Answer:
measure of angle EFG = 139°
measure of angle IFH = 49°
Since angles DEF and EFG are supplementary:
\(2x + 3 + 6x + 25 = 180\)
\(8x + 28 = 180\)
\(8x = 152\)
\(x = 19\)
So the measure of angle EFG is
6(19) + 25 = 114 + 25 = 139 degrees, and the measure of angle DFE is 41 degrees.
Angles DFE and GFH are vertical, so angle GFH measures 41 degrees.
Angles GFH and IFH are complementary, so angle IFH measures 49 degrees.
Apply the distributive property to factor out 5x.
(5x · x2) + (5x · 3x) − (5x · 7) =
Answer:
5x^3+15x^2-35x
Step-by-step explanation:
Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!
A future project has an uncertain finish time and the finish time follows a normal distribution. The project's expected finish time is 25 weeks, and the project variance is 9 weeks. If the project deadline is set to be 11 weeks, then what is the probability that the project would need more than the given deadline to complete?
Input should be either 1 or 2, with 1 represents "more than 50%" and 2 represents "equal or less than 50%".
______________
We can conclude that the probability is more than 50% that the project would need more than the given deadline to complete.
more than 50%
To solve the problem, we can use the standardized normal distribution. The mean of the project finish time is 25 weeks, and the standard deviation is the square root of the variance, which is 3 weeks. We can standardize the deadline by subtracting the mean and dividing by the standard deviation:
z = (11 - 25) / 3 = -4
The probability that the project would need more than 11 weeks to complete is the same as the probability of getting a z-score less than -4, which is very low. We can use a standard normal distribution table or calculator to find this probability, which is approximately 0.00003 or 0.003%. Therefore, we can conclude that the probability is more than 50% that the project would need more than the given deadline to complete.
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Which set of numbers is included in the solution set of 5−4x<−7?
Responses
Answer:
x>3
Step-by-step explanation:
5-4x<-7
-4x<-7-5
-4x<-12
x>3
in the special case of two degrees of freedom, the chi-squared distribution coincides with the exponential distribution
In the special case of two degrees of freedom, the chi-squared distribution does not coincide with the exponential distribution. The chi-squared distribution is a continuous probability distribution that arises in statistics and is used in hypothesis testing and confidence interval construction. It is defined by its degrees of freedom parameter, which determines its shape.
On the other hand, the exponential distribution is also a continuous probability distribution commonly used to model the time between events in a Poisson process. It is characterized by a single parameter, the rate parameter, which determines the distribution's shape.
While both distributions are continuous and frequently used in statistical analysis, they have distinct properties and do not coincide, even in the case of two degrees of freedom. The chi-squared distribution is skewed to the right and can take on non-negative values, while the exponential distribution is skewed to the right and only takes on positive values.
The chi-squared distribution is typically used in contexts such as goodness-of-fit tests, while the exponential distribution is used to model waiting times or durations until an event occurs. It is important to understand the specific characteristics and applications of each distribution to appropriately utilize them in statistical analyses.
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A local charity earns money to donate to flood victims. It receives $200 per day in cash donations and $150 in pledges. Its operating costs are $75 per day. After how many days will the charity have enough money to make a donation of at least $1000?
Answer:
4 days at least
Step-by-step explanation:
please someone help i made this worth 100 points bc i’m desperate
Answer:
see below
Step-by-step explanation:
The first step is to make a chart
sophomores juniors
male 6
Female 10
total 15 18
We can fill in the missing pieces
There are 9 female sophomores and 8 male juniors
sophomores juniors
male 6 8
Female 9 10
total 15 18
a. P(junior or male) = number of juniors or males)/ total
The total = 15+18 = 33
The number of juniors = 18 and the sophomore males is 6 (18+6) =24
Do not double count the junior males
P(junior or male) = 24/33 = 8/11
b. P(sophomore or female) = number of sophomores or females)/ total
The total = 15+18 = 33
The number of sophomores = 15 and the junior females is 10 (15+10) =25
Do not double count the sophomore females
P(sophomore or female) = 25/33
c. P(junior and male) = number of juniors and male)/ total
The total = 15+18 = 33
The number of juniors who are male = 8
P(junior and male) = 8/33
d. P(sophomore and female) = number of sophomores and female)/ total
The total = 15+18 = 33
The number of sophomore females = 9
P(sophomore and female) = 9/33=3/11
A survey of students in the junior class at Avery's high school provided the following information:
Percentage of students who think there is too much homework
85%
Average number of hours per week spent on homework this year
8 hours
Average number of hours per week spent on homework last year
5 hours
Average number of students with afterschool jobs this year
215 students
Average number of students with afterschool jobs last year
135 students
In three to five complete sentences, write a statement that Avery can present to the school principal explaining why 85 percent of the students in the junior class think there is too much homework.
Avery can explain to her school principal that 85% of juniors think there is a lot of homework because several indicators have increased.
What is an indicator?An indicator is a datum that is taken as a reference to analyze the evolution or change of a fact over time. In this case, the indicators would be:
Weekly hours used to do homeworkNumber of students with work for after school.According to the information, it can be inferred that 85% of Junior students consider that there is an increase in homework because there were the following changes compared to last year:
Increase in hours spent on after school homework, last year the average was 5 hours, this year it is 8 hours.Increase in the number of students with after school jobs, last year it was 135 students, this year it is 215 students.From the foregoing, it can be inferred that the number of homework has increased in Junior students and that is why now 85% of them consider that homework has increased.
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Find the measure of DE 2x+7 4(x-3)
The measure of DE is 8x. This was found by using the distance formula to calculate the length of the side.
What is measurements ?Measurements are the process of comparing an unknown quantity to a known reference value in order to estimate the size, quantity, distance, weight, or other characteristics of that unknown quantity. Measurements are used in science and engineering to quantify the properties of objects, or to compare objects to each other. Measurements are also used in everyday life to help make decisions and assess the impact of changes.
To find the measure of DE, we must first calculate the length of the side. We can do this by using the distance formula. The distance formula is used to calculate the length of a line between two points in a plane. The formula is given as d = √(x2 - x1)2 + (y2 - y1)2.
For the side DE, we can use the coordinates (2x+7, 4(x-3)). The first point is (2x+7, 4(x-3)) and the second point is (2x+7, 4(x+3)). We can substitute these points into the distance formula to calculate the length of DE.
The formula becomes d = √[(2x+7 - 2x+7)2 + (4(x+3) - 4(x-3))2]
Simplifying, we get d = √[(0)2 + (8x)2]
d = √[64x2]
d = 8x
Therefore, the measure of DE is 8x.
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Trucker's Heaven Diner uses hundreds of plates, glasses, and cups each day. The dishwashers start a new load of dishes every 1 1/4 hours. If the dishwashers work for 10 hours . How many loads off dishes do they wash in that time?
A: 1/2
B: 8
C: 8 3/4
D: 12 1/3
Answer:
B: 8
Step-by-step explanation:
we are given two numbers which we can use to help solve this problem
A: the number of hours the dishwasher is being used
B: how long it takes the dishwasher to do each load
using this info we can find how many loads were washed in 10 hours by dividing the time it takes for each load by how many hours were spent.
10 / 1.25 = 8
A quadrilateral has two angles that measure 291° and 17°. The other two angles are in a
ratio of 4:9. What are the measures of those two angles?
Answer:
The sum of all four angles of a quadrilateral is 360 degrees.
Let's denote the two unknown angles as 4x and 9x, where x is a constant.
We can set up an equation using the given information:
291 + 17 + 4x + 9x = 360
Simplifying the equation:
308 + 13x = 360
13x = 52
x = 4
So, the two unknown angles are:
4x = 16 degrees
9x = 36 degrees
Therefore, the measures of the two angles in a ratio of 4:9 are 16° and 36°.
a consulting firm records its employees' income against the number of hours worked in the scatterplot shown below. using the best-fit line, which of the following predictions is true? a.) an employee would earn $310 if they work for 7 hours on a project. b.) an employee would earn $730 if they work for 27 hours on a project. c.) an employee would earn $370 if they work for 10 hours on a project. d.) an employee would earn about $470 if they work for 15 hours on a project.
Looking at the graph, the correct answer is in option B; An employee would earn $730 if they work for 27 hours on a project.
What is a scatterplot?A scatterplot is a type of graphical representation that displays the relationship between two numerical variables. It is particularly useful for visualizing the correlation or pattern between two sets of data points.
We can see that we can trace the statement that is correct when we try to match each of the points on the graph. When we do that, we can see that 27 hours can be matched with $730 earnings.
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Convert 2% to a decimal
Answer: 0.02
Step-by-step explanation: Divide 2 by 100
Answer:
0.02
Note:
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If a is an odd number, b an even number, and c an odd number, which expression will always be equivalent to an odd number?
find the value of x!
Answer:
\(x=77\)
Step-by-step explanation:
103 -x + 2x = 180
Can I have help:___________________:
Answer:
C and D are correct
Step-by-step explanation:
Order of operations is parenthesis exponents multiplication division addition and then subtraction
a density graph for all of the possible temperatures from 60 degrees to 260 degrees can be used to find which of the following?
A density graph of temperatures shows the frequency of different temperature values.
How can a density graph of temperatures be used?A density graph for all of the possible temperatures from 60 degrees to 260 degrees can be used to find the probability density function (PDF) of a continuous random variable that represents temperature within that range. The PDF describes the relative likelihood of observing different temperature values within the range, taking into account the continuous nature of temperature.
The density graph shows the distribution of temperature values, with the height of the graph at a given temperature indicating the relative probability of observing that temperature. The area under the density graph within a given range of temperatures represents the probability of observing a temperature within that range.
Therefore, a density graph can be used to find the probabilities of observing different temperatures within the given range and to analyze the distribution of temperatures within that range.
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HELP ME!! The thresher shark can grow to a length of 18 feet. This is 105.88% of the maximum length of the beluga whale. Find the maximum length of the beluga whale. If necessary, round your answer to the nearest tenth.
The maximum length of the beluga whale is 17 feet.
How to calculate percentage?
A percentage is a ratio or fraction where the full value is always 100.It is a certain number or part in every hundred. It is a fraction with the denominator 100, and the symbol for it is "%."We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.
Percentage formula = (Value/Total value) × 100
It is given that 105.88% of the maximum length of the beluga whale is 18 feet.
Let the maximum length of the beluga whale be x
105.88% of x = 18 feet
(105.88 /100) × x = 18
(10588/10000) × x = 18
x = 18 ÷ \(\frac{10588}{10000}\)
x = 18 × \(\frac{10000}{10588}\) = \(\frac{180000}{10588}\) = 17.00003 = 17 feet
Therefore, the maximum length of the beluga whale is 17 feet.
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A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t2 + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s. Which solution can be eliminated and why?
A quarterback throws an incomplete pass. The height of the football at time t is modeled by the equation h(t) = –16t² + 40t + 7. Rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s.
the solution to be eliminated is -0.2s this is because time do not have negative values
What is a quadratic equation?ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a.
It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be real or complex.
Considering the given function, the answer is both real one is negative the other is positive.
The solution in this case represents time, and time of negative value do not apply in real life
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Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.0119? Select one: a. 1.26 b.2.26 C.-2.26 d. -1.26
The z-value is -2.26. Therefore, the correct option is (C).
Given that z is a standard normal random variable, the value of z if the area to the left of z is 0.0119 is -2.26. So, the correct answer is (C).
The area to the right of z is (1-0.0119) = 0.9881.
Using a standard normal distribution table or calculator, find the z value for an area of 0.9881.
We get z=2.26.
Now, we know that z value is negative because we have to go left from the center of the normal distribution curve.
The area to the left of z is 0.0119. The area to the right of z is (1-0.0119) = 0.9881.
Using a standard normal distribution table or calculator, find the z value for an area of 0.9881. We get z=2.26.
Now, we know that z value is negative because we have to go left from the center of the normal distribution curve.
Therefore, the z-value is -2.26. Therefore, the correct is (C).
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The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as?
The branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.
What is inferential statistics?Statistical inference is the method of using data analysis to infer characteristics of a probability distribution. Inferential statistical analysis deduces population properties, for example, by testing hypotheses and generating estimates. The observed data set is assumed to be a sample from a larger population. Inferential statistics is the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter.Descriptive statistics is only concerned with the properties of the observed data and does not assume that the data come from a larger population. Inferential statistics differ from descriptive statistics.Therefore, the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter is best referred to as inferential statistics.
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Suppose that N(t) represents the population of Miamit years after 1990. a) Using function notation, express the population of Miami 5 years after 1990 b) Explain the meaning of N(9) c) Using function notation express the population that is 45,000 more than the population of Miami in the year 1997 d) Using function notation, express the population of Miami k years after 1990 e) Using function notation express the change in the population of Miami from 1995 to 1998 f) What does N(11) - N(7) repre 2 represent in the context of the question? 11-7 8) Use function notation to express the fact that the population of Miami in 2008 was 431,200 h) Explain what the solution of the equation N(t) = 412,000 represents.
Function notation is a way of representing mathematical functions using symbols. In function notation, a function is represented by a single letter, such as "f" or "g," followed by a set of input values in parentheses. For example, f(x) represents a function of x, where the value of f for a given x can be found by evaluating the function.
Function notation is commonly used in mathematics to simplify expressions and make it easier to understand mathematical relationships between variables.
The following function notations represent the following given conditions:
a) N(5) represents the population of Miami 5 years after 1990.
b) N(9) represents the population of Miami 9 years after 1990, or in the year 1999.
c) N(1997) + 45,000 represents the population of Miami which is 45,000 more than the population in 1997.
d) N(1990 + k) represents the population of Miami k years after 1990.
e) N(1998) - N(1995) represents the change in the population of Miami from 1995 to 1998.
f) N(11) - N(7) represents the change in the population of Miami from 7 years after 1990 to 11 years after 1990.
g) N(2008) = 431,200 represents the population of Miami in 2008 as being 431,200.
h) The solution of the equation N(t) = 412,000 represents the year (or years) when the population of Miami was 412,000.
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Zahmiere and Brayden are playing basketball. Yesterday, Zahmiere made 3 shots in 5 attempts, while Brayden made 4 shots in 6 attempts. If they continue at those rates, who will make more shots in 30 attempts? Plsss answer fast!!!!! Plssssss
Answer:
i think the answer would be Brayden
Step-by-step explanation:
If g (x) = 3x – 2, find g (8) – g(-5)
Answer:
I hope this helps you with your question
*97 POINTS*
Use the numerals representing cardinalities in the Venn diagram, shown on the right, to give the cardinality of the set
A' ∩ B' ∩ C. '
n(A' ∩ B' ∩ C')= ___________
Answer:
19
Step-by-step explanation:
A' represents everything out A
B' represents everything out B
C' represents everything out C
So only the outside is left hope this helps
Of the 120 rooms in a hotel, 55% are single-bed rooms, 30% are double-bedrooms, and the rest are deluxe rooms. How many deluxe rooms are there?
There are 18 deluxe rooms in the hotel.
To find the number of deluxe rooms in the hotel, we need to calculate the percentage of rooms that are deluxe.
The percentage of single-bed rooms is 55%, and the percentage of double-bedrooms is 30%. Therefore, the percentage of deluxe rooms can be calculated as:
Percentage of deluxe rooms = 100% - (Percentage of single-bed rooms + Percentage of double-bedrooms)
= 100% - (55% + 30%)
= 100% - 85%
= 15%
So, 15% of the total rooms in the hotel are deluxe rooms.
To determine the number of deluxe rooms, we can multiply the total number of rooms by the percentage of deluxe rooms:
Number of deluxe rooms = 15% of 120 rooms
= (15/100) * 120
= 0.15 * 120
= 18
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Select the true statement about triangle ABC.
A. sin A = tan C
B. sin A = sin C
C. sin A = cos B
D. sin A = cos C
Answer:
the true statement is D. sin A = cos C
it's because,
statements A and B do not match and as for statement C, angle B is not included in trigonometric ratios
Please help me! The answer has to be in this form (____,___)
IF U CAN PLEASE SHOW ME WHERE THE LINE MEET ON THE GRAPH
Answer: (2, 4)
Step-by-step explanation:
This is in y=mx+b form
b is the y intercept so the point will be (0, b) for both equations
the m represents the slope to find the x intercept substitute y as 0
Plotting the graph the lines would meet at points (2, 4).
Answer:
Step-by-step explanation:
PLS HELP WILL MARK U BRAINLIEST!! NO FAKE ANSWERS
Answer:
\(\huge\boxed{\sf 3(n + 5) \leq 100}\)
Step-by-step explanation:
The sum of a number n and 5 => n + 5Thrice the sum of a number n and 5 => 3(n + 5)At most means "less than or equal to", the sign of which is "≤"So, the inequality will be:
3(n + 5) ≤ 100
\(\rule[225]{225}{2}\)
Hope this helped!
~AH1807Use lagrange multipliers to find the minimum distance between the origin and the plane 3x y 2z = 28
The minimum distance between the origin and the plane 3x + y + 2z = 28, using the Lagrange Multipliers is 8.73 units.
In the question, we are asked to use Lagrange multipliers to find the minimum distance between the origin and the plans 3x + y + 2z = 28.
Lagrange multipliers state that if we want to minimize a function, f(x, y, z), subject to a constraint g(x, y, z) = constant, then ∇f = λ∇g.
We want to minimize the distance, and the distance formula says that the distance from the origin to a point (x, y, z), is given as:
D = √(x² + y² + z²), which can also be shown as:
D² = x² + y² + z².
The gradient of this function is: (2x + 2y + 2z), which needs to be equal to the gradient of the constraint equation multiplied by the constant, λ, that is, λ(3, 1, 2), which gives:
2x = 3λ, or, x = (3/2)λ,
2y = λ, or, y = λ/2, and,
2z = 2λ, or, z = λ.
Substituting these in the equation of the plane, 3x + y + 2z = 28, we get:
3(3/2)λ + λ/2 + λ = 28,
or, 6λ = 28,
or, λ = 28/6 = 14/3.
Thus, we get:
x = (3/2)λ = 7,
y = λ/2 = 7/3, and,
z = λ = 14/3.
Substituting these in the distance formula, we get:
D = √(7² + (7/3)² + (14/3)²) = √(49 + 49/9 + 196/9) = √(686/9) = 8.73.
Thus, the minimum distance between the origin and the plane 3x + y + 2z = 28, using the Lagrange Multipliers is 8.73 units.
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Mrs. Barrera was buying a new winter coat. It cost $115. She has two coupons, the first is 20% off one item. The second is $25 off. Which coupon will save her more money?
Answer:
The second coupon will save more money.
Step-by-step explanation:
Below are the calculations:
First, find the 20% of the cost $115 and then compare with other value $25.
The 20% of the $115 = 20% x 115 = $23
Since the person has two coupons, one coupon benefits by $23 and second coupon benefit by $25. Therefore, second coupon will save more money.