Step-by-step explanation:
The angle is 40, because 180 - 140 = 40
And the reason for it is Adjacent angles
The measure of {x}, unknown angle is 40°.
What is a radian?The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics
Given is the image as shown in the figure.
We can write the measure of {x} as -
{x} = 180 - 140
{x} = 40°
Therefore, the measure of {x}, unknown angle is 40°.
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What values satisfy the equation?
3n² = 147
Answer:
n=7
\(3 {n}^{2} = 147 \\ {n}^{2} = \frac{147}{3} \\ \sqrt{ {n}^{2} } = \sqrt{49} \\ n = 7\)
Complete the folllowing two column proof
The two column proof is written as follows
Statement Reason
line LQ || Line NP given
< Q is congruent to < N Alternate interior angles
< L is congruent to < P Alternate interior angles
< LMQ is congruent to < PMN Vertical angle theorem
Δ LMQ similar Δ PMN Definition of similar triangles
What is similar triangles?Similar triangles are triangles that have the same shape but may differ in size. In other words, they have the same angles but their sides may be of different lengths.
If two triangles are similar, it means that their corresponding angles are equal, and their corresponding sides are in proportion to each other.
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suppose a person was just admitted to the hospital. what is the probability that it would be more than 30 minutes before the next person was admitted?
To determine the probability that it would be more than 30 minutes before the next person is admitted to the hospital, we would need information about the admission process, such as the average rate of admissions or the distribution of inter-admission times.
However, if we assume that the time between admissions follows a continuous random distribution and is independent of the previous admission time, we can make some general assumptions.
Let's assume the time between admissions follows an exponential distribution with a mean of λ (lambda). The exponential distribution is commonly used to model the time between events that occur randomly and independently over time.
In this case, the probability that it would be more than 30 minutes before the next person is admitted can be calculated as the complement of the cumulative distribution function (CDF) of the exponential distribution at 30 minutes.
P(Time > 30 minutes) = 1 - CDF(30 minutes).
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*
Convert 315º to radians:
Answer:
degrees ⋅(π radians /180 degrees )
the (π180) means that for every π radians you go around the unit circle, you've gone 180 degrees.
315 degrees ⋅(π radians /180 degrees )
315 and 180 are both divisible by 45 , so.
74⋅π radians = 74π radians.
You have in your pocket 10 coins.9 of them are ordinary coins with one tail and one head and the 10th coin has two heads. You randomly pick one coin from your pocket.What is the probability that this coin will land on heads? A. 0.45 B. 0.48 C. 0.55 D. 0.52 PLZ EXPLAIN, PLZ HELP!!!
Answer: C. 0.55
Step-by-step explanation:
You have 9/10 fair coins and 1/10 double heads.
The probability of throwing a head is (9/10*1/2)+(1/10*2/2)
=11/20 which is equal to 0.55
HOPES THIS HELP
5. Write the following numbers in order from least to greatest. 1.23; 1.2; 2.31; 3.2
Find SD if JD=30. Pls help meh.
Answer:
SD=10
Step-by-step explanation:
S=the intersection of the medians
SD=JD/3
SD=30/3
SD=10
The perimeter of a train ticket is 60 centimeters. It is 17 centimeters long. How tall is it?
If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter
What is perimeter of a rectangle?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;
P = l+l+w+w
P= 2(l+w)
60 = 2( 17+w)
60 = 2( 17+w)
17+w= 60/2
17+ w = 30
w = 30-17
w = 13cm
Therefore the height of the train ticket is 13cm
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Aaron has 47 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 266 square meters. List each set of possible dimensions (length and width) of the field.
The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).
Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.
The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.
Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:
Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,
we have:Length of the field, l = 11 m
Width of the field, w = 12 m
Area of the field = l × w = 11 × 12 = 132 sq. m
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Please help!
What’s the surface area of the figure below?
A 540
B 648
C 1080
D 1944
Answer:
4(18)(6) + 2(6)(12) + 2(6)(6) + 2(12)(18)
= 1,080 in.²
The correct answer is C.
The product of 3! isA 1B 2.C 3D 6
Recall that n factorial is equal to
\(n!=n\times(n-1)\times(n-2)\ldots\times1\)Therefore, 3!
\(3!=3\times2\times1=6\)Which function has a domain of x greater-than-or-equal-to 5and a range of y less-than-or-equal-to 3?y = startroot x minus 5 endroot + 3y = startroot x + 5 endroot minus 3y = negative startroot x minus 5 endroot + 3y = negative startroot x + 5 endroot minus 3.
Option C has an x larger than or equal to 5 domain and a y less than or equal to 3 range. y = negative Start Root x minus 5 End Root + 3.
What is Domain and Range of Functions?
Let's consider a function y=f(x) where x is a set of values such as f exists. All the values of x are called the domain of f. Similarly, f takes a set of values when x takes values in its domain. All the values f could take is its range. We know the domain and range of f are, respectively x≥5,y≤3. Since all the options contain a square root, we already know the domain will be restricted by the argument of a square root, that is, it must be non-negative. From the given domain, we construct the argument of the square root x≥5 x-5≥0. It corresponds to the argument of a square root that must be non-negative. So our function must contain √x-5. Now about the range, the square root is assumed as positive or zero, and the range is restricted as less or equal to zero, so we operate the inequality for y
y≤3=>0≤3-y=>3-y≥0
Now we can safely say
3-y=√x-5
Or equivalently
y=3√x-5
This corresponds to the option C. written as
y= negative start root x minus 5 end root + 3
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You put $800 into an investment at 7% for three years. What will the balance be at the end of three
years?
Answer:
$980.03
Step-by-step explanation:
$800 x 0.07 = $56
($800 + $56) x 0.07 = $59.92
($856 + $59.92) x 0.07 = $64.11
$856 + $59.92 + $64.11 = $980.03
what is the gcf of 140 and 180
The GCF of 140 and 180 in the question can be expressed as 20.
What is Prime factorization?The concept that will be used in the calculation is the concept of the Prime factorization.
Prime factorization can be described as the way that can be used to find the prime factors of a number , making sure that the original number is evenly divisible by these factors.
Prime factorization of 140 and 180 are:
40: (2 × 2 × 5 × 7)
180: (2 × 2 × 3 × 3 × 5)
Then the common prime factors which are common that can be associated with 140 and 180 which is the GCF of 140 and 180 is ( 2 × 2 × 5 )= 20.
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-1(2x+3)-2(x-1) simplified
Answer:-4x-2
Step-by-step explanation:
-1(2x+3)-2(x-1)
-2x-3-2x+1
-4x-2
Find the equation of the tangent line to the curve y = (8 ln(x))/x at the points (1, 0) and (e, 8/e).
The equation of the tangent line to the curve are \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).
It is required to find the solution.
What is a tangent ?A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.
Given:
\(y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }\)
Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.
\(m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1\)
We can now find the equation, because we know the slope and a point (1, 0).
\(y-y_{1} =m(x-x_{1} )\\\)
y-0=1(x-1)
y=x-1
We can now find the equation, because we know the slope and a point (e, 8/e).
\(y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}\)
Therefore, the equation of the tangent line to the curve are \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).
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each child in a sample of low-income children was administered a language and communication exam. the sentence complexity scores had a mean of and a standard deviation of .
For a sample of 64 low-income children, the estimate of the true mean complexity score is 7.64
Parameter refers to the mathematical quantity calculated using population while statistics refers to the mathematical quantity calculated using sample.
Given, the sample mean of 64 children is 7.64 and the estimated population parameter value is equal to its statistics. So, here the estimated value of the mean sentence complexity score is equal to its sample mean value which is 7.64
So, an estimate of the true mean is sample mean=\(\bar x\)=7.64
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The complete question is given below:
Each child in a sample of 64 low-income children was administered a language and communication exam. The sentence complexity scores had a mean of 7.64 and a standard deviation of 8.94. Complete parts a through d. a. From the sample, estimate the true mean sentence complexity score of all low-income children.
George is considered a Type A person. He a) has a low level of adrenaline b) is prone to heart attacks in his thirties and forties because of his high stress level. c) is prone to heart attacks in his seventies d) is not competitive
George, being a Type A person, is characterized by high stress levels and a competitive nature. b) is prone to heart attacks in his thirties and forties because of his high stress level.
Type A personality refers to individuals who are ambitious, driven, and exhibit a high level of competitiveness. They often experience higher levels of stress and may engage in behaviors such as time urgency and impatience. While it is true that Type A individuals are more prone to heart attacks, the specific age range can vary.
In the case of George, the question states that he is prone to heart attacks in his thirties and forties. This is because the combination of high stress levels, competitive nature, and potentially other risk factors like poor diet, smoking, or lack of physical activity can increase the likelihood of cardiovascular problems at a relatively younger age.
However, the statement does not exclude the possibility of George being at risk of heart attacks in his seventies as well. While the risk may decrease with age due to lifestyle changes or medical interventions, it is still important for individuals with Type A personalities to manage their stress levels and adopt a heart-healthy lifestyle to reduce the overall risk of heart disease throughout their lives.
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George is considered a Type A person. He is suffering from heart attacks due to high level of stress and anxiety. Select the suitable options.
He a) has a low level of adrenaline b) is prone to heart attacks in his thirties and forties because of his high stress level. c) is prone to heart attacks in his seventies d) is not competitive
Suppose that the interest rate in Canada is 4%, in Japan it is 7%, and financial assets in the two countries are equal in risk. As a result: a. capital will flow from Japan to Canada. b. capital will flow from Canada to Japan. c. capital will not flow between Japan and Canada. d. Japan will export more goods to Canada.
The, option (a) is the correct answer. Option (b) is incorrect since the higher interest rate in Japan would discourage investment in Canada, rather than attracting it. Option (c) is also incorrect since interest rate differentials are a significant driver of capital flows between countries. Option (d) is not directly related to the question of interest rate differentials and capital flows.
Capital will flow from Japan to Canada.
When interest rates are higher in one country compared to another country, investors will seek to invest in that country to earn higher returns. In this case, the interest rate is higher in Japan (7%) compared to Canada (4%), and financial assets in the two countries are equal in risk. As a result, investors in Japan will seek to invest in Canada to earn a higher return, which will result in the outflow of capital from Japan and the inflow of capital into Canada.
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Suppose that the interest rate in Canada is 4%, in Japan it is 7%, and financial assets in the two countries are equal in risk. As a result, capital will flow from Canada to Japan. The correct option is (b).
To determine the direction of capital flow between countries based on interest rate differentials, we need to consider the concept of interest rate parity.
According to interest rate parity, capital tends to flow from a country with a lower interest rate to a country with a higher interest rate.
In this case, the interest rate in Canada is 4% while in Japan it is 7%. Since the interest rate in Japan is higher than in Canada, according to interest rate parity, capital is expected to flow from Canada to Japan.
It's important to note that this analysis assumes that other factors such as exchange rates, inflation, and market conditions remain constant.
In reality, capital flows can be influenced by a range of other factors, including market expectations, political stability, and economic outlook, which may complicate the relationship between interest rates and capital flows.
Therefore, the correct option is (b.) capital will flow from Canada to Japan.
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A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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A single card is drawn from a standard 52 card deck.
Work out the probability of choosing "a queen".
Give your answer in its simplest form.
answer is 7.692 percentage
which of these collections of subsets are partitions of {1, 2, 3, 4, 5, 6}? a) {1, 2}, {2, 3, 4}, {4, 5, 6} b) {1}, {2, 3, 6}, {4}, {5} c) {2, 4, 6}, {1, 3, 5} d) {1, 4, 5}, {2, 6}
The collections of subsets that are partitions of {1, 2, 3, 4, 5, 6} are options (b) and (c).
Among the given options, collections (b) and (c) are partitions of the set {1, 2, 3, 4, 5, 6}. In option (b), the subsets {1}, {2, 3, 6}, {4}, and {5} form a partition since each element of the set belongs to exactly one subset.
Similarly, in option (c), the subsets {2, 4, 6} and {1, 3, 5} form a partition as each element is assigned to exactly one subset. On the other hand, options (a) and (d) do not satisfy the criteria of being a partition.
A partition of a set is a collection of subsets that satisfies two conditions: The subsets are non-empty. Every element in the original set belongs to exactly one subset in the collection. Let's analyze each option to determine if it is a partition of {1, 2, 3, 4, 5, 6}:
a) {1, 2}, {2, 3, 4}, {4, 5, 6}
This option does not form a partition since the element 2 belongs to both the subsets {1, 2} and {2, 3, 4}. So, option (a) is not a partition.
b) {1}, {2, 3, 6}, {4}, {5}
This option forms a partition. Each element belongs to exactly one subset, and the subsets are non-empty. So, option (b) is a partition.
c) {2, 4, 6}, {1, 3, 5}
This option forms a partition. Each element belongs to exactly one subset, and the subsets are non-empty. So, option (c) is a partition.
d) {1, 4, 5}, {2, 6}
This option does not form a partition since the elements 2 and 6 do not belong to any subset in this collection. So, option (d) is not a partition.
Therefore, the collections of subsets that are partitions of {1, 2, 3, 4, 5, 6} are options (b) and (c).
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If you are paid $42,000 per year, what is your type of payment?
a.
Commission
b.
Salary
c.
Wage
d.
Pension
Answer:
Hello There!!
Step-by-step explanation:
The answer is=>b.Salary.
hope this helps,have a great day!!
~Pinky~
In the given question, the form of payment is salary.
What is a salary?When someone is paid a certain amount of money for his/her work on a daily, weekly, monthly, or yearly basis is called salary.
Given, I'm getting paid a sum of $42000 per year.
It is not a commission. Because, I'm not getting paid any form of compensation here.
The paid amount is fixed here. Therefore, it is not a wage.
It is not a pension. Because, I'm not getting paid after the retirement.
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If n=530 and ˆ p (p-hat) =0.61, find the margin of error at a 99% confidence level
Give your answer to three decimals
The margin of error at a 99% confidence level, If n=530 and ^P = 0.61 is 0.055.
To find the margin of error at a 99% confidence level, we can use the formula:
Margin of Error = Z * √((^P* (1 - p')) / n)
Where:
Z represents the Z-score corresponding to the desired confidence level.
^P represents the sample proportion.
n represents the sample size.
For a 99% confidence level, the Z-score is approximately 2.576.
It is given that n = 530 and ^P= 0.61
Let's calculate the margin of error:
Margin of Error = 2.576 * √((0.61 * (1 - 0.61)) / 530)
Margin of Error = 2.576 * √(0.2371 / 530)
Margin of Error = 2.576 * √0.0004477358
Margin of Error = 2.576 * 0.021172
Margin of Error = 0.054527
Rounding to three decimal places, the margin of error at a 99% confidence level is approximately 0.055.
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What is the area of a circle when its circumference is 176
Answer:
Open this picture I send you
I hope I helped you :3
I hope you are having a great day ❤️❤️❤️❤️
\( \huge \mathrm{ Answer : }\)
\( \boxed{ \mathrm{circumference = 2\pi r}}\)
\(2\pi r = 176\)\(2 \times \dfrac{22}{7} \times r = 176\)\(r = 176 \times \dfrac{7}{22} \times \dfrac{1}{2} \)\(r = 28\)_____________________________
\( \boxed{Area = \pi {r}^{2} }\)
\( \dfrac{22}{7} \times 28 \times 28\)\(22 \times 4 \times 28\)\(2464\)Area of circle = 2464 unit²
_____________________________
\(\mathrm{ \#TeeNForeveR}\)
Q2 (10 points) Evaluate the following limits or explain why they don't exist. y2 - 2xy (a) lim (x,y)-(1,-2) y + 3x 4xy (b) lim (x,y)——(0,0) 3x2 + y2 2x2 – xy – 3y2 (c) lim (x,y)=(-1,1) x + y y
a. the limit is equal to 8. b. The limit is of the form 0/0 c. the limit is equal to 0.
(a) To evaluate the limit lim(x,y)→(1,-2) (y^2 - 2xy) / (y + 3x), we substitute the given values into the expression:
lim(x,y)→(1,-2) (y^2 - 2xy) / (y + 3x) = (-2)^2 - 2(1)(-2) / (-2 + 3(1)) = 4 + 4 / (-2 + 3) = 8 / 1 = 8
Therefore, the limit is equal to 8.
(b) To evaluate the limit lim(x,y)→(0,0) (3x^2 + y^2) / (2x^2 - xy - 3y^2), we substitute the given values into the expression:
lim(x,y)→(0,0) (3x^2 + y^2) / (2x^2 - xy - 3y^2) = (3(0)^2 + (0)^2) / (2(0)^2 - (0)(0) - 3(0)^2) = 0 / 0
The limit is of the form 0/0, which is an indeterminate form. In this case, further analysis is required to determine the limit. We can try using other techniques such as L'Hôpital's rule or transforming the expression before evaluating the limit.
(c) To evaluate the limit lim(x,y)→(-1,1) (x + y) / y, we substitute the given values into the expression:
lim(x,y)→(-1,1) (x + y) / y = (-1 + 1) / 1 = 0 / 1 = 0
Therefore, the limit is equal to 0.
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WILL GIVE BRAINIEST IF ANSWER ALL QUESTIONS
The value of the the function h(x) at x = 4 is given as follows:
8.7.
The quadratic regression equations for each table are given as follows:
y = -0.127x² + 4.699x - 27.777.y = 32.86x² - 379.14x + 1229.14.How to obtain the value at x = 4?The function for the first item is defined as follows:
h(x) = 50/(5.5 + 8e^(-0.9x)).
At x = 4, the value assumed by the function is obtained replacing the lone instance of x by 4, hence:
h(4) = 50/(5.5 + 8e^(-0.9(4))).
Then a calculator is used to obtain the exact value due to the exponential, hence:
h(4) = 8.7.
How to obtain the regression equations?The regression equations are obtained inserting the points of each table into a quadratic regression calculator.
For the first table, the points are given as follows:
(16, 15), (18, 15.6), (20, 15.7), (21, 15), (23, 13.1), (26, 8.9), (27, 6.6).
Hence the equation is of:
y = -0.127x² + 4.699x - 27.777.
For the second table, the points are given as follows:
(3, 330), (4, 276), (5, 263), (6, 86), (7, 174), (8, 198), (9, 553).
Hence the equation is of:
y = 32.86x² - 379.14x + 1229.14.
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find the value of
x in
-8x + 8
20 points
Answer:
-8x + 8 =0
-8x=-8
8x=8
x=8/8=1
The area of a circular garden is 121pi
square feet. How much fencing would
be needed to enclose the garden?
Answer:
22 pi ft
Step-by-step explanation:
We can use the area to find the radius
A = pi r^2
121 pi = pi r^2
Divide each side by pi
121 = r^2
Take the square root
sqrt(121) = sqrt(r^2)
11= r
Now we need to find the circumference
C = 2*pi*r
C = 2* pi *11
C = 22 pi ft
Answer:
1. Use area to find radius.
A = π r^2
121 π = π r^2
2. Divide each side by π.
121 = r^2
3. Take in the square root .
\(\sqrt{121} = \sqrt{r^{2} }\)
11 = r
4. Find the circumference .
C = 2 × π × r
C = 2 × π × 11
C = 22 π ft
A coin with probability p of showing up heads is tossed n times. What is the probability that the number of heads is odd
The chance you get a odd number of heads from the first coin is 1/3,
What is the probability that the number of heads is odd? The tosses of the coin are independent (neither affects the other). Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2For n≥3, if the last outcome is T, then the probability that the first (n−1)tosses do not contain two (or more consecutive heads is p n−1 and if the last outcome is H, then (n−1)th outcome must be T and the probability the first(n−2) tosses do not contain two (or more) consecutive heads is p n−2 . Hence, p n =p n−1 ×P (nth toss results in a tail)+p n−2 ×P (nth toss results in a head and (n−1)th toss results in a tail)=(1−p)p n−1+p(1−p)p n−2To learn more about probability refers to:
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