Answer:
81%
Step-by-step explanation:
Because it is hard to compare percentage to fractions, we will first conevert 4/5 into a percentage. We get:
4/5 = 8/10 = 0.8 = 80%.
Comparing 81% to 80%, we can find out that 81% is greater than 4/5 or 81%.
What is the initial value of the function represented by this graph?
O 1
O 5
O 6
O 7
No links help
Rectangle X is 5 cm long and 3 cm wide. Rectangle Y is similar to Rectangle X. What could be the dimensions of
Rectangle Y?
A)10 cm long and 8 cm wide
B)15 cm long and 9 cm wide
C) 15 cm long and 13 cm wide
D)10 cm long and 3 cm wide
write the expression useing exponents 4×4×4×4
Jeremy wants to buy a backpack that costs $65. Luckily, the store is having a 35% off sale. What will be the sale price of the backpack?
A)$22.75
B)$42.25
C) $87.75
D) $30
Answer:
B.$42.25
Step-by-step explanation:
I I think that's the answer
If Joey worked for himself and called his company "Joey's Construction Company" and made $25,000 per year, how much would he pay per year in total Social Security and Medicare tax?
A. $3,182.40
B. $1,163.00
C. $1,591.20
D. $3,825.00
Joey could need to pay $3,825.00 per year in total Social security and Medicare tax if he operates his personal construction company as a self-employed individual. Therefore Option D is correct.
If Joey is self-employed and operates his personal construction organization, he would need to pay both the employee and organization portions of the Social safety and Medicare taxes. those taxes are together referred to as self-employment taxes.
The current self-employment tax charge for Social security is 12.4% on profits up to $142,800 (as of 2021) and the price for Medicare is two.9% and not using a earnings limit.
But, for the reason that Joey is each the worker and the employer, he might need to pay both portions, resulting in a total self-employment tax rate of 15.3%.
To calculate the full amount of Social security and Medicare tax that Joey would pay, we can multiply his profits of $25,000 via the self-employment tax fee of 15.3%:
$25,000 x 0.153 = $3,825.00
Therefore, Joey could need to pay $3,825.00 per year in total Social security and Medicare tax.
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Ticket sales for Six Flags White Water totaled $94,520 this summer. Tickets for the water park cost $17 each. How many tickets were sold?
The number of tickets that will be sold is 5560.
What is division?
A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.
Ticket sales for Six Flags White Water totaled $94,520 this summer.
Tickets for the water park cost $17 each.
The number of tickets sold will be = 94520/17 = 5560.
Hence, the number of tickets that will be sold is 5560.
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Use SSS to explain why the triangles in each pair are congruent.
The order in which the sides are listed does not matter for the SSS criterion. As long as the three sides of one triangle have the same lengths as the three sides of another triangle, the triangles are congruent.
SSS stands for Side-Side-Side, which is a congruence criterion in geometry. It states that if the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.
To explain why the triangles in each pair are congruent using SSS:
Pair 1:
Triangle ABC and Triangle DEF are congruent because they have the same lengths for all three sides.
AB = DE
BC = EF
AC = DF
Pair 2:
Triangle PQR and Triangle STU are congruent because they have the same lengths for all three sides.
PQ = ST
QR = TU
PR = SU
The order in which the sides are listed does not matter for the SSS criterion. As long as the three sides of one triangle have the same lengths as the three sides of another triangle, the triangles are congruent.
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5 increased by the product of 2 and t
Answer:
Step-by-step explanation:
increased means add.
5 + 2*t
KHAN ACADEMY LESSON HELP ME : Two-step inequality word problems
Answer: d> 5 1/2
Step-by-step explanation:
34 + (12 × d) > 100
34 + 12d > 100
12d > 100 - 34
12d > 66
d > 66 / 12
d > 5 1/2 days
Therefore, the number of days, (d), it will take Katie to collect over 100 seashells is 5 1/2 days.
find the mean and median of each of the following sets of data. determine the deviation from the mean for each data point within the sets and find the mean deviation for each set. 24.49 24.68 24.77 24.83 24.73
The average distance from the mean is 0.09.
The mean is also known as the average and is calculated by adding up all the values in the set and then dividing the sum by the total number of values.
So, for the given set of data: 24.49, 24.68, 24.77, 24.83, 24.73, the mean would be calculated as follows:
Mean = (24.49 + 24.68 + 24.77 + 24.83 + 24.73) / 5
= 24.70
It tells us what the typical value is within the data set. In this case, the mean value of the data set is 24.70.
Next, let's find the median of the set of data. The median is the middle value of a data set when it is arranged in numerical order. In this case, the data set is already arranged in numerical order, so we can easily find the median.
The median value of the data set is the middle value, which is 24.77.
Now, we will calculate the deviation from the mean for each data point within the set. The deviation from the mean tells us how far each value is from the mean value. This is calculated by subtracting the mean from each value in the set.
Deviation from the mean for each data point:
-0.21, -0.02, 0.07, 0.13, 0.03
As you can see, some values are above the mean, and some are below the mean. The deviation from the mean can be used to determine how spread out the data is from the mean value.
Finally, we will calculate the mean deviation for the set. The mean deviation is the average of the absolute values of the deviation from the mean.
Mean deviation = (|(-0.21)| + |(-0.02)| + |0.07| + |0.13| + |0.03|) / 5
= 0.09
The mean deviation tells us the average distance from the mean value.
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In the figure below, find the exact value of x. (Do not approximate your answer.)
Triangle ADC also has a right angle at D, making it a right-angled triangle.
The exact value of x be 2.25.
What is meant by "Pythagoras Theorem"?The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.
Triangle ADB exists even a right-angled triangle with right-angle at D.
Therefore, Base of Triangle ADB = BD = 4,
Height of Triangle ADB = AD = 3,
Hypotenuse of Triangle ADB = AB
Using the Pythagoras Theorem, we get,
\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)
substitute the values in the above equation, we get
or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)
simplifying the equation, we get
or, \($(A B)^2=[9+16]$\)
or, \($(A B)^2=25$\)
or, \($\sqrt{(A B)^2}=\sqrt{25}$\)
or, AB = 25
Triangle ADC is also a right-angled triangle with right-angle at D.
Therefore, Base of Triangle ADC = DC = x
Height of Triangle ADC = AD = 3,
And, Hypotenuse of Triangle ADC = AC
Using the Pythagoras Theorem, we get,
\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)
simplifying the equation, we get
\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)
\(& \text { or },(A C)^2=\left[9+x^2\right]\)
Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,
Height of Triangle ABC = AB = 5,
And, Hypotenuse of Triangle ABC = BC = (4 + x)
Using the Pythagoras Theorem, we get,
\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)
\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)
substitute the values in the above equation, we get
\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)
simplifying the equation, we get
\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)
\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)
\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)
8x - 18 = 0
8x = 18
\(& \text { or, } x=\frac{18}{8} \\\)
\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)
\(& \text { or, } x=\frac{9}{4} \\\)
Therefore, the value of x be 2.25.
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A soccer goal should be centered in a penalty area. The penalty area is 17 yards wide. The goal is 7 yards wide. How many yards (x) should be on each side of the goal?
Answer:
17/7=2.42(approximately) should be on each side of the goal
In a lottery game, a player picks six numbers from 1 to 28. If the player matches all six numbers, they win 20,000 dollars. Otherwise, they lose $1.
What is the expected value of this game?
Answer:
There are 23C6 ways to pick 6 numbers from 23; the probability of any particular one is just shy of 1/100000.
There are 23C6 ways to pick 6 numbers from 23; the probability of any particular one is just shy of 1/100000.Thus the expectation for winning is about $0.30 and losing very close to $1...the t total expectation is about -$0.70.
There are 23C6 ways to pick 6 numbers from 23; the probability of any particular one is just shy of 1/100000.Thus the expectation for winning is about $0.30 and losing very close to $1...the t total expectation is about -$0.70.You can calculate the exact number by using the exact probability of picking the winning number stated in the first line of this answer.
Step-by-step explanation:
I hope it's helpful
Interpretation: On average, we lose about 95 cents each time we play the game.
This is not a fair game because the expected value is not 0.
=============================================================
Explanation:
There is only one way to win the game which is to match all the numbers.
This is out of 376,740 different ways to select 6 items from a pool of 28. The steps on how to get this value are shown below
\(_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{28} C _{6} = \frac{28!}{6!*(28-6)!}\\\\_{28} C _{6} = \frac{28!}{6!*22!}\\\\_{28} C _{6} = \frac{28*27*26*25*24*23*22!}{6!*22!}\\\\_{28} C _{6} = \frac{28*27*26*25*24*23}{6!}\\\\_{28} C _{6} = \frac{28*27*26*25*24*23}{6*5*4*3*2*1}\\\\_{28} C _{6} = \frac{271,252,800}{720}\\\\_{28} C _{6} = 376,740\\\\\)
I used the nCr combination formula. n = 28 is the pool size and r = 6 is the sample size.
Therefore, the probability of winning is 1/376740 and the probability of losing is 1-1/(376740) = 376739/376740
Multiply the odds found by each corresponding net winnings
Win: (1/376740)*(20,000) = 0.05308700960874
Lose: (376739/376740)*(-1) = -0.99999734564951
Then add up those results
0.05308700960874 + (-0.99999734564951) = -0.94691033604078
Rounding to the nearest cent, we get -0.95
The expected value is -0.95
We expect to lose, on average, 95 cents every time we play the game. The game is considered not fair because the expected value is not 0. The game is in favor of the lotto company.
what is between fractions 6/6 and 6/7
The fraction 13/7 lies between the fractions 6/6 and 6/7.
We have,
Between the fractions 6/6 and 6/7, there are infinitely many fractions.
To find a fraction that lies between these two fractions, we can take their average.
The fraction 6/6 simplifies to 1, and the fraction 6/7 cannot be simplified further.
To find the average, we add the two fractions and divide the sum by 2:
(6/6 + 6/7) / 2
To add the fractions, we need a common denominator, which is the least common multiple (LCM) of 6 and 7, which is 42.
Converting the fractions to have a common denominator:
(6/6) x (7/7) + (6/7) x (6/6) / 2
Simplifying the expression:
(42/42 + 36/42) / 2
Combining the numerators:
(78/42) / 2
Dividing:
78/42 = 13/7
Thus,
The fraction 13/7 lies between the fractions 6/6 and 6/7.
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What is the exact value of sin pi/3?
The exact value of sin(pi/3) is √3. By definition, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, sin(pi/3) = √3/1 = √3.
The exact value of sin(pi/3) can be determined using trigonometric properties and identities.
First, we know that pi/3 is equivalent to 60 degrees. In a unit circle, the point corresponding to 60 degrees forms an equilateral triangle with the origin and the x-axis. This triangle has side lengths of 1, 1, and √3.
To find the sine of pi/3, we consider the side opposite the angle (pi/3) in the triangle. In this case, the opposite side has a length of √3. The hypotenuse of the triangle is 1, as it is the radius of the unit circle.
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In a survey of 2266 adults, 736 say they believe in UFOs. Construct a 90% confidence interval for the population proportion of adults who believe in UFOs. A 90% confidence interval for the population proportion is ( ?, ?).
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A.
With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
B.
The endpoints of the given confidence interval shows that 90% of adults believe in UFOs.
C.
With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
D.
With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
First, we calculate the sample proportion:
Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324
Next, we need to calculate the margin of error.
Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:
Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)
Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.
Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015
Finally, we can construct the confidence interval:
Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)
Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
Now, let's interpret the results.
The correct answer is:
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.
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I need help with these
Answer:
2. 20 oranges
3. 18 yellow tulips
4. 23 students
1+1
I am thankful to all who said no to me. It is because of them that I’m doing it myself.I am thankful to all who said no to me. It is because of them that I’m doing it myself.I am thankful to all who said no to me. It is because of them that I’m doing it myself and I will be there in about it and I will be there in about it and I will be there in about it and I will be there in about it and I will be there in about it and I will be there in about it and I will be there in about it and I will be .
Answer:
1+1= 2
umm r u ok
have a nice day <3
and is this right or do I change to it ?
¿De qué número 64 es el 80%?
Two functions are by f(x)=3x+18(x)= 2 x1. Find (g.f) (x).
The (g.f)(x) of the two functions is:
(g.f) (x) = 6x + 37
How to find (g.f)(x) of the two functions?A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
To find (g.f) (x), follow the steps below:
1. Substitute the value of f(x) into the function g(x).
2. Then simplify the expression.
That is:
f(x) = 3x+18
g(x) = 2x+1
Thus, we have:
(g.f) (x) = g(f(x))
(g.f) (x) = g(3x+18)
(g.f) (x) = 2(3x+18) + 1
(g.f) (x) = 6x+36 + 1
(g.f) (x) = 6x + 37
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What is the total surface area
Answer:
Step-by-step explanation:
Which of the following statements about the image below is true?
Answer:
d. Line UR and Line VW are parallel
Step-by-step explanation:
If they were to continue going straight, they would not touch, making them parallel.
I hope this helps!
what steps are needed to find the equation of a line given the graph?
The equation of the line is y = x.
To find the equation of a line given its graph, you need to follow the steps below.
Step 1: Determine the slope of the line.The slope of the line can be determined using the formula: slope = rise/run or m = Δy/Δx. Rise is the change in the y-coordinates and run is the change in the x-coordinates.
Step 2: Determine the y-intercept of the line.The y-intercept is the point where the line intersects the y-axis. You can determine the y-intercept by looking at the point where the line crosses the y-axis on the graph. The y-intercept is denoted by the letter b.
Step 3: Write the equation of the lineThe equation of the line can be written in slope-intercept form, which is y = mx + b. The slope (m) and y-intercept (b) that were determined in steps 1 and 2 are used to substitute into this equation. Thus, the equation of the line becomes y = slope(x) + y-intercept.
Example:Let's say you are given the graph of a line below: .
Step 1: Determine the slope of the line.To determine the slope of the line, you need to choose two points on the line and calculate the rise and run. Let's choose the points (2, 1) and (4, 3). The rise is 2 (3 - 1) and the run is 2 (4 - 2). Therefore, the slope of the line is: m = 2/2 = 1.
Step 2: Determine the y-intercept of the lineThe line crosses the y-axis at the point (0, 0). Therefore, the y-intercept of the line is b = 0.
Step 3: Write the equation of the line.The equation of the line in slope-intercept form is y = mx + b. Substituting the slope and y-intercept into this equation gives: y = 1x + 0 or y = x.
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how oes the relationship between logarithms and exponential functions help us find solutions
The relationship between logarithms and exponential functions is fundamental and provides a powerful tool for finding solutions in various mathematical and scientific contexts.
Logarithms are the inverse functions of exponential functions. They allow us to solve equations and manipulate exponential expressions in a more manageable way. By taking the logarithm of both sides of an exponential equation, we can convert it into a linear equation, which is often easier to solve.
One of the key properties of logarithms is the ability to condense multiplication and division operations into addition and subtraction operations. For example, the logarithm of a product is equal to the sum of the logarithms, and the logarithm of a quotient is equal to the difference of the logarithms.
Logarithms also help us solve equations involving exponential growth or decay. By taking the logarithm of both sides of an exponential growth or decay equation, we can isolate the exponent and solve for the unknown variable.
This is particularly useful in fields such as finance, population modeling, and radioactive decay, where exponential functions are commonly used.
Furthermore, logarithms provide a way to express very large or very small numbers in a more manageable form. The logarithmic scale allows us to compress a wide range of values into a smaller range, making it easier to analyze and compare data.
In summary, the relationship between logarithms and exponential functions enables us to simplify and solve equations involving exponential expressions, model exponential growth or decay, and manipulate large or small numbers more effectively.
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Let (f)=^2−3 and (g)=5−x^2
(f+g)(7)=
(f−g)(7)=
(fg)(7)=
(f/g)(7)=
Answer:the answer is d
Step-by-step explanation: it a d bc i know
Explica que procedimiento se tiene que hacer primero para hallar la solución de la expresión: 8 - 6 ÷ 3 x 7 + 2
Answer:
dividir
Step-by-step explanation:
PEMDAS
you must Divide first, since its's left most
Write an explicit formula for a_na
n
, the n^{\text{th}}n
th
term of the sequence 8, 2, -4, ...8,2,−4,....
\(8~~,~~\stackrel{8-6}{2}~~,~~\stackrel{2-6}{-4}~~,~~....~\hspace{10em}\stackrel{\textit{common difference}}{d=-6} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\stackrel{\textit{first term}}{8}\\ d=\stackrel{\textit{common difference}}{-6} \end{cases} \\\\\\ a_n=8+(n-1)(-6)\implies a_n=8+(-6n+6)\implies a_n=14-6n\)
a company uses 6000 gallons of water each month. If they reduce their monthly water used by 12%, how much water will be saved each month?
A restaurant makes smoothies in batches of 12.5 litres.
The smoothies are made from ice cream and a mixed fruit
juice in the ratio 3 : 2.
34% of the juice is apple juice.
Work out the maximum number of batches of smoothie that
can be made from 51 litres of apple juice.
Answer: If 34% of the mixed fruit juice is apple juice, then 66% of it is a combination of other fruit juices. We can assume that the ratio of apple juice to other fruit juices remains the same in the ice cream and mixed fruit juice mixture.
Let the volume of ice cream in each batch be 3x litres and the volume of mixed fruit juice be 2x litres. Then the total volume of mixture in each batch is 5x litres.
If 34% of the mixed fruit juice is apple juice, then the volume of apple juice in each batch is 0.34 × 2x = 0.68x litres. The volume of other fruit juices in each batch is 2x − 0.68x = 1.32x litres.
The ratio of ice cream to mixed fruit juice is 3 : 2, so we have:
3x : 2x = ice cream : mixed fruit juice
Simplifying, we get:
ice cream = 1.5 × mixed fruit juice
Substituting the values we obtained earlier, we have:
3x = 1.5 × 2x
x = 0.75
Therefore, the volume of ice cream in each batch is 3x = 2.25 litres, and the volume of mixed fruit juice is 2x = 1.5 litres.
To make 1.5 litres of mixed fruit juice, we need 0.68 litres of apple juice and 0.82 litres of other fruit juices.
To make 12.5 litres of smoothies, we need 2.25 litres of ice cream and 10.25 litres of mixed fruit juice. Of this, 0.68 litres is apple juice and 9.57 litres is other fruit juices.
Therefore, to make 12.5 litres of smoothies, we need 0.68/1.5 × 12.5 = 5.67 litres of apple juice.
To make 51 litres of apple juice, we can make a maximum of 51/5.67 ≈ 9 batches of smoothies.