It's not possible to directly convert a numerical line plot into a categorical line plot.
Without specific examples of the data displays in question, it's difficult to provide a detailed answer. However, in general, a numerical line plot displays the relationship between two numerical variables, usually showing how one variable changes over time or some other continuous scale. On the other hand, a categorical line plot shows the relationship between a numerical variable and a categorical variable, where the categories are displayed on the x-axis.
One similarity between the two displays is that they both use lines to represent the data. However, in a numerical line plot, the lines are used to connect data points in a continuous manner, while in a categorical line plot, the lines connect the means or medians of each category.
One difference between the two displays is that a numerical line plot can show the exact values of the data points, while a categorical line plot only shows the mean or median for each category. Additionally, a categorical line plot is often used when the categories are unordered, while a numerical line plot is used when the x-axis represents a continuous scale.
In general, it's not possible to directly convert a numerical line plot into a categorical line plot. However, if the numerical variable in the original plot is binned into categories, a categorical line plot can be created using the mean or median value for each bin.
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The hypotenuse of a right triangle is 1 cm longer than the longest leg. The shorter leg is 7 cm shorter than the longest leg. Find the dimensions of the triangle.
Answer:
The hypotenuse is 13 cm
The longest leg is 12 cm
The shortest leg is 5 cm
Step-by-step explanation:
Given:
A right triangle
Let's assume, that the longest leg is x, the shortest leg is y and the hypotenuse is z
Let's write 2 equations according to the given information and put them into a system (use the Pythagorean theorem):
[tex]z = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
{√(x^2 + y^2) = x + 1,
{x - y = 7;
Let's make x the subject from the 2nd equation:
x = 7 + y
Replace x in the 1st equation with its value from the 2nd one:
[tex] \sqrt{( {7 + y)}^{2} + {y}^{2} } = (7 + y) + 1[/tex]
[tex] \sqrt{49 + 14y + {2y}^{2} } = 8 + y[/tex]
Square both sides of the equation:
[tex]2 {y}^{2} + 14y + 49 = {(8 + y)}^{2} [/tex]
[tex]2 {y}^{2} + 14y + 49 = 64 + 16y + {y}^{2} [/tex]
Move the expression to the left and collect like-terms:
[tex] {y}^{2} - 2y - 15 = 0[/tex]
a = 1, b = -2, c = -15
Solve this quadratic equation:
[tex]d = {b}^{2} - 4ac = ({ - 2})^{2} - 4 \times 1 \times ( - 15) = 64 > 0[/tex]
[tex]y1 = \frac{ - b - \sqrt{d} }{2a} = \frac{2 - 8}{2 \times 1} = \frac{ - 6}{2} = - 3[/tex]
y must be a natural number, since the length of a triangle's side cannot have negative units
[tex]y2 = \frac{ - b + \sqrt{d} }{2a} = \frac{2 + 8}{2 \times 1} = 5[/tex]
We found the length of the shortest leg
Now, we can find the rest of the dimensions:
x = 7 + 5 = 12
[tex]z = \sqrt{ {12}^{2} + {5}^{2} } = \sqrt{144 + 25} = \sqrt{169} = 13[/tex]
There are two right circular cylinders. The radius of the first cylinder is 3 centimeters, and its height is 5 centimeters. The radius of the second cylinder is 15 centimeters, but its height is also 5 centimeters. What is the ratio of the volume of the second cylinder to the volume of the first cylinder? A. 9:1 B. 16:1 C. 36:1 D. 25:1
Answer:
D) 25 : 1
Step-by-step explanation:
[tex]\boxed{\bf Volume \ of \ cylinder = \pi r^2h}[/tex]
Cylinder 1:
[tex]h_1 = 5 \ cm\\\\r_1 = 3 \ cm[/tex]
Cylinder 2:
[tex]h_2 = 5 \ cm\\\\r_2 = 15 \ cm[/tex]
[tex]Volume \ of \ cylinder2 : Volume \ of \ cylinder1 = \dfrac{\pi * 15 * 15 * 5}{\pi *3*3*5}[/tex]
= 25 : 1
how do I do 2,000,001 divided 9
Answer:222222.333
Step-by-step explanation:
easy just divide
Triangle RST with R(1, 2), S(4, 2), T(2, -3);
270° counterclockwise
Answer:
Step-by-step explanation:
270 counter clockwise = 90 clockwise
This is (x, y) ---> (y, -x).
So R'S'T' will be R'(2, -1), S'(2, -4) and T' = (-3, -2)
What quadrant is -0.5 , -1.5
Answer:
third
Step-by-step explanation:
both the points are negative therefore they would be in the third quadrant
Evaluate:
n+2m;m=12,n=2
HURRY!!! Will give Brainliest!!
Answer:
26
Step-by-step explanation:
n+2m m = 12, n = 2
2 + 2(12)
2 + 24
26
Ed is a farmer who changes $3.75 for 5 pounds of cabbage. This table shows the rates charged for cabbage by some other farmers.
Determine whether the unit rate charged for cabbage by the other farmers is less than, equal to, or greater than the unit rate charged by Ed.
The table in the attachment compares the unitary-method prices for cabbage charged by Ed ($0.75 per unit) and other farmers.
Farmer-A:Greater than Ed
Farmer-B:Equal to Ed
Farmer-C:Less than Ed
Farmer-D:Equal to Ed
What is unitary-method?Unitary technique refers to the process of figuring out the cost of the necessary items. The value of a multiple is typically used to determine the value of one item, and the value of the desired number of articles can subsequently be determined from the value of one. This method primarily uses both division and multiplication.
Considering that Ed fixed the price for 5 pounds of cabbage at $3.75
5 pounds cabbage= $3.75
1 pound cabbage=$3.75 ÷ 5
Unit rate set by Ed = $ 0.75
Charges Set by Farmer-A= $ 0.50 for 1/2 pound
Unit rate set by Farmer-A = $ 0.50 x 2
= $1
Charges Set by Farmer-B= $ 0.75 for 1 pound
Unit rate set by Farmer-B = $ 0.75
Charges Set by Farmer-C= $ 1.75 for 2 1/2 pound
= $ 1.75 ÷ 5/2
Unit rate set by Farmer-C = $ 1.75 x 2/5
=$ 0.70
Charges Set by Farmer-D= $ 6 for 8 pound
= $ 6 ÷ 8
Unit rate set by Farmer-D = $ 0.75
Based on the above calculation:
Farmer-A charges:Greater than Ed
Farmer-B charges:Equal to Ed
Farmer-C charges:Less than Ed
Farmer-D charges:Equal to Ed
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A certain shampoo is available in two sizes. A 10.1-ounce bottle costs $2.53. A 23.7-ounce bottle costs $5.48. Find the unit price for each size. Then state which size is the better buy based on the unit price.
Based on the unit price, the 23.7-ounce bottle is the better buy, since it costs less per ounce than the 10.1-ounce bottle.
What is meant by unit price?
Unit price refers to the cost of one unit of a product or service. It is calculated by dividing the total cost of the item by the number of units and is used by consumers to compare the prices of different products or by businesses to determine their pricing strategies.
What is an ounce?
An ounce is a unit of measurement used to express weight or mass. It is equal to 1/16th of a pound or approximately 28.35 grams. Ounces are commonly used to measure the weight of food, liquids, and precious metals.
According to the given information
To find the unit price for each size of shampoo, we need to divide the cost of each bottle by its size in ounces.
For the 10.1-ounce bottle, the unit price is:
Unit price = cost / size = $2.53 / 10.1 oz = $0.25 per ounce
For the 23.7-ounce bottle, the unit price is:
Unit price = cost / size = $5.48 / 23.7 oz = $0.23 per ounce
So, based on the unit price, the 23.7-ounce bottle is the better buy, since it costs less per ounce than the 10.1-ounce bottle.
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Consider the division of 15h2 + 10h + 25 by 5h.
= X + Y +
What are the values of X and Y?
X = 3 and Y = 2
X = and Y =
X = 3h and Y = 2
X = and Y =
Therefore, the quotient X is 3 and the remainder Y is 25.
So, X = 3 and Y = 25.
What is expression division?Expression division is a mathematical operation where one expression is divided by another. In mathematics, an expression is a combination of numbers, variables, and operators that represent a mathematical relationship or a value. Division is an arithmetic operation that involves splitting a quantity into equal parts or groups.
So, expression division refers to dividing one mathematical expression by another. For example, if we have two expressions "x + 5" and "3", we can perform expression division by dividing the first expression by the second expression, which would result in the expression "(x + 5) ÷ 3". The result of this expression would be another expression that represents the quotient of the two expressions.
To perform the division of 15h^2 + 10h + 25 by 5h, we need to follow the long division process as shown below:
________
[tex]5h | 15h^2 + 10h + 25[/tex]
[tex]15h^2[/tex]
_______
[tex]10h + 25[/tex]
[tex]10h[/tex]
_____
25
Therefore, the quotient X is 3 and the remainder Y is 25.
So, X = 3 and Y = 25
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1)
Find the value of x in
the triangle below:
17
A) 20.2
B) 18.7
C) 19.5
D) 21.1
E) 22.6
K
84⁰
65°
Mrs. Wilson
Mrs. Crane
Mr. Haynes
Ms. Lindstrom
Mr. Swasey
O Gina Wilson (All Things Algebra), 2014
The correct option is A) 20.2.
What is triangle sum?
The triangle sum is a property of triangles that states that the sum of the interior angles of a triangle is always equal to 180 degrees. In other words, if you add up the measures of the three angles inside a triangle, the result will always be 180 degrees.
Using the given information and the fact that the angles in a triangle sum to 180 degrees, we can find the value of x as follows:
Start by finding the measure of angle K by subtracting the measures of angles A and B from 180 degrees:
K = 180 - A - B
= 180 - 84 - 65
= 31 degrees
Use the law of sines to set up an equation relating the side lengths and corresponding angle measures:
sin(A)/x = sin(K)/17
Substitute the values we know into the equation and solve for x:
sin(84)/x = sin(31)/17
x = sin(84)*17/sin(31)
Using a calculator, we get:
x ≈ 20.2
Therefore, the value of x in the triangle is approximately 20.2.
So, the correct option is A) 20.2.
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A street food vendor's total pay, p, is $600 per week plus $0.20 for every empanada, e, he sells. The equation p = 600+ 0.20 × e represents the vendor's total weekly pay. Which statement
describes the relationship between the number of empanadas sold and the vendor's total pay?
A. When the independent variable, the vendor's total pay, increases by $1, the dependent
variable, the number of empanadas, increases by 5.
B. When the independent variable, the vendor's total pay, increases by $5, the dependent
variable, the number of empanadas, increases by 1.
C. When the independent variable, the number of empanadas, increases by 1, the
dependent variable, the vendor's total pay, increases by $5.
D. When the independent variable, the number of empanadas, increases by 5, the
dependent variable, the vendor's total pay, increases by $1.
C. When the independent variable, the number of empanadas, increases by 1, a dependent variable, the vendor's total pay, increases 5.
what is independent variable ?
An independent variable is a variable in a mathematical equation or relationship that is not affected by any other variables. It is often denoted as "x" and is manipulated or controlled in an experiment or study to observe its effect on the dependent variable.
In the given question,
C. independent variable are the number of empanadas, increases 1, the dependent variable, vendor's total pay, increases 5.
This can be seen from the given equation: p = 600 + 0.20 x e.
When the number of empanadas sold, e, increases by 1, the total pay, p, increases by:
p = 600 + 0.20 x (e + 1) - 0.20 x e
p = 600 + 0.20
p = 600 + 0.20 x 1
p = 600 + 0.20
p = 600.20
This represents an increase of 5 in the vendor's total pay when the number of empanadas sold increases by 1.
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 the phone case you want to buy is marked down 25% and you have a 10% off coupon. You pay $27. Can this equation be used to find the original price of the phone case? Explain why the equation does or does not fit the scenario then determine the original price of the phone case.  9/10×0.75C equals 27. 
The original price of the phone case was $40 according to the given equation.
What does equation mean?In mathematics, an equation is a statement that indicates that two expressions are equal. Equations usually consist of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The LHS and RHS may contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.
According to the given informationYes, the equation 9/10 x 0.75C = 27 can be used to find the original price of the phone case.
Here's why:
The initial price of the phone case is represented by C.
It's marked down by 25%, which means the new price is 0.75C (75% of the original price).
You then apply a 10% off coupon, which means you pay 90% of the new price or 9/10 x 0.75C.
The equation 9/10 x 0.75C = 27 represents the final price you paid for the phone case, so we can solve for C to find the original price.
To solve for C, we can first simplify the left side of the equation:
9/10 x 0.75C = 27
0.675C = 27
Next, we can divide both sides by 0.675 to isolate C:
C = 40
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laney walks 0.23 miles to school each day. how many miles does she walk total to and from school in 5 days
Answer:
1.15
Step-by-step explanation:
To figure out how many miles she walked in 5 days, we can multiply the number from just one day and multiply that by 5 and we will get our answer!
0.23 * 5 = 1.15
solve the triangles.
find the angles and round the decimal to the nearest tenth
The angles A and C in the triangle with sides AC = 24, BC = 15, and angle B = 74 degrees are approximately 29.16 degrees and 45.84 degrees, respectively.
What is the size of angles A and C?To find angles A and C in the triangle, we can use the Law of Cosines, which relates the lengths of the sides of a triangle to the cosine of the included angle.
Let's denote the angles opposite to the sides with lengths 24, 15, and AB as A, B, and C, respectively. Then, the Law of Cosines gives us:
AB^2 = AC^2 + BC^2 - 2ACBCcos(B)
AB^2 = 24^2 + 15^2 - 22415cos(74)
AB^2 ≈ 758.76
AB ≈ 27.54
Now, we can use the Law of Sines, which relates the ratios of the lengths of the sides to the sines of the opposite angles:
sin(A) / AB = sin(B) / BC
sin(A) / 27.54 = sin(74) / 15
sin(A) ≈ 0.4927
A ≈ sin^-1(0.4927) ≈ 29.16 degrees
sin(C) / AB = sin(B) / AC
sin(C) / 27.54 = sin(74) / 24
sin(C) ≈ 0.6863
C ≈ sin^-1(0.6863) ≈ 45.84 degrees
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An African elephant has a mass of
8139
kg
8139 kg8139, start text, space, k, g, end text.
Choose the best approximation of the mass of an African elephant.
Choose 1 answer:
Choose 1 answer:
(Choice A)
8
⋅
1
0
3
kg
8⋅10
3
kg8, dot, 10, cubed, start text, space, k, g, end text
A
8
⋅
1
0
3
kg
8⋅10
3
kg8, dot, 10, cubed, start text, space, k, g, end text
(Choice B)
8
⋅
1
0
4
kg
8⋅10
4
kg8, dot, 10, start superscript, 4, end superscript, start text, space, k, g, end text
B
8
⋅
1
0
4
kg
8⋅10
4
kg
Best approximation of the mass of an African elephant is 8 ×10³kg
Define massIn physics, mass is a fundamental property of matter that measures the amount of substance in an object. It is a scalar quantity that describes an object's resistance to acceleration when a force is applied. Mass is usually measured in kilograms (kg) and can be calculated by dividing an object's weight by the acceleration due to gravity.
Given;
Mass of elephant=8139kg
Dividing the mass by 1000 and multiplying it by 10³, we get
Mass of elephant=8.139 ×10³kg
Estimating the mass of elephant, we get
Mass of elephant=8 ×10³kg
hence, best approximation of the mass of an African elephant is 8 ×10³kg.
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What is the following product
I think it's 3 sorry if I am wrong!!
Calculate the perimeter of this shape.
The diagram above shows a conceptual model of a spherical star that generates and
emits light energy. Here are the assumptions we will make about the star:
• Each cubic centimeter of the star's interior generates 3×10 watts of power.
• Each square centimeter of the star's surface shines 6,000 watts of power into space.
(a) Suppose the star has a radius of about 7 x10° cm. How much power would the interior of the star generate? How much power would the star's surface shine into space?
Which quantity is greater.
(b) Suppose the star has a radius of about 5x10" cm. How much power would the interior of the star generate? How much power would the star's surface shine into space. Which quantity is greater.
(c) Lite on Earth depends on our Sun maintaining equilibrium, neither growing nor shrinking. Likewise, in this conceptual model of the star, it the star is too small, then the number of watts leaving the surface will exceed the number of watts generated in the interior, and the star will cool down. If the star is too large, then the number of watts generated in the interior will exceed the number of watts leaving the surface, and the star will heat up. What is the radius of the star for which the power leaving the surface equals the power generated in the interior?
Power leaving the surface is more than power generated in the volume. The power 1.57079633 * 10³² Watt would the star's surface shine into space which is greater in interior. The radius of the star is 6 * 10¹⁰ cm where the power leaving the surface equals the power generated in the interior
a) Power generated in interior = Volume of star * Power generated per unit cc
= (4/3)π (7 * 10⁸)³
= 4.31026512 * 10²⁰ Watt
Power leaving the surface = Surface area * power leaving per unit surface area
= 4π (7 * 10⁸)² * 6000
= 3.69451296 * 10²²
Here, power leaving the surface is more than power generated in the volume.
b) Power generated in interior
= (4/3)π (5 * 10¹²)³ * 3 * 10⁻⁷
= 1.57079633 * 10³² Watt
Power leaving the surface = Surface area * Power leaving per unit surface area
= 4π(5 * 10¹²)² * 6000
= 1.88495559 * 10³⁰
Hence, 1.57079633 * 10³² power would the star's surface shine into space which is greater in interior.
c) When power generated in volume = Power leaving the surface
= (4/3)πR³ * 3 * 10⁻⁷
= 4πR² * 6000
R = 6000/ 10⁻⁷
= 6 * 10¹⁰ cm
Hence, the radius of the star is 6 * 10¹⁰ cm where the power leaving the surface equals the power generated in the interior.
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Jasmine invests $2,658 in a retirement account with an annual interest rate of 9%
compounded continuously. What will the account balance be after 15 years?
Maria invests $6,154 in a savings account with an annual interest rate of 8% compounded
continuously. What will the account balance be after 10 years?
If $17,000 is invested at a rate of 6.25% per year for 39 years, find the value of the
investment to the nearest penny if the interest is compounded continuously.
If $20,000 is invested at a rate of 6.5% per year compounded continuously, find the value
of the investment at each given time and round to the nearest cent.
(a) 8 months (b) 18 months (c) 21 years (d) 100 years
Joe invests $10,000 in an account that earns 12.3% interest annually. What is the balance
of the account after 8 years?
If principal is $2,658 and rate of interest 9% then the value of the account balance is approximately $10,253 by using continuous compound interest formula.
What is the Continuous Compound Interest ?Recurring interest is interest calculated on principal plus all interest and other interest. The idea is that lenders always receive interest, not individually at specific times.
The formula for continuous compound interest :
A= Peˣⁿ
Where,
A =Amount of money after a certain amount of time
P= principal or the amount of money you start with
e =Napier's number, which is approximately 2.7183
x =Interest rate
n =Amount of time in years.
Use the continuous compound interest formula :
Given P= 2658
x =9% = = 0.09
n = 15
e = 2.7183
By using
A= Peˣⁿ
A= (2658)(2.7183)⁰°⁰⁹¹⁵
A =10,253 (approximately)
Hence, the value of account balance after 15 years is approximately $10,253
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Cameron invests $11000 in two different accounts. The first account paid 14 %, the second account paid 7 % in interest. At the end of the first year he had earned $1120 in interest. How much was in each account?
$ ___ at 14 %
$ ___ at 7 %
Cameron invested $5000 at 14% and $6000 at 7%.
Define interest.Interest is the amount of money that is paid or earned on a sum of money that has been borrowed or invested. It is usually expressed as a percentage of the original amount, and it can be calculated using various formulas depending on the type of interest and the frequency of compounding.
Let's assume that Cameron invested x dollars in the first account, which earns an interest rate of 14%, and y dollars in the second account, which earns an interest rate of 7%.
According to the problem, the total amount invested was $11,000. So, Equation is
x + y = 11000
We also know that at the end of the first year, Cameron had earned $1120 in interest.
The interest earned on the first account can be calculated as 0.14x, and the interest earned on the second account can be calculated as 0.07y.
0.14x + 0.07y = 1120
We now have two equations with two unknowns. Here, we will use substitution:
x = 11000 - y
0.14(11000 - y) + 0.07y = 1120
1540 - 0.14y + 0.07y = 1120
0.07y = 420
y = 6000
Substituting y = 6000 into the equation x + y = 11000, we get:
x + 6000 = 11000
x = 5000
Therefore, Cameron invested $5000 at 14% and $6000 at 7%.
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24=10.5+m/4.5 answer
Answer:
m = 60.75
Step-by-step explanation:
Use the variable c to represent Chau's height.
The equation that represents the mathematical sentence is:
24 + C = 40
How to write the equation?Here we start with a mathematical sentence which says that the sum of 24 and Chau's height is 40.
If we define C as Chau's height, then we need to write "the sum of 24 and C is 40"
That is trivial, is the sum of two things equals other one, and we know all of these, then the equation can be written as:
24 + C = 40
Solving it we get:
C = 40 - 24 = 16
That is Chau's height.
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Please help me! I only need number 5 (the first one).
The probability that the dart will hit the circular board and not land on any of the squares is 7/27.
Explain probability
Probability is a branch of mathematics that deals with the likelihood or chance of an event occurring. It is typically expressed as a number between 0 and 1, where 0 represents impossibility and 1 represents certainty. Probability is used to analyze and make predictions in various fields, including statistics, finance, science, and engineering, and is essential for decision-making and risk management.
According to the given information
The area of the circular board is π(18)² = 324π square inches. The area of each square is (5)² = 25 square inches, so the combined area of the four squares is 4(25) = 100 square inches.
Therefore, the area on the circular board that the dart can land on and not hit any of the squares is 324π - 100. The probability that the dart will land in this area is the ratio of this area to the total area of the circular board, which is:
(324π - 100) / (π(18)²)
= (324π - 100) / 324π
= 1 - 100/324
= 7/27
So the probability that the dart will hit the circular board and not land on any of the squares is 7/27.
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STATS
When a truckload of apples arrives at a packing plant, a random sample of 125 apples are selected and examined for bruises and other defects. In reality, 14% of the apples on a particular truck are bruised or otherwise unsatisfactory.
(a) How many standard errors away from 0.14 would you need to go to contain 89% of the sample proportions of bad apples you might expect to find? (3 decimal places)
Number of Std errors away from 0.12 one need to go = 1.227
What does standard deviation mean?Standard deviation (or σ) is a measure of how far the data are from the mean. A low standard deviation means that the data are clustered around the mean, and a high standard deviation means that the data are more scattered. Standard deviation shows how the data are distributed. This is a measure of how far each observation is from the mean.
The variance is the mean squared deviation from the mean and the standard deviation is the square root of that number. Both measures reflect the variability of the distribution, but in different units. The standard deviation is expressed in the same units as the original value (minutes, meters, etc.).
A. for 89% ; critical z value = 1.227
89% = 0.89
Critical z value = 0.89 × 0.14
= 1.227
Therefore number of Std errors away from 0.12 one need to go = 1.227
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Given CE=8.2 and DF=16.4, find the area of rhombus CDEF. Round your answer to the nearest tenth if necessary.
The area of rhombus CDEF is approximately 90.3 square units.
What is rhombus?
A rhombus is a special type of parallelogram in which all four sides are of equal length. Equivalently, a rhombus is a quadrilateral with four sides of equal length.
We can see that triangle CEF is a right triangle, and we can use the Pythagorean theorem to find the length of CE:
CE² = CF² + EF²
We know that CF = DF/2 = 16.4/2 = 8.2 and that EF = CE/2, so we can rewrite the equation as:
CE² = (8.2)² + (CE/2)²
Expanding and simplifying:
CE² = 67.24 + 0.25CE²
0.75CE² = 67.24
CE² = 89.65
CE ≈ 9.5
Now we can find the length of diagonal DF, which is also equal to 2CE:
DF = 2CE ≈ 19
The area of the rhombus can be calculated as:
Area = (CE × DF) / 2
Area = (9.5 × 19) / 2
Area ≈ 90.3
Therefore, the area of rhombus CDEF is approximately 90.3 square units.
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3. Daniel and his mom are working together to paint his bedroom The paint store is currently offering the following sales Item sale pricematte paint 7.56 4 pints for $7.56 Glossy Paint 2 gallons for $26.16 Paint Brushes 4 for $18 = 4.5 per Brish Calculate the unit rate of these items, and use that information to select all of the following statements that are correct. If necessary, round to the nearest penny. A) Daniel will spend $21.68 on matte paint if he buys 1 y gallons. B)Daniel will spend $19.62 on glossy paint if he buys 6 quarts. c) Daniel's total cost will be $24.12 if he buys 2 paint brushes and 1 gallon of matte paint.Daniel can buy 13 pints of glossy paint for $20.
Answer:
Options B and C
Step-by-step explanation:
First, we have to find out the unit rates
Matte Paint
7.56 ÷ 4
= $1.89 per paint
Glossy Paint
26.16 ÷ 2
= $13.08 per gallon
Paint Brushes
18 ÷ 4
= $4.5 per brush
Now we have to check for each statement.
Option A
If he buys 1 [tex]\frac{1}{2}[/tex] gal on matte paints
1 [tex]\frac{1}{2}[/tex] = 1.5 gal
1.5 × 1.89 = $2.84
So therefor statement A is not true.
Option B
We have to convert quart to gal
1 quart = 0.25 gal
6 quarts = 1.5 gal
1.5 × 13.08 = $19.62
so statement B is true
Option C
They got 2 paintbrushes so we have to mutiply
2 × 4.5=$9
1 gal matte paint
We have to convert gal to pint
1 gal = 8 pint
8 × 1.89 = $15.12
Then we add them
15.12 + 9 = $24.12
Which means statement C is true
Option D
13 pints of glossy paint
$13.08 per gallon
1 gal =8 pint
13 pints = [tex]\frac{13}{8}[/tex] gal
[tex]\frac{13}{8}[/tex] × 13.08 = $21.26
so statement D is not true
That leaves us with Option B and C
I'LL MARK THE BRAINLIEST!!!!!
A zoo randomly sampled four groups of 100 people on what their favorite type of bear is. This data shows the results of the four samples.
The zoo has 3380 visitors one weekend.
Based on the unbiased samples, what is a reasonable estimate of the number of people who will prefer polar bears?
Round your answer to the nearest whole number.
A} 1555 people
B} 1437 people
C} 963 people
D} 777 people
Based on the unbiased samples , 1555 people is the correct response who prefer polar bear
what is an impartial sample?A sample that is sufficiently large and drawn at random qualifies as an unbiased sample. It represents the population, and its outcomes are in line with those of the population1. In contrast, when one or more groups of persons are given preferential screening, a biased sample does not accurately reflect the population.
what is a biased sample?A biassed sample is one that doesn't fairly represent the entire population. It happens when a statistician adopts a sampling technique where some individuals of the target population have a higher or lower probability of being chosen. Because a biased sample does not accurately represent the community, the validity of a study is at risk.
There are 3380 visitors in total. 46%, 32%, 43%, and 49% of respondents in each category said they preferred polar bears.
There are: persons who favor polar bears overall.
(46% + 32% + 43% + 49%) * 3380 / 100 = 1555.08
When we round to the closest whole number, we obtain:
1555 individuals,
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a diver dove to a location 6 3/5 meters below sea level. He then dove to a second location 8 1/5 meters below sea level. How many meters are there between the two locations?
Answer:
[tex]1\frac{3}{5}[/tex] meter is the difference in depths of locations diver dove.
Step-by-step explanation:
The circle below is centered at the point (-3.2, -3.5) and has a radius of length 5.5. Write the equation for the circle.
Equation for the circle is : (x + 3.2)²+ (y + 3.5)²= 30.25
What is equation?An equation is a mathematical statement that uses an equals sign to show that two expressions have the same value. Equations are used to solve problems and find the value of unknown variables.
According to the given information :
The equation for a circle with center (a, b) and radius r is:
(x - a)² + (y - b)² = r²
Substituting the given values, we get:
(x - (-3.2))²+ (y - (-3.5))²= 5.5²
Simplifying and squaring out the brackets, we get:
(x + 3.2)² + (y + 3.5)² = 30.25
Therefore, the equation for the circle with center (-3.2, -3.5) and radius 5.5 is:
(x + 3.2)²+ (y + 3.5)²= 30.25
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The Equation for the circle is : (x + 3.2)²+ (y + 3.5)²= 30.25
What is equation?
An equation is a mathematical statement that uses an equals sign to show that two expressions have the same value. Equations are used to solve problems and find the value of unknown variables.
According to the given information :
The equation for a circle with center (a, b) and radius r is:
=> (x - a)² + (y - b)² = r²
Substituting the given values, we get:
=> (x - (-3.2))²+ (y - (-3.5))²= 5.5²
Simplifying and squaring out the brackets, we get:
(x + 3.2)² + (y + 3.5)² = 30.25
Therefore, the equation for the circle with center (-3.2, -3.5) and radius 5.5 is: (x + 3.2)²+ (y + 3.5)²= 30.25
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find local maximum values.
The local maximum values of the graph is determined as 3, 4, and 5.
What is local maximum values?A local maximum value is a point in the domain of a function where the value of the function is greater than or equal to the values of the function at all neighboring points. In other words, a local maximum is a point where the function reaches a peak, but only in the immediate vicinity of that point.
It's important to note that a local maximum need not be the maximum value of the function over its entire domain. There may be other points in the domain where the function attains higher values.
For the given function, the local maximum values are;
{3, 4, 5}.
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