Visitors at a library on Wednesday were surveyed about their
favorite types of fiction from the three choices shown. If there are
400 visitors at the library next week, how many do you estimate
will choose mystery as their favorite type of fiction?
Favorite Type of Fiction
Mystery
Science Fiction
Romance
Number of Votes
21
15
14
1. What information is described in the table?

Step-by-step explanation:

38<4x+3+7-3x

4x+3+7>38

4x+3+7<3x

X>7

X<-10

= Ø

Answer:

Step-by-step explanation:

-5/-5

The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.

What is a good example of a line's slope?

The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.

A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.

B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.

C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.

D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.

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Reasonably simple series with a tail that is thicker than the tail of the given Σ 1n × >> Σ (1/2), Σ (1/3)^n has a thicker tail than Σ (1/2)^n.

One possible series with a thicker tail than Σ (1/2)^n is the series Σ (1/3)^n, which can be written as:

1 + 1/3 + 1/9 + 1/27 + 1/81 + ...

To see that this series has a thicker tail than Σ (1/2)^n, we can compare the nth terms of the two series:

(1/2)^n = 1/2 × 1/2 × ... × 1/2 (n factors)

(1/3)^n = 1/3 × 1/3 × ... × 1/3 (n factors)

Since 1/2 > 1/3, the nth term of Σ (1/2)^n is greater than the nth term of Σ (1/3)^n for all n. However, the sum of the first k terms of Σ (1/3)^n is:

1 + 1/3 + 1/9 + ... + (1/3)^k

= (1 - (1/3)^k) / (1 - 1/3)

= (3/2) (1 - (1/3)^k)

which approaches 3/2 as k approaches infinity. In contrast, the sum of the first k terms of Σ (1/2)^n is:

1 + 1/2 + 1/4 + ... + (1/2)^k

= (1 - (1/2)^(k+1)) / (1 - 1/2)

= 2 (1 - (1/2)^(k+1))

which approaches 2 as k approaches infinity. Therefore, the series Σ (1/3)^n has a thicker tail than Σ (1/2)^n.

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The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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Answer:

500,000

Step-by-step explanation:

Answer:

500,000

hope this is right

Answer:

what grade is this for?

Step-by-step explanation:

Answer: The question as written is incomplete, but square root of 82 is between the whole numbers 9 and 10, whose squares are 81 and 100

Answer: D: Square Root Of 5

Step-by-step explanation: 30/6 is 5, now fill in the sqrt symbol. Hope this helped. (This problem was one of the simpler, friendlier numbers.)

Answer:

A, C, E

Step-by-step explanation:

By analyzing the graph, we can see that the roots are \(-2\) and \(-4\).

We now want to find all equations of the form \((x-(-2))(x-(-4))=(x+2)(x+4)=0\).

This immediately gives C as 1 answer.

We can expand our equation to find other possible solutions!

By the FOIL method: \((x+2)(x+4)=(x)(x)+(2)(x)+(4)(x)+(2)(4)=x^2+6x+8=0\)

We can then divide both sides of the equation to find that \(-x^2-6x-8=0\), so A is another answer.

We can complete the square on \(x^2+6x+8\) to find the last possible solution.

\(x^2+6x+8=x^2+6x+9-9+8=x^2+6x+9-1=(x+3)^2-1=0\).

We can then multiply both sides of the equation by \(4\) to find that \(4(x+3)^2-4=0\), so E is the last answer.

The proof that the other answers don't work is left as an exercise.

So, the answers are A, C, and E, and we're done!

Answer:

its going to be letter b  because  2 and  4 well the x intercepts those  

Step-by-step explanation:

The solution to the equation is given as \(a = \frac{2n}{(d + g)}\)

The equation is given as 2n= a(d+g), we are to make a the subject of the equation

in order to have a stand on its own we would have to divide the two sides of the equation by d + g

hence we would have:

\(\frac{2n}{(d + g)} =\frac{a(d+g)}{(d+g)}\)

this would cancel out on the right hand side such that we would have:

\(\frac{2n}{(d + g)} =a\)

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Answer:

the answer 253. 17x17 289-36= 253

Answer:

theres nothing there

Step-by-step explanation:

Answer:

There is nothing attatched sorry

Answer:

275

Step-by-step explanation:

24 g/cm³ is equivalent to 24,000 kg/m³.

How to convert and what is meter cube?

To convert 24 g/cm³ to kg/m³, we can use the following steps:

Convert grams (g) to kilograms (kg) by dividing by 1000, since there are 1000 grams in a kilogram:

24 g/cm³ = 24/1000 kg/cm³

Convert cubic centimeters (cm³) to cubic meters (m³) by dividing by 1,000,000, since there are 1,000,000 cubic centimeters in a cubic meter:

24/1000 kg/cm³ = (24/1000) / (1/1,000,000) kg/m³

Simplifying the expression in the right-hand side of the equation, we get:

(24/1000) / (1/1,000,000) kg/m³ = 24,000 kg/m³

Therefore, 24 g/cm³ is equivalent to 24,000 kg/m³.

A meter cube (m³) is a unit of volume in the International System of Units (SI) which is defined as the volume of a cube with edges of 1 meter length. This unit is used to measure the volume of objects or substances that occupy a three-dimensional space.

One meter cube is equivalent to the volume of a cube with each side measuring 1 meter. It is also equivalent to 1,000 liters or 1,000,000 cubic centimeters.

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Answer: D

Suppose that 35\%35%35, percent of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 303030 students from the population of 750750750 students at the school and finds that 40\%40%40, percent of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this.

Step-by-step explanation: Khan Academy Explanation

The mean and standard deviation is given by -

μ = 0.35 and σ = 0.09.

Given is that suppose that 35% of students in a school can sing their national anthem correctly. The music teacher takes an SRS of 30 students from the population of 750 students at the school and finds that 40% of students sampled can sing their national anthem correctly. The teacher plans to take more samples like this. Let {p} represent the proportion of a sample of 30 students in the school who can sing their national anthem correctly.

        where -

        {σ} = population standard deviation

        {N} = the size of the population

        x{i} = each value from the population

        {μ} = the population mean

The mean and standard deviation is given by -

μ = 0.35

σ = √(0.35)(0.65)/(30) = 0.48/5.5 = 0.09

σ = 0.09

Therefore, the mean and standard deviation is given by -

μ = 0.35 and σ = 0.09

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Answer: 35

Step-by-step explanation:

\(f(4)=7(4+2)-7\\\\f(4)=7(6)-7\\\\f(4)=7(5)\\\\f(4)=35\)

The correct option is C ; individual variables data , The X-bar chart depicts how the mean or average varies over time, whereas the R chart depicts how the subgroup range changes over time.

It's also used to track the effectiveness of process improvement ideas. Individuals are the individuals or things that are being studied. A variable is a property of a person that may be measured or observed. For example,

A variable is defined as any property, number, or amount that can be measured or counted. A variable is also known as a data item. Variables include age, gender, company revenue and costs, country of birth, capital expenditure, class grades, eye color, and vehicle type.

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The ruler postulate is that A. the distance between two points can be determined by the absolute value of the difference of the real number values of the two points.

The set of points on a line can be arranged in such a way that the set of real numbers and the set of points correspond exactly, and the distance between any two points is equal to the absolute value of the difference between the corresponding numbers.

Therefore, the ruler postulate is that the distance between two points can be determined by the absolute value of the difference of the real number values of the two points.

In conclusion, the correct option is A.

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Answer:

i dont know that try looking it up

The rate of the speeding car is 0.493.

We have,

The police car is at 80 mph and it is 44 yards from the intersection, is increasing at 45 mph, while the other car is 117 yards away from the intersection.

So, Rate of speeding car

= (45- 80)/ (117- 44)

= -35/(-73)

= 35/73

= 0.493

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Answer:

Option B

Step-by-step explanation:

The figures are made out of squares.

\(\text {Formula for area of a square: } A =s^2\\s-\text {Length of side.}\)

Square 1 (the gray square):

The side measure is 4 cm.

\(A = 4^2 = 16cm^2\)

Square 2 (white square):

The side measure is 2 cm.

\(A=2^2=4cm^2\)

Subtract the area of the white square from the gray square to get the area of the shaded region:

\(16 - 4 =12\)

The shaded region is \(12cm^2\).

Option B should be the correct answer.

Brainilest Appreciated!

Answer:

events at A and B are independent because P(A)(B)≠P(A)

Step-by-step explanation:

to find f(5)   in f(x) , just put in '5' where 'x' is in the equation

f(5) = 3 (5) + 2 = 17

Answer:

f(5) = 17

Step-by-step explanation:

Let's evaluate the function for f(5)

Insert 5 everywhere x appears:

Therefore f(5) = 17

Answer:

54 and 2

Explanation

Given the expression;

To know which will cross cancel, we can rearrange to have;

From the simplification, we can see that 2 and 54 cross cancel from the expression. Hence the required answer is 54 and 2

The domain and the range of the function are given as follows:

The function approaches y = 0 as x approaches positive infinity.

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Answer:

-3 is not in the domain of f°g

Step-by-step explanation:

f°g=f(g(x))

f(x) = -4(√x-1)+8

*Remember that √x-1 has to be larger than 0

since √-3-1 = √-4, -3 is not in the domain of f°g

Answer:

Hello There!

~~~~~~~~~~~~~~~~~

Your answer would be (B)

Step-by-step explanation:

It is the only one that shows an angle bisector. An angle bisector is a line that split an angle into two.

Hope this helped you! Brainliest would be nice!

☆_____________❤︎______________☆

Answer:

Step-by-step explanation:

Hello there so

n plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.[1] Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane. Angles are also formed by the intersection of two planes in Euclidean and other spaces. These are called dihedral angles. Angles formed by the intersection of two curves in a plane are defined as the angle determined by the tangent rays at the point of intersection. Similar statements hold in space, for example, the spherical angle formed by two great circles on a sphere is the dihedral angle between the planes determined by the great circles.

Angle is also used to designate the measure of an angle or of a rotation. This measure is the ratio of the length of a circular arc to its radius. In the case of a geometric angle, the arc is centered at the vertex and delimited by the sides. In the case of a rotation, the arc is centered at the center of the rotation and delimited by any other point and its image by the rotation.

The word angle comes from the Latin word angulus, meaning "corner"; cognate words are the Greek ἀγκύλος (ankylοs), meaning "crooked, curved," and the English word "ankle". Both are connected with the Proto-Indo-European root *ank-, meaning "to bend" or "bow".[2]

Euclid defines a plane angle as the inclination to each other, in a plane, of two lines which meet each other, and do not lie straight with respect to each other. According to Proclus an angle must be either a quality or a quantity, or a relationship. The first concept was used by Eudemus, who regarded an angle as a deviation from a straight line; the second by Carpus of Antioch, who regarded it as the interval or space between the intersecting lines; Euclid adopted the third concept, although his definitions of right, acute, and obtuse angles are certainly quantitative.[3]

Answer:

x= - 52

Step-by-step explanation:

we need to multiply  both sides by 4 to leave the x alone

so

\(\frac{-x}{4} *4= 13*4\\-x= 52\\\frac{-x}{-1}=\frac{52}{-1}\\ x=-52\)