To rank the libraries from 1 having the greatest total number of comic books to 5 having the least total number of comic books, we need to first calculate the total number of books in each library.
Let's start by using the information given to find the total number of books in each library:
For Library A, we know that 30 comic books are 2% of its total books. So, we can set up the following equation:
30 = 0.02x
where x is the total number of books in Library A. Solving for x, we get:
x = 1500
Therefore, Library A has a total of 1500 books.
For Library B, we know that 45 comic books are 5% of its total books. So, we can set up the following equation:
45 = 0.05x
where x is the total number of books in Library B. Solving for x, we get:
x = 900
Therefore, Library B has a total of 900 books.
For Library C, we know that 65 comic books are 2% of its total books. So, we can set up the following equation:
65 = 0.02x
where x is the total number of books in Library C. Solving for x, we get:
x = 3250
Therefore, Library C has a total of 3250 books.
For Library D, we know that 75 comic books are 10% of its total books. So, we can set up the following equation:
75 = 0.1x
where x is the total number of books in Library D. Solving for x, we get:
x = 750
Therefore, Library D has a total of 750 books.
For Library E, we know that 90 comic books are 3% of its total books. So, we can set up the following equation:
90 = 0.03x
where x is the total number of books in Library E. Solving for x, we get:
x = 3000
Therefore, Library E has a total of 3000 books.
Now that we have the total number of books in each library, we can rank them based on the number of comic books they have:
Library C: 65 comic books
Library E: 90 comic books
Library B: 45 comic books
Library A: 30 comic books
Library D: 75 comic books
Therefore, the libraries ranked from 1 having the greatest total number of comic books to 5 having the least total number of comic books are: C, E, B, A, D.
State the open intervals where the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)
f(x) = 81 − x2
The function f(x) = 81 − x2 is increasing on the interval (−∞, 9) and decreasing on the interval (9, ∞).
What is parabola?Parabola is a type of curve which is defined by the quadratic equation. It has a distinct "U" shape, with the vertex of the curve being the highest or lowest point.
The point x = 9 is the vertex of the parabola, which marks the point at which the function changes from increasing to decreasing.
Since the function is a parabola, it is also a polynomial of degree 2, and it is always decreasing for points greater than the vertex, and increasing for points less than the vertex.
This means that the function is increasing on the interval (−∞, 9) and decreasing on the interval (9, ∞).
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Weekly wages at a certain factory are
normally distributed with a mean of $400 and
a standard deviation of $50. Find the
probability that a worker selected at random
makes between $450 and $550.
250
350 400 450 500 550
P = [? ]%
Hint: use the 68- 95 - 99.7 rule.
300
There is a 15.74% chance that a randomly chosen employee will earn between $450 and $550.
Define probabilityThe study of random occurrences or phenomena falls under the umbrella of the mathematic discipline known as probability. It is the measure of the likelihood or chance that an event will occur, expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
To find : the probability that a worker selected at random makes between $450 and $550
z = (x - μ) / б
where б is the standard deviation, μ is the mean, and x is the value we wish to normalize.
For $450, we have:
z₁ = (450 - 400) / 50 = 1
For $550, we have:
z₂ = (550 - 400) / 50 = 3
We can then use a standard normal distribution table or calculator to find the area under the standard normal curve between z₁and z₂:
P(z₁< z < z₂) = P(1 < z < 3) = 0.1574
This means that the probability that a worker selected at random makes between $450 and $550 is 15.74%.
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A number written without a sign is a _______ number.
Answer:
Positive
Step-by-step explanation:
It's a positive number
If it doesn't have a (-) it's a positive number
Saanvi recorded the number of math problems she did for homework each night for 10 days.
`0`, `5`, `5`, `4`, `5`, `10`, `5`, `6`, `50`, `0`
Calculate the mean and MAD of this data.
Answer:
Saanvi recorded the number of math problems she did for homework each night for 10 days.
Step-by-step explanation:
Ten cards numbered 1 thru 10 are placed in a box. If a card is de random from the box, what is the probability of drawing a prime a 10% b 25% c 40% d 50%
Answer:
a) There are four prime numbers between 1 and 10: 2, 3, 5, and 7. So the probability of drawing a prime number is 4/10 or 2/5, which is 20% and not 10%. Therefore, option (a) is not correct.
b) As we saw in part (a), the probability of drawing a prime number is 2/5 or 40% (since 2/5 is equivalent to 0.4). Therefore, option (b) is correct.
c) The probability of drawing a prime number is 2/5 or 40%, which is not 25%. Therefore, option (c) is not correct.
d) As we saw in part (a) and (b), the probability of drawing a prime number is 2/5 or 40%, which is not 50%. Therefore, option (d) is not correct.
So, the correct answer is (b) 25%.
Hope This Helps!
A gold and diamond bracelet sells for $1200. Find the sales tax and the total price if the sales tax rate is 3.5%.
Answer:42
Step-by-step explanation:
13. A bag contains 40 balls, each of which is black or gold. Anele reaches into the bag and randomly removes two balls. Each ball in the bag is equally likely to If the be removed. probability that two gold balls are removed is how 12 many of the 40 balls are gold?
The number of gold balls in the given bag is determined as 25 gold balls.
How many of the 40 balls are gold?Let's use the formula for calculating probability:
Probability of an event = Number of favorable outcomes / Total number of outcomes
The total number of possible ways to choose 2 balls from a bag of 40 is:
40C2 = (40 x 39) / (2 x 1) = 780
Now we need to find the number of ways to choose 2 gold balls from the bag.
Let's say there are "g" gold balls in the bag. Then the number of ways to choose 2 gold balls is:
gC2 = (g x (g-1)) / (2 x 1)
We want to find the probability that 2 gold balls are removed, so we use the formula above to get:
Probability of choosing 2 gold balls = Number of ways to choose 2 gold balls / Total number of ways to choose 2 balls
Therefore, we have:
Probability of choosing 2 gold balls = gC2 / 40C2
We are given that this probability is 12/95, so we can set up an equation:
(g x (g-1)) / (2 x 1) / (40 x 39) / (2 x 1) = 12/95
Simplifying, we get:
g x (g-1) = (12/95) x (40 x 39)
g x (g-1) = 624
Expanding and rearranging, we get a quadratic equation:
g² - g - 624 = 0
Solving this quadratic equation, we get:
g = 25 or g = -24
We discard the negative solution, as the number of gold balls must be a positive integer. Therefore, there are 25 gold balls in the bag.
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Can someone help me with this please!!!
Using the graph of the picewise function we can see that:
i(-3) = 2i(-4) = 3How to evaluate the piecewise function?Here we have a piecewise function and we want to evaluate it in different values of x.
First we want to get:
i(-3)
Notice that at x = -3 we have a closed circle in the second line, the one constant at y = 2, so we need to use that value here:
i(-3) = 2
The closed dot means that the value belongs to that line, while a open one (like the one that is just above) means that the value does not belong.
For the second evaluation:
i(-4)
This time we just need to look at the line in the left, here we can see that: i(-4) = 3
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The polynomials (-3y²-y-8) + (-y² + 2y - 4) when added is:
Answers options
O -4y² + y - 12.
O -4y²-y-12.
O 4y² + y - 12.
O-4y2-3y - 12.
O 4y2-3y - 12.
Answer:
-4y2 +y - 12
Step-by-step explanation:
-3y2 - y2= -4y2
-y+2y= y
-8 - 4= -12
-4y2 + y - 12
what is Bethany's score on the test if she answered 23 out of 30 right?
part:
whole:
percent:
Answer: 76.67%
Step-by-step explanation:
What are the coordinates of the point on the directed line segment from ( − 7 , 3 ) (−7,3) to ( 3 , − 9 ) (3,−9) that partitions the segment into a ratio of 3 to 1?
The coordinates of the point on the directed line segment are (-6, 0)
Define the term coordinates of the point?Coordinates of a point refer to a set of numbers that represent the location of the point in a particular coordinate system.
To find the coordinates of the point that partitions the line segment from (-7,3) to (3,-9) into a ratio of 3 to 1, we can use the following formula:
P = [tex]( (3/4)*x_1 + (1/4)*x_2 , (3/4)*y_1 + (1/4)*y_2 )[/tex]
where P is the point that partitions the line segment, (x₁, y₁) and (x₂, y₂) are the coordinates of the endpoints of the segment, and the coefficients 3/4 and 1/4 correspond to the ratio in which the segment is divided.
Plugging in the values, we get:
P = ( (3/4)*(-7) + (1/4)*3 , (3/4)3 + (1/4)(-9) )
= (-21/4 - 3/4 , 9/4 - 9/4)
= (-6, 0)
Therefore, the coordinates of the point that partitions the line segment from (-7,3) to (3,-9) into a ratio of 3 to 1 are (-6, 0).
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aflati doua numere naturale stiind ca suma lor este 102 iar impartind numarul mare la cel mic obtinem catul 2 si restul 12
helo please show work
Answer:
Step-by-step explanation:
Solution:
We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).
The GCF of 305 and 60 is 5.
Divide both terms by 5.
305 ÷ 5 = 61
60 ÷ 5 = 12
Therefore:
305 : 60 = 61 : 12
The vertex of the graph of the equation
y = -x² + 6x + 1 is
A. O neither a maximum nor a minimum
B. O both a maximum and a minimum
C. O a minimum
D. O a maximum
The vertex is ( 6 , 1 ). The vertex of the graph of the equation maximum.
What is parabola in math?
Each point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line. All of the parabola-related ideas are discussed here since it is a crucial component of the conic section subject.
the equation y = -x² + 6x + 1
Use the formula: -b/2a
= -6/-1
= 6
The x-coordinate of the vertex is 6
Plug the x value back into the original equation to find the y-coordinate of the vertex
y = -x² + 6x + 1
= -(6)² + 6 * 6 + 1
= -36 + 36 + 1
= 1
The vertex is = ( 6 , 1 )
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Ryan is installing new flooring in his house. Ryan can install 144 square feet of flooring in 3 hours. How much new flooring can Ryan install in 18 hours?
Here's what you need to do:
We know that Ryan can install 144 square feet of flooring in 3 hours.
So, if we take 144 square feet, and divide by 3 hours, 144 / 3, we end up with 48, meaning Ryan can install 48 square feet of flooring every hour.
Then, simply multiply 48 by 18, 48 x 18, and you end up with 864.
Meaning, in 18 hours, Ryan can install 864 square feet of flooring.
Answer: 864 square feet.
PLSSSS HELPPPPPPPOO
Write an expression in standard form that
represents the AREA of the square. A = s²
5y+3
Answer:
Step-by-step explanation:
The expression in standard form that represents the area of the square with side length s is given by:
A = s^2
However, if you want to substitute the value of s with the expression 5y+3, then the area expression becomes:
A = (5y+3)^2
Expanding the expression, we get:
A = 25y^2 + 30y + 9
Therefore, the expression in standard form that represents the area of the square with side length 5y+3 is 25y^2 + 30y + 9.
How many pieces of rope measuring 5/8 of a foot can be cut from a rope of 4 3/8 feet?
We can cut 6 pieces of rope measuring 5/8 of a foot from a rope of 4 3/8 feet, with some rope left over.
What is area?Area is a measurement of the size of a surface or a region in a two-dimensional space. It is expressed in square units, such as square inches (in²), square meters (m²), or square feet (ft²). To find the area of a shape, you need to multiply its length by its width, or use an appropriate formula depending on the shape. For example, the formula for the area of a rectangle is A = l × w, where A is the area, l is the length, and w is the width.
To find the number of pieces of rope measuring 5/8 of a foot that can be cut from a rope of 4 3/8 feet, we need to divide the length of the rope by the length of each piece of rope:
4 3/8 feet = 4 + 3/8 feet = 4 feet + (3/8) x 12 inches = 4 feet + 3 inches = 51 inches
Each piece of rope measures 5/8 of a foot, which is equivalent to 5/8 x 12 inches = 7.5 inches.
Now we can divide the length of the rope (in inches) by the length of each piece of rope (in inches) to find the number of pieces:
51 inches ÷ 7.5 inches ≈ 6.8
Therefore, we can cut 6 pieces of rope measuring 5/8 of a foot from a rope of 4 3/8 feet, with some rope left over.
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Determine whether the relation represents y as a function of x: X^2+y^2=4
The relation is not a function, but rather a circle with center at the origin and radius 2.
Does the given relation represents y as a function of x?Given the relation in the question;
x² + y² = 4.
First, lets solve for y.
x² + y² = 4
Subtract x² from both sides
x² - x² + y² = 4 - x²
y² = 4 - x²
Take the squre root of both sides
y = ±√( 4 - x² )
This shows that for a given value of x, there are two possible values of y. One positive and one negative, that satisfy the equation.
Therefore, the relation is not a function.
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Parvati goes to the movies with $16 in her wallet. She buys
a ticket for $6.25 and two snacks for $2.25 each. How
much money does she have left?
Select the correct expression.
OA. 16-6.25-2-2.25
OB. 16-(6.25 +2.2.25)
O C. 16-2(6.25 +2.25)
OD. 16-6.25 +2.2.25
Answer:
[tex]16-(6.25+2*2.25)[/tex]
Step-by-step explanation:
To find the amount of money she has left, you want to subtract the price of the ticket and the price of the two snacks from the amount of money she starts with.
So we want to subtract 6.25 once and subtract 2.25 twice (because she bought two snacks) from 16
16-6.25-2*2.25
Or you can also do this by adding up the monetary value of the ticket and the snacks and subtract that from the initial amount of money that Parvati has
16-(6.25+2*2.25)
(I am assuming that the "2.2.25" is supposed to say [tex]2*2.25[/tex])
X A A. B. C. D. B any of the perpendicular bisectors of the sides of the hexagon either diagonal of the square any of the perpendicular bisectors of the sides of the square there are no lines across which this figure can reflect onto itself....*******?Got answer off here and showing wrong ones in pic....thanks!
In a regular hexagon, where FGHIJK shares a common center with square ABCD on a coordinate plane. ||. It is Across any of the perpendicular bisectors of the sides of the square that the combined figure can reflect onto itself.
What is the explanation for the above response?
In Regular Hexagon FGHIJK, we have 6 lines of reflection across which the hexagon reflects onto itself. Those lines are:
3 perpendicular bisectors of sides i.e. perpendicular bisector of IJ , IH and GH
3 lines passing through vertices i.e. HK, IF and GJ.
While in Square, we have 4 line of reflection across which the square reflects onto itself. Those lines are:
2 perpendicular bisectors of sides AB and BC i.e. HK and perpendicular bisector of CD
2 diagonals of square i.e. AC and BD
Note as well that from figure we know that perpendicular bisector of CD and perpendicular bisector of IJ is the same line.
So, for combined figure we have to take common lines from both figures i.e. perpendicular of sides CD or IJ and line HK.
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Full Question:
Although part of your question is missing, you might be referring to this full question: See the attached image and the questions below.
In a regular hexagon, FGHIJK shares a common center with square ABCD on a coordinate plane. || . Across which lines can the combined figure reflect onto itself?
A. any of the perpendicular bisectors of the sides of the hexagon
B. either diagonal of the square
C. any of the perpendicular bisectors of the sides of the square
D. there are no lines across which this figure can reflect onto itself
Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is - 1/18.
The solution will be b=4, the number b such that the average rate of change of f on the interval [2, b] is - 1/18 if the provided assertion is correct.
What does interval look like in math?For instance, a range between 0 and 10 would include all of the integers between them, not just 1, 2, 3, 4, 5, 6, 7, 8, and 9. These would additionally incorporate fractional numbers like 1.3 and components like 1/10. We therefore have the job. We must determine b to the extent that the interval [2, b]'s average percentage of change or slope is -1/8. Discover f first(2).
f(2) = 1/(2) = 1/2
So, we have the point (2, 1/2)
At point b, f(b) = 1/b.
Let's plug this into the slope formula
We simply have to figure out b now. Let's start by multiplying the divisor and fraction by b.
Now, cross multiply.
Solve for b. Use the factors -4 and -2 to multiply.
Thus, b=4 or b=2.
However, b=2 cannot be the answer because the range [2,2] has no significance. Thus, b=4.
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The equation P=20sin(2πt)+90 models the blood pressure, P , where t represents time in seconds. a. Find the blood pressure after 30 seconds. Enter the exact answer. The blood pressure is Number . b. What are the maximum and minimum blood pressures? Enter the exact answers. The maximum blood pressure is Number , and the minimum blood pressure is Number .
A rectangular prism has a volume of 840 cubic inches. The height of the prism is 6 inches and the width is 10 inches. Find the length of the prism and explain how you found it. ASAP
Answer:
14
Step-by-step explanation:
Volume = height x width x length
6 x 10 = 60
480 divided by 60 = 14
cost of jacket: $249.96 markup: 80% discount: 50% tax: 2%
Answer:249.98
Step-by-step explanation: i had a question like this before.
The measure of each interior angle of a
regular polygon is 135°. How many sides does the polygon have?
A. 5
B. 6
C. 7
D. 8
E. Cannot be determined from the
information given.
Answer:
8 sides
Step-by-step explanation:
Let n be the number of sides
Then sum of internal angles [tex]=(n-2)180[/tex]
——-(1)
It is given that one internal angle [tex]=135[/tex]
So sum of n equal internal angles [tex]=135n[/tex] ————(2)
From(1) and(2)
[tex](n-2)180=135n[/tex]
[tex]180n-360=135n[/tex]
[tex]180n-135n=360[/tex]
[tex]45n=360[/tex]
[tex]n=360\div45=8[/tex]
[tex]\bold{So \ the \ number \ of \ sides=8}[/tex]
Find the measures of angles a and b and of arc c Please
The measure of arc CD is equal to the measure of angle BCD, which is 240 degrees.
In the given diagram, we can see that angle ACD is a right angle, since it is formed by the radius AC and tangent CD at point C.
Therefore, angle BCD is equal to angle ACD, which is 90 degrees.
Since angle BCD is an exterior angle of triangle BCF, it is equal to the sum of the two remote interior angles, which are angles BFC and FCB.
Angle BFC is equal to angle ABC (since they are opposite angles), which is 60 degrees.
Similarly, angle FCB is equal to angle ACF, which is also 60 degrees.
Therefore, angle BCD is equal to angle BFC + angle FCB, which is 60 + 60 = 120 degrees.
Now, since arc CD is subtended by angle BCD, its measure is also equal to 120 degrees.
Hence, the measure of arc CD is 120 degrees.
Similarly, angles ACF and FCB are opposite angles in the cyclic quadrilateral AFCB, so they are supplementary. Therefore, angle FCB is equal to 180 - angle ACF,
Which is also 180 - 60 = 120 degrees.
Now we can apply the exterior angle theorem to find the measure of angle BCD. We have:
angle BCD = angle BFC + angle FCB
= 120 + 120
= 240 degrees
Finally, we can conclude that the measure of arc CD is equal to the measure of angle BCD, which is 240 degrees.
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The picture is below
The surface area of the rectangular prism graphed is given as follows:
10.12 ft³.
What is the surface area of a rectangular prism?The surface area of a rectangular prism of height h, width w and length l is given by:
S = 2(hw + lw + lh).
This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.
Converting the mixed numbers to decimal, the dimensions of the rectangular prism are given as follows:
1.3 ft, 1.4 ft and 1.2 ft.
Hence the surface area of the prism is given as follows:
S = 2 x (1.3 x 1.4 + 1.3 x 1.2 + 1.4 x 1.2)
S = 10.12 ft³.
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A fair coin is tossed 29 times. In how many outcomes do at least 3 tails occur?
a) 536,866,822
b) 1
c) 536,870,477
d) 536,870,476
e) 3,654
Answer:
The answer to your problem is, A. 536,866,822
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
The formula for calculating probability is expressed as:Probability = Expected outcome/Total outcomeIf a fair coin is tossed 29 times, the total number of outcomes will be expressed as: [tex]2^{29} = 536,870,476[/tex]
If at least 2 tails occur, the expected outcome will be 29 times
Pr(at least 2 tails occur) = [tex]2^{29} - 29 - 1[/tex]
Pr(at least 2 tails occur) = [tex]536,870,912 - 30 = 536,866,822[/tex]
Thus the answer to your problem is, A. 536,866,822
The Box Has A Volume Of 845. Find X
Answer: x=6.5
Step-by-step explanation: 13 x 10=130
845/130= 6.5
Which expression is equivalent to 5(2 + 1)?
Step-by-step explanation:
5(2 + 1) can be simplified using the distributive property of multiplication over addition, which states that a(b + c) = ab + ac. Using this property, we get:
5(2 + 1) = 5(2) + 5(1)
Simplifying the expression further, we get:
5(2) + 5(1) = 10 + 5 = 15
Therefore, 5(2 + 1) is equivalent to 15.