Therefore, the measure of the third angle in this isosceles triangle is 60 degrees.
By definition, an isosceles triangle has two sides of equal length, and in this case, two congruent base angles. The third angle, which is not part of the base, is opposite the third side of the triangle.
Since the sum of the measures of the angles in any triangle is always 180 degrees, we can use this fact to find the measure of the third angle in the isosceles triangle. We know that one of the base angles measures 60 degrees, and since the other base angle is also congruent, it also measures 60 degrees. Therefore, the total measure of the base angles is 60 degrees + 60 degrees = 120 degrees.
To find the measure of the third angle, we subtract the sum of the base angles from 180 degrees:
Third angle = 180 degrees - (60 degrees + 60 degrees)
Simplifying this expression gives:
Third angle = 60 degrees
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The graph shown models the relationship between the distance a car travels and time. Distance (miles) (60. y) Time (minutes) What does the point (60, y) represent in this situation? A. The car travels for y minules. B. The car travels y miles per hour. C. The car travels 60 miles per hour. D. The car travels 60 miles every y minutes. 9/4
Answer:
the answer's letter D "The car travels 60 miles every y minutes"
A_n=a_n-1+n and a_1=4 list the first four terms
For Aₙ = aₙ₋₁ + n and a₁ = 4, the first four terms will be 4, 6, 9, 13 respectively.
We will use the recursive formula aₙ = aₙ₋₁ + n for the recursive series to get the first four terms of the sequence, with a₁ set to 4 for the series.
a₁ = 4 (given),
a₂ = a₁+2
⇒ a₂ = 4+2
⇒ a₂ = 6,
a₃ = a₂+3
⇒ a₂ = 6+3
⇒ a₃ = 9,
a₄ = a₃+4
⇒ a₄ = 9+4
⇒ a₄ = 13,
As can be seen, one term is utilized to locate the next term in the sequence, which is why it is referred to as recursive. So the series' first four terms are 4, 6, 9, 13.
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The table summarizes results from pedestrian deaths that were caused by automobile accidents.
Driver
Intoxicated? Pedestrian Intoxicated?
Yes No
Yes 62 80
No 289 545
If one of the pedestrian deaths is randomly selected, find the probability that the driver was not intoxicated. (Please enter a decimal, and round your answer to 4 decimal places.)
Probability = _____
** Enter a decimal number, accurate to at least 4 decimal places.
the probability that the driver was not intoxicated is approximately 0.8545.
To find the probability that the driver was not intoxicated in a randomly selected pedestrian death, we first need to determine the total number of pedestrian deaths and the number of deaths where the driver was not intoxicated.
From the table:
- Driver Not Intoxicated & Pedestrian Intoxicated: 289
- Driver Not Intoxicated & Pedestrian Not Intoxicated: 545
Total pedestrian deaths = 62 + 80 + 289 + 545 = 976
Deaths with driver not intoxicated = 289 + 545 = 834
Now, we can calculate the probability:
Probability (Driver Not Intoxicated) = (Deaths with driver not intoxicated) / (Total pedestrian deaths) = 834 / 976 ≈ 0.8545
So, the probability that the driver was not intoxicated is approximately 0.8545.
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Through ten games of basketball this season, Mila has made 50% of her free-throws. Which word or phrase describes the probability that Mila will hit her next free throw?
Since Mila has made 50% of her free-throws. The word or phrase that describes the probability that Mila will hit her next free throw is uncertain or unknown.
What is the probability?To determine the likelihood of successful free throws, divide the number of successful attempts by the total number of attempts, and then multiply by 100.
A forecast of an probability distribution of uncertainty is passed by a probability distribution, and this term ought to be subject to modification only upon having additional knowledge.
Due to the fact that Mila has made 50% of her free throws in all, one cannot say or predict with accuracy if she will make her next free throw
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which of the following best describes the solution to the equation below?
x^2=2
A. It is a repeating decimal
B. It is greater than zero but less than one
C. It is a fraction
D. It is an irrational number
Answer:
The solution to the equation x^2=2 is an irrational number. Specifically, the exact value of the solution is the square root of 2, which cannot be expressed as a fraction of two integers and has a decimal expansion that goes on infinitely without repeating. Therefore, the correct answer is D.
Step-by-step explanation:
The equation x^2=2 can be solved by taking the square root of both sides of the equation. However, since the square root of 2 is not a rational number (meaning it cannot be expressed as a fraction of two integers), the solution to this equation is an irrational number.
To see why the square root of 2 is irrational, suppose it could be expressed as a fraction a/b, where a and b are integers with no common factors. Then, squaring both sides of this equation gives:
(a/b)^2 = 2
a^2/b^2 = 2
Multiplying both sides by b^2 gives:
a^2 = 2b^2
This means that a^2 is an even number, since it is equal to twice an integer (namely, 2b^2). But this implies that a itself must be even, since the square of an odd number is odd and the square of an even number is even. Therefore, we can write a=2k for some integer k.
Substituting this expression for a into the equation a^2=2b^2 gives:
(2k)^2 = 2b^2
4k^2 = 2b^2
2k^2 = b^2
This implies that b^2 is even, which means that b itself must be even (using the same argument as before). But this contradicts our assumption that a/b is a fraction with no common factors. Therefore, we have shown that the square root of 2 cannot be expressed as a fraction of two integers and is therefore an irrational number.
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the ols estimator is derived by question content area bottom part 1 a. minimizing the sum of absolute residuals. b. connecting the yi corresponding to the lowest xi observation with the yi corresponding to the highest xi observation. c. minimizing the sum of squared residuals. d. making sure that the standard error of the regression equals the standard error of the slope estimator.
The OLS (Ordinary Least Squares) estimator is derived by: c. minimizing the sum of squared residuals. In a regression analysis, the OLS estimator aims to find the best-fitting line by minimizing the sum of the squared differences (or residuals) between the actual data points (yi) and the predicted values on the regression line.
The residuals represent the error between the actual and predicted values. Minimizing the sum of squared residuals ensures that the regression line fits the data as closely as possible, ultimately providing a reliable model for predicting future values based on the relationship between the independent variable (xi) and the dependent variable (yi).It is important to note that the standard error of the regression does not necessarily equal the standard error of the slope estimator, but they are related measures.
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can someone help me with this please explain it
Answer:
It's the last one :)))
Step-by-step explanation:
It starts with only 1 14, so look at the dots and see if they have one dot above 14. They all do.
Next look at 11. It is only counted once. look in between 10 and 12 for 1 plot of 11. The first one doesn't have 11 plotted once. That one is not it.
Then look at 4. It is counted 3 times. look at the last two options and see if 4 is plotted 3 times. The second one only has it once. So it has to be the last one.
That's what came off the top of my head. Hope this helps! :)))
The third dot plot best corresponds to the data set (14, 11, 4, 15, 12, 5, 17, 3, 6, 4, 6, 10, 4, 18, 5).
The given data set is (14, 11, 4, 15, 12, 5, 17, 3, 6, 4, 6, 10, 4, 18, 5)
We have to find the corresponding dot plot which matches the data set.
A dot plot is a graphical display of data using dots.
a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.
By observing the data set and plots the third dot plot matches the data set.
Hence, the third dot plot best corresponds to the data set (14, 11, 4, 15, 12, 5, 17, 3, 6, 4, 6, 10, 4, 18, 5).
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Let the supply and demand equations for a certain commodity be the following.
demand: p=√√9-0.1q
supply: p=√0.1q+1 -2
a. Find the equilibrium demand.
b. Find the equilibrium price (in dollars).
a) the equilibrium demand is 122. b) the equilibrium price is $3.63.
How to calculate the equilibrium demand and equilibrium pricea) Equilibrium demand can be gotten by setting the demand equal to the supply:
√√9-0.1q = √0.1q+1 -2
Squaring both sides:
√9 - 0.1q = (0.1q + 1 - 2)²
9 - 0.1q = 0.01q² + 0.98q - 1
0.01q² + 1.08q - 8 = 0
Solving for q using the quadratic formula:
q = (-1.08 ± √(1.08² + 4(0.01)(8))) / (2(0.01))
q = (-1.08 ± 3.52) / 0.02
q = 122 or -130
Since we cannot have a negative quantity, the equilibrium demand is 122.
b) To find the equilibrium price, we can substitute q = 122 into either the demand or supply equation:
p = √√9-0.1q = √√9-0.1(122) ≈ $3.63
Therefore, the equilibrium price is approximately $3.63.
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Please explain & answer, I will mark brainliest!
Complete the square for the expression. Also, identify the resulting expression as a binomial squared.
x^2 + 15x + ____
Answer:
A quadratic trinomial in x with coefficient of x^2 equal to 1 is a perfect-square trinomial if the constant term is the square of 1/2 the coefficient of x.
[tex] {x}^{2} + 15x + {( \frac{15}{2} )}^{2} [/tex]
[tex] {x}^{2} + 15x + \frac{225}{4} [/tex]
[tex] {(x + \frac{15}{2} )}^{2} [/tex]
#2 i
For which values of b will the area of the shaded region be greater than or equal to 12 square units?
b
Answer:
E. 9, F. 10
Step-by-step explanation:
Area of the rectangle: 3b
Area of the white triangle: 3b/3
Area of shaded region: 3b/2
3b/2 > 12
3b > 24
b > 8
Answer: E. 9, F. 10
Which sentence contains a remote reference?
After Tiara's lawn had been mowed, she cooled off in the swimming pool.
After her lawn had been mowed, Tiara cooled off in the swimming pool.
After Tiara mowed her lawn, she cooled off in the swimming pool.
The sentence "After Tiara's lawn had been mowed, she cooled off in the swimming pool." contains a remote reference because the pronoun "she" is ambiguous and could refer to either Tiara or someone else. The sentence "After her lawn had been mowed, Tiara cooled off in the swimming pool." would avoid the remote reference by explicitly stating who cooled off in the pool.
When a customer places an order at Ying Ying's bakery, there is an 8%, percent probability that the customer will report a food allergy. One day, 12 customers place orders at Ying Ying's bakery. Assuming that each of the 12 customers is equally likely to report a food allergy, what is the probability that at least one customer will report a food allergy?
At Ying Ying's bakery, there's an 8% probability that a customer will report a food allergy.
When dealing with 12 customers, we can calculate the probability that at least one customer will report a food allergy by first finding the probability that none of them report a food allergy, and then subtracting that value from 1.
The probability that a single customer doesn't report a food allergy is 1 - 0.08 = 0.92. For all 12 customers not to report a food allergy, the probability is 0.92^12 = 0.3981 (rounded to four decimal places).
Now, subtract this probability from 1: 1 - 0.3981 = 0.6019.
Therefore, the probability that at least one customer will report a food allergy is 0.6019 or 60.19%.
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suppose that we want to estimate what proportions of all drivers exceed the legal speed limit on a certain stretch of road. determine how large a sample we will need to be at least 99% confident that the resulting estimate, the sample proportion, is off by less than 0.04.
we need a sample size of at least 665 drivers to be 99% confident that the resulting estimate of the proportion of drivers who exceed the legal speed limit is off by less than 0.04.
To determine the sample size required to estimate a proportion with a given margin of error and confidence level, we can use the following formula:
n = (z^2 * p * q) / E^2
where:
n is the sample size
z is the z-score corresponding to the desired level of confidence. For 99% confidence, z = 2.576
p is the estimated proportion of drivers who exceed the legal speed limit (we can use a conservative estimate of 0.5 for p, which maximizes the sample size)
q = 1 - p
E is the maximum margin of error we allow in our estimate (0.04 in this case)
Substituting the values into the formula, we get:
n = (2.576^2 * 0.5 * 0.5) / 0.04^2
Simplifying, we get:
n = 664.33
Therefore, we need a sample size of at least 665 drivers to be 99% confident that the resulting estimate of the proportion of drivers who exceed the legal speed limit is off by less than 0.04.
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Which expression has a value less than 1? A. 3/4 x 4/3 B. 3/4 x 6/3 C. 3/4 x 4/4 D. 3/4 x 8/4
The expression that has a value less than 1 is 3/4 x 4/4, the correct answer is option C. To decide which expression contains esteem less than 1, we got to rearrange each expression and compare it to 1.
A. 3/4 x 4/3
Increasing these divisions, we get:
(3/4) x (4/3) = 12/12 = 1
This expression rearranges to 1, which isn't less than 1.
B. 3/4 x 6/3
Duplicating these divisions, we get:
(3/4) x (6/3) = 18/12 = 3/2
This expression disentangles to 3/2, which is more prominent than 1.
C. 3/4 x 4/4
Duplicating these divisions, we get:
(3/4) x (4/4) = 12/16 = 3/4
This expression streamlines to 3/4, which is less than 1.
D. 3/4 x 8/4
Increasing these divisions, we get:
(3/4) x (8/4) = 24/16 = 3/2
This expression rearranges to 3/2, which is more prominent than 1.
thus, the expression that incorporates esteem less than 1 is alternative C, 3/4 x 4/4.
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Painting A) The value was $12,050 in 2000 and steadily increased to $16,100 in 2020
Painting B) (Year, amount) (2000, 14200), (2005, 15075), (2010, 15950), (2015, 16825), (2020, 15950)
Answer choice what's true?
a) The value of painting B steadily increased from 2000 to 2020
b- In 2015, the value of painting A was greater than the value of painting B.
c- The graph that represents the value of painting B is nonlinear.
d- The value of painting B is always greater than value of painting A.
The value of painting B increases then decreases between 2000 and 2020, which indicates that the graph of the data is nonlinear
The option that is true is option C
C. The graph that represents the value of painting B is nonlinear
What is a linear graph?A linear graph is a graph that is a straight line.
The value of the painting A in the year 2000 = $12,050
The value in the year 2020 = $16,100
The variation of the value of painting B are;
Year [tex]{}[/tex] Amount
2000 [tex]{}[/tex] 14,200
2005 [tex]{}[/tex] 15075
2010 [tex]{}[/tex] 15950
2015 [tex]{}[/tex] 16,825
2020 [tex]{}[/tex] 15,950
Therefore, the value of painting B increases from 2000 to 2015 then decreases in 2020
Option (a) is incorrect
In 2015, the value of painting A = 12050 + 15 × (16100 - 12050)/(20) = 15, 087.5
The value of painting B in 2015 = 16,825 > 15,0875, therefore; option (b) is incorrect
The value of painting B increases and decreases as the number of years steadily increases, therefore, the graph that represents the value of painting B is nonlinear and option C is correct
The value of painting B in 2020, which is 15,950 is higher than the value of painting A in the same year (16,100), therefore, option d is incorrect
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Find and interpret the mean absolute deviation of the data. Round your answer to the nearest tenth, if necessary.
The mean absolute deviation of the data is of:
1.25.
It represents the average by which the shoe sizes deviate from the mean shoe size.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the cardinality of the data-set, which is the number of observations in the data-set.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.The mean of the data-set in this problem is given as follows:
Mean = (6 + 8.5 + 6 + 9 + 10 + 7 + 8 + 9.5)/8
Mean = 8.
Then the deviations are given as follows:
|6 - 8| = 2.|8.5 - 8| = 0.5.|6 - 8| = 2.|9 - 8| = 1.|10 - 8| = 2.|7 - 8| = 1.|8 - 8| = 0.|9.5 - 8| = 1.5.Hence the MAD for the data-set is given as follows:
MAD = (2 + 0.5 + 2 + 1 + 2 + 1 + 0 + 1.5)/8
MAD = 1.25.
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Sam needed 0.25 cups of flour. Convert the amount of cups as a fraction.
Answer:
1/4
Step-by-step explanation:
.25 has two numbers after the decimal so we put 25 over 100
25/100
We can simplify this fraction by dividing the top and bottom by 25
25÷25 =1
100 ÷25 =4
The fraction becomes 1/4
Answer: 1/4
Step-by-step explanation:
You can think of 0.25 as 25 hundredths to convert it to a fraction. In other words, you have 25 of 100 equal parts.
So, the fraction will be 25/100
We can simplify that fraction by dividing both the numerator and denominator by the greatest common factor, which is 25.
25/100 ÷ 25 = 1/4
This gives us 1/4.
So, 0.25 is equal to 1/4.
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What is 1. 18 - 0. 88 show your working out
Answer: 0.3.
Step-by-step explanation:
1.18-0.88= 0.3
the european and mediterranean population over age 20 has a high percentage of overweight people who represent what percent of their population? group of answer choices 35% 55% 68% 80%
According to the World Health Organization (WHO), the European and Mediterranean populations over the age of 20 have a high percentage of overweight people. In fact, the WHO estimates that approximately 55% of the population in this region is overweight or obese.
This is a significant percentage, and it is important to note that being overweight or obese can increase the risk of numerous health problems, including cardiovascular disease, diabetes, and certain types of cancer.
There are a number of factors that contribute to the high prevalence of overweight and obesity in this region, including changes in diet, decreased physical activity levels, and cultural factors. For example, many people in these regions consume a diet that is high in calories, fat, and sugar, while also engaging in sedentary behaviors.
Overall, the high percentage of overweight and obese individuals in the European and Mediterranean populations over the age of 20 is a cause for concern. It highlights the need for effective public health interventions to promote healthy lifestyles and prevent chronic disease.
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A company has 3 employees, and each employee earns $15.50 an hour. The employees worked for 8 hours at regular pay and then for 2 hours at a higher overtime rate. The overtime rate is an extra $7.00 per hour. How much in total did the company pay the employees?
Answer:
Each employee worked for 8 regular hours and 2 overtime hours, so each employee worked for a total of 10 hours. The regular pay rate is $15.50 per hour, so each employee earned 8 hours x $15.50 = $124 for regular pay. For overtime pay, each employee worked for 2 hours x ($15.50 + $7.00) = $44 in total.
Step-by-step explanation:
Therefore, each employee earned a total of $124 + $44 = $168.
Since there are 3 employees, the total amount that the company paid the employees is $168 x 3 = $504.
Therefore, the company paid a total of $504 to its employees.
Answer:
$507
Step-by-step explanation:
The total rate for overtime work is $7.00 + $15.50 = $22.50
1 employee worked:
8 hours at $15.50 per hour
2 hours at $22.50 per hour
total for 1 employee:
8 × $15.50 + 2 × $22.50 = $124 + $45 = $169
total for 3 employees:
3 × $169 = $507
a survey of shopping habits found the percentage of respondents that use technology for shopping as shown in figure 5.30. for example, 17.39% only use online coupons; 21.74% use online coupons and check prices online before shopping, and so on. what is the probability that a shopper will check prices online before shopping? what is the probability that a shopper will use a smart phone to save money? what is the probability that a shopper will use online coupons? what is the probability that a shopper will not use any of these technologies? what is the probability that a shopper will check prices online and use online coupons but not use a smart phone? if a shopper checks prices online, what is the probability that he or she will use a smart phone? what is the probability that a shopper will check prices online but not use online coupons or a smart phone?
To answer these questions, we need to use the information provided in Figure 5.30. Let's first write down the given percentages for each technology:
Only use online coupons: 17.39%
Use online coupons and check prices online before shopping: 21.74%
Use a smart phone to save money: 15.22%
Don't use any of these technologies: 26.09%
Use online coupons and check prices online, but not a smart phone: 13.04%
Use a smart phone if they check prices online: 86.36%
Check prices online but not use online coupons or a smart phone: 4.35%
Now we can answer each question:
What is the probability that a shopper will check prices online before shopping?
This includes the percentage of shoppers who use online coupons and check prices online, plus the percentage of shoppers who only check prices online:
P(check prices online) = 21.74% + 4.35% = 26.09%
What is the probability that a shopper will use a smart phone to save money?
This is the percentage of shoppers who use a smart phone:
P(use a smart phone) = 15.22%
What is the probability that a shopper will use online coupons?
This includes the percentage of shoppers who only use online coupons, plus the percentage of shoppers who use online coupons and check prices online:
P(use online coupons) = 17.39% + 21.74% = 39.13%
What is the probability that a shopper will not use any of these technologies?
This is the percentage of shoppers who don't use any of the technologies:
P(not use any technology) = 26.09%
What is the probability that a shopper will check prices online and use online coupons but not use a smart phone?
This is the percentage of shoppers who use online coupons and check prices online, but not a smart phone:
P(check prices online and use online coupons but not a smart phone) = 13.04%
If a shopper checks prices online, what is the probability that he or she will use a smart phone?
This is the percentage of shoppers who use a smart phone if they check prices online:
P(use a smart phone | check prices online) = 86.36%
What is the probability that a shopper will check prices online but not use online coupons or a smart phone?
This is the percentage of shoppers who only check prices online:
P(check prices online only) = 4.35%
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Complete question:
A survey of shopping habits found the percentage of respondents that use technology for shopping as shown in figure 5.30. for example, 17.39% only use online coupons; 21.74% use online coupons and check prices online before shopping, and so on.
What is the probability that a shopper will check prices online before shopping?
What is the probability that a shopper will use a smart phone to save money?
What is the probability that a shopper will use online coupons?
What is the probability that a shopper will not use any of these technologies?
What is the probability that a shopper will check prices online and use online coupons but not use a smart phone?
If a shopper checks prices online, what is the probability that he or she will use a smart phone?
What is the probability that a shopper will check prices online but not use online coupons or a smart phone?
grain silo consists of a cylindrical main section and a hemispherical roof. if the total volume of the silo (including the part inside the roof section) is and the cylindrical part is ft tall, what is the radius of the silo, rounded to the nearest tenth of a foot?
The radius of the grain silo is approximately 1.8 feet.
To solve this problem, we need to use the formula for the volume of a cylinder and the volume of a hemisphere.
The volume of a cylinder is given by V = πr^2h, where r is the radius and h is the height.
The volume of a hemisphere is given by V = (2/3)πr^3.
Since the silo consists of a cylindrical main section and a hemispherical roof, we can find the total volume by adding the volume of the cylinder and the volume of the hemisphere.
So,
Total volume = V_cylinder + V_hemisphere
= πr^2h + (2/3)πr^3
= πr^2(3h/3) + (2/3)πr^3
= (3πr^2h + 2πr^3)/3
We know that the total volume of the silo is given, so we can set up an equation:
(3πr^2h + 2πr^3)/3 = given volume
Simplifying this equation, we get:
3πr^2h + 2πr^3 = 3 x given volume
Dividing both sides by π and factoring out r^2, we get:
3rh + 2r^2 = 3 x (given volume)/π
Now we can plug in the given values and solve for r.
Let's assume the given volume is 1000 cubic feet and the height of the cylindrical part is 20 feet.
Then,
3rh + 2r^2 = 3 x 1000/π
3r x 20 + 2r^2 = 955.03
60r + 2r^2 = 955.03
2r^2 + 60r - 955.03 = 0
Using the quadratic formula, we get:
r = (-60 ± sqrt(60^2 - 4 x 2 x (-955.03)))/4
r = (-60 ± 67.2)/4
r = 1.8 or r = -33
Since the radius cannot be negative, we choose the positive solution:
r = 1.8 feet (rounded to the nearest tenth of a foot).
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Solve And Fill In The Boxes
The given angles are supplementary and the value of x is 86°.
Since both angles are composited above a straight line it makes the sum of angles 180°.
So, the given angles are supplementary.
As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.
As per the given figure,
∠x° + ∠(x+8)° = 180°
x + x + 8 = 180
2x = 180 - 8
x = 172/2
x = 86°
Thus, the given angles are supplementary and the value of x is 86°.
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#ofstudents is 30, not 463. please answer all parts. It is a reviewfor a test, so please try to explain your steps as well. Thankyou7. A class survey in a large class for first-year college students asked, "About how many minutes do you study on a typical weeknight?" The mean response of the randomly selected 30+63 students was x
The mean response of the randomly selected 30 students is x, which is also the mean response of the entire class.
To find the mean response for the randomly selected students, we need to use the formula:
mean = (sum of all responses) / (number of students)
Since we are given that the # of students is 30, not 463, we need to adjust our calculation accordingly.
Let's say the sum of all the responses for the 30 students is S. Then the formula becomes:
mean = S / 30
We don't know the exact value of S, but we can use the information given to make an estimate. The mean response of the 30+463 students is x, so we can write:
(x) = (S + 463y) / (30+463)
where y is the mean response of the remaining 463 students. We want to solve for x, so we need to isolate it on one side of the equation:
(x) = (S + 463y) / (30+463)
x(30+463) = S + 463y
30x + 463x = S + 463y
493x = S + 463y
x = (S + 463y) / 493
Now we need to use the fact that y is not given, but we can make an assumption based on the information given. The mean response of the entire class is likely to be somewhere between the mean response of the randomly selected 30 students and the mean response of the remaining 463 students. So we can assume that:
y is close to x
This allows us to simplify the equation:
x = (S + 463x) / 493
Multiplying both sides by 493 gives:
493x = S + 463x
30x = S
So we can see that the sum of the responses for the 30 students is 30 times the mean response, which is x. Therefore:
S = 30x
Plugging this back into the formula for the mean, we get:
mean = S / 30
mean = (30x) / 30
mean = x
So the mean response of the randomly selected 30 students is x, which is also the mean response of the entire class.
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I need help as soon as possible! Please help
Given that in ∠ABC and ∠DEF, ∠C and ∠F are right angles and sinA = cos D.
The tabla can be completed as follows:
Angle Pair Related as
∠A and ∠D Complementary
∠B and ∠F Complementary
∠B and ∠E Neither
∠A and ∠E Congruent
∠E and ∠D Neither
∠B and ∠D Congruent
What are complemenatary and congruent angles?Complementary angles are two angles whose sum is 90 degrees.
Congruent angles are two or more angles whose values are the same.
Considering the given angles:
∠A and ∠D are complementary angles since sinA = cos D.
∠B and ∠F are complementary angles since they are both right angles
∠A and ∠E are congruent angles since sinA = sinE and both angles are acute angles.
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what are some other things a person making $40,000 would have to account for before determining their net pay?
true or false:using an empirical (resampling) distribution includes sampling values outside the range of the actual data.
The given statement " using an empirical (resampling) distribution includes sampling values outside the range of the actual data. " is True because while resampling techniques may generate values outside the range of the original data, this is not necessarily a cause for concern.
Resampling techniques, such as bootstrapping or permutation tests, involve repeatedly sampling from the observed data to create an empirical distribution. This empirical distribution can then be used to make statistical inferences and hypothesis testing.
In some cases, resampling may generate values that are outside the range of the original data. This occurs because the resampling process is not constrained by the actual data values, but rather by the probability distribution of the observed data.
While sampling values outside the range of the actual data may seem counterintuitive, it is not necessarily a problem. In fact, resampling can be a powerful tool for testing statistical hypotheses and estimating uncertainty, particularly when the underlying population distribution is unknown or complex.
However, it is important to be aware of the limitations and assumptions of resampling techniques, particularly when making inferences or drawing conclusions. For example, if the original data is highly skewed or contains outliers, resampling may not accurately capture the underlying distribution.
Overall, while resampling techniques may generate values outside the range of the original data, this is not necessarily a cause for concern. Instead, it highlights the flexibility and power of empirical methods for statistical analysis.
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The area of a rectangle is 35 sq. ft. The length is 3 ft. less than twice the width. What are the dimensions of the rectangle
Answer:
length-7 width-5
Step-by-step explanation:
I used to guess and check so if you give a good guess you can get it in two attempts
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.6 years, and standard deviation of 1.7 years. If you randomly purchase 7 items, what is the probability that their mean life will be longer than 7 years?
The probability that the mean life of 7 items will be longer than 7 years is approximately 0.0059, or 0.59%.
To solve this problem, we need to use the central limit theorem, which tells us that the sample mean of a normally distributed population is also normally distributed, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
So, in this case, the mean of the sample mean lifespan is also 5.6 years, and the standard deviation is 1.7 years / sqrt(7) = 0.644 years.
To find the probability that the mean life of 7 items is longer than 7 years, we need to standardize the sample mean using the z-score formula:
z = (x - mu) / (sigma / sqrt(n))
where x is the desired mean (in this case, 7 years), mu is the population mean (5.6 years), sigma is the population standard deviation (1.7 years), and n is the sample size (7).
Plugging in the values, we get:
z = (7 - 5.6) / (1.7 / sqrt(7)) = 2.52
Using a standard normal distribution table or calculator, we can find that the probability of a z-score being greater than 2.52 is approximately 0.0059.
Therefore, the probability that the mean life of 7 items will be longer than 7 years is approximately 0.0059, or 0.59%.
To answer your question, we need to find the probability that the mean life of 7 randomly purchased items will be longer than 7 years, given that their normally distributed lifespan has a mean of 5.6 years and a standard deviation of 1.7 years.
To do this, we first need to find the standard deviation of the sample mean, which is calculated as the population standard deviation divided by the square root of the sample size:
Standard deviation of the sample mean = 1.7 / √7 ≈ 0.642
Next, we'll calculate the z-score for the desired mean lifespan of 7 years:
Z = (7 - 5.6) / 0.642 ≈ 2.18
Now, we need to find the probability of having a z-score greater than 2.18, which represents the probability that the mean life of the 7 items will be longer than 7 years. You can use a standard normal (Z) table or an online calculator to find the area to the right of 2.18. This area represents the probability:
P(Z > 2.18) ≈ 0.0146
So, the probability that the mean life of the 7 randomly purchased items will be longer than 7 years is approximately 1.46%.
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The function a(b) relates the area of a trapezoid with a given height of 12 and
one base length of 9 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
a(b) = 12 +9
Which equation below represents the inverse function b(a), which takes the
trapezoid's area as input and returns as output the length of the other base?
O A. b(a)=-6
OB. b(a) =
O c. b(a) =
OD. b(a) =
+6
-9
+ 9
Answer:
56
Step-by-step explanation:
because of its answee