Answer:
B: {-6, -2, 2}
Step-by-step explanation:
Domain = input values (x-values)
Given elements: (-6, -7) (-2, -3) (2, 3)
The x-values of the given elements are: -6, -2 and 2
Therefore, the domain is {-6, -2, 2}
The table below shows the number of raincoats manufactured at a factory over a period of time.
Number of Days Number of Raincoats
5 200
6 225
7 250
8 275
9 300
10 325
11 350
12 375
The values will be graphed on the following grid.
An empty grid graph with the number of days taken on the x-axis, and the number of raincoats manufactured taken on the y-axis.
Which is the most appropriate choice of origin and scale for this graph?
A.
x-axis scale: 1 unit = 1 day
y-axis scale: 1 unit = 100 raincoats
origin: (0 days, 100 raincoats)
B.
x-axis scale: 1 unit = 3 days
y-axis scale: 1 unit = 100 raincoats
origin: (5 days, 0 raincoats)
C.
x-axis scale: 1 unit = 3 days
y-axis scale: 1 unit = 25 raincoats
origin: (0 days, 0 raincoats)
D.
x-axis scale: 1 unit = 1 day
y-axis scale: 1 unit = 25 raincoats
origin: (5 days, 200 raincoats)
For given dataset, Option A is the best choice of origin and scale for the graph.
What exactly is a data set?
A dataset is a collection of data that is organized and stored in a specific way for easy analysis and interpretation. It can be thought of as a set of observations or measurements collected for a specific purpose or study. A dataset can contain various types of data, such as numerical, categorical, or text data, and can be organized in different formats, such as spreadsheets, tables, or databases. Data sets are used in various fields, including statistics, machine learning, and data analysis, to derive insights and make informed decisions.
Now,
A is the most appropriate choice of origin and scale for this graph.
The x-axis represents the number of days, which is a discrete variable that is usually measured in whole units, so it makes sense to have a scale of 1 unit = 1 day.
The y-axis represents the number of raincoats, which is a continuous variable that ranges from 200 to 375 in this case. A scale of 1 unit = 100 raincoats would allow us to show the range of data without having a very large graph.
The origin is placed at (0 days, 100 raincoats) so that the entire range of data can be shown on the graph, without any data points being cut off.
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Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
What is the height, h, of the triangular prism?
Round your answer to the nearest tenth.
The height is
units.
Answer: The height is 3 units.
Step-by-step explanation:
By using the give figure we can form right angle out of the whole figure with a base of 4 and an hypotenuse of 5.
By using this information we can use the Pythagorean Formula to find the height
a^2 + b^2 =c^2 a= base, b = height and c will be the hypotenuse.
4^2 + b^2 = 5^2 Solve for B
16 + B^2 = 25
-16 -16
b^2 = 9
b = \(\sqrt{9}\)
b = 3
The height, h, of the triangular prism is 3 units.
What is an isosceles triangle?Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.
Given that, vertical cross-section of the triangular prism shown in the given figure is an isosceles triangle.
Here, equal sides of an isosceles triangle is 5 units and base of the isosceles triangle is 8 units.
By using Pythagoras theorem,
5²=h²+4²
25=h²+16
h²=9
h=3
Therefore, the height, h, of the triangular prism is 3 units.
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Determine which of the following describes nominal data.
i). Michaelangelo's sells small, medium, large, and jumbo pizzas.
ii). Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms.
i) Michaelangelo's sells small, medium, large, and jumbo pizzas. - Not nominal data.
How to identify nominal data?Nominal data refers to a type of categorical data where values are assigned to distinct categories or labels without any inherent order or numerical significance. In the given options, both i) and ii) involve categorical information, but only option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") describes nominal data.
In option i), the sizes of pizzas (small, medium, large, and jumbo) can be considered ordinal data as they have a specific order and imply a relative size difference. Ordinal data possesses a sequential arrangement where the categories have a meaningful relationship or hierarchy.
On the other hand, option ii) presents toppings (pepperoni, black olives, and mushrooms) as distinct categories without any inherent order or hierarchy.
Each topping represents a separate label or category, making it an example of nominal data.Therefore, option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") accurately describes nominal data.
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How do you graph an inequality example?
The graph of an inequality is shown below -
What is an inequality equation?The graph of a two-variable inequality is the set of points that describe all solutions to the inequality. The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.
It's a line with a shaded side on one side to show which x-y pairings are the inequality's solutions.
Example -
Let us take a equation, 4x + 8y ≤ -24
Now, solve the above equation in the form of slope-intercept.
4x + 8y ≤ -24
or, 8y ≤ - 4x - 24
or, y ≤ -(1/2)x - 3
Now, the graph becomes according to the slope-intercept form is:
Here we noticed that,
This side of the inequality is shaded below (instead of above) because y is lower than (or equal to) the other side.
Because working with a "or equal to" inequality, draw a solid line rather than a dashed one. Points on the solid line denote locations where the inequality has been solved.
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Which measure of central tendency is most appropriate when it is desired to minimize the effect of a few extreme (very high or very low) scores?group of answer choicesmedian
When it is required to minimize the effect of a few extreme scores, median is the measure of central tendency which is the most appropriate.
This is due to the fact that the median isn't influenced by extreme values, which means it is the middle value when the observations are ordered from least to greatest.There are several measures of central tendency, including the mode, median, and mean.
The most common measure is the mean, but it is greatly affected by the presence of a few very high or very low scores.To ensure that the mean isn't skewed too much by these scores, the median is a better choice. The median is the middle number in a data set when the observations are sorted from smallest to greatest.
In this way, if there are extremely high or low scores, they are not going to influence the median significantly as compared to the mean. Hence, we can say that the median is the most appropriate measure of central tendency when it is desired to minimize the effect of a few extreme scores.
The measure of central tendency that is most appropriate when it is desired to minimize the effect of a few extreme (very high or very low) scores is the median.
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What are the zeros of the function h (x) = x² + 3x - 8?
A
x = -8 and x = -2
OB
x= -8 and x = 2
cx = -2 and x = 8
OD x = 2 and x = 8
The following are the zeros for the function h (x) = x2 + 3x - 8: - x= -4 and x=2.
Describe functions.Given a collection of inputs X (domain) and a set of potential outputs Y (codomain), a function is more technically defined as a set of ordered pairings (x,y) where xX and yY with the caveat that there can only be one ordered pair with the same value of x. The function notation f:XY can be used to express that f is a function from X to Y.
The function's zero is a value of x that makes it equal to zero. In other words, the equation f(x) = 0 leads to a zero.
By putting h(x) equal to zero and figuring out x, we may determine the zeroes for the function h(x) = x2 + 3x - 8.
h(x) = x² + 3x - 8 = 0
We may factor the left side of the equation to find x:
x² + 3x - 8 = (x-2)(x+4) = 0
We set each factor to zero and solve for x to discover the zeroes:
x-2 = 0 or x+4 = 0
x = 2 or x = -4
Consequently, the function's zeros are x = 2 and x = -4.
So, A is the right response. x = -4 and x = 2
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The complete question is
What are the zeros of the function h (x) = x² + 3x - 8?
A. x = -4 and x = -2
B. x= -8 and x = 2
C. x = -2 and x = 8
D. x = 2 and x = 8
Is the answer A B C or D?
Answer:
It would 90 counterclockwise
Step-by-step explanation:
find the decimal number exactly halfway between 1.01 and 1.02
Answer:
1.015
Step-by-step explanation:
Just add the number after the hundredth digit, since 5 is halfway we would put the number 5 after the 1.01.
Answer:
0.01
Step-by-step explanation:
because if u subtract 1.01 from 1.02 it will give you the answer
Select the expression that can be used to find the price of a $350 telescope after a 48% markup.
A.350(48)
B.350(4.8)
C.350(.48)(350)
D.350(.48)+350
Answer:
c
Step-by-step explanation:
you have to turn the48 to a decimal
Fill in the missing number. % of 98 = 49
50%
since 98/2 = 49
Thats it
A 2-yard piece of linen cost $34.48 what is the cost per foot
Answer:
$5.75 per foot
Step-by-step explanation:
if 2 yards is 6 feet, 34.48 divided by 6 = 5.74666667 rounded to the nearest tenth is 5.75
i dont know how to do this question please help!
Answer: 1/6
Step-by-step explanation: I think you multiply 3 times 3 because the other circle circle has an option the first doesn't have have.
public class BinarySearch \{ public static void main(Stringll args) f int [1]yl ist ={1,2,3,7,10,12,20}; int result = binarysearch ( inylist, 20); if (result =−1 ) System, out, println("Not found:"); else System.out.println("The index of the input key is " + result+ ". "): y public static int binarysearch(int]l List, int key) \{ int low =0; int high = iist. length −1 while (high >= low) \& int mid =( low + high )/2; if (key < List [mid] high = mid −1; else if (key =1 ist [ mid ] ) return inid; else low = mid +1; return −1; // Not found \} l TASK 4: Binary Search in descending order We have learned and practiced the implementation of the binary search approach that works on an array in ascending order. Now let's think about how to modify the above code to make it work on an array in descending order. Name your new binary search method as "binarysearch2". Implement your own code in Eclipse, and ensure it runs without errors. Submit your source code file (.java file) and your console output screenshot. Hint: In the ascending order case, our logic is as follows: int mid =( low + high )/2 if ( key < list [mid] ) else if (key = ist [mid]) return mid; In the descending order case; what should our logic be like? (Swap two lines in the above code.)
The task involves modifying the given code to implement binary search on an array in descending order. The logic of the code needs to be adjusted accordingly.
The task requires modifying the existing code to perform binary search on an array sorted in descending order. In the original code, the logic for the ascending order was based on comparing the key with the middle element of the list. However, in the descending order case, we need to adjust the logic.
To implement binary search on a descending array, we need to swap the order of the conditions in the code. Instead of checking if the key is less than the middle element, we need to check if the key is greater than the middle element. Similarly, the condition for equality also needs to be adjusted.
The modified code for binary search in descending order would look like this:
public static int binarysearch2(int[] list, int key) {
int low = 0;
int high = list.length - 1;
while (high >= low) {
int mid = (low + high) / 2;
if (key > list[mid])
high = mid - 1;
else if (key < list[mid])
low = mid + 1;
else
return mid;
}
return -1; // Not found
}
By swapping the conditions, we ensure that the algorithm correctly searches for the key in a descending ordered array.
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Arianys is flying a kite, holding her hands a distance of 3 feet above the ground and letting all the kite’s string play out. She measures the angle of elevation from her hand to the kite to be 34
∘
. If the string from the kite to her hand is 110 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
The kite will be 61.20 feet above the ground when the string from the kite to her hand is 110 feet long.
A right-angled triangle is a triangle with three sides and three angles, one of which is 90°.
Trigonometric ratios are used to demonstrate the connection between the sides and angles of a right-angled triangle.
Let h denote the perpendicular distance between the top of the kite and her hand. The angle of elevation = 34°. Hence:
sin(34) = h/110
h = 58.20 feet
The distance from the kite to the ground = 58.20 + 3 = 61.20 feet
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A rancher wants to fence in an area of 1,300,000 square feet in a rectangular field and then divide it in half with a fence down the middle parallel to one side. What is the shortest length of fence that the rancher can use
The shortest length of fence is thus equal to P1 = x + 1,300,000/x.
Let the width of the rectangular field be "x" feet and the length be "y" feet, then the area of the field, A = x y square feet. The area of the field is given as 1,300,000 square feet, so we can write; x y = 1,300,000 Therefore, y = 1,300,000/x feet. Now, if we divide the rectangular field into two halves parallel to one side, we can write the new dimensions of each half as follows: Half 1: Length = x, Width = y/2 = 1,300,000/2x = 650,000/x Half 2: Length = x, Width = y/2 = 1,300,000/2x = 650,000/x
The total length of fence needed to enclose the rectangular field is given by; P = 2x + 2y = 2x + 2(1,300,000/x)P = 2x + 2(1,300,000/x)The total length of fence needed to divide the rectangular field into two halves is given by;P1 = x + 2(650,000/x)P1 = x + 1,300,000/x Thus, the shortest length of fence that the rancher can use is the length of the fence needed to divide the field into two halves. Therefore;P1 = x + 1,300,000/x.
The shortest length of fence is thus equal to P1 = x + 1,300,000/x.
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Help help help help help help help help help
Answer: a: 23.4
Step-by-step explanation:
Answer:
A.23.4
Step-by-step explanation:
first find the volume of the tank 18x12x25=5400 then find how many gallons of water tank can hold 5400/231=23.4
hope this helps have a blessed day :)
What is the measure of arc e f c? 107° 180° 253° 270°
The declaration states that the value of Arc EFC = 253°.
What does a numerical number mean?A measure is indeed a quantitative concept used to express how large a collection is. Each unique measure represents a different method for determining how large a collection is. It would initially appear that a set's cardinality is the only logical way to determine its number.
We can tell we are working with a circular that has 360 degrees because of the connection.
We can infer that we have it if we look at that file.
Arc EFC
Arc CD
Arc DE
And everything together give us 360,
Arc EFC + Arc CD + Arc DE = 360
If we examine the figure again, we can see that the central angle of an intercepted arc is identical to the arc's measure.
Arc CD is 90 degrees since the central angle is 90 degrees given
Arc DE is 17 degrees
Arc EFC + Arc CD + Arc DE = 360
If we input all the figures
Arc EFC + 90 + 17 = 360
Arc EFC + 107 = 360
Arc EFC = 360 - 107
Arc EFC = 253
Therefore, Arc EFC = 253°
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The correct questions is:
Circle O, and are diameters. Arc ED measures 17°. Circle O is shown. Line segments F C and A E are diameters. Line segments C O and B O are radii. Point B is between points A and C, and point C is between points E and C. Angle D C is a right angle. What is the measure of Arc E F C? 107° 180° 253° 270°
* Ono 3 b) P and are the subsets of universal set U. If n (p) = 55% n (Q) = 50% and n(PUO)complement = 15% find: (i) n(PUQ) (ii) n(PDQ) (iii)n(only P) iv. n(only Q).
The probability of the sets are solved and
a) n(P U Q) = 85%
b) n(P ∩ Q) = 20%
c) n(only P) = 35%
d) n(only Q) = 30%
Given data ,
P and are the subsets of universal set U
And , n (p) = 55% n (Q) = 50% and n(PUO)complement = 15%
Now , we'll use the formula for the union and intersection of sets:
n(P U Q) = n(P) + n(Q) - n(P ∩ Q)
n(P ∩ Q) = n(P) + n(Q) - n(P U Q)
n(only P) = n(P) - n(P ∩ Q)
n(only Q) = n(Q) - n(P ∩ Q)
We're given that:
n(P) = 55%
n(Q) = 50%
n(P U Q)' = 15%
To find n(P U Q), we'll use the complement rule:
n(P U Q) = 100% - n(P U Q)'
n(P U Q) = 100% - 15%
n(P U Q) = 85%
Now we can substitute the values into the formulas above:
(i)
n(P U Q) = n(P) + n(Q) - n(P ∩ Q)
n(P ∩ Q) = n(P) + n(Q) - n(P U Q)
n(P ∩ Q) = 55% + 50% - 85%
n(P ∩ Q) = 20%
(ii)
n(P ∩ Q) = 20%
(iii) n(only P) = n(P) - n(P ∩ Q)
n(only P) = 55% - 20%
n(only P) = 35%
(iv)
n(only Q) = n(Q) - n(P ∩ Q)
n(only Q) = 50% - 20%
n(only Q) = 30%
Hence , the probability is solved
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Tasha has a gift card to buy tickets to the movie theater. The initial value of the gift card is $120 . The function M(x)=120-12x represents the amount of money, M , in dollars, that is still left on the gift card after purchasing x movie tickets at a cost of $12 each.
Complete the statements.
The value of is 60/-60 which is viable/not viable in terms of the given context.
The solution to the linear function M(x) = 180 is of x = -5.
What is a Linear Function Equation?The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.
In this problem, the function is defined as follows:
M(x) = 120 - 12x.
M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.
The domain of the situation is given as follows:
x ≥ 0. {discrete}
As the number of tickets cannot assume negative neither decimal values.
The equation is:
M(x) = 180.
The solution is calculated as:
120 - 12x = 180
12x = -60
x = -60/12
x = -5.
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Answer this question based on the number line shown.
B
C
D
The distance from a point to point C is 1, and the distance from that same point to point B is 4. The point must be
O between D and A
• between C and A
O point D
L
• point A
Answer:
between D and A of it might be c
Prove that the set of all numbers of the form a+b*sqrt(2), where a and b are integers, is countable. Hint: You may first use the fact that sqrt(2) is irrational to show that the function f(a; b) = a + b*sqrt(2) is one-to-one and onto from the set Z Z = {(a,b)} to the set of numbers {a+b*sqrt(2)} being counted. This reduces one to proving that Z Z is countable.
The set of all numbers of the form a+b*sqrt(2), where a and b are integers, is countable.
This can be proven by first showing that sqrt(2) is irrational, which implies that the function f(a; b) = a + b*sqrt(2) is one-to-one and onto from the set Z Z = {(a,b)} to the set of numbers {a+b*sqrt(2)}.
This reduces the proof to showing that Z Z is countable. Z Z is a subset of Z x Z and Z x Z is countable, as it can be put into a one-to-one correspondence with the set of natural numbers. Thus, there is a bijection between Z x Z and the set of numbers {a+b*sqrt(2)}, which implies that the set of numbers a+b*sqrt(2) is countable.
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3x + 25 = 2(4x – 10) solve step by step
Answer:
x=9
Step-by-step explanation:
3x + 25 = 2(4x – 10)
3x + 25 = 8x-20
3x-8x=-20-25
-5x=-45
5x=45
x=9
Please help I beg show work
A 85.7%
B 21.1%
C 64.6%
D 35.4%
Given:
Total number of students = 147
Number of students taking math = 95
Number of students taking science = 73
Number of students taking both = 52
To find:
The theoretical probability of randomly choosing a student who is taking math.
Solution:
We have,
Total number of students = 147
Number of students taking math = 95
Now, the theoretical probability of randomly choosing a student who is taking math is
\(P(M)=\dfrac{\text{Number of students taking math}}{\text{Total number of students}}\times 100\)
\(P(M)=\dfrac{95}{147}\times 100\%\)
\(P(M)=64.62585\%\)
\(P(M)\approx 64.6\%\)
The theoretical probability of randomly choosing a student who is taking math is 64.6%.
Therefore, the correct option is C.
Is negative 1 a real number?
Find the length of EG
Answer:
8?
Step-by-step explanation:
2 (3x - 5) + 4 = -18
Solve for 20 Points
Answer:
x = -2
Step-by-step explanation:
2(3x - 5) + 4 = -18
Distribute the 2
6x - 10 + 4 = -18
6x - 6 = -18
Add 6 to both sides
6x = -12
Divide both sides by 6
x = -2
Check:
2(3x - 5) + 4 = -18
substitute x = -2 into the original equation
2(3(-2) - 5) + 4 = -18
2(-6 - 5) + 4 = -18
2(-11) + 4 = -18
-22 + 4 = -18
-18 = -18
So x = -2 is true.
Answer:
x=-2
Step-by-step explanation:
2(3x-5)+4=-18
We move all terms to the left:
2(3x-5)+4-(-18)=0
We add all the numbers together, and all the variables
2(3x-5)+22=0
We multiply parentheses
6x-10+22=0
We add all the numbers together, and all the variables
6x+12=0
We move all terms containing x to the left, all other terms to the right
6x=-12
x=-12/6
x=-2
ive been seeing alot of arguing, fighting, and people using brainly as a dating website and im sick and tired of it. now lets get one thing clear. i dont care WHO you ARE. YOU respect me. I respect you. You dare disrespect me. I'll surely disrespect you. i hope thats very CLEAR. now. as for those people who use brainly as a dating website. we should do SOMETHING about it. and all this racism stuff. stop with that stuff. it's NOT OK to treat people like GARBAGE. HAVE RESPECT FOR PEOPLE AND IF YOU DONT LIKE IT DEAL WITH IT. BECAUSE UR GOING TO SUFFER IF YOU DARE DISRESPECT PEOPLE now. i hope everyone understand. good day :)
Answer:
Step-by-step explanation:
THANK YOU FINALLY SOMEONE WHO UNDERSTANDS
Answer:
FINALLY SOMEONE WHO SPEAKS MY LANGUAGE
and also hi dante
Type the missing number to complete the proportion.
14 seats in 2 rows = 7 seats in
rows
The missing number to complete the proportion is 1
How to find the missing number that completes the proportion?Proportion defines that the two given ratios are equivalent to each other. That is two ratios (or fractions) are equal e.g 2:6 = 1:3
Given: 14 seats in 2 rows = 7 seats in ___rows
If each row in a classroom has equal seats. If there are 14 seats in 2 rows of the classroom then we can say there are 7 seats in each row (1 row).
Thus, 14 seats in 2 rows = 7 seats in 1 row
Therefore, the missing number to complete the proportion is 1. You should type 1
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Determine the intercepts of the line.
Answer:
Y-intercept: (0, 0.4)
X-intercepts: (0.3, 0)
Answer:
The y-intercept is (0, 0.4), and the x-intercept is (0.3, 0)
Step-by-step explanation:
To find the intercepts of the line, you need to see what points lie on the x and y-axis.
Xander writes math textbooks that sell x dollars each. he received a bonus of $25,000 for signing a contract, and he receives 8% commission on each book sale. express the total amount of income xander earns from selling y books algebraically
The total amount of income Xander earns from selling y books algebraically is C = 25000 + xy + 0.08y.
What is an equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenarios.
In this situation, Xander writes math textbooks that sell x dollars each, he received a bonus of $25,000 for signing a contract, and he receives 8% commission on each book sale.
c = total amount
y = number of books.
The total amount of income will be:
= 25000 + (x × y) + (8% × y)
= 25000 + xy + (0.08 × y)
C = 25000 + xy + 0.08y
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