With point could be the point representing the graph of the diameter of the ball?
Answer:
D
Step-by-step explanation:
8 3/5 is a number greater than 8 but minor than 9
Answer:-9.9 -7 7.9 9.7
Step-by-step explanation:
Brandon went to the store to buy some walnuts. The price per pound of the walnuts is $6.50 per pound and he has a coupon for $3.75 off the final amount. With the coupon, how much would Brandon have to pay to buy 5 pounds of walnuts? Also, write an expression for the cost to buy
p
p pounds of walnuts, assuming at least one pound is purchased.
Answer:
Step-by-step explanation:
$28.75
given a point p(x,y), if you change the sign of its x coordinate and y- coordinate, what will happen to the location of the point?
If the given point is p(x, y) and change the sign of its x coordinates and y coordinates, then the new location will be on third quadrant
The coordinates of the point p = (x, y)
In the graph, there are four quadrants.
In first quadrant the x axis value and y axis value will be positive. In second quadrant the value of x will be negative and y will be positive. In the third quadrant the value of and y will be negative. In fourth quadrant the value of x will be positive and y will be negative
Here at first both x and y are positive and it will be on first quadrant. The the sign of the x coordinates and y coordinates will change sign. So both of them will be negative.
Therefore, the location of will be on third quadrant
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the average age of 33 fifth-graders is 11. the average age of 55 of their parents is 33. what is the average age of all of these parents and fifth-graders?
Since, the average age of 33 fifth-graders is 11. the average age of 55 of their parents is 33. The average age of all of these parents and fifth graders is 24.75.
Average age of the population calculated as the arithmetic mean. Another parameter determining the average age of the population is the median age. High-level terms.
Given In the question:
Average age of 33 fifth graders is 11 years.
Average age of parents is 33 Years.
Therefore,
The sum of the ages of the fifth graders is 33 × 11,
and, the sum of the ages of the parents is 55 × 33.
Therefore, the total sum of all their ages must be 2178,
and given 33 + 55 = 88 people in total, their average age is
= 2178/88
= 99/4
= 24.75
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3(4x2) 5x = 6-7(-x-2)
Answer:
24
Step-by-step explanation:
jessica has a die with 10 sides, another with 13 sides, and a third one with 5 sides. she rolls the three dice once. let z be the number of ones showing. find the expectation of z using the indicator method.
Jessica has three dice with 10 sides, 13 sides and 5 sides respectively and she rolls all dice once and if Z is number of ones occur then
The expectation value i.e, E(Z) is 0.376 and variance V[Z] = 0.321..
Indicator method :
This is a powerful way to find expected counts. This follows from the observation that the number of "good" outcomes in a trial can be counted by first coding each "good" outcome as one, coding each other outcome as zero, and then adding 1 and 0.
let X₁ be the outcome of a 10 sided die
X₂ be the outcome of 13 sided die
X₃ be the outcome of 5 sided die
let l₁ ,I₂ ,I₃ be three indicator functions such that
I₁ =1 if X₁ = 1
=0 otherwise
I₂ = 1 if X₂ = 1
=0 otherwise
I₃ = 1 if X₃ = 1
=0 otherwise
so Z denotes the number of ones showing when the three dice are rolled once.
so Z=I₁ +I₂ +I₃
so E[Z]=E[I₁]+E[I₂]+E[I₃]
so E[I₁]=1×P[X₁=1] = 1/10
E[I₂]=1×P[X₂=1] = 1/13
E[I₃]=1×P[X₃=1] = 1/5
so, E[Z]=1/10+1/13+1/5=49/130 = 0.3769
the variance = V[Z] = V[I₁]+V[I₂]+V[I₃] since the outcomes of the 3 different die are independent to each other hence no covariance term.
V[I₁]= 1²P[X₁=1]- E²[I₁]=1/10 -(1/10)²= 0.09
V[I₂]= 1²P[X₂=1]- E²[I₂]=1/13-(1/13)²= 12/169 = 0.071
V[I₃]= 1²P[X₃=1]- E²[I₃]=1/5 -(1/5)²= 4/25 = 0.16
so V[Z]= 0.09 + 0.071 + 0.16 = 0.321
Hence, the expectation value i.e, E(Z) is 0.3769..
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three less than the product of negative 12 1/2 and 4.8
Answer:
- 63
Step-by-step explanation:
Let's translate the sentences into expressions:
1. "product of negative 12 1/2 and 4.8" means:
(-12 1/2)*(4.8)
I'll simplify this by stating (-12.5)*(4.8)
2. "three less than" means subtract 3, or
-3
Now combine the two expressions:
(-12.5)*(4.8) - 3
(-60) - 3
= - 63