Answers
The area of the irregular room is 82.5 ft²
How to determine the areaIt is important to note that the area of a triangle is represented with the formula
A = 1/2bh
Given that;
A is the area of the triangleb is the base of the triangleh is the height of the triangleFrom the image shown, we have that;
Area of the figure = sum of the areas of the two triangle
This represented as;
Area = 1/2 × 14(6) + 1/2 × 9(9)
expand the brackets
Area = 1/2 (84) + 1/2(81)
divide the values
Area = 42 + 40. 5
Add the values
Area = 82.5 ft²
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Related Questions
Age, f
15, 1
14, 1
13, 1
12, 1
11, 1
10, 1
9, 0
8, 2
7, 2
1. Which measure of central tendency would be the most appropriate to describe the variable Gender? Age?
2. Calculate Mode, Median and Mean for Age. 3. Calculate the range, variance and standard deviation (use the formula for population variance and SD) for Age.
4. What are the ages of participants that reflect 68% of your sample?
Answers
Answer:
It seems like there is a mistake in the variable provided. The variable mentioned is "Gender" but the data provided is about "Age" and "f" (frequency). Assuming that "f" is the frequency of participants at each age, here are the answers to your questions:
For the variable "f", the most appropriate measure of central tendency would be the mode, which represents the most frequently occurring value. For the variable "Age", the most appropriate measure of central tendency would be the median, as it is less affected by outliers than the mean.
Mode = 8; Median = 11; Mean = 10.11 (rounded to two decimal places)
Range = 15 - 7 = 8; Variance = 8.99 (rounded to two decimal places); Standard deviation = 2.99 (rounded to two decimal places)
To calculate the age range that reflects 68% of the sample, we need to find the mean age and the standard deviation. The mean age is 10.11, and the standard deviation is 2.99. 68% of the data falls within one standard deviation of the mean. Using the empirical rule, we can say that the ages of participants that reflect 68% of the sample are between (10.11 - 2.99) and (10.11 + 2.99), which is between 7.12 and 13.10.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since the variable Gender is not given in the data, we cannot compute any measure of central tendency for it. For the variable Age, the most appropriate measure of central tendency would be the mode, since all the observations have the same value for this variable.
To calculate the mode, median and mean for Age, we can first arrange the data in ascending order of age:
7, 2
8, 2
9, 0
10, 1
11, 1
12, 1
13, 1
14, 1
15, 1
The mode is the most frequently occurring value, which is 1 for all ages. The median is the middle value when the data is arranged in ascending order. Since there are 9 observations, the median is the average of the 5th and 6th values, which are 12 and 13. So, the median is (12+13)/2 = 12.5. The mean is the sum of all the values divided by the number of observations, which is:
(72 + 82 + 90 + 101 + 111 + 121 + 131 + 141 + 15*1) / 9 = 11.44 (rounded to two decimal places)
Therefore, the mode is 1, the median is 12.5 and the mean is 11.44.
To calculate the range, variance and standard deviation for Age, we can use the following formulas (assuming the data is a population):
Range = maximum value - minimum value = 15 - 7 = 8
Mean = 11.44 (computed in step 2)
Variance = Σ(x - μ)^2 / N, where μ is the mean, x is each value, and N is the number of observations. Plugging in the values, we get:
Variance = [(7-11.44)^2 + (8-11.44)^2 + (9-11.44)^2 + (10-11.44)^2 + (11-11.44)^2 + (12-11.44)^2 + (13-11.44)^2 + (14-11.44)^2 + (15-11.44)^2] / 9 = 5.72 (rounded to two decimal places)
Standard deviation = square root of variance = √5.72 = 2.39 (rounded to two decimal places)
Therefore, the range is 8, the variance is 5.72, and the standard deviation is 2.39.
Since the data is approximately normally distributed, we can use the empirical rule to estimate the ages that reflect 68% of the sample. According to the empirical rule, 68% of the data falls within one standard deviation of the mean. So, we can compute the lower and upper limits of this range by subtracting and adding one standard deviation from the mean, respectively:
Lower limit = mean - standard deviation = 11.44 - 2.39 = 9.05 (rounded to two decimal places)
Upper limit = mean + standard deviation = 11.44 + 2.39 = 13.83 (rounded to two decimal places)
Therefore, the ages of participants that reflect 68% of the sample are between 9.05 and 13.83 years old.
A rectangle ABCD has coordinates A(1, 2), B(7, 5) and C(1, 5) for three of its vertices. The rectangle is dilated by a scale factor of 3 with the center of dilation at the origin. The new rectangle that is formed is A’B’C’D’. What are the coordinates of D’ ?
Answers
Answer:
I think is D'C becausse everything goes back words
Determine if the triangle pictured below is a right triangle.
(30 points)
Answers
Answer: Yes
Step-by-step explanation: Even though the sides might be different because there is little detail in this illustration, you actually have to predict, and if it looks as straight up as it is here, it counts as right. (Also, if you have a tool like a protractor, you could use that to measure it.)
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Aaron sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
38 visitors purchased no costume.
239 visitors purchased exactly one costume.
12 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase no costume as a decimal to the nearest hundredth.
Answers
The probability that the next person will purchase no costume is 0.13.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The total number of visitors to the website in a single day is:
38 + 239 + 12 = 289
Of these visitors, we know that 38 purchased no costume.
Therefore, the probability that the next person to visit the website will also purchase no costume is:
38/289 = 0.13
Hence, the probability that the next person will purchase no costume is approximately 0.13, or 13% to the nearest hundredth.
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Effect of Price on Supply of Eggs Suppose the wholesale price of a certain brand of medium-sized eggs p (in dollars/carton) is related to the weekly supply x (in thousands of cartons) by the following equation.
625p2 − x2 =100
If 37000 cartons of eggs are available at the beginning of a certain week and the price is falling at the rate of 7¢/carton/week, at what rate is the supply changing? (Round your answer to the nearest whole number.) (Hint: To find the value of p when x = 37, solve the supply equation for p when x = 37.)
Answers
The supply of the supply of eggs is changing at 10.7¢ per carton per week
How to determine the rate at which the supply changing?The equation of the function is given as
625p^2 - x^2 = 100
When the supply is 37000, we have
x = 37
So, the equation becomes
625p^2 - 37^2 = 100
Evaluate
625p^2 - 1369 = 100
This gives
625p^2 = 1469
Divide by 625
p^2 = 2.3504
Take the square roots of both sides
x = 1.53
The supply rate is then calculated as
Rate = 7¢ * 1.53
Evaluate
Rate = 10.7¢
Hence, the supply is changing at 10.7¢ per carton per week
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Use implicit differentiation to find an equation of the tangent line to the curve
sin(x+y)=4x−4y at the point (π,π)
Answers
Answer:
The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.
Step-by-step explanation:
o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:
Differentiate both sides of the equation with respect to x:
cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx
Simplify by grouping the terms with dy/dx on one side and the rest on the other side:
cos(x+y) * (1 + dy/dx) + 4dy/dx = 4
Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):
cos(2π) * (1 + dy/dx) + 4dy/dx = 4
Simplify:
-5dy/dx = 4 - cos(2π)
dy/dx = -4/5
Use the point-slope form of the equation of a line to write the equation of the tangent line:
y - π = (-4/5)(x - π)
Simplify:
y = (-4/5)x + (8/5) + π
The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.
In a daycare with 125 children, there are 43 babies, 15 one-year olds, 20 two-year olds, 13
three-year olds, and 9 four-year olds. What is the probability that a randomly selected child is a
two-year old?
Answers
Answer:
20/125 is the answer
Step-by-step explanation:
Find
Domain:
Range:
x-intercept:
Y-intercept:
Horizontal Asymptote:
Vertical Asymptote:
For =1/x
Pic attach below
Answers
Answer:
Ignore my handwriting loll
Step-by-step explanation:
Hope this helps! :)
Image! (URGENT)
(Please give answer to combine like terms part too if its not correct)
Answers
Answer:
3y²+6y-2y²+3y
collect like terms
3y²-2y²+6y+3y
5y²+9y
Is this line proportional or non-proportional
Answers
which part of diagram shows the quantity x?
Answers
The diagram shows the quantity x is 13.
What is tape diagram?A tape diagram, also known as a bar model or a strip diagram, is a visual representation of a problem or situation that helps students to organize and solve mathematical problems. It involves drawing a rectangular strip or bar to represent a quantity or a value, and then dividing or labeling the strip to represent different parts of the problem.
The full completed question is related to an equation as shown in the below diagram (Check it).
Given equation is x+4 = 17
Draw a tape diagram to represent the equation.Which part of the diagram shows the quantity of x ?If we select part 'a' the diagram is shown in the below diagram, see it.
For part 'b' the quantity x can be represent by:
x+4 = 17
x = 17 - 4
x = 13
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Question 10
8 pts
At Dunkin Donuts, you can get 12 donuts for $10 or you can get 6
donuts for $6.99.
Which is the better deal, 12 or 6? Explain your answer.
Answers
The better deal is 12 donuts for $10 because the unit rate is $0.83.
How to determine the unit price?Generally speaking, a unit price can be defined as the price that is being charged by a seller for the sale of a single unit of product.
In order to determine the unit price, we would determine the unit price for number of donuts by using the following mathematical expression;
Unit price = Cost of donuts/Number of donuts
Substituting the given parameters into the unit price formula, we have the following;
Unit price = $10/12
Unit price = $0.83.
For the second deal, we have:
Unit price = $6/6.99
Unit price = $0.86.
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Given CB is 7 and angle A is 25, find the value of triangle ABC.
Answers
The value of area of triangle ABC is found as 11.42 sq. unit.
Explain about the area of triangle?A triangle is really a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides with three angles in every triangle, and some of them could be the same.A triangle's surface area is equal to the product of its base and height.Area of a triangle = ½ × base × height.
From the given data:
Using trigonometric function.
tan 25 = 7 / AC
AC = 7*tan 25
AC = 3.26
Area of triangle ABC = ½ × 7× 3.26
Area of triangle ABC = 11.42
Thus, the value of area of triangle ABC is found as 11.42 sq. unit.
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a package of 8 count AA batteries costs $6.16, a package of 20 count AA batteries costs $15.20
Answers
Answer:
What is the unit price of each battery in each package?
To find the unit price of each battery in each package, we need to divide the total cost of each package by the number of batteries in each package.
For the package of 8 count AA batteries:
Total cost: $6.16
Number of batteries: 8
Unit price = Total cost / Number of batteries = $6.16 / 8 = $0.77 per battery
For the package of 20 count AA batteries:
Total cost: $15.20
Number of batteries: 20
Unit price = Total cost / Number of batteries = $15.20 / 20 = $0.76 per battery
Therefore, the unit price of each battery in the package of 8 count AA batteries is $0.77, and the unit price of each battery in the package of 20 count AA batteries is $0.76.
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Step-by-step explanation:
To find the unit price of each battery in each package, we need to divide the total cost of each package by the number of batteries in each package.
For the package of 8 count AA batteries:
Total cost: $6.16
Number of batteries: 8
Unit price = Total cost / Number of batteries = $6.16 / 8 = $0.77 per battery
For the package of 20 count AA batteries:
Total cost: $15.20
Number of batteries: 20
Unit price = Total cost / Number of batteries = $15.20 / 20 = $0.76 per battery
Therefore, the unit price of each battery in the package of 8 count AA batteries is $0.77, and the unit price of each battery in the package of 20 count AA batteries is $0.76.
Using arithmetic operation, the statement that is true is -
A: The 20-count pack of AA batteries has a lower unit price of $0.78 per battery.
D: The 8-count pack of AA batteries has a lower unit price of S0.77 per battery
What is arithmetic operation?
A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
To find the unit price per battery, we divide the cost of each package by the number of batteries in the package.
For the 8-count pack -
Use the arithmetic operation of division.
Unit price per battery = $6.16 / 8 batteries = $0.77 per battery
For the 20-count pack -
Use the arithmetic operation of division.
Unit price per battery = $15.60 / 20 batteries = $0.78 per battery
Therefore, the statements A and D are correct.
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find the value of x. 6cm 4cm x = ? cm angle measures and segment lengths
Answers
The length of segment in the given circle x is 5 cm.
What is circleA circle is formed by all points in a plane that are at a particular distance from the centre. The radius of a circle is the separation between any point on the circle and its center.
Intersecting Secant-Tangent TheoremThe product of the measures of the secant segment and its external secant segment equals the square of the measure of the tangent segment if a tangent segment from a location outside the circle, secant segments are drawn.
In the circle shown, if
AB=6cm
AC=4cm and
CD=x?
According to tangent-secant relation:AC×AD=[tex]AB^{2}[/tex]
4(4+x)=[tex]6^{2}[/tex]
4+x=36/4
x=5
Hence, The length of segment in the given circle x is 5cm.
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Kurt uses 3 cups of flour for every 2 cups of sugar in a recipe. How many cups of sugar will he need if he uses 6, 9, or 12 cups of flour?
Answers
Answer: 6 cups of flour = 4 cups of sugar
9 cups of flour = 6 cups of sugar
12 cups of flour = 9 cups of sugar
Step-by-step explanation:
Well, if Kurt uses 3 cups of flour for every 2 cups of sugar, than for every 6 cups of flour, he would need 4 cups of sugar. With 9 cups of flour, he would need 6 cups of sugar. For 12 cups of flour, he would need 9 cups of sugar.
9 cups of flour = 6 cups of sugar
12 cups of flour = 9 cups of sugar
Kallie works at a pet store. Part of her job is to add the correct amount of water
conditioner to each fish tank. The list below provides information about the
number of fish tanks and the amount of water conditioner she uses.
• There are 12 fish tanks that need water conditioner.
• Each fish tank is filled with 20 quarts of water.
• For every 10 gallons of water, Kallie uses 1 teaspoon of water conditioner.
What is the total number of teaspoons of water conditioner Kallie will use for all the
water in the 12 fish tanks?
Answers
The number of teaspoons that Kallie will use for all the water in the 12 fish tanks is given as follows:
6 teaspoons.
How to obtain the number of teaspoons?The number of teaspoons that Kallie will use for all the water in the 12 fish tanks is obtained applying the proportions in the context of the problem.
Each fish tank is filled with 20 quarts of water, which is equivalent to 20 x 0.25 = 5 gallons of water.
There are 12 fish tanks, hence the total number of gallons that are needed is given as follows:
12 x 5 = 60 gallons.
For every 10 gallons of water, Kallie uses 1 teaspoon of water conditioner, hence the number of teaspoons is given as follows:
60/10 = 6 teaspoons.
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What is the area of this complex figure?
178 m²
128 m²
30 m²
20 m²
Answers
Answer: 164
Step-by-step explanation: (16 X 8) + (6 X 5)+ (^^triang)+ 164
If the surface area of a shape is 314 and a 5 by 5 cube is taken out of the shape what is the surface area now?
Answers
The surface area of the shape when a cube is taken out of it would be = 164.
How to calculate tye surface area of the shape?The surface area is defined as the area that is being occupied by outer surface of a shape of object.
The surface area of a given shape = 314
An area of a cube shape is taken out of it with sides = 5×5
The area of a cube = 6(a²)
where a = 5
area of the cube = 6(5²)
= 6×25 = 150
Therefore, the surface area of the shape after area of cube such as = 150 has been removed from it ;
= 314-150
= 164.
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Patrick bought 4 bags of beans. There are b beans in each bag. Write an expression that shows how many beans Patrick bought.
how do you figure this out????????????
Answers
Patrick bought 4 times the number of beans in each bag.
What is expressions ?
An expression is a combination of one or more numbers, variables, and operations. It can contain constants, variables, coefficients, and mathematical operations such as addition, subtraction, multiplication, and division. Expressions can be evaluated to obtain a numerical result or simplified by combining like terms or using mathematical rules.
To find an expression that shows how many beans Patrick bought, you can multiply the number of bags by the number of beans in each bag.
So, if Patrick bought 4 bags of beans, and there are b beans in each bag, then the expression would be:
4b
This means that Patrick bought 4 times the number of beans in each bag.
Therefore, Patrick bought 4 times the number of beans in each bag.
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Work out 15:
6
Give your answer as an integer or as a
fraction in its lowest terms.
PLEASE HELP
Answers
Answer:
[tex] \frac{25}{2} [/tex]
Step-by-step explanation:
Given 15 ÷6/5
[tex]15 \div \frac{6}{5} \\ = > 15 \times \frac{5}{6} \\ = > 5 \times \frac{5}{2} \\ = > \frac{25}{2} \\ therefore \: the \: answer \: is \: \frac{25}{2} \\ this \: is \: because \: it \: cannot \: be \: broken \: down \: into \: lowest \: term \: again[/tex]
to find the sum of two fractions with the same denominator you just have to add the
A. numerators
B. medians
C. differences
D. denominators
Answers
hi
im pretty sure the answer is
a. numerators
hope this helps
good luck;)
Answer:
A
Step-by-step explanation:
You have to add the numerator and keep the denominators the same! :)
What does a right triangle equal
Answers
Answer:
180 degree
Step-by-step explanation:
The right triangle equals 180 degree. All three angles must add up to 180.
Answer:
180°
Step-by-step explanation:
right triangles equal 180°
The data below are the ages and systolic blood pressures (measured in millimeters of mercury) of 9 randomly selected adults. What is the best predicted value for y given x=41? Assume that the variables x and y have a significant correlation.
X= 38 41 45 48 51 53 57 61 65
Y= 116 120 123 131 142 145 148 150 152
Answers
The solution is : the predicted blood pressure for a person aged 64 will be : 156.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x ; ax^2+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution.
here, we have,
Given the data:
Age (X) :
38
41
45
48
51
53
57
61
65
Pressure(Y) :
116
120
123
131
142
145
148
150
152
From the data, we could obtain a regression equation to mod the data Given using a linear regression calculator :
The regression equation obtained is :
y = 1.48769X + 60.46103
Using the model, the predicted blood pressure for a person aged 64 will be :
y = 1.48769(64) + 60.46103
y = 95.21216 + 60.46103
y = 155.67319
y = 156 (nearest whole number)
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The best predicted value of y for the given x=41 is 121.45.
What is the correlation coefficient?The correlation coefficient describes how one variable moves in relation to another. A positive correlation indicates that the two move in the same direction, with a value of 1 denoting a perfect positive correlation. A value of -1 shows a perfect negative, or inverse, correlation, while zero means no linear correlation exists.
Given that,
X= 38 41 45 48 51 53 57 61 65
Y= 116 120 123 131 142 145 148 150 152
∑x= 459
∑y= 1227
∑x²= 24059
∑y²= 168843
∑xy= 63544
Sxx= ∑x²-∑x²/n
= 24059-459²/9
= 650
Sxy = ∑xy-(∑x·∑y)/n
= 63544-(459×1227)/9
= 63544-62577
= 967
Now, slope =967/650= 1.488
Mean of x=459/9 =51
Mean of y=1227/9 = 136.33
Now, intercept is b=136.33-(1.488×51)
= 60.442
Here, the equation of a line is y=1.488x+60.442
When x=41, we get
y=1.488×41+60.442
y= 121.45
Therefore, the best predicted value of y is 121.45.
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Help me please I need help i dont know the answer!
Answers
The value of x that makes the equation true is 2.25.
What are model representations of equation?A mathematical model is an abstract, mathematically based description of a physical system. Mathematical modelling is the process of creating a mathematical model. Both applied mathematics and the natural sciences employ mathematical models. The area of operations research is largely concerned with using mathematical models to resolve issues in commercial or military operations.
Using the figure we see that, for the left model we have:
3 (-x) = -3x.
Also, we have 10(1) = 10
Thus the left model has the equation:
-3x + 10
For the right model we have:
5x - 8
Equate the two models:
-3x + 10 = 5x - 8
18 = 8x
x = 2.25
Hence, the value of x that makes the equation true is 2.25.
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pleeeeeeeeeeeeeeese helpFind the percent equivalent to 16 over 25.
Answers
Answer:
64%
Step-by-step explanation:
Convert a fraction to a decimal and move the decimal point to make a percent
Angel 270 and radius 12
Answers
Therefore, the length of the arc intercepted by the central angle is 56.52 cm (rounded to two decimal places).
What is arc?In geometry, an arc is a part of a circle. Specifically, it is a portion of the circumference of a circle. An arc can be defined by two endpoints and all the points on the circle's circumference between those endpoints. Arcs are commonly measured in degrees, just like angles. A full circle has 360 degrees, so a semicircle has 180 degrees, and so on. The length of an arc depends on the size of the circle and the size of the central angle that intercepts it. Arcs are important in many applications of geometry, such as in navigation, architecture, and engineering. They are also used in trigonometry and calculus to study functions that involve circular or periodic behavior.
Here,
We can use the formula for the length of an arc of a circle to find the length of the arc intercepted by a central angle. The formula is:
Length of arc = (Central angle / 360) x (2 x π x radius)
where π (pi) is a mathematical constant approximately equal to 3.14.
In this case, the central angle measures 270 degrees and the radius of the circle is 12 cm. We can substitute these values into the formula to get:
Length of arc = (270 / 360) x (2 x π x 12)
Length of arc = (3/4) x (2 x 3.14 x 12)
Length of arc = 0.75 x 75.36
Length of arc = 56.52 cm
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Complete question:
A central angle measures 270 degrees . If the radius of the circle is 12 cm , what is the length of the arc intercepted by the central angle ?
explain what we mean by marginal cost
Answers
Answer: Marginal cost is the added cost to produce an additional good or the increase in production costs generated by the production of additional product units
Step-by-step explanation: It is calculated by taking the total change in the cost of producing more goods and dividing that by the change in the number of goods produced.
Answer:
So it's basically the cost added by producing one extra unit of a product or service. I hoped this helped and if you need a better explanation let me know!
Please help on this fast
Answers
Answer:
21 miles per gallon
Step-by-step explanation:
find the gradient of the line:
change in y = 105 - 21 = 84
change in x = 5 - 1 = 4
gradient is change in y/ change in x
= 84/4 = 21
Multiple choice: The distance between the bases on a softball field is 60 ft
Answers
By answering the above question, we may infer that The equation's answer is B) 60 ft.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
What is the distance between the bases on a softball field
A) 50 ft
B) 60 ft
C) 70 ft
D) 80 ft
The answer is B) 60 ft.
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