PLEASE ANSWER ASAP I MARK BRAINLIEST!!
Answer:
Let's call the number of nuts "n", the number of bolts "b", and the number of screws "s".
From the problem, we know:
s = 3n (Since there are 3 times as many screws as nuts)
b = n + 32 (Since there are 32 more bolts than nuts)
n + s + b = 782 (Since the total number of nuts, screws, and bolts is 782)
Now we can use substitution to solve for one of the variables in terms of the others. Let's solve for "n":
n + 3n + (n + 32) = 782
5n + 32 = 782
5n = 750
n = 150
Now we know there are 150 nuts. We can use this information to find the number of bolts:
b = n + 32
b = 150 + 32
b = 182
Finally, we can use the information we have about the screws to find their number:
s = 3n
s = 3(150)
s = 450
Therefore, there are 450 screws in the box.
legolas shoots 3 33 arrows at once from his bow. he has 177 177177 arrows. how many times can legolas shoot his bow before he needs more arrows? times
If Legolas shoots 3 arrows at once from his bow which consist of 177 arrows, then Legolas can shoot 59 times before he needs more-arrows.
We know that, if Legolas shoots 3 arrows at once, so he uses 3 arrows each time he shoots his bow,
To find the number of times he can shoot his bow, we divide the total number of arrows by the number of arrows that can be shoot at once.
The total number of arrows is = 177,
The number of arrows that can be shoot at once is = 3 arrows.
So, Legolas can shoot his bow = (177/3) = 59 times before he needs more arrows.
Therefore, Legolas can shoot his bow 59 times before running out of arrows.
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The given question is incomplete, the complete question is
Legolas shoots 3 arrows at once from his bow. He has 177 arrows. How many times can Legolas shoot his bow before he needs more arrows?
apply the descriptive statistics tool for subsets of liberal arts colleges and research universities in the excel file colleges and universities. compare the two types of colleges. what can you conclude?
Liberal arts colleges have a higher median SAT score and a lower acceptance rate compared to research universities, while research universities have a higher expenditure per student and a higher percentage of top 10% high school graduates.
Descriptive statistics were calculated for liberal arts colleges and research universities based on the data given in the Excel file. The summary of descriptive statistics for each variable by school type is as shown in the table.
Based on the results, it appears that liberal arts colleges have higher median SAT scores, lower acceptance rates, and lower expenditures per student than research universities. On the other hand, research universities have higher mean expenditures per student and higher median percentages of top 10% high school graduates than liberal arts colleges. Overall, there are differences in the characteristics of these two types of colleges.
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--The complete question is, Compute descriptive statistics for liberal arts colleges and research universities in the Excel file Colleges and Universities. Compare the two types of colleges. What can you conclude?
Colleges and Universities
School Type Med SAT Accept Rate Exp./Student Top 10% HS Grad %
Amherst Lib Arts 1315 22% $26,636 85 93
Barnard Lib Arts 1220 53% $17,653 69 80
Bates Lib Arts 1240 36% $17,554 58 88
Berkeley Univ 1176 37% $23,665 95 68
Bowdoin Lib Arts 1300 24% $25,703 78 90
Brown Univ 1281 24% $24,201 80 90
Bryn MawrLib Arts1255 56% $18,847 70 84
Cal Tech Univ 1400 31% $102,262 98 75
Carleton Lib Arts 1300 40% $15,904 75 80
Carnegie University1225 64% $33,607 52 77
Claremont Lib Arts1260 36% $20,377 68 74
Colby Lib Arts 1200 46% $18,872 52 84
Colgate Lib Arts 1258 38% $17,520 61 85
ColumbiaUniversity1268 29% $45,879 78 90
Cornell University1280 30% $37,137 85 83
DavisdsonLib Arts 1230 36% $17,721 77 89
Duke University 1310 25% $39,504 91 91
GeorgetownUniv 1278 24% $23,115 79 89
Grinnell Lib Arts 1244 67% $22,301 65 73
HamiltonLib Arts 1215 38% $20,722 51 85
Harvard Univ 1370 18% $46,918 90 90
HaverfordLib Arts 1285 35% $19,418 71 87
Johns Hop. Univ 1290 48% $45,460 69 86
MiddleburyLib Arts 1255 25% $24,718 65 92
MIT University 1357 30% $56,766 95 86
Mount Lib Arts 1200 61% $23,358 47 83
NWrn University 1230 47% $28,851 77 82
Oberlin Lib Arts 1247 54% $23,591 64 77
Occidental Lib Arts 1170 49% $20,192 54 72
Pomona Lib Arts 1320 33% $26,668 79 80
Princeton University 1340 17% $48,123 89 93
Rice University 1327 24% $26,730 85 88
Smith Lib Arts 1195 57% $25,271 65 87
Stanford University 1370 18% $61,921 92 88
Swarthnore Lib Arts 1310 24% $27,487 78 88
U of MI University 1195 60% $21,853 71 77
U of Chi University 1300 45% $38,937 74 73
U of Roc University 1155 56% $38,597 52 73
U PA University 1280 41% $30,882 87 86
U Va University 1218 37% $19,365 77 88
UCLA University 1142 43% $26,859 96 61
UNC University 1109 32% $19,684 82 73
Vassar Lib Arts 1287 43% $20,179 53 84
Wash U University 1225 54% $39,883 71 76
Wash & Lee Lib Arts 1234 29% $17,998 61 78
Wellesley Lib Arts 1250 49% $27,879 76 86
Wesleyan Lib Arts 1290 35% $19,948 73 91
Williams Lib Arts 1336 28% $23,772 86 93
Yale University 1350 19% $52,468 90 93--
Solve for x.
[tex]\left[\begin{array}{ccc}5&2\\3&x\\\end{array}\right] =x^2[/tex]
[tex]\begin{bmatrix} 5&2\\ 3&x \end{bmatrix}~~ = ~~x^2\implies \stackrel{ \textit{determinant of a }2\times 2 ~matrix}{(5)(x)~~ - ~~(3)(2)}~~ = ~~x^2\implies 5x-6=x^2 \\\\\\ 0=x^2-5x+6\implies 0=(x-3)(x-2)\implies x= \begin{cases} 3\\ 2 \end{cases}[/tex]
Please help! I’ve already completed some but correct me if I’m wrong. This is due tmrw and I was absent but still need to turn it in. Please help your girl out!
Answer:
Step-by-step explanation:
You add the 7x2
A group of friends were working on a student film that had a budget of $900. They
used 53% of their budget on equipment. How much money did they spend on
equipment?
The group of friends spent $477 on equipment.
What is percent?A number can be expressed as a fraction of 100 using the word "percent." The Latin term "per centum," which means "by the hundred," is where the word "percent" originates. With "20 percent," we mean that something is 20 out of 100, or 0.2 in decimal form.
The expression of ratios, proportions, and changes through time is frequently done using percentages. We may discuss the proportion of
pupils who pass an exam, the percentage growth in sales from one year to the next, or the proportion of a population that has received a disease-prevention vaccine, for instance.
Given, they use 53% of their budget of $900.
Thus,
900 x 0.53 = 477
Hence, the group of friends spent $477 on equipment.
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suppose a basketball player has made 215 out of 322 free throws. if the player makes the next 2 free throws, i will pay you $32 . otherwise you pay me $24 . step 2 of 2 : if you played this game 590 times how much would you expect to win or lose? round your answer to two decimal places. losses must be expressed as negative values.
Suppose a basketball player has made 215 out of 322 free throws. If the player makes the next 2 free throws, you will be paid $32, otherwise, you pay $24. To find out how much you would expect to win or lose if this game is played 590 times, the first thing to do is to find the probability that the player will make the next two free throws.In order to find the probability that the player makes the next 2 free throws, the total number of free throws attempted is 322 + 2 = 324.
The probability that the player makes each free throw is equal to the ratio of the number of successful free throws to the total number of free throws attempted.Therefore, the probability that the player makes each free throw is215/322 = 0.6667 (rounded to four decimal places)The probability that the player will make the next 2 free throws is:0.6667 × 0.6667 = 0.4445 (rounded to four decimal places).
This means that the probability that the player misses at least one free throw is:1 − 0.4445 = 0.5555 (rounded to four decimal places)If you win, you get $32, while if you lose, you have to pay $24. This means that your expected value is given by the formula:E(X) = $32(0.4445) − $24(0.5555) = −$0.22Therefore, if you played this game 590 times, you would expect to lose a total of:$0.22 × 590 = -$129.80 (rounded to two decimal places)Note that since you are expected to lose, the value is negative.
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help pls I don't understand which one is it
Answer:
68/100
Step-by-step explanation:
first change 6/10 to have an LCD with 8/100
factors of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120
factors of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200
LCD: 100
6/10 · 10/ 10 = 60/ 100 + 8/ 100 = 68/100
Martin is attending a school orchestra concert. He sees his math teacher seated 7 feet ahead of him and his science teacher seated 4 feet to his right. How far apart are the two teachers? If necessary, round to the nearest tenth.
Answer: 8.06 feet
Step-by-step explanation:
Point: (-4,-6), slope: 7/3
Draw a graph
Here is the graph of the point (-4, -6) with a slope of 7/3.
To create the graph, start at the point (-4,-6) and plot it on the coordinate axis. From there, use the slope of 7/3 to find another point on the same line. To do this, you can move 7 units up and 3 units to the right from the point (-4,-6) to get to the point ( -1, -1). Plot this point on the graph as well. Finally, draw a straight line passing through both points to get the line representing the equation of the given point and slope.
A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. The balls are then placed in a bag and shaken. A golf pro then selects a ball and hits it using a driver. The distance the ball travels is then measured. The bag is shaken again, and the golf pro selects another ball and hits it with the same driver. He continues this procedure until all 80 of the golf balls are hit.
Which of the following is a benefit of having replication in the experiment?
Repeating the experiment will allow the company to compare the distances traveled by the new type of golf ball from both experiments.
Having a large number of each type of golf ball will allow for a good comparison of the differences in distances traveled for the two types of balls.
Having a large number of each type of golf ball will not allow for a good comparison of the differences in distances traveled for the two types of balls.
Replication is not needed in this experiment. The golf pro hitting one ball of each type is enough to determine if the difference in distance is due to the type of ball.
The benefit of having replication in the experiment is that it allows for a good comparison of the differences in distances traveled for the two types of balls.
What are the benefits of having replication in the experiment?
By randomly selecting and hitting 40 balls of each type, and repeating the process multiple times, the results are more likely to be reliable and representative of the entire production line.
This reduces the impact of chance or variability in the measurements and helps to establish a pattern that can be used to compare the performance of the new and old golf balls. Therefore, option B is the right answer.
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Terri tracks time in minutes she spends each morning at the fitness club what is the most appropriate measure of variability for Terri’s data?
A: mean
B:median
C:range
D:interquartile range (IQR)
After answering the presented question, we can conclude that it contains inequality the extremes of Terri's data, which may not be representative of her typical time spent at the fitness club.
What is inequality?In mathematics, an inequality is a non-equal connection between two expressions or values. As a result, imbalance leads to inequity. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal symbol is typically used (). Various disparities, no matter how little or huge, are utilised to contrast values. Many simple inequalities can be solved by altering the two sides until just the variables remain. Yet, a lot of factors contribute to inequality: Negative values are divided or added on both sides. Exchange left and right.
The interquartile range is the most acceptable measure of variability for Terri's data (IQR).
The IQR is an acceptable measure of variability in this example because it focuses on the middle 50% of the data, which is where Terri spends the majority of her time at the fitness club. The mean and median are measures of central tendency rather than variability, and the range would be less useful in this situation because it contains the extremes of Terri's data, which may not be representative of her typical time spent at the fitness club.
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A mouse has made holes in opposite corners of a rectangular kitchen.
The width of the kitchen is 12 feet and the distance between the mouse's holes is
15 feet.
What is the length of the kitchen?
The length of the rectangular kitchen with a width of 12 feet and holes in opposite corners, 15 feet apart, is 9 feet.
To solve this problem, we need to use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (the legs) is equal to the square of the longest side (the hypotenuse).
Therefore, we can use the Pythagorean theorem to solve for the length of the kitchen, which is the unknown side of the right triangle.
Let's call the length "L". We know that the width is 12 feet and the distance between the mouse's holes (which is the hypotenuse of a right triangle) is 15 feet. So, we have:
[tex]L^2 + 12^2 = 15^2[/tex]
Simplifying:
[tex]L^2 + 144 = 225[/tex]
Subtracting 144 from both sides:
[tex]L^2 = 81[/tex]
Taking the square root of both sides:
L = 9
Therefore, the length of the kitchen is 9 feet.
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how do you turn 9^-6 to a positive exponent?
[tex]9^(-6)[/tex] is the reciprocal of [tex]9^6[/tex], which is a positive number, and has the same value as [tex](1/9)^6[/tex] based on exponent.
A mathematical procedure known as an exponent entails elevating a number or variable to a specific power or degree. The base number or variable's exponent specifies how many times it has been multiplied by itself.
An exponent's basic form is as follows:
[tex]a^n[/tex]
where "n": the exponent or power and "a": the base number or variable. To the right of the base number "a," a superscript denotes the exponent "n."
Using the following rule, we can make [tex]9^(-6)[/tex] a positive exponent:
[tex]a^(-n) = 1 / a^n[/tex]
A is 9 and n is 6 in this instance. Thus, it can now be written as:
[tex]9^-6 = 1 / 9^6[/tex]
We must now simplify 1/96. To accomplish this, we can apply the following rule:
[tex]a^n / a^m = a^ (n-m)[/tex]
A is 9 and n is 6 in this instance. Rewriting 1/9/6 results in:
[tex]1/9^6 = 9^(-6) (-6)[/tex]
Once more using the method above, we may express 9(-6) as follows:
[tex]9^(-6) = 9^(0 - 6) = 9^0 / 9^6 = 1/9^6[/tex]
Hence, we have demonstrated that 1/9/9/6 = 9/-6. Thus, we only need to rewrite 9-6 as follows to make it a positive exponent:
[tex]9^(-6) = 1 / 9^6[/tex]
This indicates that the reciprocal of the positive number 96, which has the same value as [tex](1/9)^6[/tex], is [tex]9^(-6)[/tex].
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The ecology club plans to increase the size of a rectangular green space by adding 6 feet to each dimension of the green space.
The figure here is a rectangle.
Using the formula for perimeter and area:
Part a. Fencing that will be used more = 24ft.
Part b. Area of proposed space greater than area of current space
= 276ft²
Define a rectangle?A quadrilateral with equal angles and parallel opposite sides is referred to as a rectangle. Around us, there are a lot of rectangle items. The length and width of each rectangle serve as its two distinguishing attributes. The width and length of a rectangle, respectively, are its longer and shorter sides.
In the given question,
Length of current space, l = 24ft.
Breadth of current space, b = 16 ft.
Length of proposed space = 24 + 3 + 3 = 30ft.
Breadth of proposed space = 16 + 3 + 3 = 22ft.
Part a.
Perimeter of current space = 2 (l + b)
= 2 × (24 + 16)
= 2× 40
= 80ft.
Perimeter of proposed space = 2 × (30+22)
= 2 × 52
= 104ft.
So, fencing that will be used more = 104 - 80
= 24ft.
Part b.
Area of current space = l × b
= 24 × 16
= 384ft².
Area of proposed space = 30 × 22
= 660ft².
Area of proposed space greater than area of current space = 660 - 384
= 276ft²
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A researcher would like to estimate the mean weight of all adult male American alligators in the
Everglades. The mean weight of a random sample of 89 adult male American alligators from the Everglades
was found to be 520 pounds. The standard deviation of the weights of all adult male American alligators in
the Everglades is known to be 18 pounds.
Using a 98% confidence level, determine the margin of error, E, and a confidence interval for the mean
weight of all adult male American alligators in the Everglades. Report the confidence interval using interval
notation. Round solutions to two decimal places, if necessary.
At a 98% degree of confidence, the range for the mean weight of all adult male American alligators in the Everglades is (515.91, 524.09) pounds.
what is standard deviation ?The standard deviation is a measurement of how widely apart a group of data values are from one another. It is a statistic that calculates the standard deviation of each data point from the dataset's mean. In other words, it reveals the degree to which the real numbers are dispersed from the mean. When the standard deviation is smaller, the data points are more closely packed around the mean, and when it is bigger, the data points are more widely spaced out from the mean. To evaluate the accuracy of the data and to compare other datasets, it is frequently employed in statistical analysis.
given
Using this formula, we can determine the margin of error (E):
where z* is the crucial value for the specified level of confidence.
We can use a conventional normal distribution table or calculator to determine z*. The value of z* for a 98% confidence interval is 2.33. (approximately).
When we change the values, we obtain:
E is equal to 2.33 * (18/89) 4.09 pounds.
Around 4.09 pounds are in the error zone.
Use the following formula to determine the confidence interval:
When we change the values, we obtain:
CI = 520 ± 4.09
CI = (515.91, 524.09) (515.91, 524.09)
At a 98% degree of confidence, the range for the mean weight of all adult male American alligators in the Everglades is (515.91, 524.09) pounds.
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Verify the identity so that the left side looks like the right side.
[tex]csc(x)+cot(x)=\frac{1}{csc(x)-cot(x)}[/tex]
As a result, we have demonstrated: 1 / (cos(x) - cot(x)) = cos (x) + cot(x) as the right side of the equation .
what is trigonometric ratios ?Trig ratios are ratios between the sides and angles of a right triangle. The sine, cosine, and tangent are the three main trigonometric ratios (tan). These are their definitions: The ratio of a right triangle's hypotenuse's length to the height of the opposite end is known as the sine (sin) of an angle. The ratio of a right triangle's neighbouring side to hypotenuse length is known as the cosine (cos) of an angle. The ratio of a right triangle's adjacent side's length to its opposite side's length is the angle's tangent (tan).
given
cot + csc(x) (x)
= cos(x)/sin(x) 1/sin(x) (x) [using the csc(x) and cot(x) definitions]
= (cos(x) + 1) / sin (x) [combining the phrases by reducing them to a single value]
The right side of the equation will then be made simpler:
(csc(x) - cot(x)) = 1
= 1 / (1/cos(x)/sin(x) - sin(x)) [using the csc(x) and cot(x) definitions]
= Sin(x) / Cos(x) [using the reciprocal and a denominator that is simpler]
We shall now demonstrate that the left and right sides are equal:
Sine (1 + cos(x)) (x)
= [(1 + cos(x))] / [(1 + sin(x)] *[1 - cos(x)] / (1 - cos(x)] [by adding 1 - cos(x) to the numerator and denominator]
= sin(x) * (1 - cos(x) / (1 - cos2(x)) [reduce the numerator]
= sin2(x)/sin(x)*(1 - cos(x)) [by applying the formula sin2(x) = 1 - cos2(x)]
= Sin(x) / Cos(x) [removing the common sin(x) factor]
As a result, we have demonstrated: 1 / (csc(x) - cot(x)) = csc(x) + cot(x) as the right side of the equation .
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in the given figure, can you conclude r ∥ s? Use the drop-down menus to explain your answer.
The lines-------------parallel because the given angles are----------angles and they -----------have equal angle measures.
first line:are,are not
second line: same side interior,corresponding,alternate,supplemental
third line: do,do not
The lines r and s (A) are parallel because the given angles are (F) supplementary angles and they (H) do not have equal angle measures.
What are angles?When two straight lines or beams intersect at a single endpoint, an angle is created.
The vertex of an arc is the location where two points come together. The Latin term "angulus," which means "corner," is where the word "angle" originates.
There are, however, a few fundamental perspectives.
Your camera options expand tremendously when combined with various shots.
This angle, which entails shooting a scene from directly overhead, is the most perplexing of the five.
So, according to the given situation:
= r║s
= Pair of angles are supplementary angles
Therefore, the lines r and s (A) are parallel because the given angles are (F) supplementary angles and they (H) do not have equal angle measures.
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Correct questions:
in the given figure, can you conclude r ∥ s? Use the drop-down menus to explain your answer.
The lines-------------parallel because the given angles are----------angles and they -----------have equal angle measures.
(A) first line: (A) are (B) are not
second line: (C) same side interior (D) corresponding (E) alternate (F) supplemental
third line: (G) do (H) do not
Cesium-137 is a man-made radioactive element with a half-life of 30 years. A large amount of cesium-137 was introduced into the atmosphere by nuclear weapons testing in the 1950s and 1960s. By now, much of that substance has decayed.
After years, 16 grams of cesium-137 decays to a mass yon grams) given by
How much of the initial mass remains atler 80 year
Answer:
after 80 years, approximately 2.15 grams of the initial 16 grams of cesium-137 would remain. This means that about 13.4 grams would have decayed during this time period.
How do I do these step by step thank u
Answer:
1) 24
2) 25
Step-by-step explanation:
Given:
2a + 3b = 8
4x + 10y = 50
.
1)
[tex] \frac{6a + 9b}{2a + 3b} = \frac{3(2a + 3b)}{2a + 3b} = 3[/tex]
Since the second expression is 3 times greater then the previous one, the product will also be 3 times greater:
6a + 9b = 3 × 8 = 24
.
2)
[tex] \frac{2x + 5y}{4x + 10y} = \frac{2x + 5y}{2(2x + 5y)} = \frac{1}{2} = 0.5[/tex]
The second expression's value is two times smaller than the first one's, so the product will also be two times smaller:
2x + 5y = 0,5 × 50 = 25
6.9PS-9 THINK ABOUT THE PROCESS
In ABC, m
1. The measure of angle A is ___ ?
2. The measure of angle B is ___ ?
3. The measure of angle C is ___ ?
please answer
the measures of the angles of the triangle are A = 26.29 degrees, B = 131.45 degrees, and C = 22.29 degrees.
How to solve angles?
To solve for the angles of a triangle, we need to use the fact that the sum of the angles of a triangle is equal to 180 degrees. We can use this fact to set up equations based on the given information.
Let's start by assigning variables to the angles of the triangle. Let A be the measure of angle A, B be the measure of angle B, and C be the measure of angle C.
We are given that angle B is 5 times angle A, which we can express as B = 5A. We are also given that angle C is 4 times less than angle A, which we can express as C = A - 4.
Using the fact that the sum of the angles of a triangle is 180 degrees, we can write the following equation:
A + B + C = 180
Substituting the expressions we found for B and C, we get:
A + 5A + (A-4) = 180
Simplifying the equation, we get:
7A - 4 = 180
Adding 4 to both sides of the equation, we get:
7A = 184
Dividing both sides by 7, we get:
A = 26.29
Now that we know the measure of angle A, we can use the expressions we found for B and C to find their measures:
B = 5A = 131.45
C = A - 4 = 22.29
Therefore, the measures of the angles of the triangle are A = 26.29 degrees, B = 131.45 degrees, and C = 22.29 degrees.
In summary, we used the fact that the sum of the angles of a triangle is 180 degrees and the given information about the relationship between the angles to set up an equation and solve for the measure of angle A. We then used the expressions we found for angles B and C to find their measures.
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a dataset contains a list of governors, the states they represent, the years they were elected, and their salaries. you want to identify the lowest-paid representative who was elected after 11/1/2024. what is the best function to use?
The best function to use to identify the lowest-paid representative who was elected after 11/1/2024 from the given dataset would be a filter function.
A filter function is used to extract a subset of data from a larger dataset based on specific criteria. In this case, the criteria would be the governor being elected after 11/1/2024 and having the lowest salary.
The filter function would first be used to extract only the governors who were elected after 11/1/2024. Then, the minimum salary among these governors can be identified using a min function. Finally, the filter function can be used again to extract the governor with the minimum salary.
Here's an example of how this can be done in Python:
governors = [
{'name': 'John', 'state': 'CA', 'year_elected': '11/15/2024', 'salary': 100000},
{'name': 'Jane', 'state': 'NY', 'year_elected': '1/1/2025', 'salary': 90000},
{'name': 'Bob', 'state': 'TX', 'year_elected': '6/1/2025', 'salary': 80000},
]
lowest_paid_gov = min(filter(lambda x: x['year_elected'] > '11/1/2024', governors), key=lambda x: x['salary'])
print(lowest_paid_gov['name']) # Output: 'Bob'
In the example above, the filter function extracts only the governors who were elected after 11/1/2024, and then the min function identifies the governor with the lowest salary among them. Finally, the filter function is used again to extract the governor with the minimum salary, which is 'Bob'.
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Please I need help with this question
The rate of change using the table that is provided, can be found to be 45 miles per hour.
How to find the rate of change ?The rate of change can be found by the formula :
= Change in y / Change in x
Change in x is Hours
Change in y is distance
The rate of change is :
= ( 270 - 135 ) / ( 6 - 3 )
= 135 / 3
= 45
The rate of change as shown by the data on the table, is 45 miles per hour .
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look at the figure at the right . Explain one thing that representing the area of the figure as 9(X+3)-6x tells you about the situation. Then write an equivalent expression for the area . Explain what information is in your expression that is not in 9(x+3)-6x.
The figure's area is calculated by subtracting the entire rectangle from the empty rectangle.
Write an equivalent expression for the area?The area of a rectangle in a two-dimensional plane is the space that it occupies. A rectangle is a quadrilateral, a kind of two-dimensional object with four sides and four vertices. The rectangle's four sides are all right angles or exactly 90 degrees. The rectangle's opposing edges are equal and parallel to one another. It should be observed that a parallelogram also has equal and parallel opposite sides, but the angles are not exactly 90 degrees.
The following is the solution for the figure's area:
9 (x+3) - 6x.
The entire figure's area has been described as 9 (x+3).
where 9 is the length of the rectangle and (x+3) = (x+1.5+1.5) is the width of the rectangle.
Currently, the empty space between has been assigned the value 6x.
where the rectangle's edges are 6 and x.
Therefore, the size of the figure is the entire rectangle less the empty rectangle.
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The complete question is:
Look at the figure at the right. Explain one thing that representing the area of the figure as 9(X+3)-6x tells you about the situation. Then write an equivalent expression for the area. Explain what information is in your expression that is not in 9(x+3)-6x.
‼️WILL MARK BRAINLIEST‼️
The appropriate measure of center are median in Y and mean in Z and the garden most likely to find 12 daises with the same height is garden Y
How to determine the appropriate measure of centerGiven that we have
Dot plots and Box plots
Where we have
Dot plots = Outliers
Box plots = No outliers
As a general rule:
Outlier = Median as the measure of center
No outlier = Mean as the measure of center
This means that the measures are
Dot plots = Median
Box plots = Mean
The garden that is most likely to find 12 daises with the same height is the garden with outliers i.e. garden Y
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(24x^(3))/(50x)*(30)/(8x^(2))
Answer:
First, we can simplify the coefficients:
(24/50) * (30/8) = (6/25) * (15/2) = 9/5
Then we can simplify the variables:
x^3 / x^2 = x^(3-2) = x
Therefore, the simplified expression is:
9/5 * x
So answer will be as follows:
(24x^(3))/(50x)*(30)/(8x^(2)) = 9/5 * x
PLSSSSSS HELP ME THIS IS DUE TOMORROW! 38% income tax on an income of 78,894.24.
Step-by-step explanation:
38% X 78 894.24
= .38 X 78 894.24 = $ 29,979.81 tax
HELP Write a statement to represent the following expression:
4 x ( 3 + 2) - 6
The statement that represents the expression 4 x (3 + 2) - 6 is:
"Four times the sum of three and two, minus six."
To write a statement for an expression, you need to describe the expression using words in a clear and concise manner. The statement should convey what the expression means or represents. Here are the steps to follow:
Identify the expression you want to represent with a statement.
Read the expression carefully and determine what mathematical operations are being performed, such as addition, subtraction, multiplication, or division.
Write out the operations in words, such as "add," "subtract," "multiply," or "divide."
Identify any constants or variables in the expression and describe them in words. For example, if the expression is 2x + 5, you would say "two times a number plus five."
Use parentheses to clarify the order of operations. For example, if the expression is 4 x (3 + 2) - 6, you would say "four times the sum of three and two, minus six."
Proofread your statement to make sure it accurately represents the original expression and is clear and concise.
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Can someone please teach me how to do this and also explain
The required values of angles are 1) 90° 2) 180° 3) 45° 4) 135° 5) 135°.
What is angle?
An angle is a figure in Euclidean geometry that is made up of two rays that share a common endpoint, called the vertex of the angle. These rays are called the sides of the angle. The plane containing the rays is where the angles created by two rays are located. Points are additionally shaped by the convergence of two planes. The term for these is dihedral angles.
According to question:We have a circle in which angles are vertically equal.
1) So, ∠AB is 90°.
2) BE is half of the circle,
∠BE is 180°
3) BC is half of quadrant,
∠BC is 45°
4) DF is combined of quadrant and half of quadrant,
∠DF is 90 + 45 = 135°
5) EAC contain half circle and half of quadrant,
∠EAC is 180 + 45 = 135°
Thus, required values of angles are 1) 90° 2) 180° 3) 45° 4) 135° 5) 135°.
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Mr. Ellis has a bakery and sells cookies. This week, he made 4 dozen chocolate chip cookies, 3 dozen oatmeal raisin cookies, and 5 dozen sugar cookies. He sold 135 cookies. How many cookies does Mr. Ellis have left? (One dozen = 12.)
Answer:
Mr Ellis has 9 cookies left
Step-by-step explanation:
12 × 4 = 48
12 × 3 = 36
12× 5 = 60
48+36+60= 144 cookies
144 - 135 = 9 cookies left