Step-by-step explanation:
rate of change = gradient
the gradient of the first function is ¾
gradient od second is rise over run which is ⅗
for common denominator, 15/20 and 12/20 meaning tbe rate of change is greater for the first function
Jacque needs to buy some pizzas for a party at her office. She’s ordering from a restaurant that charges a $7.50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60.
Each pizza is cut into 8 slices, and she wonders how many total slices she can afford.
Q: What is the largest number of slices that Jacque can afford?
Lets answer the information by making it look like a budget subtraction:
60 = Total
1. Remove the delivery cost, so you can leave the rest of the budget for your pizzas.
60 - 7.50 = 52.50
2. Now, subtract the cost of pizzas multiple times until you reach it to where you dont have enough for another pizza.
52.50 - 14 = 38.50 Pizza 1
38.50 - 14 = 24.50 Pizza 2
24.50 - 14 = 10.50 Pizza 3
Now, theres not enough to buy another.
So, we know that Jacque can only afford 3 pizzas, but she need to calculate the number of slices.
3. Multiply the number of slices by the number of pizzas.
8 x 3 = 24
So, the largest number is 24 slices.
Answer:
60
Step-by-step explanation:
What is the common factor for the expression: 6x + 3xy +12xz?
Answer:
3x is the common factor for the expression
Answer:
\(\huge\boxed{3x}\)
Step-by-step explanation:
\(6x+3xy+12xz\\\\6x=2\cdot \boxed{3}\cdot \boxed{x}\\\\3xy= \boxed{3}\cdot \boxed{x}\cdot y\\\\12xz=2\cdot2\cdot \boxed{3}\cdot \boxed{x}\cdot z\\\\6x+3xy+12xz= \boxed{3}\cdot \boxed{x}(2+y+2\cdot2\cdot z)=3x(2+y+4z)\)
A table showing Tickets Sold, Cost, and Total. The first row shows Child, with the entries, c, 3, and 3 c. The second row shows Adult, with entries, x, 5, 5 x. The last row shows Total, with all three entries blank.
Tickets to a baseball game cost $3 for a child’s ticket and $5 for an adult ticket. At the last game, $521 was collected when 139 people attended the game. Which value could replace x in the table so that a single-variable equation can be written and solved to determine the number of child’s tickets, c, sold?
139
521
139 – c
521 – c
Answer:
the answer is 139 - c
Step-by-step explanation:
I did it on edge
Answer:
the answer is the third option, 139-c
Step-by-step explanation:
Im doing the assignment on edge
shirabi spent $208 on a sewing machine to make purses. she spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. the equation represents her break-even point, when x represents the number of purses sold. 208 10x
Shirabi needs to sell a minimum of 20 purses in order to reach her break-even point, where her total revenue equals her total costs.
To find the break-even point, we need to determine the number of purses that Shirabi needs to sell in order to cover her costs and not incur any loss. The equation representing her break-even point is given as:
208 + 10x
Here, 208 represents the cost of the sewing machine, and 10x represents the total cost of thread, fabric, and accessories for each purse, multiplied by the number of purses sold.
To find the break-even point, we need to set the equation equal to zero:
208 + 10x = 0
Now, let's solve for x:
10x = -208
x = -208/10
x = -20.8
Since the number of purses sold cannot be negative, we can disregard the negative solution. Therefore, Shirabi's break-even point is when she sells 20 purses.
Shirabi needs to sell a minimum of 20 purses in order to reach her break-even point, where her total revenue equals her total costs. Selling fewer than 20 purses would result in a loss, while selling more than 20 purses would generate a profit.
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Can someone please help?
I am stressing because I honestly do not understand this and the last person who answered this did not make it clear
Answer:
\(\frac{108}{125}\)
Step-by-step explanation:
\(\frac{3}{5}\)*\(\frac{25}{24}\)= \(\frac{72}{125}\)
\(\frac{72}{125}\)÷\(\frac{2}{3}\)=\(\frac{108}{125}\)
Hope this helps you!
tara measured a boarding school and made a scale drawing. she used the scale 1 centimeter : 2 meters. the actual length of a building at the school is 40 meters. how long is the building in the drawing?
The length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.
Let the length of the building in the drawing be x.
According to the given question.
Tara measured a boarding school and made a scale drawing. she used the scale 1 centimeter : 2 meters.
So, the given sclae is 1cm : 2m
Also, the actual length of the bulding at the school is 40 meters.
Since, we have to find the the length of the building in the drawing.
Now by the proportional formula we can say that
x : 40 = 1 : 2
⇒ 2x = 40
⇒ x = 20 cm
Hence, the length of the building in the drawing wiil be 20 cm if the scale is 1cm:2m.
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Answer:
if your doing IXL than 20cm is correct
Step-by-step explanation:
How tall is the tree?
5ft
35°
-20ft-
[? ]ft
Answer:
19
Step-by-step explanation:
tan35=x/20
20tan35=x
x=14.0041507641942
x+5=19.0041507641942
Nearest foot is 19
In the absence of additional information you assume that every person is equally likely to leave the elevator on any floor. What is the probability that on each floor at most 1 person leaves the elevator
The probability of at most 1 person leaving the elevator on each floor when assuming that every person is equally likely to leave the elevator on any floor depends on the number of floors in the building and can be calculated using the binomial distribution formula.
Assuming that every person is equally likely to leave the elevator on any floor, the probability that on each floor at most 1 person leaves the elevator can be calculated using the binomial distribution.
Let's say there are n floors in the building. The probability of at most 1 person leaving the elevator on each floor is the probability that 0 or 1 person leaves the elevator on each floor. This can be calculated as follows:
P(at most 1 person leaves the elevator on each floor) = P(0 people leave on floor 1) x P(0 or 1 people leave on floor 2) x P(0 or 1 people leave on floor 3) x ... x P(0 or 1 people leave on floor n)
Now, since we are assuming that every person is equally likely to leave the elevator on any floor, the probability of 0 people leaving the elevator on any floor is (n-1)/n and the probability of 1 person leaving the elevator on any floor is 1/n. Therefore, we can calculate the probability of at most 1 person leaving the elevator on each floor as:
P(at most 1 person leaves the elevator on each floor) = (n-1)/n * (1/n + (n-1)/n)^(n-1)
Simplifying this expression, we get:
P(at most 1 person leaves the elevator on each floor) = (n-1)/n * (2/n)^(n-1)
For example, if there are 5 floors in the building, the probability of at most 1 person leaving the elevator on each floor is:
P(at most 1 person leaves the elevator on each floor) = 4/5 * (2/5)^4
P(at most 1 person leaves the elevator on each floor) = 0.08192
Therefore, the probability of at most 1 person leaving the elevator on each floor when assuming that every person is equally likely to leave the elevator on any floor depends on the number of floors in the building and can be calculated using the binomial distribution formula.
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Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.16,8,4,...
Given sequence is geometric sequence and common ratio between consecutive term is
\(16,8,4\)In Arithmetic sequence , common difference between consecutive terms should be equal.
In Geometric sequence, common ratio between consecutive terms should be equal.
Given sequence, 16, 8, 4, ...
Since, common difference = 8 - 16 ≠ 4 - 8 , this is not arithmetic sequence.
Common ratio = T2/T1 = T3/T2 = 8/16 = 4/8 = 1/2 Because common ratio is are equal. Thus, given sequence is geometric sequence.
Hence the sequence is a geometric sequence and the common ratio = 1/2
write mathematically square root of 121
Answer:
Step-by-step explanation:
The mathematical translation of the statement:
\(\sqrt{121} = \sqrt{11 *11}\)
\(= \sqrt{11^{2}}\)
\(= (11^{2}) ^{\frac{1}{2} }\)
The indices will cancel each other out completely:
\(= 11\)
OR:
\(\sqrt{121} = \sqrt{(-11)*(-11)}\)
\(= \sqrt{(-11)^{2} }\)
\(= [(-11)^{2}] ^{\frac{1}{2} }\)
= -11
If you rent a car from Caleb's Cars, you'll pay a $61 fee
and $24 per day. At Vinny's Vehicles, you'll pay a $105 fee and $20 per day. Determine the number of days you can rent a car from either place and pay the same amount. Use substitution or elimination.Thanks
Yomaro is buying soil for his garden. He needs to fill one pot with 12 cups of soil and another pot with 2 gallons of soil. If the price of soil is
$1.50 per quart, how much will he pay in all?
Answer:
$16.5
Step-by-step explanation:
12 cups= 3 quarts 2 gallons= 8 quarts
3+8=11 quarts 11x$1.5=$16.5
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=6°, and RS = 20 feet. Find the length of SQ to the nearest tenth of a foot.
Answer:
190.3 feet
Step-by-step explanation:
DM
What is -2/3 x (-4/8) in simplest form?
Answer: 2/3
Step-by-step explanation:
First you multiply both numerators which equals 8
Then, you multiply the denomerators which is 24
This gives you 8/24
Since both 8 and 24 are divisible by 8, you divide them by 8 and you get 1/3
Since two negative numbers equal a positive one, the answer is positive
Problem 2: In a manufacturing plant that makes cell phone sim cards defects are treated by running the sim card through a machine that runs a short repair routine. The machine takes exactly 2 minutes to repair each sim card. The plant manager noticed that defects occurred randomly and decided to do a time study. They discovered that the average time in between the occurrence of defects was 2.5 minutes and that the time in between defects was exponentially distributed. What is the average number of sim cards at the repair machine
The average number of sim cards that are at the repair machine at any given time, based on the Poisson distribution and the given parameters.
Based on the information provided, we can use the Poisson distribution to calculate the average number of sim cards at the repair machine.
First, we need to find the rate parameter, which is the average number of defects per unit time. We know that the time in between defects follows an exponential distribution with an average of 2.5 minutes. The rate parameter (λ) is the inverse of the average time between defects, so λ = 1/2.5 = 0.4 defects per minute.
Next, we can use the Poisson distribution formula:
P(k defects in t minutes) = (λt)^k * e^(-λt) / k!
We want to find the expected number of sim cards at the repair machine, which is the average number of defects that occur in the 2 minutes it takes to repair each sim card. So we can set t = 2 and solve for k:
P(k defects in 2 minutes) = (0.4 * 2)^k * e^(-0.4 * 2) / k!
We can use a table or calculator to find the probabilities for different values of k. For example, P(0 defects) = 0.329, P(1 defect) = 0.391, P(2 defects) = 0.195, etc.
To find the expected number of sim cards at the repair machine, we can multiply each probability by the corresponding number of sim cards (k) and add them up:
E(number of sim cards) = 0 * 0.329 + 1 * 0.391 + 2 * 0.195 + ...
This sum can be approximated using a calculator or spreadsheet. The answer will be the average number of sim cards that are at the repair machine at any given time, based on the Poisson distribution and the given parameters.
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3. Pilihan ganda30 detik1 ptQ. How does the arrival of George Murchison change the mood of the scene?George's arrival changes the mood because he doesn't take part in the danceGeorge's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African pastGeorge's arrival changes the mood because he was rich, and they didn't like that a rich white person was in their houseGeorge's arrival changes the mood because he had a gun
Option B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past
In Act 2 of A Raisin in the Sun, George Murchison's arrival changes the mood of the scene as he complains that Beneatha is giving them a lecture on their African past. George's comments create tension and conflict among the characters, particularly with Beneatha, who is exploring her African heritage. His attitude towards Beneatha's interest in her roots is dismissive and condescending, which generates discomfort and disagreement among the characters. George's arrival highlights the cultural differences between him and the Younger family and demonstrates the generational and ideological divides within the African American community. Thus, his presence is a catalyst for revealing deeper tensions and conflicts within the play.
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Complete question:
How does the arrival of George Murchison change the mood of the scene?
A) George's arrival changes the mood because he doesn't take part in the dance
B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past
C) George's arrival changes the mood because he was rich, and they didn't like that a rich white person was in their house
D) George's arrival changes the mood because he had a gun
(b) A solid metal cone has radius 1.65 cm and slant height 4.70 cm.
Calculate the volume of the cone.
Answer:
13.4
Step-by-step explanation:
πr2h
3
Answer:
12.5
Step-by-step explanation:
use pythag to find perpendicular height
then from that your answer should be 4.40cm
a+hedge+fund+returns+on+average+26%+per+year+with+a+standard+deviation+of+12%.+using+the+empirical+rule,+approximate+the+probability+the+fund+returns+over+50%+next+year.
Based on the empirical rule, the probability that the hedge fund returns over 50% next year is approximately 5%.
The empirical rule, also known as the 68-95-99.7 rule, is a statistical guideline that applies to a normal distribution (also called a bell curve). It states that for a normal distribution:
Approximately 68% of the data falls within one standard deviation of the average.
Approximately 95% of the data falls within two standard deviations of the average.
Approximately 99.7% of the data falls within three standard deviations of the average.
In this case, we know the average return of the hedge fund is 26% per year, and the standard deviation is 12%. We want to approximate the probability that the fund returns over 50% next year.
To do this, we need to determine how many standard deviations away from the average 50% falls. This can be calculated using the formula:
Z = (X - μ) / σ
Where:
Z is the number of standard deviations away from the average.
X is the value we want to find the probability for (50% in this case).
μ is the average return of the hedge fund (26% per year in this case).
σ is the standard deviation (12% in this case).
Let's calculate the Z-value for 50% return:
Z = (50 - 26) / 12
Z ≈ 24 / 12
Z = 2
Now that we have the Z-value, we can refer to the empirical rule to estimate the probability. According to the rule, approximately 95% of the data falls within two standard deviations of the average. This means that there is a 95% chance that the hedge fund's return will fall within the range of (μ - 2σ) to (μ + 2σ).
In our case, the range is (26 - 2 * 12) to (26 + 2 * 12), which simplifies to 2 to 50.
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A coin is biased to display heads 75% of the time. it is tossed 20 times, and the outcomes are recorded. the most improbable simulation for this coin is heads.
A percentage is a way to describe a part of a whole. The most improbable simulation for this coin is heads are 9.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The most improbable simulation for this coin for heads is the frequency of heads coming up out of 20 which is far from the estimated frequency. Since out of these 20 times 75% of the times the head will come up. Therefore, the number of times the head will come up can be written as,
\(75\%\ of\ 20\\\\= \dfrac{75}{100} \times 20\\\\= 15\)
Now it is estimated that at least 15 times out of 20, the head will come up. Thus, the most improbable simulation for this coin is heads are 9.
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Answer:
A coin is biased to display heads 75% of the time. It is tossed 20 times, and the outcomes are recorded. The most improbable simulation for this coin is
9 heads.
Step-by-step explanation:
What is the solution to 14 < 3x -1?
Answer:
x>5
Step-by-step explanation:
Answer:x>5
Step-by-step explanation: 14 < 3x - 1
Solve for x
First add 1 to both sides then divide by three on both sides
The velocity in a fluid flow field is given by u=2x+y^2u=2x+y2 and v=3x^2yv=3x2y where uu is the x-component of velocity, and vv is the y-component of velocity. What is the x-component of fluid acceleration in terms of x and y?
The x-component of fluid acceleration in terms of x and y is 2.
To find the x-component of fluid acceleration (ax), we need to differentiate the x-component of velocity (u) with respect to time.
However, the given equations provide the expressions for u in terms of x and y, not time. Therefore, we need to differentiate u with respect to x and y instead.
Given: u = 2x + y^2
To find the x-component of fluid acceleration (ax), we differentiate u with respect to x while treating y as a constant:
ax = ∂u/∂x = ∂(2x + y^2)/∂x = 2
The x-component of fluid acceleration, ax, is simply 2.
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i forgote what is 1+1= pls tell me
Answer:
two
Step-by-step explanation:
Find the missing length in a figure.
Answer:
5 cm
Step-by-step explanation:
Opposite sides are equal in a rectangle.
So, Area of missing length = 16-11 = 5 cm
Find an inequality involving an absolute value that describes the set. (let x represent a real number in the set. )
The inequality involving an absolute value that describes the set is |X| >= 1
A real number is the value of a continuous quantity that may either be represented as an infinite decimal expansion or as a distance along a line. All rational and irrational numbers are included in the real numbers. Real numbers consist of non-zero positive and negative number, the set of real numbers is denoted using the symbol R.
Positive real numbers are denoted by
X > 0 £ R
For negative number
X < 0 £ R
Which can be combined as
-X < 0 < X £ R
The above inequality can be expressed as absolute quantity which is shown below
|X| £ R
For the line diagram given in this question showing real numbers from -5 to +5 is expressed as
-5 < X < 5 £ R
X <= -1 £ R For negative
X >= 1 £ R For positve
|X| >= 1
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a publisher reports that 26% of their readers own a laptop. a marketing executive wants to test the claim that the percentage is actually different from the reported percentage. a random sample of 100 found that 17% of the readers owned a laptop. determine the p-value of the test statistic. round your answer to four decimal places.
Rounded to four decimal places, the p-value is 0.0844.
To determine the p-value for this hypothesis test, we need to follow these steps:
Step 1: State the null and alternative hypotheses.
Null hypothesis: The percentage of readers who own a laptop is 26%.
Alternative hypothesis: The percentage of readers who own a laptop is different from 26%.
Step 2: Determine the test statistic.
We can use a z-test for proportions since we have a large enough sample size and we know the population proportion. The formula for the test statistic is:
z = (p - p) / √(p(1-p) / n)
where p is the sample proportion, p is the hypothesized population proportion, and n is the sample size.
Using the given values, we have:
z = (0.17 - 0.26) / √(0.26(1-0.26) / 100)
z = -1.72
Step 3: Determine the p-value.
Since this is a two-tailed test, we need to find the area in both tails of the standard normal distribution that corresponds to a z-score of -1.72. Using a table or a calculator, we find that the area in the left tail is 0.0422 and the area in the right tail is also 0.0422.
Therefore, the p-value is the sum of the areas in both tails:
p-value = 0.0422 + 0.0422
p-value = 0.0844
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Pls help me classify this asap?!!
2. Jill makes a blend of brownies for the bake sale. The double-chocolate brownies are $5.50 per plate, and the chocolate-mint brownies are $4.00 per plate. Jill sells more than 11 plates total. Jill also sells less than $66.50 worth of brownies. Using this information, choose the solution set that would be found in the overlapping areas of a graph of Jill's sales. 2. Jill makes a blend of brownies for the bake sale . The double - chocolate brownies are $ 5.50 per plate , and the chocolate - mint brownies are $ 4.00 per plate . Jill sells more than 11 plates total . Jill also sells less than $ 66.50 worth of brownies . Using this information , choose the solution set that would be found in the overlapping areas of a graph of Jill's sales .
By using a graphing calculator, the solution set that would be found in the overlapping areas of a graph of Jill's sales is (15, -4).
How to determine the solution set?First of all, we would assign variables to the blend of brownies that were made by Jill for the bake sale as follows:
Let x be the double-chocolate brownies.Let y be the chocolate-mint brownies.Since Jill sold more than 11 plates in total, we have:
x + y > 11.
Also, Jill sold less than $66.50 worth of brownies:
5.50x + 4.00y < 66.50.
By using a graphing calculator, the solution set that would be found in the overlapping areas of a graph of Jill's sales is (15, -4).
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An automatic filling machine is used to fill 2-litre bottles of cola. The machine’s output is known to be approximately Normal with a mean of 2.0 litres and a standard deviation of 0.01 litres. Output is monitored using means of samples of 5 observations.
Determine the upper and lower control limits that will include roughly 95.5 percent of the sample means.
If the means for 6 samples are 2.005, 2.001, 1.998, 2.002, 1.995 and 1.999, is the process in control?
The upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.
Now let's check if the process is in control using the given sample means:
To determine the upper and lower control limits for the sample means, we can use the formula:
Upper Control Limit (UCL) = Mean + (Z * Standard Deviation / sqrt(n))
Lower Control Limit (LCL) = Mean - (Z * Standard Deviation / sqrt(n))
In this case, we want to include roughly 95.5 percent of the sample means, which corresponds to a two-sided confidence level of 0.955. To find the appropriate Z-value for this confidence level, we can refer to the standard normal distribution table or use a calculator.
For a two-sided confidence level of 0.955, the Z-value is approximately 1.96.
Given:
Mean = 2.0 litres
Standard Deviation = 0.01 litres
Sample size (n) = 5
Using the formula, we can calculate the upper and lower control limits:
UCL = 2.0 + (1.96 * 0.01 / sqrt(5))
LCL = 2.0 - (1.96 * 0.01 / sqrt(5))
Calculating the values:
UCL ≈ 2.0018 litres
LCL ≈ 1.9982 litres
Therefore, the upper control limit (UCL) is approximately 2.0018 litres, and the lower control limit (LCL) is approximately 1.9982 litres, which would include roughly 95.5 percent of the sample means.
Now let's check if the process is in control using the given sample means:
Mean of the sample means = (2.005 + 2.001 + 1.998 + 2.002 + 1.995 + 1.999) / 6 ≈ 1.9997
Since the mean of the sample means falls within the control limits (between UCL and LCL), we can conclude that the process is in control.
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Pls help Lila's mom is decorating her room and placed acircular rug near her window for story time.How much space does this rug take up if its diametermeasures 25 feet?
Step1: Write the area of the circular Rug
The area of the circle is
\(\Pi r^2\)From the question the diameter is 25feet, hence the radius is
\(\begin{gathered} \text{radius}=\frac{diameter}{2} \\ =\frac{25}{2} \end{gathered}\)Step2: substitute the value into the formula
\(\begin{gathered} \text{area of circular rug=area of a circle=}\Pi r^2 \\ =\frac{22}{7}\times\frac{25}{2}\times\frac{25}{2} \\ =\frac{13750}{28} \\ =491.07ft^2 \end{gathered}\)Hence the area of the circular rug is 491.07 square feet
The will take approximately 491square feetyou
find the area of the figure below:
Answer:
104 ft^2
Step-by-step explanation:
Answer:
104 ft²
Step-by-step explanation:
you can solve this multiple ways, one way is: find the area of the big rectangle and subtract from it the area of the small rectangle
big rectangle
A big = 8 * (5+6+5)= 8 * 16 = 128 ft²
small rectangle
Asmall = 4*6 = 24 ft²
area of the shape
Abig -Asmall = 128-24 = 104 ft²