So Eric's relative error to the nearest thousandth is 0.007 or 0.7%.
Relative error can be calculated using the following formula:
Relative error = (|measured value - actual value|) / actual value
In this case, the actual value is 3 inches, and the measured value is 2.98 inches. So, we can calculate the relative error as follows:
Relative error = (|2.98 - 3|) / 3 = (0.02) / 3 = 0.0067
To find the relative error to the nearest thousandth, we round the result to three decimal places:
Relative error = 0.007
So Eric's relative error to the nearest thousandth is 0.007 or 0.7%.
To learn more about relative error
Visit; brainly.com/question/13784448
#SPJ4
So Eric's relative error to the nearest thousandth is 0.007 or 0.7%.
The relative error can be calculated using the following formula:
Relative error = (measured value - actual value|) / actual value
In this case, the actual value is 3 inches, and the measured value is 2.98 inches. So, we can calculate the relative error as follows:
Relative error = (|2.98 - 3|) / 3 = (0.02) / 3 = 0.0067
To find the relative error to the nearest thousandth, we round the result to three decimal places:
Relative error = 0.007
So Eric's relative error to the nearest thousandth is 0.007 or 0.7%.
To learn more about relative error Visit;
brainly.com/question/13784448
#SPJ4
John Myers had $49,000 in taxable income. He figured his tax from the tax schedule:
1. Found his earned income level.
2. Entered the base amount = $4,386
3. Found the amount over $31. 850 =
4. Multiplied line 3 by 25% =
5. Added Lines 2 and 4 =
A. 4,287. 5
B. 17,150. 00
C. 11,411. 00
D. 281,000. 00
E. 8,673. 5
F. 7,025. 00
Myers' taxable income of $49,000 was located on the tax schedule. He then added the base amount of $4,386 to the amount over $31,850 multiplied by 25%, totaling $8,673.50 in taxes.
To figure out the taxes due on Myers' taxable income of $49,000, he first located his earned income level on the tax schedule. The base amount was then calculated by entering the base amount of $4,386. Next, he found the amount over $31,850 and multiplied it by 25%, which was $7,025.00. Finally, he added the base amount and the multiplied amount over 31,850 together to get a total of $8,673.50 in taxes due. Therefore, Myers' taxable income of $49,000 was located on the tax schedule. He then added the base amount of $4,386 to the amount over $31,850 multiplied by 25%, totaling $8,673.50 in taxes.
Learn more about amount here
https://brainly.com/question/8082054
#SPJ4
suppose z = x iy, where x and y are real. write the following complex numbers in the cartesian form a ib, where a and b are real: (a1) z ¯z 1 ¯z ,
The points (x,y) lies in a straight line.
An unending, one-dimensional figure with no breadth is a straight line. It consists of an infinite number of points connected on either side of a point. There is no curvature in a straight line. It might be angled, vertical, or horizontal.
Any angle we draw between any two locations along a straight line will always be a 180-degree angle. A straight line is an infinite-length line that does not have any curves on it. A straight line can be formed between two points also but both ends extend to infinity.
Given that,
z=x+iy
i = √-1
For real, imaginary part =0
⇒x+y=1
Thus, The points (x,y) lies in a straight line.
To know more about lines visit: brainly.com/question/17731558
#SPJ4
Please help me with this math problem
a) The experimental probability of both choosing a ball that is odd and drawing a car that is either a K or J is given as follows: 29/60.
b) The theoretical probability of both choosing a ball that is odd and drawing a car that is either a K or J is given as follows: 4/9.
c) With a small number of trials, it is not surprising when the experimental probability is much greater than the theoretical probability.
How to calculate a probability?A probability is calculated via the division of the number of desired outcomes by the number of total outcomes.
An experimental probability, as the name says, is calculated considering previous experiments.
Out of 60 outcomes, the desired outcomes and their absolute frequencies are given as follows:
1K -> odd and K -> 8.3K -> odd and K -> 4.1J -> odd and J -> 10.3J -> odd and J -> 7.Hence the experimental probability is obtained as follows:
(8 + 4 + 10 + 7)/60 = 29/60.
For the theoretical probability, we have that:
2 out of 3 letter are K and J.2 out of 3 numbers are odd.Hence it is given as follows:
p = 2/3 x 2/3
p = 4/9.
For a small number of trials, there usually are differences between the experimental and the theoretical probabilities, but these probabilities get closer as the number of trials increase.
More can be learned about probabilities at https://brainly.com/question/24756209
#SPJ1
Suppose h is a function such that h(1)=−9,h′(1)=4,h′′(1)=6,h(6)=3,h′(6)=−15,h′′(6)=19,. and h′′ is continuous everywhere. Then. 6. ∫h′′(u)du= 1
For the given function, the value using limits is ∫h′′(u)du = 127/6 = 21.17
What is the limit?A limit in mathematics is the value that a function gets closer to when the input gets closer to a certain value. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.
A function's second derivative is a measure of how quickly its first derivative, or acceleration, changes over time. If h′ is differentiable and has a continuous rate of change, then h′′ is continuous. The derivative of an integral is equal to the integrand according to the calculus fundamental theorem. Therefore, h′(u) equals h′′(u)du plus C, where C is a free constant.
To determine C, we can use the given values of h′(1) and h′(6). We have h′(1) = ∫h′′(u)du + C and h′(6) = ∫h′′(u)du + C. Subtracting the two equations yields
h′(6) − h′(1) = ∫h′′(u)du + C − ∫h′′(u)du − C = 0
And, since h′(6) − h′(1) = −15 − 4 = −19, we have −19 = 0, which means that C = −19. Hence, h′(u) = ∫h′′(u)du − 19.
Finally, to determine the integral of h′′, we can integrate both sides of this equation with respect to u:
h(u) = ∫h′(u)du = ∫(∫h′′(u)du − 19)du = ∫h′′(u)du * u - 19 * u + C
To determine C, we can use the given values of h(1) and h(6). We have h(1) = ∫h′′(u)du * 1 - 19 * 1 + C and h(6) = ∫h′′(u)du * 6 - 19 * 6 + C. Subtracting the two equations yields
h(6) − h(1) = ∫h′′(u)du * 6 - 19 * 6 + C − ∫h′′(u)du * 1 - 19 * 1 + C = 3 + 9 - (-9 - 114) = 127
Hence, ∫h′′(u)du = 127/6 = 21.17
To learn more about limit, visit
brainly.com/question/282767
#SPJ4
a fair coin is tossed 14 times. what is the probability that exactly 3 heads occur?
If a fair coin is tossed 14 times then the probability that exactly three head occur is 0.023 .
The Binomial Probability formula is used to find the Probability of getting exactly 3 heads in 14 tosses of a fair coin .
The formula is:
⇒ P(X=k) = ⁿCₓ × pˣ × (1-p)ⁿ⁻ˣ ;
where,
⇒ P(X=k) is the probability of getting exactly "x" heads in n tosses of coin ;
⇒ n (number of tosses) = 14
⇒ k (number of heads) = 3
⇒ p (probability of getting heads in a single toss) = 0.5 for a fair coin
Substituting in the values, we get:
⇒ P(X = 3) = ¹⁴C₃ * (0.5)³ * (1 - 0.5)¹¹
⇒ P(X = 3) = ¹⁴C₃ * (0.5)³ * (0.5)¹¹
On simplifying further ,
we get ;
⇒ 0.02221679 ≈ 0.023 .
Therefore , the probability of getting exactly 3 heads 0.023 .
Learn more about Probability here
https://brainly.com/question/17220236
#SPJ4
Does a school has provided a teacher with a budget to purchase math notebooks hacker rank solution?
A teacher may receive funding from the school to buy arithmetic amount notebooks for the pupils in their class. Materials like notebooks, pens, calculators, and other essential items can be purchased with this money.
A teacher may receive funding from the school to buy arithmetic notebooks for the pupils in their class. Materials like notebooks, pens, calculators, and other essential items can be purchased with this money. It is crucial to provide each student with enough math notebooks so that they have enough supplies to work with. These notebooks can be used by the students to keep track of key information, practise equations and other mathematical ideas, and stay organised and study-focused. To make sure that kids have the resources they need to excel in the classroom, provide the instructor a budget to buy math notebooks.
Learn more about amount here
https://brainly.com/question/28970975
#SPJ4
8 people go on a boat trip in two boats, one of which can accommodate 4 and the other 6 people. in how many different ways can 8 people distribute themselves between the two boats?
Answer:
3 ways
Step-by-step explanation:
Let us take boat A and Boat B
Boat A - 6 people
Boat B - 4 people
1st way - In Boat A 4 people and in Boat B 4 people
2nd way - In Boat A 5 people and in Boat B 3 people
3rd way - In Boat A 6 people and in Boat B 2 people
What are the missing reasons in the proof?
Given: ABCD with diagonal BD
Prove: ABD = CDB
Statements
1. AD || BC
2. ADB=CBD
3. AB || CD
4. ABD=CDB
5. DB=DB
6. ABD=CDB
Reasons
1. Definition of parallelogram
2. Alternate Interior Angles Theorem
3.
4.
5.
6.
All the missing reasons are given below.
What do you mean by parallelogram?A parallelogram is a two-dimensional shape with four sides and opposite sides that are parallel and equal in length. It can be defined as a quadrilateral with two pairs of parallel sides. In other words, opposite sides of a parallelogram are parallel and equal in length. The opposite angles of a parallelogram are equal and its diagonals bisect each other. A rectangle and a rhombus are both examples of parallelograms. The properties of parallelograms are important in geometry, trigonometry, and linear algebra.
The missing reasons for steps 3 and 4 are:
Definition of parallelogram (AB || CD and AD || BC implies that ABCD is a parallelogram)Converse of the alternate interior angles theorem (if a quadrilateral is a parallelogram, then its opposite sides are congruent)So the complete proof would be:
Given: ABCD with diagonal BD
Prove: ABD = CDB
Statements:
AD || BCADB=CBDAB || CDABD=CDBDB=DBABD=CDBReasons:
Definition of parallelogramAlternate interior angles theoremDefinition of parallelogram (AB || CD and AD || BC implies that ABCD is a parallelogram)Converse of the alternate interior angles theorem (if a quadrilateral is a parallelogram, then its opposite sides are congruent)Reflexive property of equalityTransitive property of equality (ABD=CDB and CDB=DB imply that ABD=DB)To know more about angles visit:
https://brainly.com/question/11990585
#SPJ1
In a survey of youths, it was found that 85% like to do farming in their village, 60% like to go for foreign employment.If 5% of them did not like both of them then,
1)Show that above information in a Venn diagram.
2)What percent of use who like to do farming in their village only?
3) What percent of youths like foreign employment only?
4) What percent of you like both of the jobs?
On solving the provided question, we can say that by percentage the proportion of pupils who participate in either cricket or volleyball.
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions.
In a study conducted at a school, 300 students preferred volleyball, 250 preferred cricket, and 110 preferred playing both sports. Calculate the following using a Venn diagram: a. the number of pupils who play cricket exclusively.
b. the proportion of pupils who participate in either cricket or volleyball.
After their SEE, a survey found that 120 students desired to be both an engineer and a doctor, while 190 students wanted to be both. Draw a Venn-diagram and count the number of students who said they wanted to be neither of them if 300 students were surveyed.
To know more about percentage visit:
https://brainly.com/question/28269290
#SPJ1
Four friends are in a marathon. After 3 hours, each friend has completed a different portion of the race.
Therefore , the solution of the given problem of ratio comes out to be greatest portion of race covered is by Deangelo which is 0.72.
It establishes a ratio.The simple formula "a / b" can be used to create a pair of similar variables "a" and "b," where "b" may also be greater than zero. One ratio is created by combining two ratios. If there were only one man and three women, the ratio would be 1:1. There are 1/4 boys and 3/4 girls in the group. A separation between a or more objects, a numeral, or a piece of a component's volume are all examples of parts.
Here,
Given :
=> Aljendaro is 65%
=> Beth is 3/5
=> Christina is 0.7
=> Deangelo is 18/25
the greatest portion of the race covered is :
=> 65/100 = 0.65
=> 3/5 = 0.6
=> 0.7
=> 18/25 = 0.72
The greatest portion of race covered is by Deangelo which is 0.72.
Therefore , the solution of the given problem of ratio comes out to be greatest portion of race covered is by Deangelo which is 0.72.
To know more about ratio visit:
brainly.com/question/13419413
#SPJ1
The complete question is " Four friends are in a marathon. After 3 hours, each friend has completed a different portion of the race.
Given:
Aljendaro is 65%
Beth is 3/5
Christina is 0.7
Deangelo is 18/25 "
Question 5(Multiple Choice Worth 2 points)
(Translating Algebraic Inequalities MC)
Wyatt had to climb the stairs to ride the waterslide. The top of the waterslide was more than 56 feet from the ground. Which graph represents this inequalit
O
50
50
50
50
51
51
52
52
52
52
53
53
53
53
54
54
54
54
55
55
55
55
56
08
56
57
57
57
57
58
58
58
58
59
59
59
59
60
60
60
61
61
45
45
62
62
62
62
The graph representing the inequality x ≥ 12 is with a closed and shaded circle to the left.
What is inequality ?
An inequality is an expression that shows the non-equal comparison of the two or more numbers and variables. A number line can be used to represent numbers put on regular intervals. A number line is sometimes used to represent an inequality.
The height of the water slide is = 56 feet
The graph representing the inequality x ≥ 12 is shown on the number line begining from 12 with a closed and shaded circle.
Therefore, The graph representing the inequality x ≥ 12 is with a closed and shaded circle to the left.
To learn more about inequalities from given link
brainly.com/question/17675534
#SPJ1
Find the surface area and volume of the prism.
The surface area of the prism is _________ cm2.
The volume of the prism is __________ cm3.
The surface area of the prism is 456cm² and the volume is 408cm³
What is a prism?A prism is a solid shape that is bound on all its sides by plane faces. There are two types of faces in a prism. The top and bottom faces are identical and are called bases. A prism is named after the shape of these bases. For example, if a prism has a triangular base it is called a triangular prism.
The formula for the surface area of a prism is SA=2B+ph, where B, again, stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism.
Base area = 1/2× 8× 6
= 4×6 = 24 cm²
perimeter of the base = 6+8+10 = 24cm²
therefore SA = 2(24)+24×17
= 48+408
= 456cm²
Volume of the prism = base area × height
= 24 × 17
= 408cm³
learn more about prism from
https://brainly.com/question/23963432
#SPJ1
assign ballradius with ballheight divided by 2.0. do not use the fraction 1.0 / 2.0; instead, divide ballheight directly by 2.0.
The C++ or Python code for the given problem is float ballRadius = ballHeight / 2.0;
To assign the value of ballRadius with ballHeight divided by 2.0, you can write the following code in a programming language such as C++ or Python:
float ballRadius;
float ballHeight = [some value];
ballRadius = ballHeight / 2.0;
This code uses the division operator (/) to divide ballHeight by 2.0, which results in a floating-point value. This value is then assigned to the variable ballRadius. By dividing ballHeight directly by 2.0, we are not using the fraction 1.0 / 2.0.
In detail, the operation ballHeight / 2.0 performs floating-point division, which means that the result will be a floating-point value with decimal places. The value of ballHeight is divided by 2.0, which is a floating-point constant. The result of this division is assigned to the variable ballRadius, which is also a floating-point value.
To know more about programming language, here
https://brainly.com/question/22695184
#SPJ4
Exponential functions in real life situation
Answer:
ANSWER IS-EXPONENTIAL IS LIFE BASED FUNCTION√Step-by-step explanation:
consider the system of equations 2x −5y =1 4x −10y =3 how many solutions does this system have? explain.
Solutions for the system of equations 2x −5y =1 , 4x −10y =3 has no solution as ( 2 /4 ) = (-5/-10) ≠ (1/3) .
Simplify the system of equations to get the solution of the system :
2x - 5y = 1
⇒ 2x = 1 + 5y
⇒ x = ( 1+ 5y ) / 2 __(1)
4x -10y = 3
⇒ 2 ( 2x - 5y ) = 3
⇒2x - 5y = 3/2 ___(2)
Standard form of the system of equations are :
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Substitute the value of x from (1) into (2) we get,
2 ( 1 + 5y )/2 - 5y = 3/2
⇒1 + 5y -5y = 3/2
⇒1 = 3/2
⇒2 = 3 which is not true.
System of the equation has no solution.
Here, ( a₁ /a₂ ) = (b₁ /b₂) ≠ (c₁ /c₂ ) that is ( 2 /4 ) = (-5/-10) ≠ (1/3) .
Therefore, the system of equations has no solution.
Learn more about system of equations here
brainly.com/question/12895249
#SPJ4
1. Given two systems of equations, determine if they have the same solution.
System A System B
−12x+9y=7 −12x+9y=7
9x−12y=6 −9x+5y=9
a.Yes, they have the same solution because the second equation in system B is obtained by multiplying the second equation in system A by 1/3
and subtracting from the first equation in system A.
b.Yes, they have the same solution because the second equation in system B is obtained by multiplying the second equation in system A by 1/3 and adding to the first equation in system A.
c.Yes, they have the same solution because the second equation in system B is obtained by multiplying the second equation in system A by 3
and adding to the first equation in system A.
d. No, they don't have the same solution.
2. What number must you multiply the second equation by so that the sum of the x-coefficients is zero?
7x−y=55
x+3y=33
A.-1/3
B. 1/3
C.-7
D.7
3. Which system of linear equations will yield the same solution as the system below?
x−y=3
2x−3y=−1
A. 2x−2y=−6
2x−3y=−1
B.2x−2y=6
2x−3y=−1
C.−2x+2y=3
2x−3y=−1
D.3x+3y=9
2x−3y=−1
4. A system of equations is shown below.
Equation A: 5x+9y=12
Equation B: 4x−3y=8
Which method eliminates one of the variables?
A. Multiply equation A by 4/5 and add the result to equation B.
B. Multiply equation B by 3 and add the result to equation A.
C. Multiply equation A by −1/3, and add the result to equation B.
D. Multiply equation B by 5/4, and add the result to equation A.
The solution to the equations are given below.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
1. System A System B
−12x+9y=7 −12x+9y=7
9x−12y=6 −9x+5y=9
Solving system A
x= -46/21 and y= -15/7
and, solving system B
x= -46/21 and y= -15/7
We can say that
Yes, they have the same solution because the second equation in system B is obtained by multiplying the second equation in system A by 1/3 and adding to the first equation in system A.
2. -7 should be multiply the second equation by so that the sum of the x-coefficients is zero.
3. x−y=3
2x−3y=−1
Solving the above equation gives
x= 10 and y= 7.
The equation yields the same solution as above is
2x−2y=6
2x−3y=−1
4. Equation A: 5x+9y=12
Equation B: 4x−3y=8
Now, solving both equations we can proceed as Multiply equation B by 3 and add the result to equation A.
Learn more about Equation here:
https://brainly.com/question/29657983
#SPJ1
Answer:
To determine which system of equations would have the same solution, we evaluate each system of equations.
System 1 4x − 5y = 2, 3x − y = 8
x = 38/11
y = 26/11
System 2 4x − 5y = 2, 3x − 2y = 1
x = 1/7
y = -2/7
System 3 4x − 5y = 2, 3x − 8y = 4
x = -4/17
y = -10/17
System 4 4x − 5y = 2, 10x − 9y = 4
x = 1/7
y = -2/7
Therefore, the correct answer is option 3. System 2 and system 4 are equal, because the second equation in system 4 is obtained by adding the first equation in system 2 to two times the second equation in system 2.
4x− 5y = 2 2( 3x − 2y = 1)
----------------------- 10x - 9y = 4
Step-by-step explanation:
Give me a brainilest please...
from largest to smallest, the correct order is:group of answer choicessample, sampling frame, population.
Population - - > Sampling Frame - - > Sample - - > Individual being surveyed is the order from largest to smallest.
The population is the largest as they include all units or subject of interest in a particular study or experiment.
Next is the sampling frame which is the list or compilation of all subjects which can form part of a sample. It is a compilation of all elements in the population from which the sample can be drawn.
The sample is a subset of the population of population, usually selected at random and it is representative of the population.
The individual surveyed represents a single subject or observation from the chosen sample.
To know more about the sample and population:
https://brainly.com/question/24231564
#SPJ4
what does it mean when a radical does not have an index? is the expression equal to the radicand? explain.
The expression is not equal to the radicand.
What is Radical Index?
The root symbol nx. is known as a radical, and it is thus read "x radical n," or "the nth root of x." The horizontal line in the radical sign is known as the vinculum, the quantity under the vinculum is known as the radicand, and the quantity n written to the left is known as the index.
The radical is defined by the expression
[tex]\sqrt[n]{a}[/tex]
where a is radicand and n is index.
The index value of square roots is two. When there is no index provided for a radical, it is presumed to be an index of two, or a square root.
[tex]a^{1/2}[/tex] =[tex]\sqrt{a}[/tex]
Thus, the expression is not equal to the radicand.
To learn more about Radicand visit:
brainly.com/question/14963020
#SPJ4
The expression is not equal to the radicand.
What is Radical Index?
The root symbol nx. is known as a radical, and it is thus read "x radical n," or "the nth root of x." The horizontal line in the radical sign is known as the vinculum, the quantity under the vinculum is known as the radicand, and the quantity n written to the left is known as the index.
The radical is defined by the expression
where a is radicand and n is an index.
The index value of square roots is two. When there is no index provided for a radical, it is presumed to be an index of two or a square root.
= a^(1/2)
Thus, the expression is not equal to the radicand.
To learn more about Radicand visit:
brainly.com/question/14963020
#SPJ4
Special Right triangles Quiz
1. What is the value of w? ( see picture 1 for details)
2. What are the angle measures of the triangle? ( see picture 2 for details)
3. What is the value of p? ( see picture 3 for details)
4. See picture 4 for question and answer
5. see picture 5 for the question and answer
Picture 1: w = 14 units
Picture 2: The angles are 30°, 60° and 90°
Picture 3: p = 22√2 units
Picture 4: The distance is 42 ft
Picture 5: The perimeter of the equilateral triangle is 30√3 m
How to find the value of w in the triangle?
Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles
Picture 1
cos 30° = 7√3 / w
w cos 30° = 7√3
w = 7√3 /(cos 30°)
w = 14 units
Picture 2
We have a right angle there already i.e. 90°. Let the two unknown angles be x and y.
sin x = (7√3) /(14√3)
sin x = 1/2
x = arcsin (1/2)
x = 30°
y = 90 - 30 = 60°
Thus, the angles are 30°, 60° and 90°
Picture 3
sin 45° = p/44
p = 44 * sin 45°
p = 44 * (√2)/2
p = 22√2 units
Picture 4
The distance from corner to corner is the length of the diagonal of the square.
Distance = √(30² + 30²) = 42 ft (Pythagoras' theorem)
Picture 5
The perimeter of the equilateral triangle is the sum of all three sides.
Let's find the side x:
sin 60° = 15/x
x = 15/sin 60°
x = 10√3 m
perimeter = 3x = 3 * 10√3 = 30√3 m
Learn more about trigonometry on:
brainly.com/question/29354606
#SPJ1
What conditions must be met for the results of an ANOVA test to be reliable?
The conditions that must be met for the results of an ANOVA test to be reliable are Independence , Random Sampling , Large Sample Size and Normality .
The ANOVA (Analysis of Variance) is defined as a statistical method that is used to determine if there are significant differences among the means of two or more groups.
For the results of an ANOVA test to be reliable, the conditions that must be met are :
(i) Independence: The observations within each group should be independent of each other.
(ii) Normality: The data within each group should be approximately normally distributed.
(iii) Random Sampling: The samples within each group should be selected randomly from the population.
(iv) Large Sample Size: The sample size within each group should be large enough to provide a robust estimate of the population mean.
Learn more about ANOVA here
https://brainly.com/question/24157862
#SPJ4
chase and emily are buying stools for their patio. they are deciding between 3 33 heights (table height, bar height, and xl height) and 3 33 colors (brown, white, and black). they each created a display to represent the sample space of randomly picking a height and a color. whose display correctly represents the sample space? choose 1 answer: choose 1 answer: (choice a) a chase only (choice b) b emily only (choice c) c both (choice d) d neither chase's display: height color table height brown table height brown table height white bar height white bar height black bar height black xl height white xl height black xl height black emily's display:
The display that correctly represents the sample space is an option(d) neither.
To determine this:
While both Chase and Emily have attempted to represent the sample space, neither of their displays accurately represents the sample space by randomly picking a height and color for the stools.
In Chase's display, he has repeated the same height and color combination multiple times, which is not correct as each combination should only appear once in the sample space.
In Emily's display, she has not explicitly listed all the possible height and color combinations. She has only listed 3 heights and 3 colors, but there are 9 possible combinations of height and color that should be included in the sample space.
The correct representation of the sample space would be a list of all 9 possible combinations, such as:
table height browntable height whitetable height blackbar height brownbar height whitebar height blackxl height brownxl height whitexl height blackTo learn more about the combinations, visit:
brainly.com/question/20211959
#SPJ4
The display that correctly represents the sample space is an option(d) neither.
To determine this:
While both Chase and Emily have attempted to represent the sample space, neither of their displays accurately represents the sample space by randomly picking a height and color for the stools.
In Chase's display, he has repeated the same height and color combination multiple times, which is not correct as each combination should only appear once in the sample space.
In Emily's display, she has not explicitly listed all the possible height and color combinations. She has only listed 3 heights and 3 colors, but there are 9 possible combinations of height and color that should be included in the sample space.
The correct representation of the sample space would be a list of all 9 possible combinations, such as:
table height browntable height whitetable height blackbar height brownbar height whitebar height blackxl height brownxl height whitexl height blackTo learn more about Combinations
brainly.com/question/20211959
#SPJ4
The lateral height of a cone is 8 inches and the area of the base of the cone is 49π in². It requires 2.5 minutes to paint the cone.
The area of the base is doubled.
How long will it take to paint this cone if it can be painted at the same rate? Use π≈3.14.
Enter your answer, rounded to the nearest tenth, in the box.
min
It will take the painter a total of 5 minutes to paint this cone
How long will it take to paint this cone ?Since the area of the base of the cone is doubled,
the new base area = 2 * 49π in² = 98π in².
The radius of the original cone can be found by using the formula for the area of a circle:
49π = πr^2
r = 7 in
The height of the new cone can be calculated using the same lateral height as the original cone:
h = 8 in
Using the formula for the volume of a cone, we can calculate the volume of the new cone:
V = (1/3)πr^2h = (1/3)π(7^2)(8) = (1/3)π(392)
The surface area of the original cone can be found using:
A = πr^2 + πrs
where s is the slant height of the cone.
s = √(r^2 + h^2) = √(7^2 + 8^2) = √(49 + 64) = √(113)
So, we have
A = πr^2 + πrs = π(7^2) + π(7)(√(113)) = 49π + 7π(√(113))
The surface area of the new cone can be found using the same formula:
A = πr^2 + πrs = π(7^2 * 2^2) + π(7 * 2)(√(113)) = 98π + 14π(√(113))
When the equations are compared, we have
2 * (49π + 7π(√(113))) = 98π + 14π(√(113))
i.e. the new cone has twice the surface area of the original cone
It will take 2.5 * 2 = 5 minutes to paint this cone.
Read more about surface area at
brainly.com/question/15990299
#SPJ1
How much time do executives spend each day reading and sending e-mail. A survey was conducted by Accountemps (reported in USA Today, March 12, 2001). The responses (in minutes) were recorded. Can we infer from these data that the mean amount of time spent by all executives reading and sending e-mail daily differs from 60 minutes?
The survey data collected by Account employees provides valuable insight into the amount of time executives spend on e-mails.
A survey was conducted by Account employees in 2001 to determine the amount of time executives spend each day reading and sending e-mails.
The results were recorded in minutes and analyzed to determine if the mean amount of time spent by all executives reading and sending e-mail daily differs from 60 minutes.
The survey data collected from the executives can be used to calculate the mean and standard deviation of the time spent on e-mails.
If the mean is significantly different from 60 minutes, it would suggest that the executives on average spend more or less time on e-mails compared to 60 minutes.
By conducting a statistical test, we can determine if the mean is significantly different from 60 minutes and make inferences about the e-mail habits of executives.
To know more about survey here.
https://brainly.com/question/13532910
#SPJ4
Convert the following quadratic to vertex form:
2(x-4) (x - 2)
y =
=
Oy=2x²-12x+16
Oy=2(x-3)²-2
Oy=2(x-3)²-1
Oy=2(x²-6x+8)
Answer: The given expression is already in the vertex form:
y = 2(x-3)² - 1
It is the standard form of a parabolic equation with the vertex at (3, -1) and opens upwards.
Step-by-step explanation:
Answer:
[tex]y=2(x-3)^2-2[/tex]
Step-by-step explanation:
[tex]y=2(x-4)(x-2)\\y=2(x^2-6x+8)\\y+2(1)=2(x^2-6x+8+1)\\y+2=2(x^2-6x+9)\\y+2=2(x-3)^2\\y=2(x-3)^2-2[/tex]
fill in the table using the graph
a) The correct values is,
At x = - 1; y = 5
At x = 1; y = - 3
At x = 2; y = - 4
At x = 4; y = 0
b) The correct graph of equation y = x² - 4x is shown in graph by green curve.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
a) Complete table is find as;
The equation is,
⇒ y = x² - 4x
Hence, We get;
At x = - 1;
⇒ y = x² - 4x
⇒ y = (-1)² - 4 × - 1
⇒ y = 1 + 4
⇒ y = 5
At x = 1;
⇒ y = x² - 4x
⇒ y = (1)² - 4 × 1
⇒ y = 1 - 4
⇒ y = - 3
At x = 2;
⇒ y = x² - 4x
⇒ y = (2)² - 4 × 2
⇒ y = 4 - 8
⇒ y = - 4
At x = 4;
⇒ y = x² - 4x
⇒ y = (4)² - 4 × 4
⇒ y = 16 - 16
⇒ y = 0
b) The equation is,
⇒ y = x² - 4x
At x = 0;
⇒ y = 0
Hence, The correct graph of equation y = x² - 4x is shown in graph by green curve.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
ALGEBRA II
Find the angle measured to the nearest degree
The measure of the angle X for the trigonometric ratio of sine X equal to 0.7547 is 49° to the nearest degree.
What are trigonometric ratiosThe trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
For the sine of X equal to 0.7547, we can make x the subject by finding the sine inverse of 0.7547 as follows:
sin X = 0.7547
X = sin⁻¹(0.7547)
X = 48.9992
Therefore, the measure of the angle X for the trigonometric ratio of sine X equal to 0.7547 is 49° to the nearest degree.
Know more about trigonometric ratio here:https://brainly.com/question/23130410
#SPJ1
in wage data the correlations between lwage and the three variables education, experience and job tenure (all measured in years) are respectively 0.4, 0.1 and 0.3. which regression will have the highest r squared?
In wage data the correlations between lwage and the three variables education, experience and job tenure (all measured in years) are respectively 0.4, 0.1 and 0.3. So, Regression of lwage on education will have the highest R squared.
R squared is the square of the correlation so the pair that have the highest correlation will also have the highest R squared in a regression involving the two variables.
Definition of RegressionRegression is a statistical method used to estimate the relationship between a dependent variable and one or more independent variables. This method can also be used to assess the strength of the relationship between variables with future predictions.
Regression analysis includes several variations, namely linear, multiple linear, and nonlinear. The most common models are linear and multiple linear. Meanwhile, nonlinearity is usually used for more complex data groups - because the relationships between variables are not consistent.
Regression analysis can be applied to a variety of disciplines, including finance, investing, and marketing.
Learn more about regression at
https://brainly.com/question/14313391.
#SPJ4
write a in the form without finding t and n.
tangential acceleration a in the form without finding t and n is |a|= T+ t N
The tangential acceleration is a measure of the rate of change in the magnitude of the velocity vector, i.e. speed, and the normal acceleration are a measure of the rate of change of the direction of the velocity vector.
r(t)=(cost+ t sin t )i +( sin t−t cost)j
first find the particle's velocity.
[tex]v=dr/dt\\=(−sint+sint+tcost)i^+(cost−cost+tsint)j^\\\\ \\=(tcost)i^+(tsint)j^[/tex]
find the speed.
|v|=[tex]\sqrt{t^{2} cos^{2}t+ t^{2} sin^{2}t }[/tex]
= √t^2
=t
When t>0 , |t| simply becomes t .
We know that a T= [tex]\frac{d}{dt}[/tex]|v|
, which we can use to find that [tex]\frac{d}{dt}[/tex](t)=1
Now that we know a T , we can use it to find a N
a=(cost−t sin t ) i+(sin t +t cos t)j
|a|^2=t^2+1
a N=√(t^2+1) -1
= t
By substituting this back into the original definition, we find that
|a|=(1)T+(t)N=T+ t N
a in the form without finding t and n is |a|= T+ t N
To know more about tangential acceleration visit brainly.com/question/14993737
#SPJ4
Can someone PLEASE help me? I don’t understand. Could you please show work?
Answer:
Step-by-step explanation:
Angle ABD plus angle DBC = 90. That's what that little square in the corner there means...a right angle which is 90 degrees. Using substitution,
3x + 15 + 2x = 90 and
5x + 15 = 90 and
5x = 75 so
x = 15. Now we need to plug in 15 for x in 2x to get 2(15) which is 30. Second choice down.
Cheese burgers= x
Hamburgers= y
y-x= 62
x+y = 588
add both equations
2y=650
y=650/2
y= 325 ---------- hamburgers
cheese burgers
The total number of Cheeseburgers will be 263.
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
Cheese burgers= x
Hamburgers= y
y-x= 62
x+y = 588
we add both the equations we get 2y = 650
y=650/2
y= 325
x = 588-325= 263
Hence, The total number of Cheeseburgers will be 263.
Learn more about equations, by the following link
brainly.com/question/2972832
#SPJ1