Answers
Answer:
a) Area = 144, so Side length = √144 = 12
b) Area = 96, so Side length = √96 = 4√6
= sqrt96
c) Area = 36, so Side length = √36 = 6
d) Area = 35, so Side length = √35
= sqrt35
Related Questions
747.748 + 848.398 + 8,327.82 =
Answers
Answer:
Answer: 9,924.966.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sorry it is hard to explain the process by typing!
Pearl writes down seven consecutive integers, and adds them up. The sum of the integers is equal to 21 times the largest of the seven integers. What is the smallest integer that Pearl wrote down?
Answers
Answer: The sum of the integers is equal to $\frac{14}{3}$ times the largest of the seven integers. What is the smallest integer that pearl wrote down?.
Step-by-step explanation:
Using the interactive tool, select the Market Research data and request a sample size of 41. Request a plot of the Age variable. a. With Overall Mean selected, what is the length of the first dotted line shown at the top of the chart? (Hint: Use the Show Data button in the calculations window.) (Report two decimal places. Do not include a negative sign.)
Answers
The interactive tool provided a sample size of 41 and a plot of the Age variable. The three dotted lines shown at the top of the chart had lengths of 23.39, 23.28, and 24.17 respectively.
What is length?Length is a concept used to describe the magnitude of a particular object or distance between two points. It is typically measured in units such as feet, inches, meters, miles, and kilometers. Length is often used to describe the size of an object and the distance between two points. Length can also be used to measure the time required to travel between two points. Length is a fundamental concept in mathematics, physics, and engineering.
The first dotted line shown at the top of the chart is 23.39.
b. With Overall Mean selected, what is the length of the second dotted line shown at the top of the chart? (Hint: Use the Show Data button in the calculations window.) (Report two decimal places. Do not include a negative sign.)
The second dotted line shown at the top of the chart is 23.28.
c. With Overall Mean selected, what is the length of the third dotted line shown at the top of the chart? (Hint: Use the Show Data button in the calculations window.) (Report two decimal places. Do not include a negative sign.)
The third dotted line shown at the top of the chart is 24.17.
Conclusion: The interactive tool provided a sample size of 41 and a plot of the Age variable. The three dotted lines shown at the top of the chart had lengths of 23.39, 23.28, and 24.17 respectively. This data can be used to analyze the age of respondents in Market Research.
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Given Z find |Z| please help
Answers
Answer:
|Z| = √((-6)^2 + 12^2) = √(36 + 144) = √180
= (√36)(√5) = 6√5
i need help on this equation
Answers
[tex]{\Large \begin{array}{llll} \cfrac{x^{-\frac{1}{2}}}{x^{\frac{2}{3}}x^{\frac{3}{2}}}\implies \cfrac{1}{x^{\frac{2}{3}}x^{\frac{3}{2}}x^{\frac{1}{2}}}\implies \cfrac{1}{x^{\frac{2}{3}+\frac{3}{2}+\frac{1}{2}}}\implies \cfrac{1}{x^{\frac{2}{3}+2}}\implies \cfrac{1}{x^{\frac{8}{3}}} \end{array}}[/tex]
In your class, 10 out of 19 students have a job.
Task 1: Obtain a point estimate for the proportion of GSU students who have a job.
Task 2: What conditions must be met to create a confidence interval for the proportion of GSU students
who have a job? Are they met? (There are 5776 students enrolled at GSU).
Task 3: Regardless of your previous answer, create a 95% confidence interval for the proportion of GSU
students who have a job.
Task 4: Regardless of your previous answer, create a 99% confidence interval for the proportion of GSU
2
students who have a job.
Task 5: What sample size should be obtained if you want to be within 3 percentage points using your
estimate from the class data?
Task 6: What sample size should be obtained if you want to be within 3 percentage points using no prior
estimate
Answers
a) Point estimate = 10/19 = 0.526
b) The sample should be randomly selected from the population.
The sample size should be large enough such that both np and n(1-p) are greater than or equal to 10, where n is the sample size and p is the proportion of students who have a job in the population.
The sampling distribution of the sample proportion should be approximately normal.
c) confidence interval = (0.259, 0.793)
d) confidence interval = (0.176, 0.876)
e) n = 365 students
Given data ,
a)
The point estimate for the proportion of GSU students who have a job is simply the proportion of students in the class who have a job, which is:
point estimate = 10/19 = 0.526 (rounded to three decimal places)
b)
To create a confidence interval for the proportion of GSU students who have a job, the following conditions must be met:
The sample should be randomly selected from the population.
The sample size should be large enough such that both np and n(1-p) are greater than or equal to 10, where n is the sample size and p is the proportion of students who have a job in the population.
The sampling distribution of the sample proportion should be approximately normal.
c)
Assuming the conditions for a confidence interval are met, a 95% confidence interval for the proportion of GSU students who have a job can be calculated as follows:
margin of error = z√(p(1-p)/n)
where z is the z-score corresponding to a 95% confidence level (z = 1.96), p is the point estimate of the population proportion (0.526), and n is the sample size (19).
margin of error = 1.96 √(0.5260.474/19) = 0.267 (rounded to three decimal places)
confidence interval = point estimate ± margin of error = 0.526 ± 0.267
confidence interval = (0.259, 0.793)
Therefore, we can say with 95% confidence that the true proportion of GSU students who have a job is between 0.259 and 0.793.
d)
A 99% confidence interval for the proportion of GSU students who have a job can be calculated using the same formula as above, but with a z-score of 2.576 (corresponding to a 99% confidence level):
margin of error = 2.576sqrt(0.5260.474/19) = 0.350 (rounded to three decimal places)
confidence interval = 0.526 ± 0.350
confidence interval = (0.176, 0.876)
Therefore, we can say with 99% confidence that the true proportion of GSU students who have a job is between 0.176 and 0.876.
e)
To determine the sample size needed to be within 3 percentage points of the true proportion with the point estimate of 0.526, we can use the formula:
n = (z² * p * (1-p)) / E²
where z is the z-score corresponding to the desired confidence level (z = 1.96 for a 95% confidence level), p is the point estimate of the population proportion (0.526), and E is the desired margin of error (0.03).
n = (1.96^2 * 0.526 * 0.474) / 0.03^2
n = 364.16
Hence , we would need a sample size of at least 365 students to be within 3 percentage points of the true proportion using the point estimate from the class data.
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Which of the following equations describes the nth term for the sequence
Answers
The nth term of the sequence 4/5, 1/5, 1/20. 1/80..... is an = 4/5(1/4)^(n - 1)
How to determine the value of tthe nth term of the sequence?The definition of the function is given as
4/5, 1/5, 1/20. 1/80.....
The above definitions imply that we simply multiply 1/4 to the previous term to get the current term
Using the above as a guide, we have
First term, a = 4/5
Ratio, r = 1/4
So, we have the following equation
an = 4/5(1/4)^(n - 1)
Hence, the value of the nth term is an = 4/5(1/4)^(n - 1)
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Ceci was feeding her guinea pig fluffles 30 grams of food each day and she needs to reduce the food by 15%. How many grams of food should Fluffles get each day?
Answers
Ceci should give Fluffles 26 grams of food each day after the 15% reduction.
Given that the original amount of food: 30 grams/day
Now, calculate the 15% reduction:
30 grams/day x 0.15 = 4.5 grams/day
Subtract the reduction from the original amount:
30 grams/day - 4.5 grams/day = 25.5 grams/day
Round the answer to the nearest gram:
25.5 grams/day ≈ 26 grams/day
Thus, she should give Fluffles 26 grams of food each day after the 15% reduction.
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Rick wants to determine if there is a correlation between the age and the cost of a used car.
What can be interpreted from this data?
Answers
There is no correlation between age and the cost of a used car
What can be interpreted from the scatter plotFrom the question, we have the following parameters that can be used in our computation:
The scatter plot
Where
x = Age
y = cost of used car
From the graph, we can see that
The points on the graph are scattered and they do not follow a definite pattern
This means that the scatter plot shows no correlation
And as such the correct option is (d)
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A factory worker can make 15 products in 45 minutes. What is the workers unit rate of completion?
Answers
Answer:
[tex]\frac{1}{3}[/tex] product per minute
Step-by-step explanation:
We Know
A factory worker can make 15 products in 45 minutes.
What is the worker's unit rate of completion?
We Take
15 / 45 = [tex]\frac{1}{3}[/tex] product per minute
So, the workers unit rate of completion is [tex]\frac{1}{3}[/tex] product per minute
The following is a list of movie tickets sold each day for 10 days.
7, 18, 23, 41, 34, 12, 48, 65, 57, 52
Which of the following intervals are appropriate to use when creating a histogram of the data?
0 – 9, 10 – 19, 20 – 29, 30 – 39, 40 – 50
0 – 14, 15 – 29, 30 – 44, 45 – 59, 60 – 74
0 – 15, 15 – 20, 20 – 35, 35 – 60, 60 – 75
0 – 20, 20 – 40, 40 – 60, 60 – 80
Answers
The appropriate intervals to use when creating a histogram of the data are:
0 – 14, 15 – 29, 30 – 44, 45 – 59, 60 – 74.
Given information:
The following is a list of movie tickets sold each day for 10 days.
7, 18, 23, 41, 34, 12, 48, 65, 57, 52.
When creating a histogram, you want to group the data into intervals or bins.
The intervals should be chosen so that they are of equal size, and they should also include all the data values.
In this case, the data values range from 7 to 65, so we need to choose intervals that cover this range.
The appropriate intervals to use when creating a histogram of the data are:
0 – 14, 15 – 29, 30 – 44, 45 – 59, 60 – 74
These intervals capture the range of values in the data set and have equal widths, making it easy to create a histogram.
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Write An Equation For The Quadratic Graph
Answers
The quadratic equation shown in the graph is:
y = (x + 2)*(x - 1)
How to find the quadratic equation?Remember that if h and k are the zeros of a quadratic equation of leading coefficient a, we can write it as:
y = a*(x - h)*(x - k)
Here we can see that the zeros are:
x = -2
x = 1
Then we can write it as:
y = a*(x + 2)*(x - 1)
And the y-intercept is -2, then we can write:
-2 = a*(0 + 2)*(0 - 1)
-2 = a*-2
-2/-2 = a
1 = a
The quadratic equation is:
y = (x + 2)*(x - 1)
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Please see attachment below!
Answers
Answer:
5cm
Step-by-step explanation:
According to Pythagoras Theorem:
a^2+b^2=c^2
Given,
a=3, b=4, c=x
3^2+4^2=x^2
9+16=x^2
25=x^2
25 sqrt= 5
Therefore the answer is 5cm.
The price of a desk was originally $80. The desk is now on sale for 16% off. What is the sale price of the desk? Use y to represent the sale price of the desk and write an equation to represent the problem.
Just write me the equation
Answers
y = 80 - 0.16*80
Write an exponential function in the form � = � � � y=ab x that goes through points ( 0 , 19 ) (0,19) and ( 2 , 1539 ) (2,1539).
Answers
The exponential function that passes through the points (0,19) and (2,1539) is y = 19(9)ˣ.
We can use the two given points to form a system of two equations in two unknowns (a and b) to find the exponential function in the form y = abˣ that passes through those points.
Using the point (0,19), we get
19 = ab⁰
19 = a
Using the point (2,1539), we get
1539 = ab²
Substituting a = 19 from the first equation, we get
1539 = 19b²
Solving for b, we get
b² = 81
b = 9 or b = -9
Since we are dealing with an exponential function that models a growth, we will choose the positive value for b. Thus, b = 9.
Now that we know a and b, we can write the exponential function in the form y = abˣ
y = 19(9)ˣ
Therefore, the exponential function is y = 19(9)ˣ
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--The given question is incomplete, the complete question is given
" Write an exponential function in the form y=ab^x that goes through points ( 0 , 19 ) (0,19) and ( 2 , 1539 ) (2,1539)."--
Laura bought 25 rolls of yarn to make a
blanket. The multi-colored yarn cost $4
per roll. The solid colored yarn cost $3
per roll. She paid a total of $88. How
many different rolls of yarn did she buy?
Answers
Using a system of equations, the number of different rolls of yarn that Laura bought is as follows:
Multi-colored yarn = 13 rollsSolid-colored yarn = 12 rolls.What is a system of equations?A system of equations refers to simultaneous equations.
Simultaneous equations are two or more equations solved concurrently.
The total number of rolls of yarn bought = 25 rolls
The unit cost of multi-colored yarns = $4
The unit cost of solid-colored yarns = $3
The total cost paid for the 25 rolls of yarn = $88
Let the number of rolls of multi-colored yarns = x
Let the number of rolls of solid-colored yarns = y
Equations:Equation 1: x + y = 25
Equation 2: 4x + 3x = 88
Multiply Equation 1 by 3:
3x + 3y = 75 ... Equation 3
Subtract Equation 3 from Equation 2:
4x + 3x = 88
-
3x + 3y = 75
x = 13
Substitute x = 13 in either equations 1 or 2:
x + y = 25
13 + y = 25
y = 12
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find the distance between 5,1 and 5,4
Answers
Answer:
3
Step-by-step explanation:
By using distance formula
√(x2-x1)^2+(y2-y1)^2
√(5-5)^2+(4-1^2
√0+(3)^2
√9
=3
A plane intersecting a cylinder
forms a rectangular cross-section
Which describes how the plane
intersects the cylinder?
Answers
Answer: A cylindric section is the intersection of a plane with a right circular cylinder.
If we cut a cylinder perpendicularly to its base, the figure formed is a rectangle with a length equal to the height of the cylinder and a length equal to its diameter.
Blake & McKenzie Tax Services is a company serving 72 clients (as of the beginning of last month that is working on reorganizing its balanced scorecard. Currently, the company has the following performance metrics: online client satisfaction rating, client growth percentage (the number of total clients at the beginning of the current month compared to the number of total clients at the beginning of the prior month, market share, and profit margin. The company tracks these metrics from month to month. The company's target client growth percentage is 4% per month. Its target average online client satisfaction rating is 4.8 stars. Last month, the company noted the following data related to these metrics:
New clients 7
Lost clients 4
Market share 1.52%
Profit margin 65%
1. Working together in teams, create strategic objectives that each of the company's four performance metrics might represent.
2. Determine whether the company achieved its client growth percentage target last month.
3. Suppose that last month, the company received 55 five-star reviews, 10 four-star reviews, 3 three-star reviews, 1 two-star review, and 1 one-star review (some clients did not submit a review). Determine whether the company met its average online client satisfaction rating target.
4. Come up with at least one strategic initiative for the strategic objective of any performance metric target that you know the company did not meet last month.
Answers
Possible strategic initiatives for the strategic objective to satisfy clients:
• Implement additional training course on serving and interacting with clients
How to solvea. client review and client growth percentage metrics likely relate to a strategic objective to satisfy and increase clients. The market share and profit margin metrics likely relate to a strategic objective to increase profits.
b.
New clients during the month
7
Lost clients during the month
(4)
Increase in clients
3
Total clients at the beginning of last month
÷ 72
Client growth percentage last month
4.17%
target met
c.
Number of 5-star reviews
55 × 5 =
275
Number of 4-star reviews
10 × 4 =
40
Number of 3-star reviews
3 × 3 =
9
Number of 2-star reviews
1 × 2 =
2
Number of 1-star reviews
1 × 1 =
1
Sum total of stars
327
Total number of reviews
÷ 70
Average online client satisfaction rating
4.67
stars, target
not met
d.
Possible strategic initiatives for the strategic objective to satisfy clients:
• Implement additional training course on serving and interacting with clients
• Invite clients to provide additional feedback through a brief online survey
• Have the company owner send a personal apology to any clients providing a review of 2 stars or less, and offer them some kind of compensation; also ask for their feedback regarding what caused them dissatisfaction
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Find the area of the shaded sector of the circle to the nearest tenth
Answers
Answer:
Area of shaded portion= (θ/360º) × πrr
32/360°×22/7×3cm×3cm
(Simplify)
=2.514cm×cm
To nearest tenth= 2.500cm×cm
You can rent a car from company a for $40 plus $50 per Day write an expression to find the cost of a car per day, D
Answers
Cost = $40 + $50D
Kellen runs for at least 1 hour but for no more than 2 hours. He runs at at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d=6.6t. Find the theoretical and practical domains of this equation.
Kellen runs for at least 1 hour but for no more than 2 hours. He runs at at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d = 6. 6t
Find the theoretical and practical ranges of this equation.
Answers
The equation's usable range is 6.6 km d 13.2 km.
What is an expression?Expression is the relation of the numbers and the variables written by the use of mathematical signs.
Kellen exercises for a minimum of an hour and a maximum of two hours. As a result, the equation's useful domain is 1 t 2. Since that time can take on any positive or negative value, the theoretical scope of the equation d = 6.6t is all real numbers.
Substitute the values of the practical domain into the equation.
t = 1, d = 6.6(1) = 6.6 km.
t = 2, d = 6.6(2) = 13.2 km.
Therefore, the equation's usable range is 6.6 km d 13.2 km.
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I need help with this problem if do thank you a lot
Answers
Answer:
The equation of the circle is (x + 7)^2 + (y - 13)^2 = 25.
Step-by-step explanation:
The equation of a circle with a center (a,b) and radius r is given by:
(x - a)^2 + (y - b)^2 = r^2
So, for the center (-7, 13) and a radius of 5 units, the equation of the circle is: (x - (-7))^2 + (y - 13)^2 = 5^2
Simplifying this equation, we get:
(x + 7)^2 + (y - 13)^2 = 25
Therefore, the equation of the circle with center (-7,13) and radius 5 units is (x + 7)^2 + (y - 13)^2 = 25.
The table below shows the spot rates for the given lengths of time. Numbers 4 5 6 of years Effective 2.5% 3.1% 3.4% 3.6% 4% 4.2% annual spot ratee Calculate the swap rate for a two- year deferred, three- year interest rate swap with settlement at the end of the year. [10]
Answers
The swap rate for a two-year deferred, three-yearinterest rate swap with settlement at the end of the year is 3.7%
How to calculate the rateImplied forward rate = (1+Present year rate)^Present year /(1+Previous year rate)^Previous year -1
The swap rate for a two-year deferred, three-yearinterest rate swap with settlement at the end of the year=
= [(1 +0.034)2 / (1+0.031)1 ] -1
= [1.069156 / 1.031] -1
= 1.037 - 1
= 0.037
= 3.7%
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What is the area of the composite figure?
54 units2
152 units2
136 units2
160 units2
Answers
The area of the composite figure is 136 sq. units.
Given that a composite figure we need to find it area,
The figure is composed of a triangle and a rectangle,
So to find its area we will simply calculate the areas of both the polygons and add them,
So, the area of a triangle = 1/2 x base x height
The area of a rectangle = length x width
So,
The required area = 1/2 x (16-8)(13-7) + 7 x 16
= 1/2 x 8 x 6 + 112
= 24 + 112
= 136
Hence, the area of the composite figure is 136 sq. units.
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Solve the following for θ, in radians, where 0≤θ<2π.
cos^2(θ)+7cos(θ)+4=0
Select all that apply:
4.03
2.65
1.65
2.25
1.43
Answers
The range of the cosine function is [-1, 1], there are no real solutions for θ in the given range.
We have,
We can solve the given quadratic equation for cos(θ) using the quadratic formula:
cos(θ) = (-b ± sqrt(b^2 - 4ac)) / 2a
Here, a = 1, b = 7, and c = 4.
Substituting these values, we get:
cos(θ) = (-7 ± √(7² - 4(1)(4))) / 2(1)
cos(θ) = (-7 ± √(41)) / 2
Since 0 ≤ θ < 2π, we need to consider only the solutions that lie in this range.
Using a calculator, we get:
cos(θ) ≈ -3.03 or -0.65
Since the range of the cosine function is [-1, 1], there are no real solutions for θ in the given range.
Therefore,
None of the given options (4.03, 2.65, 1.65, 2.25, 1.43) is correct.
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plsssssssssssssssssssssssssssssssssssssssssssssssss
Answers
Answer: 22√3
Step-by-step explanation:
When finding perimeter you take l+l+w+w, or 2l + 2w.
Answer:
[tex]22\sqrt{3}[/tex]
Step-by-step explanation:
To find the perimeter, we have to add up all four sides.
[tex]5\sqrt{3} +3\sqrt{12} +5\sqrt{3} +3\sqrt{12}[/tex]
write this on your calculator then you'll get [tex]22\sqrt{3}[/tex]
Hope this helps
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is x+10 a factor of f(x)=5x^3+60x^2+109x+90
Answers
Answer: x + 10` is **not** a factor of `f(x) = 5x^3 + 60x^2 + 109x + 90`.
Step-by-step explanation: To determine if `x + 10` is a factor of `f(x) = 5x^3 + 60x^2 + 109x + 90`, we can use the Factor Theorem. The Factor Theorem states that if `f(a) = 0`, then `x - a` is a factor of `f(x)`.
In this case, we want to determine if `x + 10` is a factor of `f(x)`, so we can let `a = -10` and evaluate `f(-10)`:
`f(-10) = 5(-10)^3 + 60(-10)^2 + 109(-10) + 90`
`= -5000 + 6000 - 1090 + 90`
`= -1000`
Since `f(-10) ≠ 0`, we can conclude that `x + 10` is **not** a factor of `f(x) = 5x^3 + 60x^2 + 109x + 90`.
Simplify the following expression:
√ 16+√ 25 + 5
OA. 14 + 0i
OB. 9-5i
OC. 5+√41i
OD. 5+9i
Answers
Answer:
D. 5 +9i
Step-by-step explanation:
You want to simplify the expression ...
√(-16) +√(-25) +5
Imaginary numbersWe know that the value of √(-1) is represented by the constant i. This means we can simplify the expression like this:
[tex]\sqrt{-16}+\sqrt{-25}+5\\\\=\sqrt{-1(4^2)}+\sqrt{-1(5^2)}+5\\\\=4i+5i+5\\\\=\boxed{5+9i}\qquad\text{matches choice D}[/tex]
<95141404393>
Which proves that (x – 7) is a factor of the given polynomial function?
f(x) = x2 – 5x – 14
A. f(-7) = 0
B. f(0) = -7
C. f(1) = 7
D. f(7) = 0
