The length of the side GH of the rectangle is 15cm
Area of a Rectangleusing the parameters given:
Area = 60cm²
width = 4cm
Length = GH
Recall, Area of a Rectangle = Length × width
Inputting the values into the formula:
60 = GH × 4
GH = 60/4
GH = 15 cm
Therefore, the value of GH is 15cm
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For the binomial distribution, which formula finds the standard deviation? Choose the correct answer below: np npq npnpq
The formula for finding the standard deviation for a binomial distribution is σ2=npq. f.
What means binomial distribution?
When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution.
what is binomial Distribution Formula?For each random variable X, the binomial distribution formula is given by;
P(x:n,p) = nCx px (q)n-x
Where,
n = the number of experiments
x = 0, 1, 2, 3, 4, …
p = Probability of Success in a single experiment
q = Probability of Failure in a single experiment = 1 – p
formula for finding standard deviation of a binomial distribution is npq. f.
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find the constant rate of change (slope).
Answer:
5
Step-by-step explanation:
The slope is given by
m = ( y2-y1)/(x2-x1)
We can use any two sets of points. I like to use the first and the last
m = (15-0)/(4-1)
m = (15/3)
= 5
Mohal is a waiter at a restaurant. Each day he works, Mohal will make a guaranteed wage of $25, however the additional amount that Mohal earns from tips depends on the number of tables he waits on that day. From past experience, Mohal noticed that he will get about $15 in tips for each table he waits on. How much would Mohal expect to earn in a day on which he waits on 16 tables? How much would Mohal expect to make in a day when waiting on tt tables?
I need to know:
Total earnings with 16 tables:
Total Earnings with tt tables:
Mohal would expect to earn $265 in a day when he waits on 16 tables, and he would expect to earn $15tt + $25 in a day when he waits on tt tables
Describes earnings or wages?Earnings or wages refer to the amount of money an individual receives in exchange for their work or services. This can include a regular salary or hourly wage, as well as bonuses, commissions, and other forms of compensation.
Earnings or wages are typically determined by a variety of factors, including the type of work being performed, the level of skill and experience required, the local job market, and the employer's policies and practices. In some cases, earnings may be negotiated between the employer and the employee, while in other cases they may be set by industry standards or government regulations.
To calculate Mohal's expected earnings in a day when he waits on 16 tables, we can use the formula:
Total earnings = Guaranteed wage + Tips
Guaranteed wage = $25
Tips = $15 x Number of tables
Number of tables = 16
So, Total earnings with 16 tables = $25 + ($15 x 16) = $265
To calculate Mohal's expected earnings in a day when he waits on tt tables, we can use the same formula:
Total earnings = Guaranteed wage + Tips
Guaranteed wage = $25
Tips = $15 x Number of tables
Number of tables = tt
So, Total earnings with tt tables = $25 + ($15 x tt) = $15tt + $25
Therefore, Mohal would expect to earn $265 in a day when he waits on 16 tables, and he would expect to earn $15tt + $25 in a day when he waits on tt tables.
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Answer:
Total earnings with 16 tables: 265
Total Earnings with t tables: 15t+25
Step-by-step explanation:
Please check 1, 2, 4, and 5 for me and please help me with question 3.
Thank you!
Answer:
n = 7
Step-by-step explanation:
Your answers are correct.
For problem 3, we use error estimation:
| (-2)ⁿ⁺¹ / (n+1)! | < 0.01
(2)ⁿ⁺¹ / (n+1)! < 0.01
By trial and error:
If n = 3, (2)ⁿ⁺¹ / (n+1)! = 0.667
If n = 5, (2)ⁿ⁺¹ / (n+1)! = 0.089
If n = 7, (2)ⁿ⁺¹ / (n+1)! = 0.006
Hal put $3000 into a savings account that earns 6% interest. After 6 years, what will be the total amount of money in his savings account?
Explain for BRAINLIST.
please explain this in steps please friends
Answer:
See below
Step-by-step explanation:
The LHS and RHS are exactly the same, so the equality is true.
The associate property of addition says that
\(\boxed{a+(b+c)=(a+b)+c}\)
In order to make the addition of fractions, the denominators should be same. So we can write three fractions as one.
\(\dfrac{1}{2} +\left(\dfrac{2}{3}+\dfrac{3}{4} \right )\)
\(\dfrac{1}{2} +\dfrac{2}{3}+\dfrac{3}{4}\)
\(\dfrac{1\cdot 6 }{2\cdot 6} +\dfrac{2 \cdot 4}{3 \cdot 4}+\dfrac{3 \cdot 3 }{4 \cdot 3}\)
\(\dfrac{ 6 }{12} +\dfrac{8}{12}+\dfrac{9 }{12}\)
\(\dfrac{ 23 }{12}\)
Answer:
You gotta give me (us) more to work with homie.
Step-by-step explanation:
If I have more of a picture with it I could possibly help but all there is a barely readable and legible nonsense equation. Sorry :(
GUYS PLEASE HELP
* I’LL GIVE YOU BRAINLIEST
Write and simplify a polynomial expression to find the area of 4 circles. Each circle has a radius of (4a-6)
π(64a2 - 192a + 144) is the polynomial expression to find the area of 4 circles where circle has a radius of (4a-6) .
what is polynomial ?When variables and coefficients are combined using arithmetic procedures like addition, subtraction, multiplication, and non-negative integer exponents, the result is a mathematical expression known as a polynomial. Any numerical value may be represented by the variables, and the expression's coefficients are constants that combine the variables.
given
A = πr², where r is the circle's radius, is the method for calculating a circle's surface area. The area of one circle can be expressed as follows if the radius of each circle is (4a–6):
A₁ = π(4a-6)²
If we condense this phrase, we get:
A₁ = π(16a² - 48a + 36)
A₂ = π(4a-6)²
A₂ = π(16a² - 48a + 36)
A₃ = π(4a-6)²
A₃ = π(16a² - 48a + 36)
A₄ = π(4a-6)²
A₄ = π(16a² - 48a + 36)
We can add up the areas of each of the four circles to determine their combined area:
A1 + A2 + A3 + A4 Equals A total
A total is equal to π (16a2 - 48a + 36) + π(16a2 - 48a + 36) + π(16a2 - 48a + 36).
π(64a2 - 192a + 144) = A total
π(64a2 - 192a + 144) is the polynomial expression to find the area of 4 circles where circle has a radius of (4a-6) .
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What is the area of the semicircle? Use 3.14 for pi. 22cm
hi
area of circle is π* radius²
as radius is half diameter, and as diameter is 22 , so radius is 22 /2 = 11 cm
so area is 11²π and 11² = 121 then area is 121π
as it is say to use 3.14 for pi , then 121*3.14 = 379.94
but 379.94 is the area of the whole circle , and we only have half.
so : 379.94 / 2 = 189.97
area of semi circle is 189.97
Suppose you want to estimate the average age of all pokemon players. Would you use a confidence interval or a hypothesis test?.
The confidence interval is used to estimate the average age of all Pokémon players. Option(a) is correct.
A confidence interval displays the probability that a parameter will fall between two values close to the mean. Confidence intervals express the degree of certainty or unpredictability of a sampling technique.
The importance of a proposed (hypothesized) relationship between population statistics (parameters) and their corresponding sample estimators is examined using a hypothesis test, a statistical inference technique.
We employ confidence intervals whenever we want to estimate any parameters.
To Calculate the estimated mean we use the confidence interval formula
(X bar ± Z*σ/√n)
So option (a) is correct.
Therefore confidence interval is used to estimate the average age of all Pokémon players.
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public class BinarySearch \{ public static void main(Stringll args) f int [1]yl ist ={1,2,3,7,10,12,20}; int result = binarysearch ( inylist, 20); if (result =−1 ) System, out, println("Not found:"); else System.out.println("The index of the input key is " + result+ ". "): y public static int binarysearch(int]l List, int key) \{ int low =0; int high = iist. length −1 while (high >= low) \& int mid =( low + high )/2; if (key < List [mid] high = mid −1; else if (key =1 ist [ mid ] ) return inid; else low = mid +1; return −1; // Not found \} l TASK 4: Binary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let's think about how to modify the above code to make it work on an array in descending order. Name your new binary search method as "binarysearch2". Implement your own code in Eclipse, and ensure it runs without errors. Submit your source code file (.java file) and your console output screenshot. Hint: In the ascending order case, our logic is as follows: int mid =( low + high )/2 if ( key < list [mid] ) else if (key = ist [mid]) return mid; In the descending order case; what should our logic be like? (Swap two lines in the above code.)
The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.
The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.
To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.
The modified code for binary search in descending order would look like this:
public static int binarysearch2(int[] list, int key) {
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key > list[mid])
high = mid - 1;
else if (key < list[mid])
low = mid + 1;
else
return mid;
}
return -1; // Not found
}
By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.
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based on the diagram select all that apply.
A. a || b
B. a || c
C. b || c
D. a || e
E. d || e
Answer:
E
Step-by-step explanation:
I just think so. Maybe it's right
(redo) A mistake was made in the steps shown to simplify the expression. which step includes the mistake?? EDMENTUM
The step in which there was a mistake in the simplification of the expression is given as follows:
A. Step 5.
How to simplify the expression?The expression in this problem is defined as follows:
(1 + 3²)/5 + |-10|/2
The first step is applying the absolute value of -10, which is the distance of -10 from the origin of 0, hence it is of 10 and the expression is given then by:
(1 + 3²)/5 + 10/2.
Then the square is applied to 3², as 3 x 3 = 9, hence:
(1 + 9)/5 + 10/2
The parenthesis takes precedence, hence:
10/5 + 10/2.
The first quotient takes precedence, hence:
2 + 10/2.
Then in Step 5 there was the mistake, as the quotient takes precedence over the addition, meaning that the expression should have been simplified as follows:
2 + 5 = 7.
This means that option A is correct.
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The average stock price for stock A is $52.20 with a standard deviation of $3.45. The average price for stock B is $51.89 with a standard deviation of $4.98. Which stock has more variation in the data set?
Based in the standard deviation value given, Stock B has more variation in the data set.
Standard deviation is a measure of how spread out a set of data is. A higher standard deviation indicates that the data is more spread out, while a lower standard deviation indicates that the data is more clustered together. In this case, the standard deviation for stock B is higher than the standard deviation for stock A. This means that the prices of stock B are more spread out than the prices of stock A.
Therefore, stock B has more variation in the data set.
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At the same time as new hires were taking place, many retailers were cutting back. Out of 1,000 Kwik Save stores in Britain, 107 were to be closed. Out of 424 Somerfield stores, 424 were to be closed. Given that a store is closing, what is the probability that it is a Kwik Save? What is the probability that a randomly chosen store is either closing or Kwik Save? Find the probability that a randomly selected store is not closing given that it is a Somerfield
This probability is greater than 1, which is not possible.
This suggests that there may be an error in the problem statement, or that some additional information is required to correctly solve the problem.
The probability of a store being a Kwik Save is:
P(Kwik Save) = 1000 / (1000 + 424) = 1000 / 1424 = 0.7037
The probability of a store closing, given that it is a closing store, is:
P(closing| Kwik Save) = 107 / (107 + 324) = 107 / 431 = 0.2488
The probability of a store being a closing store is:
P(closing) = (107 + 324) / (1000 + 424) = 431 / 1424 = 0.3029
The probability of a randomly chosen store being either closing or Kwik Save is:
P(closing or Kwik Save) = P(closing) + P(Kwik Save) - P(closing and Kwik Save)
= 0.7037 + 0.3029 - (107 / 1424)
= 0.8997
The probability that a randomly selected store is not closing given that it is a Somerfield is:
P(not closing| Somerfield) = 1 - P(closingl Somerfield)
To find P(closing| Somerfield), we can use Bayes' theorem:
P(closing| Somerfield) = P(Somer field| closing) * P(closing) / P(Somerfield)
P(Somerfield| closing) is the probability that a store is a Somerfield given that it is closing.
Since all the Somerfield stores are closing, this probability is 1.
P(Somerfield) is the probability that a store is a Somerfield.
It is:
P(Somerfield) = 424 / (1000 + 424) = 424 / 1424 = 0.2980
Therefore,
P(closing| Somerfield) = 1 * 0.3029 / 0.2980 = 1.0151.
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A company has 440,000 shares outstanding that sell for $98.48 per share. The company plans a 6-for-1 stock split. Assuming no market imperfections or tax effects, what will the stock price be after the split?
After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.
A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.
To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:
$98.48 / 6 = $16.41
Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.
It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.
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4. A cylindrical can has a
radius of 5.5 cm and a height
of 8 cm. What is the capacity
of the can?
Answer:
760.27 cm squared is the capacity
Find the general solution of the differential equation 121y′′−16y=0. Use c1, c2, c3,. For the constants of integration.
The general solution of the differential equation 121y" – 16y = 0 is given by y = (16/121)yt + C1t + C2
Differential equations are mathematical models that describe how a function changes over time. They are commonly used in physics, engineering, and economics.
The general solution of a differential equation is a formula that describes the behavior of a function that satisfies the given equation. In this case, we are asked to find the general solution of the differential equation
=> 121y" – 16y = 0.
To solve this differential equation, we need to use the method of integration. This involves finding a function that satisfies the given equation, and then finding its derivatives to obtain the solution.
To do this, we first write the equation as 121y" = 16y, and then divide both sides by 121 to get
=> y" = 16/121 y.
Next, we integrate both sides with respect to time, t, to obtain
=> y' = 16/121 y + C1,
where C1 is a constant of integration. Integrating once more, we get
=> y = (16/121)yt + C1t + C2,
where C2 is another constant of integration.
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There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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x(-6) + 19
need help
Answer:
-6x + 19
Step-by-step explanation:
perform multiplication first.
Can anyone give me the answer for this one
a²(b²-c²)+b²(c²-a²)+c²(a²-b²) Simplify it
Answer:
After Multiplying them.
we get 0 as an answer.
Each of ten tickets is marked with a different number from 1 to 10 and put in a box. if you draw a ticket from the box, what is the probability that you will draw a number greater than 3?
Answer:
7/10
Step-by-step explanation:
take 3, 2, 1 from the equation and your left with 7 numbers. Add those together you get 10. 7/10 is the probability that you will draw a number greater than 3
[6.01] Samra went to San Francisco for a vacation. She spent four nights at a hotel and rented a car for two days. Andres stayed at the same hotel and also spent four nights, but he rented a car for five days from the same company. If Samra paid $500 and Andres paid $740, how much did one night at the hotel cost?
Using substitution method, the cost of hotel per night is $ 85
Let hotel cost per night = x
Let car rental per day = y
For Samra4x + 2y = 500 ____(1)
For Andres4x + 5y = 740 ____(2)
Solving for x in the equation
Equation (1) - (2)
-3y = - 240
y = 80
Substitute the value of y in (1)
4x + 2(80) = 500
4x + 160 = 500
4x = 500-160
4x = 340
x = $85
Therefore, hotel cost per night is $85
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Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest. What was her initial deposit
Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest then the initial deposit was $4700
Use the simple interest formula
I = P r t
where I = simple interest
P = principal
r= rate of interest
t= number of years
5922=Px6.3%x20
5922=Px1.26
P=5922/1.26
P=4700
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During gym , your "friend" is standing 5 meters from you and throws a ball at your face. It hits you in approximately 1. 2 seconds. What is the velocity of the ball?
The velocity of the ball thrown by your friend is approximately 4.17 meters per second.
To ascertain the speed of the ball, we want to utilize the condition of movement that relates distance, time, and speed increase. For this situation, we expect that the ball goes in an orderly fashion, and its speed increase is because of the power applied by your companion's toss. We can utilize the recipe:
distance = speed x time
We realize that the distance among you and your companion is 5 meters, and the time taken for the ball to travel that distance is 1.2 seconds. Hence, we can revise the equation to tackle for the speed:
speed = distance/time
Subbing the qualities, we get:
speed = 5/1.2 = 4.17 meters each second (approx.)
So the speed of the ball tossed by your companion is around 4.17 meters each second.
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The given two-way table shows the number of passengers, by type, on the Ferris wheel at an amusement part for its first two runs on a Sunday morning.
First Run
Second Run Total
Children 122 146 268
Adults 183 219 402
Total 305 365 670
Based on the data in the table, what is the value of P(Adult|Second run) rounded to the nearest thousandth?
The two-way table is an illustration of probability, and the value of P(Adult|Second run) is 0.600
How to determine the probability?The probability to calculate is given as: P(Adult|Second run)
This means:
The probability that an Adult is selected given that the adult runs the second run
The formula to solve this is:
P(Adult|Second run) = n(Adult and Second run)/n(Second run)
From the table, we have:
n(Adult and Second run) = 219
n(Second run) = 365
So, we have:
P(Adult|Second run) = 219/365
Evaluate
P(Adult|Second run) = 0.600
Hence, the value of P(Adult|Second run) is 0.600
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Answer:
The value of P rounded to the nearest thousandth would be 0.6
Hope this helped!
In a normal distribution with mean =10 and a standard deviation of 2 , the area under the curve greater than 12 is approximately: a.10% b.16% c.25% d.50%
Answer:
The area under the normal distribution curve greater than 12 is approximately 0.1587, which is equivalent to 15.87%.
The answer is not among the given options.
Step-by-step explanation:
To find the area under the normal distribution curve greater than 12, we can standardize the value 12 using the formula:
z = (x - μ) / σ
Given:
Mean (μ) = 10
Standard deviation (σ) = 2
Value (x) = 12
Plugging in the values:
z = (12 - 10) / 2
= 2 / 2
= 1
Now, we need to find the area to the right of 1 on the standard normal distribution curve. This can be looked up in the z-table or calculated using a calculator.
Using the z-table, the area to the left of 1 is approximately 0.8413. Therefore, the area to the right of 1 is 1 - 0.8413 = 0.1587.
So, the area under the normal distribution curve greater than 12 is approximately 0.1587, which is equivalent to 15.87%.
Therefore, To find the area under the normal distribution curve greater than 12, we can standardize the value 12 using the formula:
z = (x - μ) / σ
Given:
Mean (μ) = 10
Standard deviation (σ) = 2
Value (x) = 12
Plugging in the values:
z = (12 - 10) / 2
= 2 / 2
= 1
Now, we need to find the area to the right of 1 on the standard normal distribution curve. This can be looked up in the z-table or calculated using a calculator.
Using the z-table, the area to the left of 1 is approximately 0.8413. Therefore, the area to the right of 1 is 1 - 0.8413 = 0.1587.
So, the area under the normal distribution curve greater than 12 is approximately 0.1587, which is equivalent to 15.87%.
Therefore, the answer is not among the given options.
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a polynomial contains number of terms
Correct question is;
A polynomial contains _____ number of terms
Answer:
(n + 1)
Where n is the degree of the polynomial
Step-by-step explanation:
Now, for a polynomial that has degree of n = 1, the number of terms it will have is 2.
Similarly, a polynomial that has degree of n = 2, the number of terms it will have is 3.
This means from the above, we can deduce that the number of terms in a polynomial with degree "n" is n + 1.
We can therefore conclude that a polynomial can have any finite number of terms as n + 1
Are infinite languages undecidable?
Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.
Define infinitive.The ideas of zero and infinity are related, although evidently, zero is not the same as infinity. Instead, if N/Z set exists, and N is any positive number, the quotient grows indefinitely as Z approaches 0. Therefore, it is obvious that N / 0 is limit- less.
Here,
Regular languages are all finite languages. Some of the infinite languages are common. Only infinite languages have an undecidability limit.
There must be specific language strings that cause the TM to fail for the language to be undecidable. In fact, such strings must exist indefinitely (otherwise, the poorly behaved ones could be handled by special-case logic).
Thus, undecidability requires an is infinite language but does not prove it.
Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.
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Solve the equation. 6k - 12 = -24
First, add 12 to both sides of the equation:
\(6k-12+12=-24+12\)\(6k=-12\)Finally, divide both sides of the equation by 6:
\(6k/6\text{=-12/6}\)\(k=-2\)Select the correct answer. What is this expression in simplest form? A. B. C. D.
Answer:
c but there is no question
Answer:
D
Step-by-step explanation:
you didn't put something here