Answer:
A semicircle can be drawn by first drawing a diameter of a circle, which is a line segment connecting two points on the circumference that passes through the center of the circle. Then, the semicircle can be constructed by drawing an arc that is half of the circumference of the circle and connecting the ends of the arc to the endpoints of the diameter.
A quarter circle can be drawn in a similar way, but instead of drawing an arc that is half of the circumference, you would draw an arc that is a quarter of the circumference. To do this, you would need to find the central angle that subtends the arc and divide it by 4. The quarter circle can then be constructed by drawing an arc with this central angle and connecting the ends of the arc to the endpoints of a radius of the circle, rather than the diameter.
In both cases, you can use a compass or a protractor to accurately draw the arcs.
A math test has 12 multiplication problems and 24 division problems.
What is the ratio value of division problems to multiplication problems?
Answer as a fraction in simplest form.
Answer:2\1
Step-by-step explanation:24\12 then simplify and get 2\1
in a class of 26 students,15 of them like maths,13 of them like english and 9 doesnt like eitherwhats the probability that a student choosen at random likes english but not maths
The probability that a student choosen at random likes english but not maths is 299/676.
Let A be the event that a student likes math, and B be the event that a student likes English.
From the given information, we know that:
P(A) = 15/26
P(B) = 13/26
P(neither A nor B) = 9/26
To find the probability that a student chosen at random likes English but not math, we can use the formula:
P(B and not A) = P(B) - P(A and B)
The probability of A and B can be found by multiplying the probabilities of A and B together, since they are not independent:
P(A and B) = P(A) × P(B) = (15/26) × (13/26) = 195/676
Substituting the given probabilities into the formula, we get:
P(B and not A) = (13/26) - (195/676)
Simplifying, we get:
P(B and not A) = 299/676
Therefore, the probability that a student chosen at random likes English but not math is 299/676.
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Solve four-ninths plus five-eighteenths equals blank.
community college faculty is negotiating a new contract with the school board. The distribution of faculty salaries is skewed right by several faculty members who make over $100,000 per year. If the faculty impression that they deserve higher sales should they a r e the meanor median of their current salaries? A. The faculty should use the mean to make their argument. The mean will be higher than the median since the mean is influenced by the few extremely high res.B. The faculty should use the mean to make o rgument. The man will be lower than the median since it will be henced by the few high salariesC. The faculty should use the median to make their argument. The median will be higher than the mean since the media is unced by the high e s D. The faculty should use the median to make their argument. The median will be lower than me since the means i nced by the extremely histories
Option D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is influenced by the few extremely high salaries.
Mean is the average of any data set whereas the median is the middle value we get after arranging the data in ascending order.
So for example, if the salaries of any 5 faculty members are as follows:
$10,000 , $50,000 , $80,000 , $150,000 , $160,000
Mean= (10,000+50,000+80,000+150,000+160,000) / 5
Mean= $90,000
Median= (5+1) / 2
Median= 6/2
Median= 3rd value
As the data is already arranged in ascending order, Median is $80,000
Hence, if the faculty want to give the community the impression that they deserve higher salaries, they should advertise the median of their current salaries.
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nine delegates, three each from three different countries, randomly select chairs at a round table that seats nine people. let the probability that each delegate sits next to at least one delegate from another country be $\frac{m}{n}$, where $m$ and $n$ are relatively prime positive integers. find $m n$.
The ones we don't want are those. We only want 410 of the 560 total, thus the cost is $097.
Contact nations A, B, and C. At the northernmost position for configurations, someone from A is seated. Since the only thing the problem mentions about how delegates can differ is by their country, I decided to represent people in my solution by their respective nations. Now, we can see that there are nCr(8, 2) * nCr(6, 3) = 560 possible arrangements (8 seats choose 2 for the rest of the A country, 6 seats choose 3 for B). It is clear that configurations with three delegates in a row are the ones we don't want. Take note that scenarios for A, B, and C to be together are still valid despite my placing of A at the start.We now apply the inclusion-exclusion principle. Two cases for an A three in a row. First. A, Master A, A: $20 for B seats at nCr(6, 3). Additionally, there is $20 for each "slant" A set. =$60. *3=180. A and B both: Two cases once more! We identify four ways for B to get three in a row: A, Master A, A, and A. $12 is the same for slant. *3 = $36 (AB, BC, or CA). For all three: This time, we have two of the three aforementioned A circumstances, for a total of six. 180-36+6 Equals 150 in the end. The ones we don't want are those. We only want 410 of the 560 total, thus the cost is $097.
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`h\left(x\right)=\frac{1}{2}x-14`
`h\left(-4\right)=`
Answer:
-16
Step-by-step explanation:
[tex]h\left(x\right)=\frac{1}{2}x-14\\h\left(-4\right)=-4/2-14=-2-14=-16[/tex]
a certain shop repairs both audio and video components. let a denote the event that the next component brought in for repair is an audio component, and let b be the event that the next component is a compact disc player (so the event b is contained in a). suppose that p(a) 5 .6 and p(b) 5 .05. what is p(bua)?
The probability that the next component brought in for repair is a compact disc player given that it is already known to be an audio component is 0.83 or 83%.
Probability is a fundamental concept in mathematics, statistics, and various fields of science. It is used to measure the likelihood of an event occurring
In the given scenario, we are told that a certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player. We are also given that P(A) = 0.6 and P(B) = 0.5.
The probability of B given A, denoted by P(B|A), represents the probability that event B will occur given that event A has already occurred. In other words, it tells us how likely it is that the next component brought in for repair is a compact disc player given that it is already known to be an audio component.
To calculate P(B|A), we use the formula for conditional probability:
P(B|A) = P(A and B) / P(A)
Here, P(A and B) denotes the probability that both events A and B occur. We know that event B is contained in event A, so it follows that P(A and B) = P(B). Therefore:
P(B|A) = P(B) / P(A)
Substituting the given values, we have:
P(B|A) = 0.5 / 0.6
P(B|A) = 5/6 or 0.83 (rounded to two decimal places)
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Complete Question:
A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = .6and P(B) = .5. What is P(B|A) ?
Combine the like terms to simplify this expression: ( the 2 to the right of the x, is an exponent)
10y - 14x² + 3x - 4x² + 4y - 6
Answer: -18x² + 3x +14y - 6
10y - 14x² + 3x - 4x² + 4y - 6
- 14x²- 4x² + 3x + 10y + 4y -6
-18x² + 3x +14y - 6
14 Jun 2018 · Norman is 12 years older than Michael. In 6 years, he will be twice as old as Michael. How old is Michael now? (A) 3 (B) 6 (C) 12
Michael is now (B) 6 years old.
Let's start by defining variables for the current ages of Norman and Michael.
Let N be Norman's current age, and M be Michael's current age.
From the problem statement, we know that N = M + 12 (Norman is 12 years older than Michael).
We also know that in 6 years, Norman will be twice as old as Michael.
So we can set up the following equation:
N + 6 = 2(M + 6)
Substituting N = M + 12 into the equation, we get:
M + 12 + 6 = 2(M + 6)
Simplifying:
M + 18 = 2M + 12
M = 6
Therefore, Michael is currently 6 years old.
Answer: (B) 6
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What is the answer to question 5
Anwer: EG=EF+EG => 6x+12+48=144
6x=144-12-48
6x=84
x=14
d)x=14
A square lawn has an area of 1922 square feet. A sprinkler placed at the center of the lawn sprays a water in a circular pattern that just covers the lawn. What is the radius of the circle?
A. 43. 84 B. 21. 92 C. 62 D. 31
The radius of the circle such that it just covers the lawn is B. 21.92.
The circular pattern just covering the square lawn will have one thing in common. It is the length or width of square which will be equal to diameter of the circle. So, finding the same to calculate our answer.
Area of square = side²
Side = ✓area
Keep the values
Side = ✓1922
Side = 43.84 feet
The side of the square will be the diameter. We know diameter is double of radius. So,
radius = 43.84/2
Performing division
Radius = 21.92 feet
Hence, correct option is B. 21.92
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Which equations are correct? select each correct answer. 8x3(3x2)=24x6 4x3(6x2)=24x6 6b3(−2b3)=−12b6 3a3(−3a4)=−9a7?
The correct equations are:8x^3 * (3x^2) = 24x^5, 6b^3 * (-2b^3) = -12b^6, 3a^3 * (-3a^4) = -9a^7. The equations are correct because they follow the rules of algebra. The equation 4x^3 * (6x^2) = 24x^5 is not correct.
The distributive property of multiplication over addition allows us to multiply a factor by each term inside a set of parentheses. In the equation 8x^3 * (3x^2), we can use the distributive property to multiply 8x^3 by each term inside the parentheses, giving us 24x^5.
Similarly, the product of two negative numbers is positive, which explains why the equation 6b^3 * (-2b^3) equals -12b^6.
Finally, multiplying two terms with the same base means we add the exponents, so in the equation 3a^3 * (-3a^4), we get -9a^7.
Therefore, these equations are correct and follow the rules of algebra.
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Which of the following is equivalent to the fraction above?
OA. 13
-7
OB. 7
13
OC. -13
-7
OD. 3
-13
-(13)
The Equivalent Fraction of -117 / 63 is -13/7.
What is Equivalent Fraction?The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½.
A rule that says the outcome of multiplying the numerator and denominator of a fraction by the same nonzero number is a fraction equal to the original fraction.
Given:
We have the Fraction -117 / 63
As, Equivalent fraction can have different numerators but the denominators should be necessarily same.
Now, simplifying the fraction
= -117/ 63
= - (13 x 9) / (7 x 9)
= -13 / 7
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Question 7(Multiple Choice Worth 2 points) (09.06 LC) How many hectometers are in 580 millimeters? O 0.0058 hectometers O0.058 hectometers O58,000 hectometers O 580,000 hectometers
Answer: B. 0.058 hectometers
Step-by-step explanation: To convert millimeters to hectometers, you need to divide the number of millimeters by 10,000.
Given that there are 580 millimeters, the conversion to hectometers can be calculated as follows:
580 millimeters ÷ 10,000 = 0.058 hectometers
10. at a pizza shop there is a deal going on that you can get a pizza for $3.00. you can choose thick or thin crust, red or white sauce, and one topping of either pepperoni, sausage, or vegetarian. create a tree diagram to display the sample space on your worksheet. how many total outcomes are there?
The number of total outcomes is 12.
Here is a tree diagram for the pizza options:
Copy code
/ | \
Thick Thin
/ | \
Red White Red White
/ | \ / | \ / | \
Pep Saus Veg Pep Saus Veg Pep Saus Veg
There are two (2) options for the crust, two (2) options for the sauce, and three (3) options for the topping. Therefore, the total number of outcomes is:
Total Outcomes = 2 (options for crust) x 2 (options for sauce) x 3 (options for topping)
Total Outcomes = 12
Therefore, there are 12 total outcomes.
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The Martinez family just bought 6 crates of eggs, and each crate had 12 eggs. The family already had 9eggs in their refrigerator. How many eggs do they have now?
The Martinez family just bought 6 crates of eggs, and each crate had 12 eggs. The family already had 9 eggs in their refrigerator. Total number of eggs they have now is 81.
The problem states that the Martinez family bought 6 crates of eggs, and each crate had 12 eggs. So, we can start by multiplying the number of crates by the number of eggs per crate to find out how many eggs they bought in total:
6 crates x 12 eggs/crate = 72 eggs
This tells us that the family now has 72 eggs. However, the problem also states that the family already had 9 eggs in their refrigerator. To find out how many eggs they have now in total, we need to add the number of eggs they bought to the number of eggs they already had:
72 eggs + 9 eggs = 81 eggs
So the answer is that the Martinez family now has a total of 81 eggs.
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2v+12≥16 pls need help
in what way can a truthful set of statistics regarding a rise in vehicle theft over the course of a year in a city not reflect the actual situation?
A truthful set of statistics regarding a rise in vehicle theft over the course of a year in a city might not reflect the actual situation in several ways.
Here are a few possible examples:
Underreporting or overreporting: The statistics might be based on police reports of stolen vehicles, which may not capture all incidents of vehicle theft in the city. For instance, some victims may not report the theft to the police, or some incidents may be misclassified as other types of crime. Similarly, the statistics might include some incidents that are not actually vehicle thefts, such as cases where the vehicle was recovered undamaged or cases where the vehicle was not actually stolen, but rather borrowed without permission.
Geographical bias: The statistics might show an overall rise in vehicle thefts, but fail to capture the fact that the increase is concentrated in certain parts of the city. For example, a rise in thefts in a particular neighborhood might be masked by a decrease in thefts in other areas of the city.
Seasonal or temporal bias: The statistics might show an increase in vehicle thefts over the course of a year, but fail to account for seasonal or temporal factors that could be driving the increase. For instance, thefts might be more common during certain times of year (e.g., the summer) or on certain days of the week (e.g., weekends). If the statistics do not adjust for these factors, they might misrepresent the true trend in vehicle thefts.
Demographic bias: The statistics might show an increase in vehicle thefts overall, but fail to capture the fact that the rise is driven by thefts of certain types of vehicles or in certain neighborhoods. For example, if the increase is largely driven by thefts of high-end vehicles or in affluent areas, the statistics might not reflect the experiences of people who own less expensive vehicles or live in less affluent areas.
Overall, it's important to interpret statistical data with a critical eye and consider the limitations of the data source and methodology before drawing conclusions about the real-world situation.
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A gardener wants to divide a square piece of lawn in half diagonally. what is the length of the diagonal side of the square is 8 fr. leave your answer in simplest radical form.
Answer:
8√2 feet
Step-by-step explanation:
You want the length of the diagonal of a square that is 8 ft on a side.
DiagonalThe diagonal of a square is the hypotenuse of the isosceles right triangle with leg lengths equal to the sides of the square. The ratios of side lengths in such a triangle is ...
1 : 1 : √2
Then the lengths of the sides of that triangle are ...
8 ft : 8 ft : 8√2 ft . . . . . multiply ratio values by 8 ft
The diagonal length is 8√2 feet.
__
Additional comment
If you use the Pythagorean theorem to find the diagonal length, you will determine it is ...
d = √(8² +8²) = 8√(1+1) = 8√2 . . . . feet
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Question 5
BLUEPRINTS Ezra is redrawing the blueprint shown of a stage he is planning to build for his band. By what percentage should he multiply the
dimensions of the stage so that the dimensions of the image are the size of the original blueprint? What will be the perimeter of the updated
blueprint?
10 units
LF
4 units
8 units
%; The perimeter of the updated blueprint will be
10 units
2 units
units.
The perimeter of the updated blueprint would be = 62units.
How to calculate the perimeter of the blueprint?The percentage that she can use to multiply the dimensions of the stage so that the dimensions of the image is half the size of the original blueprint would be = 50%.
To calculate the perimeter of the blueprint is to add the sides of the whole blue print that was given. That is;
= 10+4+2+4+2+4+10+2+2+8+2+2
= 62 units.
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SOMEBODY PLEASE LOOK AT THE PICTURE AND HELP MEEEE
The equation that represent the graph is C = 1.5m + 200.
How to represent linear equation?A moving company charges a one time fee and cost per miles of it service. Therefore, the relationship is between the total cost and the number of miles.
Therefore, let's use equation to represent the relationship between the total cost C and number of miles travelled, m.
Hence, using slope intercept form
y = mx + b
where
m = slopeb = y-interceptHence,
using (0, 200) (200, 500)
m = 500 - 200 / 200 - 0
m = 300 / 200
m = 1.5
Hence,
y-intercept = 200
Therefore, the equation is C = 1.5m + 200
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a bakery sells blueberry muffins for 2.50 each. it costs c dollars to make each muttij the profit for selling m muffins is described by the expression below in the expression what is the meaning of (2.5-c)
Answer:
7.8
Step-by-step explanation:
In this regular hexagon, all of the exterior
angles marked r are the same size.
Find the value of r.
Give your answer in degrees (°).
Answer:
60 degrees
Step-by-step explanation:
double d, then subtract 6 from the result
Do not simplify any part of the expression.
Answer:
2d-6
Step-by-step explanation:
Since the d is doubled you are multipling then subtracting 6 from the result
State the maximum and minimum values if they exist.
The maximum and minimum values are 34.5 and 2
How to determine the maximum and minimum valuesfrom the question, we have the following parameters that can be used in our computation:
P = 2x + 7y
Subject to:
4x - 2y <= 5
x >= 1
0 <= y <= 4
Next, we plot the constraints on a graph
From the graph, we have the following vertices
(1, 0), (4, 0) and (3.25, 4)
This gives
P = 2(1) + 7(0) = 2
P = 2(4) + 7(0) = 8
P = 2(3.25) + 7(4) = 34.5
Hence, the minimum is 2 and the maximum is 34.5
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pls help me i dont understand
Answer:
y+3=-3/4(x+4)
Step-by-step explanation:
the formula is
y-y1=m(x-x1)
y1 is -4 and x1 is -3 and m is slope
when the x or y is a negitive it then is added
Help meee
Which one is it?
Answer:
the number of shirts sold
Step-by-step explanation:
that's what the question is asking
Simplify quantity 4 x squared plus 12 x minus 16 all over quantity 2x plus 10 over quantity 6 x plus 24 over quantity x squared plus 9x plus 20 . (2 points)
Answer:
So the simplified expression is:
2x - 4 / (x^2 + 9x + 20)
Step-by-step explanation:
To simplify the expression, we need to simplify the numerator and denominator separately, and then simplify the entire expression.
Starting with the numerator:
4x^2 + 12x - 16
For the denominator:
The first fraction: 2x + 10 can be simplified as follows: 2x + 10 = (2)(x) + (2)(5) = 2x + 10
The second fraction: 6x + 24 over x^2 + 9x + 20
We can simplify the denominator by using partial fraction decomposition. To do that, we need to write the denominator as a sum of simpler fractions, each with a numerator that is a constant. In other words, we write:
6x + 24 / (x^2 + 9x + 20) = (A x + B) / (x^2 + 9x + 20) + (C x + D) / (x^2 + 9x + 20)
Multiplying both sides by the denominator, we get:
6x + 24 = (A x + B)(x^2 + 9x + 20) + (C x + D)(x^2 + 9x + 20)
Expanding the right-hand side, we obtain:
6x + 24 = Ax^3 + (A 9 + B) x^2 + (A 20 + B 9 + C) x + (B 20 + D)
Comparing the coefficients of the polynomials on both sides, we get the following system of linear equations:
A = 0
B = 6
C = 0
D = -24
Therefore, the partial fraction decomposition of the denominator is:
6x + 24 / (x^2 + 9x + 20) = (6x + 24) / (x^2 + 9x + 20)
Putting it all together, we have:
4x^2 + 12x - 16 / (2x + 10) / (6x + 24) / (x^2 + 9x + 20) = (4x^2 + 12x - 16) / (2x)(6x + 24) / (x^2 + 9x + 20) = 2x - 4 / (x^2 + 9x + 20)
So the simplified expression is:
2x - 4 / (x^2 + 9x + 20)
3.8 liters = ____ deciliters?
Answer:
Step-by-step explanation:
3.8 liters = 38deciliters
Answer:
3.8 litres =38 deciliters
HELP
WHICH IS NOT A PROPIETY OF PARALLELOGRAM
According to the given information Congruent diagonals is not a property of parallelogram.
Why not? A kite is not a parallelogram.A kite's opposing forces aren't always parallel, just like not every kite is just a parallelogram. Trapezoids are quadrilaterals having a single pair of parallel sides. The parallel sides make up the bases. If somehow the foundation angles are equal, the trapezoid is said to be an isosceles trapezoid.
Do parallelograms count as diamonds?Since a diamond has four slanted, equal-length sides, it is an example of a rhombus. They are also both parallelograms since a parallelogram is indeed a rhombus and a diamond is one as well.
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