Therefore, the width of the patio will be made up of 16 paving stones.
To determine the number of paving stones that will make up the width of the patio, we can find the square root of the total number of paving stones. In this case, Basil has 256 square paving stones. The square root of 256 is calculated by finding the number that, when multiplied by itself, equals 256. The square root of 256 is 16 because 16 multiplied by itself (16 x 16) equals 256. Therefore, if Basil arranges the paving stones in a square pattern, with each side having a length of 16, he will be able to form a patio width of 16 paving stones.
To determine the number of paving stones that will make up the width of the patio, we need to find the square root of the total number of paving stones.
Given that Basil has 256 square paving stones, the square root of 256 is:
√256 = 16
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please i don’t wanna fail just give me the right answer thanks<3
Answer:
number of photos: 8, 12, 20, 28, 40
time (minutes): 2, 3, 5, 7, 10
Step-by-step explanation:
Marlee has $100 and is going to buy tickets to a Fleet Foxes concert in Atlanta. She found two different websites selling tickets, Fony Front Seats and Best Tickets. If she buys a $20 ticket from Fony, there is a 60% chance the ticket is fake, but she won't know until she gets to the concert. If she buys a $60 ticket from Best Tickets, the ticket is certainly real. The placement of seats for the tickets are identical. It costs $10 in gas to get to the concert. Marlee's utility function is given by u(x)= x+k
, where k equals 100 if Marlee gets to go to the concert, 0 otherwise. (a) Does Marlee buy her ticket from Fony Front Seats or Best Tickets? Why?
The expected utility of Marlee with the ticket from Fony is 28.
The utility function of Marlee is given by u(x) = x+k. Here, k equals 100 if Marlee gets to go to the concert and equals 0 otherwise.
Marlee has $100 to buy tickets to the Fleet Foxes concert in Atlanta. She found two different websites selling tickets, Fony Front Seats and Best Tickets. If she buys a $20 ticket from Fony, there is a 60% chance that the ticket is fake, but she won't know until she gets to the concert.
If she buys a $60 ticket from Best Tickets, the ticket is certainly real. The seat placements for both tickets are identical and it costs $10 in gas to get to the concert.
Marlee's utility function is given as u(x) = x+k, where k equals 100 if Marlee gets to go to the concert and equals 0 otherwise. Her goal is to maximize her utility function.
Marlee is facing a trade-off between the cost of the ticket and the probability of getting a real ticket.
If she buys a $20 ticket from Fony, there is a 60% chance that the ticket is fake, but she won't know until she gets to the concert. Thus, there is a 40% chance that the ticket is real.
So, the expected utility of Marlee with the ticket from Fony is given by,
0.6u(0)+0.4u(100-20-10)=0.6(0)+(0.4)(70)=28
Therefore, the expected utility of Marlee with the ticket from Fony is 28. This indicates that Marlee will not be able to go to the concert if she buys the ticket from Fony Front Seats.
If she buys a $60 ticket from Best Tickets, the ticket is certainly real. Therefore, the expected utility of Marlee with the ticket from Best Tickets is,
u(100-60-10)=u(30)=30+100=130
Therefore, the expected utility of Marlee with the ticket from Best Tickets is 130.
This indicates that Marlee should buy the ticket from Best Tickets to get the maximum utility.
Therefore, Marlee should buy her ticket from Best Tickets because she will receive the maximum utility if she buys the ticket from Best Tickets.
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Expand and simplify no wrong answer or files or blank answers or reported
Answer:
-20t-18
Step-by-step explanation:
4t+6-24t-24
The perimeter of a rectangle is 36m. If the length is 12m, what is the area?
a professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11. students who made 59.99 or lower on the exam failed the course. what percent of students failed the course?
About 11.90% of students scored 59.99 or lower on the exam and failed the course (since this is a proportion, we can multiply it by 100 to get the percentage).
To determine the percentage of students who failed the course, we need to find the proportion of students who scored 59.99 or lower on the exam, and then convert this proportion to a percentage.
First, we need to standardize the cutoff score of 59.99 using the formula:
z = (x - μ) / σ
where x is the cutoff score, μ is the mean, and σ is the standard deviation.
Plugging in the values given in the question, we get:
z = (59.99 - 73) / 11 = -1.18
Next, we look up the proportion of scores below a z-score of -1.18 in a standard normal distribution table (or use a calculator or software). This proportion is approximately 0.1190.
Therefore, about 11.90% of students scored 59.99 or lower on the exam and failed the course (since this is a proportion, we can multiply it by 100 to get the percentage).
In other words, roughly 12% of the students failed the course based on the given criteria.
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Name: date:
lesson 12.01: a fraction of the fair
printable assessment: a fraction of the fair
a fraction of the fair
1. use a line plot to represent the data in the data set. be sure to include a title and label all tick marks.
2. what is the largest amount of snow that fell in one day?
3. what is the least amount of snow that fell in one day?
4. how many days did it snow 3 inches?
5. a new piece of data was recorded and added to the line plot. the dierence between the largest and
smallest amounts of snow is now 3. what could the new values of the data be?
This assessment focuses on using a line plot to represent a data set related to snowfall amounts. It requires determining the largest and smallest amounts of snow, counting occurrences of a specific value.
The new values of the data can vary depending on the original data set and the desired difference between the largest and smallest amounts of snow. Let's consider an example: If the original largest amount of snow was 10 inches and the smallest amount was 5 inches, and the new difference should be 3 inches, one possible combination could be increasing the largest amount to 12 inches and decreasing the smallest amount to 9 inches.
Alternatively, the largest amount could be decreased to 7 inches, while the smallest amount is decreased to 4 inches. These are just two examples, but there can be multiple valid combinations of new values that satisfy the given conditions. #
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please i need help asap!
Answer:
3
Step-by-step explanation:
3
find 9 f(x) dx 0 if f(x) = 7 for x < 7 x for x ≥ 7 .
The function is 130/2.
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. The usual way to refer to a function is as f(x), where x is the input. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.
According to question,
\(\int\limits^9_0 {f(x)} \, dx \\ \int\limits^7_0 {f(x)} \, dx+\int\limits^9_7 {f(x)} \, dx\\ \int\limits^7_0 {7} \, dx + \int\limits^9_7 {x} \, dx\\ (7x)^{7} _{0} + (\frac{x^{2} }{2})^{9} _{7}\)
7x7 - 7x0 + 81/4 - 49/4
49 + 32/2
130/2
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5/5
1.) The solution of a system of linear
equations is (4.2).
Draw two lines that could represent
this system of equations.
Answer:
Please give brainlliest thanks! :)
Jason has 48 muffins, which he needs to box up into dozens. How many boxes does he need?
g(x) = 6(x-1) find the inverse function
Answer:
let g(x)=y
y=6(x-1)
interchange the values of x and y
x=6(y-1)
Make y the subject
x=6y-6
x+6=6y
(x+6)/6=y
Explain what opposing position means.
Answer:
to fight against, counter, or resist strongly. to be hostile or antagonistic to; be against. to place or set in opposition; contrast or counterbalance. to place opposite or facing. to be or act in opposition
Answer:
Opposition (noun) The apparent relative of 2 celestial bodies when one is at angle of 180 degrees from the other as seen from the earth
For cones with radius 6 units, the equation =12ℎ V = 12 π h =12ℎ V = 12 π h relates the height ℎ h ℎ h of the cone, in units, and the volume V V of the cone, in cubic units.
Answer:
Step-by-step explanation:
The question is not properly structured. Here is the complete question.
For cones with radius 6 units, the equation V=12\pi h relates the height h of the cone, in units, and the volume V of the cone, in cubic units. Sketch a graph of this equation on the axes.
The formula for calculating the volume of a cone is expressed as shown;
\(V = \frac{1}{3} \pi r^{2} h\) where r is the radius and h is the height.
Given radius r = 6units, on substituting;
\(V = \frac{1}{3}*\pi *6^{2}*h\\ V = \frac{36\pi h}{3}\\V = 12\pi h... (1)\)
It can be seen from the derived volume of the cone that it is linear in nature. The volume of the cone has a linear relationship with its height. As the volume increases, the height also increases and vice versa.
Generally for a direct variation
\(if\ y\ \alpha x \ \\y = kx\)
where k is the constant of proportionality. comparing to equation 1, k = 12π.
Find the graph attached
many researches do not explicitly refer to significance levels. Instead, they simply obtain the P value and use it (or let the reader use it) to assess the ______ of the evidence against the _____ hypothesis
Many researchers do not explicitly refer to significance levels. Instead, they simply obtain the P value and use it (or let the reader use it) to assess the strength of the evidence against the null hypothesis.
In statistical hypothesis testing, the null hypothesis is the default or initial assumption that there is no relationship or difference between two or more groups being compared.
The goal of hypothesis testing is to determine whether the evidence in the sample provides enough evidence to reject the null hypothesis and support the alternative hypothesis.
This decision is made based on the significance level, which is the probability of rejecting the null hypothesis when it is actually true.
The significance level is typically set at 0.05 (or 5%), which means that there is a 5% chance of rejecting the null hypothesis even if it is true.
Instead of reporting a significance level, some researchers report the P value, which is the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming that the null hypothesis is true.
If the P value is less than the significance level, then the null hypothesis is rejected, and the results are considered statistically significant. If the P value is greater than the significance level, then the null hypothesis is not rejected, and the results are considered not statistically significant.
Therefore, the P value can be used to assess the strength of the evidence against the null hypothesis, without explicitly referring to a significance level.
The smaller the P value, the stronger the evidence against the null hypothesis, and the more likely it is that the alternative hypothesis is true.
The larger the P value, the weaker the evidence against the null hypothesis, and the less likely it is that the alternative hypothesis is true.
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Many researchers do no longer explicitly refer to importance levels. Instead, they virtually achieve the P fee and use it (or let the reader use it) to determine the power of the proof in opposition to the null hypothesis.
In statistical speculation testing, the null speculation is the default or preliminary assumption that there is no relationship or distinction between two or extra businesses being compared.
The purpose of speculation checking out is to decide whether or not the proof in the pattern gives ample proof to reject the null hypothesis and help the choice hypothesis.
This choice is made primarily based on the magnitude level, which is the chance of rejecting the null speculation when it is in reality true.
The importance degree is normally set at 0.05 (or 5%), which capability that there is a 5% risk of rejecting the null speculation even if it is true.
Instead of reporting a magnitude level, some researchers file the P value, which is the chance of acquiring a check statistic as severe or greater severe than the one observed, assuming that the null speculation is true.
If the P fee is much less than the magnitude level, then the null speculation is rejected, and the consequences are viewed statistically significant.
If the P cost is larger than the importance level, then the null speculation is now not rejected, and the consequences are regarded no longer statistically significant.
Therefore, the P price can be used to verify the electricity of the proof towards the null hypothesis, besides explicitly referring to a magnitude level.
The smaller the P value, the better the proof towards the null hypothesis, and the extra possibly it is that the choice speculation is true.
The large the P value, the weaker the proof in opposition to the null hypothesis, and the much less in all likelihood it is that the choice speculation is true.
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Need help with Trig fast
Given:
A figure of a right angle triangle.
To find:
The value of Tan R.
Solution:
Trigonometric Ratio: In a right angle triangle,
\(\tan \theta =\dfrac{Perpendicular}{Base}\)
Using the above trigonometric ratio in the given triangle, we get
\(Tan R =\dfrac{AD}{AR}\)
\(Tan R =\dfrac{13}{17}\)
Therefore, the correct option is C.
find an equation of the ellipse having a major axis of length and foci at (7, - 1) and (1, - 1) .
The center of the ellipse is the midpoint between the two foci, which is ((7+1)/2, -1) = (4,-1). The distance from the center to each focus is 3, which is half the length of the major axis.
Therefore, the distance from the center to each vertex is sqrt(5), and the length of the minor axis is 2sqrt(5). Using the standard form of the equation of an ellipse with center at (h,k), major axis of length 2a, and minor axis of length 2b, we have:
(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1
Plugging in the given information, we get:
(x - 4)^2 / 3^2 + (y + 1)^2 / (sqrt(5))^2 = 1
Simplifying, we get:
(x - 4)^2 / 9 + (y + 1)^2 / 5 = 1
Therefore, the equation of the ellipse is (x - 4)^2 / 9 + (y + 1)^2 / 5 = 1.
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Leon has already run 1 mile on his own, and he expects to run 3 miles during each track practice. Write an equation that shows the relationship between the practices p and the distance d.
Answer:
d = 1 + 3p
Step-by-step explanation:
Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.
For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.
Therefore, the relationship between the practices p and the distance d can be expressed as follows.
number of track practice = p
distance covered = d
The distance covered d in miles is 1 miles plus the number of track practice p multiply by 3
d = 1 + 3p
A garden designer designed a square decorative pool. The pool is surrounded by a walkway.On two opposite sides of the pool, the walkway is 8 ft. On the opposite sides, the walkway is 10 ft. The final design for the pool and walkway covers a total area of 1400 square ft.
Note that the pool is in the shape of square with each of its four sides measuring 'x' units.
(a)
So the total length of the rectangular system is given by,
\(\begin{gathered} L=x+10+10 \\ L=x+20 \end{gathered}\)Thus, the total length of the rectangle is (x+20) units.
(b)
Similarly the total width of the rectangular system is given by,
\(\begin{gathered} W=x+8+8 \\ W=x+16 \end{gathered}\)Thus, the total width of the rectangle is (x+16) units.
(c)
Consider that the area of the rectangular area is calculated as,
\(\text{Area}=\text{Length}\times\text{ Width}\)Substitute the values,
\(\begin{gathered} A=(x+20)(x+16) \\ A=x(x+16)+20(x+16) \\ A=x^2+16x+20x+20\times16 \\ A=x^2+36x+320 \end{gathered}\)Thus, the above expression gives the area of the given rectangle.
HELP ASAP PLEASE.
a) according to the map on the left, Central Park is about 50 blocks long by 9 blocks wide. what is the approximate area of the park? show your work.
b)lets say the area of the map is 21 square inches. you want to make q enlarged map of central park to take with you on your journey. describe how you can determine the area of the the enlarged map.
c)supposed the scale factor you will ise to enlarge the map is 5:1. what is the approximate area of the park of the park in your enlarged drawing.
d) how did you apply proportional reasoning as you worked through these problems?
Answer:
pls give brainlist
Step-by-step explanation:
a. \(\frac{50 blocks (L)}{9 blocks(W)\\}\) 50 x 9 = 450. A=450
b. I can scale the unit rate of the area given above and largen the area of the map. Ex. \(\frac{7}{3}\)=\(\frac{21}{6}\) <---(scaled by 2)
Then we can enlarge it however we want so,
\(\frac{21}{6}\) = \(\frac{42}{12}\) <--(scaled by 2 once more)
If the statement above is true then we can scale times 4.
\(\frac{7}{3}\)= \(\frac{42}{12}\\\) <---(scaled by 4)
A= \(\frac{42}{12\\}\)
all i can give u at the moment , if u go on M a t h w a y it can help
Answer:
for them to get brainliest <3
Step-by-step explanation:
I need help i don't understand/
Answer:
1. A
2. C
Step-by-step explanation:
If they are corresponding, so their angle measures are the same. Hope this helps. :)
Answer:
1) 1 and 6
2) 110. these are corresponding angles so they are congruent
Step-by-step explanation:
Ecological correlation is correlations based on rates or averages, often used in political science or sociology, that tend to over-state the strength of an association. True/False?
It is true, as The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.
what is correlation?Correlations describe the connections between different variables. Strong, weak, positive, or negative expressions are all possible. 1 = Causation need not always follow from correlation. A statistical measure of the linear relationship between two variables is called correlation (that is, do they change at a constant rate). Without defining cause and effect, this is a common method for illustrating straightforward connections. To illustrate the connection between two quantitative variables, statistical language employs correlation. Additionally, we consider that this connection is linear. In other words, when one variable changes by a given amount, the other variable also changes by a fixed amount, but only by one unit.
The term "ecological correlation" refers to correlations based on rates or averages that frequently appear in political science or sociology and tend to exaggerate the significance of a link.
So, it is true.
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Show your solutions.
1. )A payphone service charges $5. 00 for the first three minutes and $1. 00 for every minute additional or fraction thereof. How much will a caller have to pay if his call lasts for 8 minutes?
2. ) A jeepney passenger is charged $7. 50 for the first 4km and an additional $1. 25 per succeeding kilometers as fare. What is the cost of a 30km ride?
3. ) A private parking garage changes $100. 00 for the first three hours plus $35. 00 for each additional hour. Find the cost of parking for one whole day?
PLEASE! SHOW ME A SOLUTION.
Answer:
Step-by-step explanation:
1) $5 + (8 min - 3 min)($1/min) = $5 + $5 = $10
2) $7.50 + (30 km - 4 km)($1.25/km) = $7.50 + $32.50 = $40
3) $100 + (24 hr - 3 hr)($35/hr) = $100 + $735 = $835
#7. Suppose the amount of a popular sport drink in bottles leaving the filling machine has anormal distribution with mean 100,5 milliliters (ml) and standard deviation 1.5. If 35 bottles arerandomly selected, find the probability that the mean content is less than 102.1 mL
Apply z-score
Given data
\(\begin{gathered} \operatorname{mean}\text{ }\mu\text{ = 100.5} \\ \text{Standard deviation }\sigma\text{ = 1.5} \\ x\text{ = 102.1} \end{gathered}\)Here, we use the normal distribution formula below to calculate the answer.
\(\begin{gathered} z\text{ = }\frac{x\text{ - }\mu}{\sigma} \\ \text{Next, substitute the values of }\sigma,\text{ }\mu\text{ and x.} \end{gathered}\)\(\begin{gathered} z\text{ = }\frac{102.1\text{ - 100.5}}{1.5} \\ z\text{ = }\frac{1.6}{1.5} \\ z\text{ = 1.067} \end{gathered}\)Next, use the normal distribution table to find probability.
From the normal distribution table,
The probability that the mean content is less than 102.1 mL = 0.3554
Final answer = 0.3554
Stephanie throws a paper airplane off the roof of her school. Her classmates measure the plane’s height, in feet, after each second. The table shows some of her data.
T= 0, 1, 2, 3, 4
h(t)= 200, 208, 212, 212, 208
Find the equation for h(t), and use it to determine how long it will take the plane to hit the ground. Round to the nearest hundredth
The paper airplane will not hit the ground within the given time frame.
To find the equation for h( t), we need to find the rate of change or the pitch of the function. We can do this by chancing the difference in height and time for any two points on the line. Let's choose the first two points,( 0,200) and( 1,208).
pitch = ( change in height)/( change in time)
pitch = ( 208- 200)/( 1- 0) = 8
So, the equation for h( t) can be written in pitch- intercept form as h( t) = 8t b
To find the value of b, we can use any of the given points.
Let's use( 0,200) 200 = 8( 0) b b = 200
So, the equation for h( t) is h( t) = 8t 200
To find how long it'll take the aeroplane to hit the ground, we need to find when h( t) = 0,
since that would mean the height is 0 bases or the ground position. 0 = 8t 200 working for t,
we get t = -25
Since time cannot be negative the paper airplane will not hit the ground within the given time frame.
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Gayle bought a shirt that was originally marked as $18. She had a coupon to receive 15% off the price. Gayle
had to pay 7. 5% sales tax on her shirt. What price did Gayle pay for the shirt?
sssssssssaStep-by-step explanation:
Please advise, much appreciated.
Need this quick!!!
Which graph shows an exponential function that nears a constant value as x approaches positive infinity and has a y-intercept at (0,3)?
A function assigns the values. The correct option is graph X.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function which is giving a constant term is the graph on the right, while the function where the value of x increases to positive infinity is the upper graph.
Hence, the correct option is graph X.
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last question please som1
Answer:
898/8×41=4602.5
Step-by-step explanation:
I HOPE THIS WILL HELP YOU KEEP WORK HARD FOR STUDIES
Solve the inequality below for x.
10r - 5 < 4r – 53
Answer:
r < −8
I hope this helps!
(Unit 2) What makes the results of a study statistically significant?
The difference between groups and the sample size makes the results of a study statistically significant.
Statistical significance is a measure of the likelihood that the results of a study are not due to chance. In order for a result to be statistically significant, it must meet two criteria:
The difference between groups must be large enough to be unlikely to occur by chance. This is typically assessed using a statistical test such as a t-test or an ANOVA.
The result of the test is expressed as a p-value, which represents the probability of obtaining the observed results if there were no true difference between groups. A p-value of less than 0.05 (or 5%) is generally considered to be statistically significant.
The sample size must be large enough to reduce the possibility of sampling error. A larger sample size generally increases the power of a study, making it more likely to detect a true effect.
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