The value of x is 28 .
What is a Triangle ?A triangle is a polygon with three sides , three angles and three vertices.
According to the Proportionality Theorem
When a line is parallel to one side and intersects the other lines at two different points then it divides both the line in similar ratio.
As in the given figure DC is parallel to AP ,
then RD : DP = RC:CA
42:15 = x: 10
42/15 = x / 10
x = 42 * 10 /15
x = 28
Therefore the value of x is 28 .
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Slope of (-15,-10) (9,8)
a statistical technique that would allow a researcher to cluster is called ____
Answer:
Factor analysis
Step-by-step explanation:
A statistical technique that would allow a researcher to cluster such traits as being talkative, social, and adventurous with extroversion.
The statistical technique that would allow a researcher to cluster is called Cluster Analysis. It is a statistical technique that enables researchers to cluster groups of objects that share certain similarities based on their attributes, observations, or characteristics.What is cluster analysis?Cluster analysis is a data-driven technique that helps in grouping similar objects based on the data provided. It is often used in many fields, including data mining, machine learning, and bioinformatics. Cluster analysis is used to find the natural groupings of objects, which have similar attributes or characteristics. For instance, it is used to group customers based on their behavior, cluster genetic markers in DNA, cluster galaxies in the universe, and much more. Cluster analysis helps in analyzing large datasets by grouping similar objects into smaller groups that are easier to understand.The Cluster analysis technique is a valuable tool in statistical analysis and it is used in different fields like market research, bioinformatics, genetics, etc. It is a method of statistical data analysis that helps researchers identify groups or clusters of data. It is a commonly used technique that is used to identify natural patterns within large datasets.
Solve this 2 1/3 + 3/5
Answer:
2 14/15
Step-by-step explanation:
2 1/3 + 3/5
~Turn into improper fractions
7/3 + 3/5
~Find common denominators
35/15 + 9/15
~Add
44/15 or 2 14/15
Best of Luck!
PLEASEEEE HURRRRY PLESSSSSSSSS
Part A: Complete the two-way frequency table.
first picture
Part B: Complete the table to show the relative frequencies for each grade category. Round your answer to the nearest thousandth if rounding is necessary.
second picture
Part C: According to the relative frequency table, which grade had the greatest number of students who preferred one of the toppings?
The two way frequency table is discussed below. The table to show the relative frequencies for each grade category is discussed below. According to the relative frequency table, 8th grade had the greatest number of students who preferred one of the toppings.
The completed two-way frequency table is shown below
Cheese Pepperoni Veggie Total
7 20 12 8 40
8 18 16 14 48
Total 38 28 22 88
To find the relative frequency for each grade category, we need to divide each frequency by the total number of students
Cheese Pepperoni Veggie Total
7 0.227 0.136 0.090 0.453
8 0.204 0.181 0.159 0.544
Total 0.431 0.317 0.249 0.997
According to the relative frequency table, 8th grade had the greatest number of students who preferred one of the toppings, with a relative frequency of 0.544.
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I need help with this Mathematics question my answer was 1 I not for sure
In the given figure, for Angle X and Angle Y to be equal, line AB and CD should be parallel.
Therefore, the answer is CHOICE 2 : The lines are parallel.
lan travels 10 yd on his unicycle
every 4 s. Based on this ratio, how
many seconds does it take lan to
travel 25'yd on his unicycle?
Answer:
\(10 = 4 \\ 25 = x \\ 25 \times 4 = 100 \\ 100 \div 10 = 10s\)
People did not
bother the
palace.
Many of the
treasures were
left unbroken.
Sand and dirt
kept the treasures
from being hurt
by seawater.
Think about the news story. Which fits best in the empty box
above?
A. The sunken palace of Cleopatra is in good shape.
B. Large earthquakes ruined all of one palace's treasures.
C. Special tools are needed to look at one city's treasures.
D. The city of Alexandria is not very interesting.
Mixture is kept undisturbed for some time. After some time, sand being heavier and insoluble in water, settles down at the bottom of container.
What technique would you use to separate sand from water?Sand and water are separated in this situation using filtering. The filter funnel, which is lined with filter paper, is filled with the sand and water mixture.
The paper allows the water to escape and accumulate in the beaker. Sand particles build up in the filter funnel because they can't pass through the filter paper. One of humankind's first methods of water treatment, distillation desalination is still a widely used treatment method today.
Many ancient civilizations employed this method to turn seawater into drinkable water aboard their ships. The differing densities of salt and sand are the basis for another physical separation technique. Sand has a density of 2.65 g/cm3, but salt has a density of 2.16 g/cm3.
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Sarah is having a party with 30 people. She has 212 large pizzas at the party. She gives equal amounts of pizza to each person. What fraction of pizza does each person get?
Answer: Everyone would get about 7 pizzas
Step-by-step explanation:
I did 212 divided by 30 which is 7.06666666667 which is closest to 7 then 8 so the answer would be 7. I know this is about right because 7 times 30 is 210 which is closest to 212 then 8*30 which is 240.
Joey ha 8 pair of ock in hi drawer. Five of them are white. What percent of white ock doe Joey have?
Using percentages, we can see that Joey has 37.5% of the coloured socks.
We know that Joey has a total of 8 pairs of socks.
We also know that 5 pairs of socks are white.
Hence, the colored pair of socks will be:
8 - 5 = 3
Calculate its percentage as follows:
3/8 × 100
0.375 × 100
37.5%
Percentage is a relative figure used to represent hundredths of a quantity.
Because one percent (symbolised as 1%) represents one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount indicated.
Percentage, which meaning "per 100," denotes a percentage of a total amount. For example, 45% represents 45 out of 100.
Percentage computation is the process of determining a percentage of a whole in terms of 100.Percentage cam be calculated from fractions and decimals
Manual calculation and the usage of online calculators are both choices.
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Solve the following absolute value equations. Show the solution set.
1/2=1/3-|(x-3/6)+x|
The solution set for the equation 1/2 = 1/3 - |(x-3/6)+x| is {1/12, -1/12}.
How to Solve Absolute Value Equations?To solve the equation 1/2 = 1/3 - |(x-3/6)+x|, we need to isolate the absolute value expression and solve for x in two cases.
Case 1: (x-3/6)+x is nonnegative, which means the absolute value can be removed.
1/2 = 1/3 - (x-3/6)-x
1/2 = 1/3 - 2x + 1/2
2x = 1/6
x = 1/12
Case 2: (x-3/6)+x is negative, which means the absolute value must be flipped.
1/2 = 1/3 + (x-3/6)+x
1/2 = 1/3 + 2x - 1/2
2x = -1/6
x = -1/12
Therefore, the solution set is {1/12, -1/12}.
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Complete the steps to solve the equation -19x - 11 = -125.
-19x - 11 = -125 Write the original equation.
-19x = __ Apply the Addition Property of Equality.
Answer:
Step-by-step explanation:
-19x-11= -125 add 11 to both sides
-19x= -114 divide by -19
x= 6
What is the equation of the line that passes through the point (-3,2) and has a slope of 2/3
Answer: y = 2/3 -2
Step-by-step explanation: using a graph you can plot the point (-3, 2).
After this, you can use the slope of 2/3 to graph the starting point. You go 3 to the left and 2 up going through the y axis of -2. using y = mx + b, you can plug in the slope of 2/3 and the starting point of -2.
in the construction of confidence intervals, if all other quantities are unchanged, an increase in the sample size will lead to a
If all other values remain constant, an increase in sample size will result in a broader confidence interval when constructing one.
The definition of the MoE, or margin of error, is
MoE = sigma ÷ sqrt(n)
The population standard deviation is represented by sigma. If you don't know sigma, utilize s to get a rough idea of it. The sample standard deviation is denoted by the variable s.
The MoE increases along with the sigma. The width or narrowness of the confidence interval is directly determined by the MoE. A smaller MoE indicates greater confidence with less error, whereas a larger MoE indicates greater net casting but increased error.
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Fill in the missing number.
_groups of 3 equal 27.
Answer:
9 groups of 3 equal 27
Step-by-step explanation:
Fill in the missing number.
9 groups of 3 equal 27
because 9 × 3 = 27
How many degrees are in a semicircle? 36° 90° 270° 180°
Answer:
180°
Step-by-step explanation:
Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the new function and write it in simplest form
f+g
a.
-x² + 2x - 2
b. x2 - 2x + 2
x² + 2x - 4
d. 2x3 - 3x2 - 2x + 3
Please select the best answer from the choices provided
A
B
С
D
Answer:
Option C is the correct answer
\( {x}^{2} + 2x - 4\)
Step-by-step explanation:
\(f(x) = {x}^{2} - 1 \\ g(x) = 2x - 3 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = {x}^{2} - 1 + 2x - 3 \\ \purple{ \boxed{ \bold{ (f + g)(x) = {x}^{2} + 2x - 4}}}\)
Answer:
Step-by-step explanation:
The width of a rectangle is 4 less than twice its length. if the area of the rectangle is 75 cm 2 , what is the length of the diagonal?
Answer:
Step-by-step explanation:
select the equation that represents the function given in the table below:
Please help!
Answer:
im to lazy to do an equation
Step-by-step explanation:
It rained 0.8 inches on Monday. On Tuesday, it rained 0.34 inches less than on Monday. How much did it rain on Tuesday?
7. Define a variable and write an expression for the phrase.
the quotient of 2 times a number and 19
2x/19
38x
19x/2
X/38
pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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Next year, the school is planning to purchase new uniforms. The coach has noticed that there is a positive correlation between a player's height and their uniform size.
He has found the following:
• If height is 77 inches or below = Size Small
• If height is between 78 and 80 inches = Size Medium
• If height is between 81 and 83 inches = Size Large
.
If height is 84 inches or above = Size Extra Large
The coach can use this information to help determine the uniform size for each player based on their height. For example, if a player's height is 78 inches, they would need a Size Medium uniform. If a player's height is 82 inches, they would need a Size Large uniform. This correlation between height and uniform size will make it easier for the school to purchase the correct sizes for each player and ensure that they are comfortable and properly fitted in their uniforms.
what is the smallest positive integer which when divided by 4, 5, 8 and 9 leaves remainder 3, 4, 7 and 8, respectively?
X = 40c + 39 = 40(4) + 39 = 199 is the required smallest positive integer.
The smallest positive integer which when divided by 4, 5, 8 and 9 leaves remainder 3, 4, 7 and 8, respectively is 539.
The given equation isx ≡ 3 (mod 4)x ≡ 4 (mod 5)x ≡ 7 (mod 8)x ≡ 8 (mod 9)
By the first condition,x = 4a + 3
where a is any positive integer.
Substituting in the second condition,4a + 3 ≡ 4 (mod 5)⇒ 4a ≡ 1 (mod 5)⇒ a ≡ 4 (mod 5)
Let a = 5b + 4 (where b is any positive integer)
Substituting this in x = 4a + 3, we get
x = 4(5b + 4) + 3 ⇒ x = 20b + 19
Now, substituting this in the third condition,20b + 19 ≡ 7 (mod 8)⇒ 4b ≡ 4 (mod 8)⇒ b ≡ 1 (mod 2)Let b = 2c + 1
Substituting this in x = 20b + 19,x = 20(2c + 1) + 19 ⇒ x = 40c + 39
Finally, substituting this in the fourth condition,40c + 39 ≡ 8 (mod 9)⇒ 4c ≡ 5 (mod 9)
We know that the modular inverse of 4 modulo 9 is 7.
Multiplying both sides by 7,7(4c) ≡ 7(5) (mod 9)⇒ 28c ≡ 35 (mod 9)⇒ c ≡ 4 (mod 9)
Hence,x = 40c + 39 = 40(4) + 39 = 199 is the required smallest positive integer.
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the bakery department in a supermarket had sales last week of $15,349. if the department occupies 300 square feet of space, what were the department's sales per square foot for the week?
The department's sales per square foot are $51.16 per square foot.
What is division?Division is the process of dividing a number by a given number.
Given that, the supermarket had sales last week of $15349, and the area of the department is 300 square feet.
The sales per square foot are:
(total sales)/ (total area)
= 15349/300
= 51.16
Hence, the department's sales per square foot are $51.16 per square foot.
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What are the solutions to the following quadratic?
5x² + 18x=25x+15+3x²
(x+5)(2x-3)
O (5,-3/2)
(x - 5)(2x+3)
(-5,3/2)
Answer:
We can start by simplifying both sides of the equation:
5x² + 18x = 25x + 15 + 3x²
2x² - 7x - 15 = 0
Now we need to factor this quadratic equation:
2x² - 7x - 15 = (2x + 3)(x - 5)
Setting each factor equal to zero gives us the solutions:
2x + 3 = 0 or x - 5 = 0
Solving for x, we get:
x = -3/2 or x = 5
Therefore, the solutions to the quadratic equation are x = -3/2 and x = 5.
So, the correct answer is (x - 5)(2x+3).
Which expression is equivalent to (3x + 2 - 3y) (3x + 2 + 3y)?
A. 9x2 + 4 – 9y2
B. 9x2 + 4 +9y2
C. 9x2 + 12x + 4 – 9y2
D. 9x2 + 12x + 4 +9y2
Consider the following discrete probability distribution: Outcome Probability 10 0.10 15 0.30 20 0.20 25 0.30 30 0.10 Required:
a. Calculate the mean of this distribution. b. Calculate the standard deviation of this distribution
a) the mean of this distribution is 20
b) the mean of the distribution is 20 and the standard deviation of the distribution is 4.58.
a. Calculation of mean of the given distribution:
Mean = ∑(x * P(x))
where x = value of the outcome
P(x) = Probability of the outcome
∑ denotes the summation over all the possible outcomes
Mean = (10 * 0.10) + (15 * 0.30) + (20 * 0.20) + (25 * 0.30) + (30 * 0.10)= 1 + 4.5 + 4 + 7.5 + 3= 20
b. Calculation of standard deviation of the given distribution:
σ = √[∑(x - μ)² P(x)]
where x = value of the outcome
μ = mean of the distribution
P(x) = Probability of the outcome
∑ denotes the summation over all the possible outcomes
σ = √[((10 - 20)² * 0.10) + ((15 - 20)² * 0.30) + ((20 - 20)² * 0.20) + ((25 - 20)² * 0.30) + ((30 - 20)² * 0.10)]= √[100 * 0.10 + 25 * 0.30 + 0 + 25 * 0.30 + 100 * 0.10]= √[10 + 7.5 + 3.5]= √21= 4.58
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category: 05 mathematics knowledge a teacher surveys the class to see how many hours of video games the students have played in the previous week. below are the results of the survey. hours played number of students 0 3 1 2 2 4 3 0 4 5 5 2 6 9 7 or more 2 what is the mode of the survey results?
The mode of the survey results is 6 hours, as this was the most commonly reported number of hours of video games played in the previous week.
The mode of the survey results is the most frequently occurring number of hours of video games played in the previous week. In this survey, the most commonly reported number of hours played was 6. This is because 9 students reported playing 6 hours of video games in the previous week, which is the highest number of students reporting any single amount of hours played. The other numbers of hours played were reported less often, with 2 students reporting 5 hours, 4 students reporting 2 hours, 2 students reporting 1 hour, and 3 students reporting 0 hours. Therefore, the mode of the survey results is 6 hours.
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What does it mean to bisect a segment or an angle? in your own words.
what is the answer for
-16+x=-15
Answer:
x=1
Step-by-step explanation:
-16+x=-15
-16+x+16=-15+16 Add the terms to both sides of the equation.
After that you simplify.