Answer: 16.6
Step-by-step explanation:
a² + b² = c²
7² + b² 18²
49 + b² = 324
Subtract 49 from both sides
b² = 275
√b² = √275
b = 16.583
16.583 ≈ 16.6
Do number 17 please.
Answer:
667.2
Step-by-step explanation:
aP/2 apothem is 13.9, perimeter is 16(6)= 96
multiply apothem and perimeter then divide by 2.
Find the area of the parallelogram.
Answer: 12
Step-by-step explanation:
An animal park has lions tigers and zebras.20% of the animals are lions and half the animals are zebras.If there are 120 animals at the park , how many tigers are there?
Answer:
40
Step-by-step explanation:
20% of 120 which is 24 are lions
half of the animals which is 120 ÷ 2 is 60 for the zebra
therefore, 60+24 is 84
120 - 84 is 36
PLS HELP 20 POINTS DUE IN TMR
QUESTION 2 Let X be a continuous exponentially distributed random variable, with E[X] - 2. Let Y - 2x. What is E[Y2J?
If X is a continuous exponentially distributed random variable, with E[X]=2 , then E[Y²] = 32 .
The Random Variable X is continuous exponentially distributed , and
E[x] = 2 , which means 1/λ = 2 ;
So , λ = 1/2 ,
The variance V(x) = 1/λ² = 4 ,
Let Y = 2x ,
So , E[Y] = E[2x] = 2E[x]
= 2×2
⇒ E[x] = 4 ,
Now , we have V[Y] = Var(2X) = 4×V(x) ,'
= 4×4 = 16 ,
Then , E[Y²] = Var[Y] + (E[Y])² ...because V[Y] = E[Y²] - (E[Y])² ;
= 16 + 42
= 32 .
Therefore , the value of E[Y²] is 32 .
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The given question is incomplete , the complete question is
Let X be a continuous exponentially distributed random variable, with E[X]=2. Let Y = 2x. What is E[Y²]?
Apply Newton's Method using the given initial guess.
y = x3 − 2x − 2, x1 = 0
Explain why the method fails.
\(x_2 = -1\\x_3 = 0\\x_4= -1\)
i.e, The method fails.
What is newton's method?
The Newton-Raphson technique, also referred to as the Newton-Raphson root-finding algorithm and named after Isaac Newton and Joseph Raphson, is a root-finding algorithm used in numerical analysis that generates progressively improved approximations to the roots of a real-valued function.
\(y= x^3 - 2x - 2\\\\x_1 = 0\\\\y= x^3 - 2x - 2\\\\\Rightarrow \ \ \ y'= 3x^2 - 2\)
\(x_{n+1} = x_n - \frac{y_n}{y'_n}\\\\x_{2} = x_1 - \frac{y_1}{y'_1}\\\\\Rightarrow \ \ \ x_{2} = 0 - \frac{(0)^3 - 2(0) - 2}{3(0)^2 - 2}\\\\\Rightarrow \ \ \ x_{2} = -1\)
\(x_{3} = x_2 - \frac{y_2}{y'_2}\\\\\Rightarrow \ \ \ x_{3} = -1 - \frac{(-1)^3 - 2(-1) - 2}{3(-1)^2 - 2}\\\\\Rightarrow \ \ \ x_{3} = -1 - (-1)\\\\\Rightarrow \ \ \ x_{3} =0\\\\\\x_{4} = x_3 - \frac{y_3}{y'_3}\\\\\Rightarrow \ \ \ x_{4} = 0 - \frac{(0)^3 - 2(0) - 2}{3(0)^2 - 2}\\\\\Rightarrow \ \ \ x_{4} = -1\)
\(x_2 = -1\\x_3 = 0\\x_4= -1\)
Hence, The method fails.
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Can someone help me with Question 2b of this assignment? I'd deeply appreciate it! :)
Answer:
x=-6
Step-by-step explanation:
\(\frac{1}{2} x\)-6=2x+3
∴2×( \(\frac{1}{2} x\)-6)=2×(2x+3)
∴x-12=4x+6
∴3x=-18
∴x=-6
Keenan has saved $150 in his bank and adds $10 each week. Nikolette starts with $0 and adds $25 each week into her account. In how many weeks will they have the same amount of money?
Keenan and Nikolette will have the same amount of money after 10 weeks
How to calculate how many weeks Keenan and Nikolette will have the same amount of moneyLet's assume that after 'n' weeks, Keenan and Nikolette will have the same amount of money.
For Keenan, the amount of money he will have after 'n' weeks is:
150 + 10n
For Nikolette, the amount of money she will have after 'n' weeks is:
0 + 25n
Now we can set up an equation to solve for 'n':
150 + 10n = 25n
Simplifying the equation, we get:
150 = 15n
Dividing both sides by 15, we get:
n = 10
Therefore, after 10 weeks, Keenan and Nikolette will have the same amount of money.
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Fewer young people are driving. In year A, 65.9% of people under 20 years old who were eligible had a driver's license. Twenty years later in year B that percentage had dropped to 42.7%. Suppose these results are based on a random sample of 1,600 people under 20 years old who were eligible to have a driver's license in year A and again in year B.
(a)
At 95% confidence, what is the margin of error of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answer to four decimal places.)
At 95% confidence, what is the interval estimate of the number of eligible people under 20 years old who had a driver's license in year A? (Round your answers to four decimal places.)
The margin of error of the confidence interval is given as follows:
37.12.
The confidence interval is given as follows:
(1017.28, 1091.52).
What is a confidence interval of proportions?A confidence interval of proportions has the bounds given by the rule presented as follows:
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which the variables used to calculated these bounds are listed as follows:
\(\pi\) is the sample proportion, which is also the estimate of the parameter.z is the critical value.n is the sample size.For the confidence level of 95%, the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
The parameters are given as follows:
\(\pi = 0.659, n = 1600\)
The margin of error is given as follows:
\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)
Hence:
\(M = 1.96\sqrt{\frac{0.659(0.341)}{1600}}\)
M = 0.0232.
Out of 1600 people, we have that:
0.0232 x 1600 = 37.12 people.
The estimate is given as follows:
0.659 x 1600 = 1054.4.
Hence the bounds of the confidence interval are given as follows:
1054.4 - 37.12 = 1017.28.1054.4 + 37.12 = 1091.52.More can be learned about the z-distribution at https://brainly.com/question/25890103
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Complete the number sentence to solve. Eight girls share 7 sandwiches equally. How many sandwiches does each girl get? 7 ÷ = Each girl's share is of a sandwich.
Answer: Each girl gets 7/8 or 0.875 of the sandwich .
Step-by-step explanation:
Number of sandwiches = 7
Number of people to share = 8
Therefore Each girl gets = 7 ÷ 8= 7/ 8
Each girl gets 7/8 or 0.875 of the sandwich .
help please i need it
dhhdkhdkjhdkdhkshdksj
Answer:
26 percent sodium
also can i have brainliest please
you need to paint office 143. if one gallon of paint covers 50 sf, how many gallons of pant will you need?
To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.
Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.
Let's assume the square footage of office 143 is 800 square feet.
Number of gallons needed = Square footage / Coverage rate per gallon
Number of gallons needed = 800 square feet / 50 square feet per gallon
Number of gallons needed = 16 gallons
Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.
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Is \(a^2(a-0.4)^3\) completely factored?
The original question was to completely factor this:
\(a^5-0.064a^2\)
Answer:
\(\bf a^2* (a - 0.4)(a^2 + 0.4a + 0.16)\)
Step-by-step explanation:
Factorize:
First take out the common term a².
\(a^5 - 0.064a^2= a^2*(a^3 - 0.064)\\\\\)
Now, factorize using the identity a³ - b³
a³ - b³ = (a - b) (a² + ab + b²)
\(a^2 * (a^2 - 0.064) = a^2 * (a^3 - 0.4^3)\)
\(= a^2 * (a - 0.4) * (a^2 + a*0.4 + 0.4^2)\\\\=a^2 * (a - 0.4)(a^2 + 0.4a + 0.16)\)
When testing the differences between means, the _____ hypothesis suggests that population means are not equal.
Answer: Research
Step-by-step explanation:
Choose the equation that represents the solutions of 0 = 0.25x2 - 8x.
Answer:
C
Step-by-step explanation:
\(0.25x^2-8x=0 \\\\\\x=\dfrac{8\pm\sqrt{(-8)^2-4(0.25)(0)}}{2(0.25)}\)
Therefore, the correct answer is choice C. Hope this helps!
Answer:
For the solution of the equation
The correct option is :
\(x=\frac{-8 \pm\sqrt[]{8^2-4(0.25)(0)} }{(2)(0.25)}\)
Step-by-step explanation:
Given information:
The Equation \(0=0.25x^2-8x\)
Now, write the given equation in standard form
As: \(0.25x^2-8x=0\)
The formula for solving the equation is
\(x=\frac{-b \pm\sqrt[]{b^2-4ac} }{2a}\)
Hence ,for the solution of the equation
The correct option is :
\(x=\frac{-8 \pm \sqrt[]{8^2-4(0.25)(0)} }{(2)(0.25)}\)
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SECTION A (20 MARKS) QUESTION 1 (a)Identify the relevant population for the below foci, and suggest the appropriate sampling design to investigate the issues, explaining why they are appropriate. Wherever necessary identify the sampling frame as well. 10 marks A public relations research department wants to investigate the initial reactions of heavy soft- drink users to a new all-natural soft drink'. (b) What type of sampling design is cluster sampling? What are the advantages and disadvantages of cluster sampling? Describe a situation where you would consider the use of cluster sampling. 10 marks
a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is stratified random sampling. The list of all heavy soft-drink users is the sampling frame.
b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.
The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.
a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.
Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.
Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.
b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.
The advantages of cluster sampling are:
Cluster sampling is an efficient method of sampling large populations. It is much cheaper than other types of sampling methods.Cluster sampling is relatively easy to perform compared to other methods of sampling, such as simple random sampling.Cluster sampling can be used when the population is widely dispersed, and it would be difficult to cover the entire population.The disadvantages of cluster sampling are:
Cluster sampling introduces sampling errors that could lead to biased results.Cluster sampling has a lower level of precision and accuracy compared to other types of sampling methods.Cluster sampling increases the standard error of the estimate, making it difficult to achieve the desired level of statistical significance.A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.
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Athlete endorsers are often viewed as role models and expected to portray positive character traits while maintaining high moral standards, though in recent years, some athletes have rebelled against this notion. However, in some cases, teams, organizations, and brands will be willing to overlook moral or ethical blunders and character issues if a player is popular with the target audience. What is your opinion about the moral, ethical, and character standards in place for athlete endorsers? Drawing on the tenets of a Christian worldview (CWV) perspective, what would you do if you were asked to sign an athlete endorser with questionable character or moral and ethical values that were in conflict with your own?
In such a situation, I would choose not to endorse the athlete.
From a Christian worldview perspective, moral, ethical, and character standards hold significant importance. Athlete endorsers, as role models, should strive to uphold positive character traits and high moral standards. However, it is evident that in recent years, some athletes have challenged this notion.
When faced with the decision to sign an athlete endorser with questionable character or conflicting moral and ethical values, it is crucial to prioritize one's own values and beliefs. As a Christian, I would consider the impact of endorsing such an athlete on my personal integrity, as well as the message it sends to others.
It is essential to remain true to one's own moral compass and avoid promoting behavior that goes against Christian values. By doing so, I would be staying consistent with my beliefs and upholding the standards I hold dear.
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In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
After substituting, what is the first step when evaluating
4y+9
____
7 when Y = 87
Answer:
The "first step" is the multiplication of 4 and 87
Step-by-step explanation:
I'll assume that you actually meant 4y + 97. If you substitute 87 for y, you get 4(87) + 97. The "first step" is the multiplication of 4 and 87:
348 + 97, or
445
What is the solution set for 10 - 4x < -22?
Answer:
x>8
Step-by-step explanation:
make the equation equal to -22 and get 8 and see if if it is less than or greater than
bonnie is making a dipping sauce. she mixes 150 150150 milliliters of soy sauce with 100 100100 milliliters of vinegar. how much soy sauce does bonnie mix with every 1 11 milliliter of vinegar? milliliters how much vinegar does bonnie mix with every 1 11 milliliter of soy sauce? milliliters
Therefore, Bonnie mixes approximately 0.67 milliliters of vinegar with every 1 milliliter of soy sauce.
To determine how much soy sauce Bonnie mixes with every 1 milliliter of vinegar, we divide the total amount of soy sauce (150 milliliters) by the amount of vinegar (100 milliliters):
150 milliliters of soy sauce / 100 milliliters of vinegar = 1.5 milliliters of soy sauce per 1 milliliter of vinegar
Therefore, Bonnie mixes 1.5 milliliters of soy sauce with every 1 milliliter of vinegar.
To determine how much vinegar Bonnie mixes with every 1 milliliter of soy sauce, we divide the total amount of vinegar (100 milliliters) by the amount of soy sauce (150 milliliters):
100 milliliters of vinegar / 150 milliliters of soy sauce ≈ 0.67 milliliters of vinegar per 1 milliliter of soy sauce
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HELPPPPPPPP ASPPPPPPP PLssss
The Answer is gonna be B. 324 square centimeters
Explanation :
A=b x h
A=27 x 12
A=324
This is the Answer for your question :3
А
R
29
20
B
21
Find tan(a) in the triangle.
Answer:
Step-by-step explanation:
In the data set below, what is the mean absolute deviation?
8 4 2 3 6
If the answer is a decimal, round it to the nearest tenth.
mean absolute deviation (MAD):
The mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
We have,
In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.
To find the mean absolute deviation (MAD), we need to first calculate the mean of the given data set:
mean = (4 + 5 + 7 + 9 + 8) / 5 = 6.6
Next, we calculate the deviation of each data point from the mean:
|4 - 6.6| = 2.6
|5 - 6.6| = 1.6
|7 - 6.6| = 0.4
|9 - 6.6| = 2.4
|8 - 6.6| = 1.4
Then we find the average of these deviations, which gives us the mean absolute deviation:
MAD = (2.6 + 1.6 + 0.4 + 2.4 + 1.4) / 5 = 1.6
Therefore, the mean absolute deviation of the given data set is 1.6 (rounded to the nearest tenth).
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PLEASE HELP!!!!!!!!!!!!!!!
Eric and Amy Jackson wish to invest in a no-risk savings account. They currently have $55,000 in an account that has a 4.125% annual interest rate, compounded continuously. They have the following options:
a. keep their money in the account they already have
b. invest the money in an account that has 5% annual interest, compounded annually
c. invest the money in an account that has 4.5% annual interest, compounded quarterly
d. invest the money in an account that has 3.875% annual interest, compounded monthly
Write a function for each option, that represents the amount of money in the account after t years after the account is opened.
a. C(t) keep their money in the account they already have
b. A(t) invest the money in an account that has 5% annual interest, compounded annually
c. Q(t) invest the money in an account that has 4.5% annual interest, compounded quarterly
d. M(t) invest the money in an account that has 3.875% annual interest, compounded monthly
Answer:
2400 is your answer hiycguvh
In the process of learning children should be allowed some independence.
which phrase or sentence from the excerpt best supports this idea?
In the given statement, the idea that children should be allowed some independence is supported by a specific phrase or sentence.
Without the actual excerpt provided, it is not possible to identify the exact phrase or sentence that best supports the idea of allowing children some independence. However, in general, supporting phrases or sentences could include statements emphasizing the importance of self-discovery, autonomy, decision-making, or personal growth. These might highlight the benefits of allowing children to explore their own interests, make choices, and learn from their experiences. It is important to consider the context and content of the specific excerpt to determine the most appropriate supporting phrase or sentence.
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Enter the value for x that makes the equation 2(x−4)=6x+8 true.
x =
Answer:
X = -4
Step-by-step explanation:
Negative 4, hope this helps
what is a polygon with all sides and angles congruent
A regular polygon is a polygon with all sides and angles congruent. It exhibits symmetry and uniformity in its sides and angles, creating a visually appealing shape.
A polygon with all sides and angles congruent is called a regular polygon. In a regular polygon, all sides have the same length, and all angles have the same measure. This uniformity in the lengths and angles of the polygon's sides and angles gives it a symmetrical and balanced appearance.
Regular polygons are named based on the number of sides they have. Some common examples include the equilateral triangle (3 sides), square (4 sides), pentagon (5 sides), hexagon (6 sides), and so on. The names of regular polygons are derived from Greek or Latin numerical prefixes.
In a regular polygon, each interior angle has the same measure, which can be calculated using the formula:
Interior angle measure = (n-2) * 180 / n
Where n represents the number of sides of the polygon.
The sum of the interior angles of any polygon is given by the formula:
Sum of interior angles = (n-2) * 180 degrees
Regular polygons have several interesting properties. For instance, the
exterior angles of a regular polygon sum up to 360 degrees, and the measure of each exterior angle can be calculated by dividing 360 degrees by the number of sides.
Regular polygons often possess symmetrical properties and are aesthetically pleasing. They are commonly used in design, architecture, and various mathematical applications.
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A line passes through (-2, 7) and (3, 2).
Find the slope-intercept form of the equation of the line.
Then fill in the value of the slope, m , and the value of the y-intercept, b, below.
m=
b=
\(\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}\)
Slope of the line :
\( \large\boxed{ \mathrm{ \frac{y_2 - y_1 }{x_2 - x_1} }}\)
\( \dfrac{7 - 2}{ - 2 - 3} \)\( \dfrac{ 5}{ - 5} \)\( - 1\)therefore, m = slope = -1
The equation of the line will be :
y = mx + by = (-1 × x) + by = -x + bNow, let's plug the value of x and y from coordinates of second point,
\(y = - x + b\)\(2 = - 3 + b\)\(b = 5\)Hence, the required values are :
\( \boxed{m = - 1}\)\( \boxed{ \: \: \: b = 5 \: \: \: }\)_____________________________
\(\mathrm{ ☠ \: TeeNForeveR \:☠ }\)
The slope of line passing through (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
A line passes through (-2, 7) and (3, 2). We need to find the slope.
x₁=-2, x₂=3, y₁=7, y₂=2
substitute the values in formula of slope
m=2-7/3-(-2)
m=-5/5=-1
The slope intercept form of line is y=-x+b
To find b put the values of (-2,7)
7=-(-2)+b
7=2+b
7-2=b
5=b
y intercept is 5
Hence the slope of line passing through (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.
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PLS HELP ASAP DUE TMR TY
Answer:
a=8/2
a=4
Step-by-step explanation:
Answer:
\(a = 4\)
Step-by-step explanation:
\((2a) = 8\)
\(a = \frac{8}{2} \)
\(a = 4\)
Hope it is helpful.....