An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?
35.5%
3.33%
3.23%
37.2%
Answers
Answer: 3.33% (choice B)
===================================================
Work Shown:
A = true value = 60
B = estimated or measured value = 62
C = percent error
C = ( |A-B|/A ) * 100%
C = ( |60-62|/60 ) * 100%
C = (2/60)*100%
C = 0.0333*100%
C = 3.33%
The result is approximate.
Related Questions
A trapezoid has an area given by A =1-2(b1+b2)h,where b1,is the length of one base, b2 is the length of the other
base, and h is the height. If the trapezoid has an area of 14 square units, solve for b in terms of the other variables.
Answers
Answer:
b1 = (28/h) -b2
Step-by-step explanation:
Filling in the given value for A, you have ...
14 = (1/2)(b1 +b2)h
Multiply by 2/h:
28/h = b1 +b2
Subtract b2:
b1 = (28/h) -b2
Is the range a subset or a proper subset of the codomain?
Answers
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
What is a subset?A set that includes all or a portion of another set's elements is known as a subset. For instance, because every even integer is also an integer, the set of even integers is a subset of the set of integers. A subset that contains some, but not all, of the members of another set is said to be a proper subset. Because it contains some, but not all, of the positive integers, the set of positive integers less than 10 is a valid subset of the set of positive integers.
A function's codomain is a subset of its range. Although it is not a true subset, it is conceivable for the range to be equal to the codomain, in which case it is also a subset of the codomain.
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pleas help ill give 30 points
Answers
Answer:
The answer is A:20
Also this question isn't 30 points is 5, :p
You can give the other person brainliest
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation. Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths. What is OB'? 1.5 units 3 units 4.5 units 6 units
Answers
If the length of OB was ³/₄, then the length of OB' after dilation is; Option B: 3 units.
Dilation of an object simply means enlarging or shrinking of the object by a scale factor.Now, we are told that Triangle ABC was dilated to Triangle A'B'C' using the rule D₀,₄.What this means is that it was enlarged by a scale factor of 4 with point O as the center of dilation.
Now, if the length of OB is 3/4, it means that the new dilated length is gotten from;Scale factor = new dilated length OB'/(³/₄)
new dilated length OB' = ³/₄ × 4
new dilated length OB' = 3 units
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Answer:
its 4 units trust just answered it
Step-by-step explanation:
13. Determine if the following statement is true or false. Explain your reasoning.
The graph of a non-vertical straight line is always a function, but the graph
of a function is not always a straight line.
Answers
The evaluation of the statements with regards to the graph of a function are;
The graph of non-vertical straight line is always a function, but the graph of a function is not always a straight line is true.What is a function?A function maps an input value to an output based on a definition or rule.
First part of the statement;
The graph of a non-vertical straight line has a range of values for the slope, m, of 0 ≤ m < ∞
The equation of a straight line function is of the form; y = m·x + c
Therefore;
The graph of a non-vertical straight line can be represented by the equation, y = m·x + c, where y has possible values of; -∞ < y < ∞, which indicates that as x increases or decreases, y increases (or decreases), such that each value of x maps unto only one value of y, which indicates that the graph is a function. The statement is therefore true.
Second part of the statement.
The graph of the quadratic function; y = a·x² + b·x + c has a shape of a parabola, therefore, the statement, the graph of a function is not always a straight line is true also.
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4 +2y+m how many terms?
Answers
Answer:
2
Step-by-step explanation:
The equation has 2 terms in it which means 2 is the answer.
Give the first two solutions of the n-Queens problem for n = 6 Write it in the form (1,2), (2,2), (3,2)
Answers
Answer:
(1,2), (2,4), (3,6), (4,1), ( 5,3), (6,5)
Step-by-step explanation:
Given the first two solutions of the n-Queens problem for n = 6
The solution requires that no two queens share the same row, column, or diagonal and each variable lies in the domain [1,6] (6 rows).while finding a solution we must ensure that no two queens are not placed on the same row and in the same diagonal
hence the first two solutions can be expressed as :
(1,2), (2,4), (3,6),(4,1),( 5,3), (6,5)
2
A radio station had 87 tickets to a concert. They gave away 2 times as many tickets to listeners as to employees. How many tickets
did they give away to employees?
OA. 29
ОВ.
31
OC.
2
OD
3
Reset
Submit
Answers
Plz help asap I’ll give you 100 points
Answers
Answer:
P = 8x² + 12y unitsStep-by-step explanation:
Given sides of rectangle:
x + 4y4x² - x + 2yIts perimeter is:
P = 2(l + w)P = 2(x + 4y + 4x² - x + 2y)P = 2(4x² + 6y)P = 8x² + 12yAnswer:
\(\textsf{Perimeter}= 8x^2+12y\)
Step-by-step explanation:
A rectangle has 2 pairs of parallel, congruent sides.
The perimeter of a two-dimensional shape is the distance all the way around the outside. Therefore, the perimeter of a rectangle is twice the sum of its length and width.
Given:
width = \(x + 4y\)length = \(4x^2-x+2y\)Therefore:
\(\begin{aligned}\sf Perimeter & = 2(\sf width + length)\\& = 2 \left((x+4y)+(4x^2-x+2y)\right)\\& = 2(x+4y+4x^2-x+2y)\\& = 2x+8y+8x^2-2x+4y\\& = 8x^2+2x-2x+8y+4y\\& = 8x^2+12y\end{aligned}\)
On a calculator display, some years look the same upside down as right side up. What is the first such year in the 21st century?
Answers
Answer:
The first such year is 2002.
Step-by-step explanation:
For them to be the same upside down as right side up, the first and last digit have to be the same.
Since we are in the 21st century, and the years begin with 2, then have to end with 2. So
2xx2.
Numbers that look the same upside down as right side up are: 0,1,2,5,8. So, the first possible year is:
2002
The accompanying data are from the article "Characteristics of Buyers of Hybrid Honda Civic IMA: Preferences, Decision Process, Vehicle Ownership, and Willingness-to-Pay" (Institute for Environmental Decisions, November 2006). Each of 306 people who purchased a Honda Civic was classified according to gender and whether the car purchased had a hybrid engine or not.Suppose one of these 306 individuals is to be selected at random.a. Find the following probabilities:i. P(male)ii. P(hybrid)iii. P(hybrid|male)iv. P(hybrid|female)v. P(female|hybrid)b. For each of the probabilities calculated in Part (a), write a sentence interpreting the probability. c. Are the probabilities P(hybrid|male) and P(male|hybrid) equal? If not, write a sentence or two explaining the difference between these two probabilities.
Answers
The probabilities are
i. P(male) ≈ 0.503
ii. P(hybrid) ≈ 0.324
iii. P(hybrid|male) ≈ 0.208
iv. P(hybrid|female) ≈ 0.441
v. P(female|hybrid) ≈ 0.677
P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.
What is probability?
Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.
a.
i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503
ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324
iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208
iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441
v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677
b.
i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.
ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.
iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.
iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.
v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.
c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.
Hence, the probabilities are
i. P(male) ≈ 0.503
ii. P(hybrid) ≈ 0.324
iii. P(hybrid|male) ≈ 0.208
iv. P(hybrid|female) ≈ 0.441
v. P(female|hybrid) ≈ 0.677
P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.
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These tables represent a quadratic function with a vertex at (0, -1). What is
the average rate of change for the interval from x= 7 to x = 8?
X
0
1
23
4
5
6
y
-1
-2
-5
-10
-17
-26
-37
Interval
0 to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
Average rate
of change
-1
-3
679
-11
3-2
0-2
0-2
0-2
3-2
d
Answers
The average rate of change for the interval from x = 7 to x = 8 is 35.
To calculate the average rate of change for the interval from x = 7 to x = 8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.
Let's calculate it step by step using the given table
For the interval from x = 7 to x = 8 x1 = 7, y1 = -37 x2 = 8, y2 = -2 Difference in y- values Δy = y2- y1 = -2-(- 37) = 35
Difference inx-values Δx = x2- x1 = 8- 7 = 1
Average rate of change = Δy/ Δx = 35/ 1 = 35
Thus, the average rate of change for the interval from x = 7 to x = 8 is 35. Note: It's important to mention that the values calculated then are grounded solely on the given data. Please insure you corroborate the delicacy of the handed data and environment before using the answer in any important or critical operations.
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Look at a soccer ball. Take the number of vertices, subtract the number of edges, add the number of faces. What do you get? This counting can be tricky, so think of a systematic method of accomplishing it.
Answers
when we take the number of vertices, subtract the number of edges, and add the number of faces we get the value of 2 as below:
From Euler's formula: V-E+F = 2
What is meant by Euler's formula?
The following formula is used for polyhedrons, according to Euler's formula, which is defined as follows:
F + V - E = 2
F is the face count, V is the vertices count, and E is the number of edges.
A polyhedron is a three-dimensional solid made by connecting polygons.
The flat surfaces that make up a polyhedron are referred to as its faces. Regular polygons make up these faces. The regions where the two flat surfaces connect to form a line section are referred to as the edges. The vertex is where the edges of the polyhedron come together. A vertex is a common term for a polyhedron's corner.
A soccer ball has 32 faces.
Out of which 20 are regular hexagons and 12 are regular pentagons.
Then,
Number of edges = 20 * 6 + 12 * 5 = 180
But each edge is shared by 2 faces.
So the actual number of edges on the pentagon = 180/2 = 90
Now the number of vertices can be found using Euler's formula.
Euler's formula is as follows:
F + V = E +2
where
F = 32
E = 90
V = E + 2 - F = 90+2 - 32 = 60 = Number of vertices
Euler's formula can also be written as V-E+F = 2
Therefore when we take the number of vertices, subtract the number of edges, and add the number of faces we get the value of 2 as below:
From Euler's formula: V-E+F = 2
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A women buys 23 pounds of potatoes. She gives 10% of them to a neighbor and 15% of them to her mother. How many pounds dose she have left?
Answers
Answer:
= 17.25 pounds (Answer)
Step-by-step explanation:
Potatoes she bought = 23 pounds
Amount she gave outsiders= 10+15=25%
= 23×25/100= 23/4=5.75 pounds
Potatoes left with her= 23 — 5.75
= 17.25 pounds (Answer)
Answer:
17.25 pounds
Step-by-step explanation:
10% of 23 is 2.3
15% of 23 is 3.45
Add them together you get 5.75
Subtract 5.75 from 23
Answer is 17.25
use the appropriate compound interest formula to compute the balance in the account after the stated period of time $24,000 is invested for 3 years with an APR of 3% and daily compounding.
Answers
Given: compound interest
Balance = P = $24,000
Time = t = 3 years
Rate = r = 3% = 0.03
Daily compounding, n = 365
so,
\(A=P\cdot(1+\frac{r}{n})^{nt}\)substitute with P, r, t, and n
\(\begin{gathered} A=24000\cdot(1+\frac{0.03}{365})^{365\cdot3} \\ \\ A=24000\cdot1.09417=26260 \end{gathered}\)So, the answer will be the balance after 3 years = $26,260
Rotation 90° clockwise about the origin
N
O
G
Answers
An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.
What is a rotation?In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;
(x, y) → (y, -x)
Point N = (-4, -1) → Point N' (-1, 4)
Point O = (-4, -3) → Point O' (-3, 4)
Point G = (0, -1) → Point G' (-1, 0)
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EVALUATE this problem: 7 x 6 = 2
Please show work and answer. Worth 30 points
Answers
Answer:
21
Step-by-step explanation:
7 × 6 = 42
42 ÷ 2 = 21
21 (Correct)
Angelica can type 114 words in 3 minutes. At this rate, how many words can she type in 1 minute?
Answers
Answer:
38 words
Step-by-step explanation:
Answer:
114/3 =38
Step-by-step explanation:
you do 114/3 to get how many words in one minute
= 38 words
Is 8,916,699 divisible by 4?
yes
no
Answers
Answer: no
Step-by-step explanation:
Suppose that y varies directly with x, and y= --27 when x= --3 .
A) write a direction variation equation that relates x and y.
B) Find Y when x= 5
Answers
Answer:
A) y=9x
B) y=45 when x=5
Step-by-step explanation:
Part A
\(y=kx\\-27=k(-3)\\-27=-3k\\9=k\\y=9x\)
Part B
\(y=9(5)\\y=45\)
5. Jennifer bought 14.75 gallons of gasoline for her car at a cost of $2.95 a gallon. Which is closest to the amount she paid for the gasoline? Responses
A. less than $35.00
B. between $35.00 and $40.00
C. between $40.00 and $45.00
D. more than $45.00
Answers
a rectangular field is 0.45 kilometers long and 0.3 kilometers wide what is the area of the field in square meters?
Answers
Answer:135000
Step-by-step explanation:
Answer:
The field has an area of 135,000 m².
Step-by-step explanation:
We first convert the measurements from kilometers to meters by multiplying by 1000.
- - - - - - - - - - - - - Length: 0.45 km = (0.45 × 1000) m = 450 m.
- - - - - - - - - - - - - Width: - - 0.3 km = (0.3 × 1000) m = 300 m.
So the field is a rectangle 450 meters long and 300 meters wide.
To compute the are of this rectangle, we multiply its length by its width.
- - - - - - - - - - - - - - Area = 450 × 300 = 135,000 m².
so the answer is 135,000 m².
Help please! Find the converse
Answers
Answer:
Step-by-step explanation:
The converse of ~q => ~p is ~p => ~q.
Help&EXPLAIN
•••••••••••••••••••
Answers
Answer: 100
Step-by-step explanation:
2(4x7)+2(4x2)+2(7x2)=?
2(28)+2(8)+2(14)=?
56+16+28=100
The 65 students in a classical music lecture class were polled, with the following results: 36 like Wolfgang Amadeus Mozart 37 like Ludwig van Beethoven 32 like Franz Joseph Haydn 14 like Mozart and Beethoven 20 like Mozart and Haydn 15 like Beethoven and Haydn 8 like all three composers. How many of these students like:________.
a. exactly two of these composers?
b. exactly one of these composers?
c. like only Mozart?
d. like haydn and exactly one of the other two?
e. like none of these composers?
Answers
The following are the solutions for the student data:
a. 25 students like exactly two of the composers
b. 31 students like exactly one these composers
c. 10 students like only Mozart
d. 19 students like haydn and exactly one of the other two composers
e. Only one student like none of these composers.
What is Venn diagramVenn diagrams are commonly used in mathematics, statistics, and logic to illustrate relationships between sets of data. It consists of circles that overlap to show the similarities and differences between the sets like in the case of students data.
Students who like:
All three composers = 8
Only Mozart and Beethoven = 14 - 8 = 6
Only Mozart and Haydn = 20 - 8 = 12
Only Beethoven and Haydn = 15 - 8 = 7
Only Mozart = 36 - (6 + 12 + 8) = 10
Only Beethoven = 37 - (6 + 7 + 8) = 16
Only Haydn = 32 - (12 + 7 + 8) = 5
Students who like none of the composers:
65 - (10 + 16 + 5 + 12 + 6 + 7 + 8)
65 - 64 = 1
Therefore, students who like:
exactly two of the composers = 12 + 6 7 = 25 students
exactly one these composers = 10 + 16 + 5 = 31 students
only Mozart = 10 students
Haydn and exactly one of the other two composers = 12 + 7 = 19 students
none of the composers = 1 student
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If a six-sided fair die is tossed two times and "3" shows up both times, the probability of "3" on the third trial is.
Answers
12112213213213211111111111111111111
Which statement about events A and B is TRUE? A. If P(A | B) = P(B) and P(B | A) = P(A), then the events are dependent. B. If P(A | B) = P(B) and P(B | A) = P(A), then the events are independent. C. If P(A | B) = P(A) and P(B | A) = P(B), then the events are independent. D. If P(A | B) = P(A) and P(B | A) = P(B), then the events are dependent.
Answers
Using conditional probability, it is found that the correct statement is given by:
C. If P(A | B) = P(A) and P(B | A) = P(B), then the events are independent.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula is:
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which:
P(B|A) is the probability of event B happening, given that A happened.\(P(A \cap B)\) is the probability of both A and B happening.P(A) is the probability of A happening.If two events are independent, we have that:
\(P(A \cap B) = P(A)P(B)\).
Hence:
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)\)
\(P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{P(A)P(B)}{P(B)} = P(A)\)
Which means that option C is correct.
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What is the decimal form or 100/3, 100/5, 100/6? Determine whether each decimal repeats or terminates.
Answers
Answer:
100/3=33.33333
100/5=20
100/6=16.66666666
Step-by-step explanation:
The decimal form are:
100/3 =33.3333 Repeats decimal
100/5=20 Terminates decimal
100/6=16.6666 Repeats decimal
Given:
Decimal form of 100/3, 100/5, 100/6
We are going to divide each given fraction numerators by the denominators in order to determine whether whether each decimal repeats or terminates.
Hence:
100/3 =33.3333 Repeats decimal
100/5=20 Terminates decimal
100/6=16.6666 Repeats decimal
Inconclusion The decimal form are:
100/3 =33.3333 Repeats decimal
100/5=20 Terminates decimal
100/6=16.666 Repeats decimal
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plz help asap plzzzzzzz
Answers
Answer:
x=-1
Step-by-step explanation:
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.8 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 10 samples is 6.4 ppm with a standard deviation of 1.1. Does the data support the claim at the 0.05 level
Answers
Answer:
The test statistics fall in the critical region and hence null hypothesis is to be rejected.
Step-by-step explanation:
The null hypothesis : H0 : Mean = 6.80
Alternative hypothesis: Ha: Mean is not equal to 6.80
As per the z statistics
z = (x’-mean)/(sigma/sqrt n)
Substituting the given values, we get –
z = 6.4-6.8/(1.1/sqrt 10)
z = -1.149
z test statistics is -1.149
Critical value for two tailed test at 98% confidence is .10749
The test statistics fall in the critical region and hence null hypothesis is to be rejected.