Answers
Answer:
A right-angled triangle
Related Questions
You are painting a room that is 18 ft long, 14 ft wide and
8 ft high. Find the area of the four walls that you are going to paint.
Answers
Answer:
do the answer is 532 ft.
u should be careful not to count the area of the ceiling and the floor of the room!
Answer:
512 ft²-------------------------
Perimeter of the room:
P = 2(18 + 14) = 2(32) = 64 ftArea of the four walls:
A = Ph = 64*8 = 512 ft²The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. x= 0 1 2 3 4 5, P(x)= 0.1666 0.3275 0.2875 0.1489 0.0382 0.0313. The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated? Compute the theoretical mean of the random variable X for the given probability distribution. (Round to three decimal places as needed.)
Answers
For a single game, the mean and the standard deviation of the number of hits is given as follows:
Mean: 1.659 hits.Standard deviation: 1.209 hits.For 25 games, the mean and the standard deviation are:
Mean: 1.659 hits.Standard deviation: 0.242 hits.For 50 games, the mean and the standard deviation are:
Mean: 1.659 hits.Standard deviation: 0.171 hits.This shows that as the number of trials increase, the standard error reduces.
How to obtain the mean and the standard deviation of a discrete distribution?The mean is given by the sum of each outcome multiplied by it's respective probability, hence:
E(X) = 0 x 0.1666 + 1 x 0.3275 + 2 x 0.2875 + 3 x 0.1489 + 4 x 0.0382 + 5 x 0.0313 = 1.659 hits.
The standard deviation is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values, hence:
S(X) = sqrt((0-1.659)² x 0.1666 + (1-1.659)² x 0.3275 + (2-1.659)² x 0.2875 + (3-1.659)² x 0.1489 + (4-1.659)² x 0.0382 + (5-1.659)² x 0.0313) = 1.209.
Central Limit TheoremFor the repetition of n experiments, we have that the mean remains constant, while the standard deviation is given as follows:
s = S(X)/sqrt(n).
Meaning that it is divided by the square root of the sample size.
Hence, for 25 games, the standard deviation is:
S(X) = 1.209/sqrt(25) = 0.242.
For 50 games, the standard deviation is:
S(X) = 1.209/sqrt(50) = 0.171.
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Enrique predicts that he can make additional money from sales of accessories and service for computer products sold by his store. The table at the right shows predicted percent returns for such sales. For example, if the store makes x dollars selling computer products, Enrique predicts the store with make 0.05x dollars from selling accessories. Part A In January and February of this year, the store made $2,500 from sales of accesories and services. Let x represent the amount the store with make from sales of computer products from March through December. Write an equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year. If Enrique predicts sales from accessories and services for the entire year will be $5,000, about how much money must be made from computer product sales from March through December? Explain.
Answers
The equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year is (y = 0.05x + 2500).
Given that:
Enrique predicts that he can make additional money from sales of accessories and services for computer products sold by his store.
The store makes x dollars selling computer products, Enrique predicts the store will make 0.05x dollars ($0.05) from selling accessories.
The following steps can be used in order to determine the equation that represents the predicted amount y:
Step 1 - According to the given data, the store makes x dollars selling computer products.
Step 2 - It is also given that, in January and February of this year, the store made $2,500 from sales of accessories and services.
Step 3 - So, the linear equation that represents the given situation is:
y = 0.05x + 2500
Hence the answer is The equation that represents the predicted amount y that the store will make from sales of accessories and services for the entire year is (y = 0.05x + 2500).
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how does the symmetry of a parabolas hep you graph a quadratic function?
Answers
Answer:
It line splits the graph of a quadratic equation into two mirror image, or basically means every point on the parabola on one side of the axis will be a mirror image of the other side of the parabola.
np :d
37=18q+1 show work pls
Answers
Answer:
37=18q+1
subtract 1 on both sides
then divide both sides by 18
q=2
Step-by-step explanation:
Answer:
q = 2Step-by-step explanation:
[tex]\sf 37=18q+1[/tex]
[tex]\sf 18q+1=37[/tex]
Subtract 1 from both sides:-
[tex]\sf 18q+1-1=37-1[/tex]
Simplify:-
[tex]\sf 18q=36[/tex]
Divide both sides by 18:-
[tex]\sf \cfrac{18q}{18}=\cfrac{36}{18}[/tex]
[tex]\sf q=2[/tex]
_____________________
Hope this helps!
Have a great day!
n a recent survey in a statistics class, it was determined that only 60% of the students attend class on fridays. from past data it was noted that 98% of those who went to class on fridays pass the course, while only 20% of those who did not go to class on fridays passed the course. a. what percentage of students is expected to pass the course?
Answers
The percentage of students expected to pass the course is 66.8%
The given data represents;
In a recent survey in a statistics class, it was determined that only 60% of the students attend class on Fridays. from past data, it was noted that 98% of those who went to class on Fridays passed the course, while only 20% of those who did not go to class on Fridays passed the course.
We need to find the percentage of students who are expected to pass the course.
Let 'A' be the event of passing,
'B' be the event of attending on Fridays.
P (A I B) = 0.98 * P (A I B') = 0.2
P (B) = 0.6
Then, P (B') = 1 - 0.6
= 0.4
→ P (A ∩ B) = P (A I B) * P (B)
= 0.98 * 0.6
= 0.588
→ P (A ∩ B') = P (A I B') * P (B)
= 0.2 * 0.4
= 0.08
∴ P(A) = P (A ∩ B) + P (A ∩ B')
= 0.588 + 0.08
= 0.668
Hence, the percentage of students expected to pass the course is 66.8%
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Megan bought 60 donuts for study club. She told the worker at the donut
shop that she wanted 60% of the donuts to be chocolate glazed. How
many of the donuts should be chocolate-glazed? (hint - simplify)
Answers
Out of 60 donuts there are 36 chocolate-glazed donuts.
What is donuts?
A leavened, fried dough product is known as a doughnut or donut. It is a common sweet snack that can be made at home or bought in bakeries, supermarkets, food stands, and franchised specialty retailers. It is produced in a variety of ways.
Given: Megan bought 60 donuts for study club.
She told the worker at the donut shop that she wanted 60% of the donuts to be chocolate glazed.
Let the total donuts are 60.
And the 60% of 60 are,
60 x 0.6 = 36
Therefore, 36 donuts are chocolate - glazed.
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x^2-36=0
solve by graphing
Answers
The solutions for the given equation is (6, -6). The graph for the given equation is plotted below.
The given equation is x²-36=0.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
We need to graph the given equation
x²-36=0
⇒ x²=36
⇒ x=±√36
⇒ x=±6
So, solution is (6, -6)
The graph for equation x²-36=0 is given below
The solutions for the given equation is (6, -6). The graph for the given equation is plotted below.
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Use the diagram shown.
Ж
If mz1 equals (4x + 2)° and mz2 equals 110°, what is the value of x?
О А. 14
O B. 15
О С. 16
O D. 17
Answers
By using the concept of straight angle, the value of x obtained is 17°
What is straight angle?
At first it is important to know about angle
When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle
Straight angle is the angle whose measure is 180°
Here,
[tex]m\angle 1 =(4x +2)\\m\angle 2 = 110\\[/tex]
[tex]\angle 1 \ and \ \angle 2[/tex] forms a straight angle
[tex]m\angle 1 + m\angle 2 = 180[/tex] [Angle on a straight line]
[tex]4x + 2 + 110 = 180\\4x +112 = 180\\4x =180-112\\4x = 68\\x = \frac{68}{4}\\x = 17[/tex]
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Gwen opens a savings account with $50.00. Over the next year, she plans to deposit
$10.00 each month into the account. Write a linear function for the amount A, in
dollars, in Gwen's account after x months.
paing
Answers
Solve the equation 750 +0.05x = 1,100+ 0.025x for x.
O x = 140
O x = 350
O x = 1,850
O x = 14,000
Answers
Answer:
a
Step-by-step explanation:
The value of x will be; x = 14,000
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given that the equation 750 +0.05x = 1,100+ 0.025x
Here, we need to solve for x;
750 +0.05x = 1,100+ 0.025x
combine the like terms;
750 - 1,100= -0.05x + 0.025x
-350 = - 0.025x
x = 14,000
Therefore, the solution will be as;
x = 14,000
The value of x will be; x = 14,000
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Evaluate f(x) = log₂ (x) for f(8).
Answers
The value of f(8) is 3.
What is logarithm?
The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to obtain a number x is hence the logarithm of a number x to the base b. For instance, since 1000 = 103, log10 of 1000 is 3, or [tex]log_1_0=3[/tex].
Let, [tex]f(x) = log_2(x)[/tex]
We have to find the value of f(8).
Plug x = 8 in the above equation.
[tex]f(8) =log_2(8)[/tex]
Here 8 = 2 x 2 x 2 = 2^3
So, replace 8 with 2^3 in the above equation.
[tex]f(8) = log_2(2^3)[/tex]
Using the log rule: [tex]log_a(a^b) = b[/tex]
Here a = 2, b = 3
So, [tex]log_2(2^3) = 3[/tex]
Hence, f(8) = 3.
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Casey's Mail Manufacturing is a company that produces chain mail. Their most popular product is saw-cut metal links that hobbyists can use to make their own creations. The company recently spent $100 on advertising, which they hope to make back quickly. The wire used to produce one gram of links costs $2, but the finished links sell for $3 per gram. Eventually, the company will make back its investment and break even. How many grams of links must be sold?
Answers
In order to a breakpoint or the total cost = total investment company must need to sell 100 grams of links.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let's suppose the number of links that are needed to solve for a breakpoint is x.
Cost of x number of links with the rate of $2/gram = 2x
Total cost = total selling
100 + 2x = 3x
3x - 2x = 100
x = $100
Hence "In order to break even point or the total cost = total investment company must need to sell 100 grams of links".
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What is an equation of the line that passes through the points (-2, -7) and
(-1, -3)?
Answers
m= (6- 3)/ (-5 -1)
2x - y + 11= 0
Explanation
What is the domain of the function y=2 x-6?
O -∞
O 0≤x<∞
O 3
O 6≤x<∞
Answers
The domain of the given function y = 2√(x - 6)
What is a domain?In Mathematics, a domain can be defined as the set of all real numbers for which a particular function is defined.
This ultimately implies that, a domain is the set of all possible input numerical values or numbers (x-values) to a function and the domain of a graph comprises all the input numerical values which are located on the x-coordinate.
In order to determine the domain of this function, we would equate the x-value to zero and then evaluate as follows:
x - 6 ≥ 0
x ≥ 6
Therefore, the domain of this function in interval notation is [6, ∞] as shown in the graph attached below.
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Complete Question:
What is the domain of the function y = 2√(x - 6)?
0 ≤ x < ∞
6 ≤ x < ∞
What is the perimeter of pentagon ABCDE with the given vertices?
A (4,2)
B(4, 10)
C (7, 10)
D (15, 4)
E (7, - 2)
Answers
Answer:
36
Step-by-step explanation:
The perimeter of ABCDE is equal to AB + BC + CD + DE + AE.
AB = 10 - 2 = 8 (The x values of A and B are the same, therefore the distance between them is the difference between their y values.)
BC = 7 - 4 = 3 (The y values of B and C are the same, therefore the distance between them is the difference between their x values.)
CD = [tex]\sqrt{(X_D - X_C)^2 + (Y_D - Y_c)^2} = \sqrt{(15 - 7)^2 + (4 - 10)^2} = \sqrt{8^2 + (-6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]
DE = [tex]\sqrt{(X_E - X_D)^2 + (Y_E - Y_D)^2} = \sqrt{(7 - 15)^2 + (-2 - 4)^2} = \sqrt{(-8)^2 + (-6)^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]
AE =
[tex]\sqrt{(X_E - X_A)^2 + (Y_E - Y_A)^2} = \sqrt{(7 - 4)^2 + (-2 - 2)^2} = \sqrt{3^2 + (-4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]
[tex]\Delta \text{ABCDE} = \text{AB} + \text{BC} + \text{CD} + \text{DE} + \text{AE} = 8 + 3 + 10 + 10 + 5 = 36[/tex]
The gradient of a curve C is given by
dy = x² + 6 + 9x-².
dx
The point (3, 20) lies on C. Find an equation for the curve C in the form y = f(x).
Answers
Answer:
[tex]y = \frac{1}{3} {x}^{3} + 6x - \frac{9}{x} - 4[/tex]
Step-by-step explanation:
explanation shown in picture ^^
25) If a number, n, divided by 8 equals 2.5, what is n?
26) The sum of a number, n, and 6.05 is 12.4. What is n?
27) Stacy is one-fourth as old as her mother. If Stacy's mother is 36, how old is Stacy?
28) One-third of a painting job takes 24 hours. How long will it take to finish the entire job?
Answers
The solutions for the equations in each of the questions given are as follows;
25). The number, n in which case equals 2.5 when divided by 8 is; n = 20.26). The number n which sums up with 6.05 to equal 12.4 is; n = 6.35.27). Stacy's age as required is; 9 years.28). The entire job takes 72 hours.What is the solution for the given equations?It follows from the task content that the solution for all of the given word problems are to be determined.
25. If a number, n, divided by 8 equals 2.5, what is n?
The algebraic representation is; n/8 = 2.5.
Hence, the value of n is; n = 8 × 2.5 = 20.
26. The sum of a number, n, and 6.05 is 12.4. What is n?
The algebraic representation is; n + 6.05 = 12.4.
Hence, the value of n is; n = 12.4 - 6.05 = 6.35.
27. Stacy is one-fourth as old as her mother. If Stacy's mother is 36, how old is Stacy?
The algebraic representation is; 36/4 = n.
Hence, Stacy's age, n is; n = 9.
28. One-third of a painting job takes 24 hours. How long will it take to finish the entire job?
The algebraic representation is; n/3 = 24.
Hence, the value of n is; n = 3 × 24 = 72 hours.
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Which of the following sets of numbers can be the lengths of the sides of a triangle?
2.6, 8.1, 10.2
6, 7, 13
1.2, 10.5, 2.1
6, 6, 12
Answers
Answer:6, 6, 12
Step-by-step explanation
2 sides must be equal which means 6 and 6 points are moving towards each other and 12 is the length
the student council at westford high school is making t-shirts to sell for a fundraiser, at a price of $10 apiece. the costs, meanwhile, are $6 per shirt, plus a setup fee of $72. selling a certain number of shirts will allow the student council to cover their costs. what will the costs be? how many shirts must be sold?
Answers
Cost will be $180 and so will be the revenue.
What is linear equation ?Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on. Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.
CalculationCost: C=72+6s, where s is the number of shirts sold
Revenue: R=10s
Break-even is where they are equal
72 + 6s = 10s
72/4 = s
s = 18 shirt s
Cost will be $180 and so will be the revenue.
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Explain how it is possible to determine whether the graphs of 5x−3y=2 and 5x-3y=8 are parallel without doing any calculations
Answers
The slope of line 1 and line 2 are equal. Then the lines are parallel to each other.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The slope of the parallel lines will be equal.
The equations are given below.
5x − 3y = 2 ...1
5x − 3y = 8 ...2
The slope of line 1 is given as,
5x − 3y = 2
y = (5/3)x − 2/3
The slope of line 1 is 5/3.
The slope of line 2 is given as,
5x − 3y = 8
y = (5/3)x − 8/3
The slope of line 2 is 5/3.
The slope of line 1 and line 2 are equal. Then the lines are parallel to each other.
The graph is given below.
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A garden designer designed a square decorative pool. The pool is surrounded by a walkway. On two opposite sides of the pool, the walkway is 8 feet. On the other two opposite sides, the walkway is 10 feet. The final design for the pool and walkway covers a total area of 1,440 square feet. ---------- a. The side length of the square pool is x. Write an expression that represents: 1. The total length of the rectangle (including the pool and walkway) 2. The total width of the rectangle (including the pool and walkway) 3. The total area of the pool and walkway b. Write an equation of the form: your expression = 1,440. What does a solution to the equation mean in this situation?
Answers
Part 1: The total length of the rectangle; 20 + x (Expression).
Part 2: The total width of the rectangle; 16 + x (Expression).
Part 3: The total area of the pool along with walkway; (20 + x)(16 + x).
Define the term area of the rectangle?The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth.The data for the question is given as-
The boardwalk around the pool is 8 feet long and on two different sides. The walkway is 10 feet wide on either two opposite sides. The pool and walkway's final design takes up a total of 1,440 square feet.The side length of the square pool is x.The expressions for the given cases are-
Part 1: The total length of the rectangle;
The total length of the rectangle = 10 + 10 + x
The total length of the rectangle = 20 + x (Expression)
Considering; 10 + 10 > 8 + 8
Part 2: The total width of the rectangle;
The total width of the rectangle = 8 + 8 + x
The total width of the rectangle = 16 + x (Expression)
Part 3: The total area of the pool along with walkway.
Area = length x breadth
Area = (20 + x)(16 + x).
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force
area
A block exerts a force of 9 N on the ground.
Calculate the pressure the block exerts on the ground, in N/m², when
it is
a) flat on the ground, so that the area of its base is 0.04 m².
b) standing up on its side, so that the area of its base is 0.015 m².
pressure =
Answers
A block exerts a force of 9 N on the ground.
Calculate the pressure the block exerts on the ground, in N/m², when it is
a) 225N/m^2
b) 600N/m^2
Define pressure.
Force applied per unit area is the definition of pressure. P=FA, where F is the force acting perpendicular to the surface area A, is the formula used to calculate pressure mathematically. Having only magnitude and no directional vector properties, pressure is a scalar quantity. The pascal (Pa), or one newton per square meter (N/m 2), is the industry standard for measuring pressure.
Solution Explained:
Given, Force = 9N
For each part of the question we will use the formula
Pressure = Force / Area (Since, Force = Pressure X Area)
a) Here, Area = 0.04m^2
So using the formula, we have
P = 9/0.04 = 225N/m^2
b) Here, Area = 0.015m^2
So using the formula, we have
P = 9/0.015 = 600N/m^2
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PLEASE I REALLY NEED HELP I DON'T UNDERSTAND PLEASE THANK YOU GUYS FOR THE HELP!! I APPRECIATE IT!!!
Answers
The value of KM in triangle ΔKLM is 110.
What is similarity?Similarity of a triangle is the ratio of their corresponding sides or angles which are equal .
In the given triangle ΔHIJ,
HI=13, HJ=25,
And in triangle ΔKLM,
KL=57, KM=?
triangle ΔHIJ is similar to ΔKLM,
By the property of similarity, HI/HJ=KL/KM
Substitute the values here,
13/25=57/KM
KM=25×57/13
KM=109.6
The value of KM=110.
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A goat is tied by a rope 2.5 m to a peg
in some grass. The goat eats 1 m² of
grass in
28 min. How long does it take to eat all that
it can reach?
Answers
Time taken to eat all = 549.5 minutes.
What is unitary method?
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
The goat can rototate in a circule the radius of the curcle is 2.5 mSo the area of circle is;A=(pi) (r^2)A=(3.14)(2.5)^2A=19.625 m^2As 28 minutes for 1 m^2 so;Time taken to eat all = (28)(19.625)=549.5 minutesHence,Time taken to eat all = 549.5 minutes.
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19)
By which rule are these triangles congruent?
A)aas
B)asa
C)sas
D) SSS
Answers
Step-by-step explanation:
Angel side angle rule (ASA)
3 is divided by the difference of 4 and a number
Answers
Answer:
[tex] \frac{3}{4 - x} [/tex]
help me please please please
Answers
Answer:
SA = 148 cm²
Step-by-step explanation:
the opposite faces of the cuboid are congruent , then
SA = 2(6 × 5) + 2(4 × 5) + 2(6 × 4)
= 2(30) + 2(20) + 2(24)
= 60 + 40 + 48
= 148 cm²
105 grams as percentage of 2kg
Answers
The line graphed below has a slope equal to -2. The point (3, 28) lies on
this line as shown. Determine the y-value on this line when the x-value is
equal to 11.
Answers
Answer:
y = 12
Step-by-step explanation:
We'll use the form of an equation of a straight line of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
We are told the slope, m, is -2.
That leads to: y = -2x + b
y = -2x + b
B, the y-intercept, can be found by using the given point (3,28) in the equation (it falls on the line, so must be a valid solution to the equation. Use the given x and y in the equation and solve for b:
y = -2x + b
28 = -2*(3) + b
28 = -6 + b
b = 34
The equation is y = -2x + 34
Use this to find y when x = 11:
y = -2(11) + 34
y = -22 + 34
y = 12
y is 12 when x is 11
See the attached graph.