A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. How much time does it take to sort the books from start to finish?
Answers
Answer:
6 days
Step-by-step explanation:
hope this helps
A librarian sorts 450 books at a constant rate. After 4 days, the librarian still has 150 books to sort. Then 6 days time does it take to sort the books from start to finish
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The librarian sorted at a constant rate, then they sorted the same amount of books all 4 days.
450-150=300
If they still have 150 books left to sort, then they sorted 300 books over 4 days.
300/4=75
This means that they sorted 75 books per day.
150 divided by 75 is 2
So it will take 2 more days to finish sorting all the books.
So altogether, it will take 6 days to sort all of the books.
Hence 6 days time does it take to sort the books from start to finish
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Related Questions
For each of the following situations, identify the measure of central tendency (mean, median, or mode) that would provide the best description of the "average" or most representative score. Please explain your choice: a. A researcher asks each individual in a sample of 50 adults to name his/her favorite season (summer, fall, winter, spring). b. An insurance company would like to determine how long people remain hospitalized after a routine appendectomy. The data from a large sample indicate that most people are released after 2 or 3 days but a few develop infections and stay in the hospital for weeks c. A teacher measures scores on a standardized reading test for a sample of children from a middle-class, suburban elementary school.
Answers
The measure of central tendency best suited for the given situation are mode (a), median (b) and mean (c) respectively.
a. The measure of central tendency best suited for this situation is the mode, because it would provide the most representative score of the favorite season. The mode is the most commonly occurring value in a set of data, so it would be useful for determining the most popular season among the sample of 50 adults.
b. The measure of central tendency best suited for this situation is the median, because it would provide the most representative score of the length of stay in the hospital after a routine appendectomy. The median is the middle value in a set of data when the values are arranged in numerical order, and it is not affected by very high or very low values (as the mean is). Therefore, it would be the most useful for determining the average length of stay in the hospital for this particular sample.
c. The measure of central tendency best suited for this situation is the mean, because it would provide the most representative score of the standardized reading test scores. The mean is the average of all the values in a data set, so it would be useful for determining the average score of the sample of children from the middle-class, suburban elementary school.
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The fifth term of an arithmetic sequence is 96. Which rule could define the sequence
An=5n+96
An=6n+18
An=18n+6
An=96n+5
Answers
Answer:
IT'S C
Step-by-step explanation:
mark brainliest !
Answer:
c
Step-by-step explanation:
Give the slope of any line that is perpendicular to the line y = -1/8 x + 5
Answers
Answer:
8
Step-by-step explanation:
To find a slope for a line that is perpendicular to another line, you simply need to take the negative reciprocal of the the original line's slope. In this case we are already given the slope as the coefficient to x: -1/8. The negative reciprocal of that is 8/1, or just 8.
Problems 1-5: We want to know the true proportion of students that are ok with online courses. We take a sample of 120 students, and 72 said they are ok with online courses. We want to create a 95% confidence interval. Answer the questions below:1) What is the point estimate for the population proportion?2) What is the standard error?3) What is the z score for 95% confidence?4) What is a 95% confidence interval for this data?5) What is the margin of error for this data?
Answers
Answer:
Step-by-step explanation:
ima a braintlest
greatest common factor
3a^3+9a^2
Answers
Answer:
27A+81A =108
Step-by-step explanation:
#4 Real World Scenario
A bird starts flying away from a
tree and goes exactly 6 miles
south. It then turns and flics
exactly 3 miles east. What is
the shortest distance it needs to
fly to return to the original
tree? If necessary, round your
answer to the nearest tenth.
Answers
The smallest distance it has to go to get back to the starting tree is \(3\sqrt{5}\)when traveling 6 miles to the south before turning 3 miles to the east.
what is pythagoras theorem ?According to Pythagoras's Theorem, the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. Perpendicular, Base, and Hypotenuse are the names of this triangle's three sides. The Pythagorean Theorem demonstrates how to calculate the side lengths of a right triangle by adding the areas of three intersecting squares. As the foundation for more intricate trigonometry theories like the Pythagorean theorem's opposite, this theorem is a very helpful tool.
given
by pythagoras theorem :-
shortest distance = \(c^{2} = a^{2} + b^{2} \\\)
\(c^{2} = 6^{2} + 3^{2} \\c^{2} = 36 + 9\\c^{2} = 45\\c = 3\sqrt{5}\)
The smallest distance it has to go to get back to the starting tree is \(3\sqrt{5}\)when traveling 6 miles to the south before turning 3 miles to the east.
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In November, Andre received a monthly salary of £2500.
Of this he spent
40% on his rent
£300 on leisure
The rest of Andre's monthly salary was spent on household bills and on food where
the amount spent on household bills: the amount spent on food-3:7
Work out how much of his November monthly salary Andre spent on food.
Answers
The amount of money from his salary Andre spent on food will be £840.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
In November, Andre received a monthly salary of £2500. Of this, he spent 40% on his rent and £300 on leisure. Then the remaining amount is calculated as,
Remaining amount = £2,500 - 0.40 x £2,500 - £300
Remaining amount = £1,200
Let 'x' be the amount spent on household bills and 'y' be the amount spent on food. Then the equation is given as,
x + y = £1,200 ...1
x / y = 3 / 7 ...2
From equations 1 and 2, then we have
(3/7)y + y = £1,200
(10/7)y = £1,200
y = £840
The amount of money from his salary Andre spent on food will be £840.
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Plzzzz answer fast it’s for test find the unknown Angle measure
Answers
Answer:
x =180-(90+46)
=180-136
=44
Answer:
44°
Step-by-step explanation:
180-90-46=44
In x Find the exact length of the curve: y = 2≤x≤4 2 4 Set up an integral for the area of the surface obtained by rotating the curve about the line y=2. Use 1 your calculator to evaluate this integral and round your answer to 3 decimal places: y=-, 1≤x≤3 x
Answers
The length of the curve round to 3 decimal places is 13.333.
Let's have further explanation:
1: The upper and lower limits of integration:
Lower limit: x = 1
Upper limit: x = 3
2: The integral:
∫(2 ≤ x ≤ 4) ((x−1)^2) d x
Step 3: Evaluate the integral using a calculator:
∫(2 ≤ x ≤ 4) ((x−1)^2) d x = 13.333
Step 4: Round it to 3 decimal places:
∫(2 ≤ x ≤ 4) ((x−1)^2) d x = 13.333 ≈ 13.333
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A JMP regression model is made for the following data set:
X Y
10 6
12 9
16 10
19 18
For an x value of 16, the linear regression model predicts y= 12
Calculate the residual at x =16
Answers
The residual at x = 16 is obtained by subtracting the predicted value (12) from the observed value (10), resulting in a residual of -2.
In the given data set, a regression model has been created using JMP. For an x value of 16, the linear regression model predicts a y value of 12. To calculate the residual at x = 16, we need to find the difference between the predicted y value (12) and the actual observed y value corresponding to x = 16.
From the data set, we can see that the observed y value at x = 16 is 10. Therefore, the residual at x = 16 is obtained by subtracting the predicted value (12) from the observed value (10), resulting in a residual of -2.
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ANSWERR THISSS ASAPPPPP
(21points)
Answers
Answer:
the answer is C......
Step-by-step explanation:
!!!!!!!!!!!
9. justify the following equality: dim row a nullity a = n , the number of columns of a
Answers
The justification for the equality "dim row a nullity a = n, the number of columns of a" lies in the concept of linear algebra. In a matrix, the dimension of the row space plus the dimension of the null space is equal to the number of columns. This is known as the Rank-Nullity Theorem.
In this case, "dim row a" refers to the dimension of the row space of matrix A, which is the subspace spanned by the rows of A. "Nullity a" refers to the dimension of the null space of A, which is the subspace of all solutions to the homogeneous equation Ax=0.
Therefore, the sum of the dimension of the row space and the dimension of the null space of A is equal to the total number of columns in A.
This is expressed as "dim row a nullity a = n", where n is the number of columns in A.
Hence, the justification for the equality is based on the Rank-Nullity Theorem and the properties of the row space and null space of a matrix.
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Fernando had to pay $1.40 in sales tax when he purchased a shirt. If the sales tax rate is 7%, how much did his shirt cost? please show step by step
Answers
1.4 140
—— = ——
0.07 7
=20
Pls help this homework is due tomorrow and I’m so confused thank you for taking your Time x
Answers
Answer:
a) x= 75
b) 105 is the same angle as angle B, I subtracted 180 by 105
180-105= 75
A study was done on the weights of different types of fish in a pond. A random sample of fish were caught and marked in order to ensure that none were weighed more than once. The sample contained 150 largemouth bass, of which 30% weighed more than 2 pounds. Which of the following conclusions is best supported by the sample data?
A) The majority of all fish in the pond weigh less than 2 pounds.
B) The average weight of all fish in the pond is approximately 2 pounds.
C) Approximately 30% of all fish in the pond weigh more than 2 pounds.
D) Approximately 30% of all largemouth bass in the pond weigh more than 2 pounds.
Answers
According to the sample data, the best conclusion supported by the sample data is that approximately 30% of all largemouth bass in the pond weigh more than 2 pounds. The answer is (D) Approximately 30% of all largemouth bass in the pond weigh more than 2 pounds.
The conclusion that is best supported by the sample data is that approximately 30% of all largemouth bass in the pond weigh more than 2 pounds, which is based on the fact that the sample contained 150 largemouth bass, of which 30% weighed more than 2 pounds.
Therefore, options A and C are incorrect. The sample data does not provide enough information to determine the average weight of all fish in the pond, so option B is also incorrect.
The correct answer is D) Approximately 30% of all largemouth bass in the pond weigh more than 2 pounds. This conclusion is supported by the sample data because the study specifically included a sample of 150 largemouth basses, of which 30% weighed more than 2 pounds. The other options are not supported by the sample data because the study does not include data on any other types of fish or the average weight of all fish in the pond.
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How many terms are in the following polynomial provided below? (give a
numerical value as answer - i.e., 10)*
3x2 – 2y + 8x – 16
Answers
Answer:
4
Step-by-step explanation:
A term is a constant or variable or product of constant and variables
3x² ----> term 1
-2y ------> term 2
+8x -------> term 3
-16 -------> term 4
1.Find the period of the following functions. a) f(t) = (7 cos t)² b) f(t) = cos (2φt²/m)
Answers
Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.
We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =
(7 cos t)² = 2π/b = 2π/2π = 1.
The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =
cos (2φt²/m) is √(4πm/φ).
The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).
The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).
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Which graph represents the function? g (x) = StartLayout Enlarged left-brace First row negative x minus 2, x less-than-or-equal-to negative 2 Second row negative x squared, negative 2 less-than x less-than 0 Third row x, x greater-than 0 EndLayout On a coordinate plane, a piecewise function is comprised of a line and curve. The line starts at open circle (negative 2, 0) and goes toward (negative 4, 4). A curve starts at closed circle (negative 2, negative 8) and goes through open circle at (0, 0). The curve continues through (4, 2). On a coordinate plane, a piecewise function is comprised of 2 lines and a curve. A line starts at a closed circle at (negative 2, 0) and goes through (negative 4, 2). A curve starts at an open circle at (negative 2, negative 4) and curves to an open circle at (0, 0). From the open circle at (0, 0), a line goes through (4, 4). On a coordinate plane, a piecewise function is comprised of 2 curves and a line. A curve starts at closed circle (negative 2, 0) and curves up through (negative 3, 1). A line starts at open circle (negative 2, negative 2) and goes to closed circle (0, 0). A curve starts at closed circle (0, 0) and increases through (1, 1).
Answers
The graph that represents the piecewise function, g(x) is the option;
On a coordinate plane, a piecewise function is comprised of 2 lines and a curve. A line starts at a closed circle at (-2, 0), and goes through (-4, 2). A curve starts at an open circle at (-2, -4), and curves to an open circle at (0, 0). From the open circle at (0, 0), a line goes through (4, 4).How can the correct graph be found from the descriptions?The piecewise function is presented as follows;
g(x) = -x - 2; x ≤ -2g(x) = -x²; -2 < x < 0g(x) = x; x > 0The graph that represents can be found as follows;
Characteristics of the correct graph
There are two lines and a curve The graph starts with a closed circle at (-2, 0)Slope of the line -x - 2 is -1, therefore as x-values reduces the y-values increases by the same amount, which corresponds with the points (-2, 0), and (-4, 2).
Therefore;
The line -x - 2, goes through (-2, 0), and (-4, 2)The points (-2, -4), and (0, 0) corresponds with a points on the curve g(x) = -x².
Therefore;
The curve starts at (-2, -4) and goes through (0, 0) having open circles at both points.The points (0, 0), and (4, 4), corresponds with points on the line g(x) = x
Therefore;
From the open circle at (0, 0) a line goes through the point (4, 4)The correct option is therefore;
On a coordinate plane, a piecewise function is comprised of 2 lines and a curve. A line starts at a closed circle at (-2, 0), and goes through (-4, 2). A curve starts at an open circle at (-2, -4), and curves to an open circle at (0, 0). From the open circle at (0, 0), a line goes through (4, 4).Learn more about the graphs of functions here:
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Answer:
the answer is b
Step-by-step explanation:
A survey indicates the location of all improvements located on the premises plus A) the identity of the property owner. B) the status of property taxes. C) any existing easements and encroachments. D) any existing liens.
Answers
A survey that includes the identity of the property owner provides essential information regarding the legal ownership of the property. Option A
Legal and Administrative Purposes: Identifying the property owner is necessary for legal and administrative purposes. It establishes the rightful owner of the property and allows for proper documentation, contracts, and legal transactions related to the property.
Communication and Contact: The identity of the property owner allows for effective communication and contact between stakeholders. It enables interested parties, such as potential buyers, tenants, or authorities, to reach out to the owner for inquiries, negotiations, or obtaining necessary permissions.
Property Rights and Obligations: Understanding the identity of the property owner is essential for determining rights and obligations associated with the property.
Ownership Verification: The identity of the property owner helps in verifying the legal ownership of the property. It provides assurance to potential buyers, lenders, or investors that the seller or claimant is the rightful owner, reducing the risk of fraudulent transactions or disputes.
Transfer of Property: In cases of property transfers, such as sales or inheritances, the identity of the property owner is necessary to ensure a smooth transfer of ownership. It allows for the proper documentation of the transfer and updating of records with relevant authorities.
Option A
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An outlier will most affect the___
A. Mean
B. Median
C. Mode
Answers
Will Mark Brainlest Help Please !!!!!
Answers
Answer:
a = - 2, b = 3
Step-by-step explanation:
B + C
= \(\left[\begin{array}{ccc}6&4\\2&6\\\end{array}\right]\) + \(\left[\begin{array}{ccc}1&-1\\2a&-6\\\end{array}\right]\) ( add corresponding elements )
= \(\left[\begin{array}{ccc}7&3\\2+2a&0\\\end{array}\right]\)
Then
\(\left[\begin{array}{ccc}5&b\\a&0\\\end{array}\right]\) = \(\left[\begin{array}{ccc}7&3\\2+2a&0\\\end{array}\right]\)
Equating corresponding elements gives
b = 3
a = 2 + 2a ( subtract 2a from both sides )
- a = 2 ( multiply both sides by - 1 )
a = - 2
pls check this Thanks!!
! ∪ω∪
Answers
Answer:
Glad to say that all your answers are accurate!
If the angle opposite of the height of a right angle triangle is 15 degrees and the base is 215 cm how much is the height of the triangle.
Answers
Answer:
86.1
Step-by-step explanation:
because if it it trigonometry u do the inverse operation of tan
so its tan-1 (215/15)
=86.0090869
if u want to round to 3sf its 86.1
hope it helped
On Saturday, the bookstore sold x books. On Sunday, the bookstore sold 3 more books than on Saturday. The expression 2x + 3 represents the total number of books sold over the weekend.
What does the "2" represent in the expression 2x + 3?
A. the number of books sold on Saturday.
B. how much more books were sold on Saturday.
C. the number of days.
D. the total number of books sold.
Answers
Answer:
The number of days
Step-by-step explanation:
Since the person sold at saturday and sunday, and it says x represents the number of books sold and 3 represents that 3 more was sold in sunday. Therefore we need to know how much it sold throughout the weekend, so we need to know the number of days to calculate, thus 2 must represents the number of days.
A: x
B: 3
C: 2
D: 2x + 3
they didn’t give enough info i believe to get actual values
Gianna has $760 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $356.46.
She buys 2 bicycle reflectors for $10.01 each and a pair of bike gloves for $20.72.
She plans to spend some or all of the money she has left to buy new biking outfits for $45.35 each.
Write and solve an inequality which can be used to determine
o
o, the number of outfits Gianna can purchase while staying within her budget.
Answers
Answer:
Gianna has $760 to spend and she has already spent $356.46 on a new bicycle, $10.01 on 2 bicycle reflectors, and $20.72 on a pair of bike gloves.
The total amount spent on these items is $356.46 + $10.01 + $20.72 = $387.19.
Gianna has $760 - $387.19 = $<<760-387.19=372.81>>372.81 left to spend on biking outfits.
She wants to buy biking outfits that cost $45.35 each.
We can write an inequality to represent the number of outfits Gianna can purchase while staying within her budget as follows:
45.35o <= 372.81
This inequality can be solved by dividing both sides by 45.35:
o <= 8.24
Therefore, Gianna can purchase 8 biking outfits while staying within her budget.
Step-by-step explanation:
Write 0.047883 correct to 2 significant figures
Answers
Answer:
0.048
explanation:
What is the result of the math formula: =2*10+4^2
Answers
Answer:
36
Step-by-step explanation:
2(10)+4^2
20+4^2
20+16
36
Answer: The result of the math formula =2*10+4^2 is 28.
To calculate this formula, you first need to perform the exponentiation operation of 4^2, which is 16. Then, you multiply 2 by 10, which gives you 20. Finally, you add 20 to 16, which gives you the final answer of 28.
The sum of ages of a woman and her daughter is 46 years. In 4 years time, the ratio of their ages will be 7:2. Find their present ages?
Answers
Step-by-step explanation:
Given ,The sum of the ages of a woman and her daughter is 46 years.In 4 years time,the ratio of their ages will be 7:2.To Find : Their present ages
Solution :Consider,
Present age of woman = x yearsPresent age of Daughter = y yearsAccording to the 1st condition :-The sum of the ages of a woman and her daughter is 46 years.\(x + y = 46\\x = 46 -y\)
According to the 2nd condition :-In 4 years time,the ratio of their ages will be 7:2.After 4 years,Age of woman = (x+4) yearsAge of daughter = (y+4) years→ (x+4) : (y +4) = 7:2
→ x+4/y+4 = 7/2
→ 46-y+4/y+4 = 7/2
→ 50-y/y+4 = 7/2
→7y +28 = 100-2y
→ 7y +2y = 100 -28
→ 9y = 72
→ y = 8
Present age of Daughter = 8 yearsNow put y = 8 in eq(1) .
→ x = 46 - y
→ x = 46 - 8
→ x = 38
Present age of woman = 38 years.Mark Me Brainliest
A jeweler has 5 rings, each weighing 12 g, made of an alloy of 5% silver and 95% gold. She decides to melt down the rings and add enough silver to reduce the gold content to 75%. How much silver should she add?.
Answers
The amount of silver that should be added is 48% . A jeweler is said to have 5 rings that weigh 12 g apiece and are composed of an alloy of 20% silver and 80% gold.
What are linear equations?
An equation between two variables that, when plotted on a graph, produces a straight line.
The material will weigh 12 × 5 = 60 grams after melting all 5 rings.
The alloy's 20% silver and 80% gold content have been disclosed to us. Let's further say that the melted material receives an additional x grams of silver, resulting in a composition of 64% gold and 36% silver.
Thus, we can construct the following equation:
Amount of gold before = Amount of gold after mixing
So the equation we get
80% of 60 grams =64% of (X + 60) gram
0.80 × 60 = 0.64 (x + 60)
48 = 0.64x + 38.4
0.64x = 9.6
x = 9.6/0.64
x = 15
So
Amount of silver that needed to be added
= 0.64(15 + 60)
= 0.64(75)
= 48%
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Brainliest goes to whoever answers correctly
Answers
Answer:
B
Step-by-step explanation:
if there was a verticle line, it can pass it