Two libraries donated books to a local school. One library donated 786 books and the other
library donated 1,245 books. The school divided the books evenly among 11 classrooms.
Estimate how many books each classroom received.
Choose 1 answer:
B
200 books
Donat
50 books

Answer:

y = [tex]\frac{1}{5}[/tex] x - 5

Step-by-step explanation:

y = mx +b  You have to find the slope and the y intercept

slope:

I used the two points on the graph (0,-5) and (5,-4)  The slope is the change in y over the change in x.  An ordered pair is given in the form (x,y)

[tex]\frac{- 4 - - 5}{5-0}[/tex] = [tex]\frac{-4 + 5}5}[/tex] = [tex]\frac{1}{5}[/tex]

or you could just look at the two points.  If you start at (0,-5) and go straight up one and the then go right 5 spaces, you will be at the point (5,-4) [tex]\frac{1}{5}[/tex]

The y intercept for the b is where the line crosses the x axis.  It crosses at the point (0,-5)  The -5 is the b part.

Yes, it is correct. (a) congruent by SSS

                             (b) congruent by SAS

                             (c) congruent by ASA

(a) Given in figure,

    MN = OP

    ∠MNO = ∠NOP

    ON = ON (Common)

   Hence, ΔMNO ≅ ΔNOP by SAS.

(b) Given in figure,

     UV = XY

    ∠UVW = ∠XYZ

    UW = XZ

   Hence, ΔUVW ≅ ΔXYZ by SAS.

(C) Given in figure,

     ∠ABC = ∠EDF

     BC = DE

    ∠ACB = ∠DEF

   Hence, ΔABC ≅ ΔDEF by ASA.

Therefore, all are congruent.

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Answer:

The first measurement is known as the "P-R interval" and is measured from the beginning of the upslope of the P wave to the beginning of the QRS wave. This measurement should be 0.12-0.20 seconds, or 3-5 small squares in duration.

Step-by-step explanation:

...

Answer: D. The polynomial is irreducible.

From the explanation below we do not get polynomial .

Step-by-step explanation:

A.(x+3)(x-6)

=  x^2-6x+3x-18

=x^2-3x-18

B.(x-3)(x+6)

 =(x^2+6x-3x-18)

  =x^2+3x-18

C.(x+3)(x^2-4x+6)

  =x^3-4x^2+6x+3x^2-12x+18

  =x^2-x^2-6x+18

D.The polynomial is irreducible

The height of the triangle is 15 feet.

A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the interior angles of a triangle add up to 180 degrees. It is the polygon with the fewest sides.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest side of the three sides, known as the hypotenuse, is the third side.

The formula for the area of a right-angle triangle is A = (½)×b×h square units.

Let the height of the triangle be h

Given:- The area (A) of the triangle is 120 ft^2.

            The base (b) of the triangle is 16 feet.

From the formula, we know that area of the triangle is:-

A = (½)×b×h

By substituting the values of A and b

[tex]120=\frac{1}{2}*16*h\\ h=(120*2)/16\\h=15[/tex]

Hence the height of the triangle is 15 feet.

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Answer:

To do percentages with fractions,

divide the numerator by denominator to get a decimal,

so for example, your question 56/80.

56/80 is 0.7 decimal, and then to make it percent,

we multiply by 100,

how does that work?

you move two places to the right because 100 has two zeros

so 0.7 would be 70,

therefore the percent of 56/80 would be 70%

Good day ml! <3

The expression that represents the statement "the product of a number and eight" is 8x.

Expression:

Expression means the mathematical statement that consists of  minimum of two numbers/variables and at least one math operation(addition, subtraction, multiplication and division) in it.

Given,

The given statement is "the product of a number and eight".

Now, we have to find the suitable expression for this statement.

In order to find the suitable expression, we have to divide the given statement and then we have to identify the keyword in it.

By using those keywords, we have to solve it.

In the given statement we have identify the following:

product

number

eight

Here the product refers the multiplication

number is any unknown number that is x.

eight refers the number 8.

When we combine these keywords we can get the expression 8x.

Therefore, the resulting expression is 8x.

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The probability that a card drawn randomly from a standard deck of 52 cards is a red queen is 1/26 or 0.038461. The result is obtained from the ratio of the number of red queen to 52 cards.

Probability of an event can be expressed as

P(A) = n(A) / n(S)

Where

In case a card drawn randomly from 52 cards, what is the probability that it is a red queen?

The four suits for a standard deck of 52 cards are hearts, diamonds, clubs, and spades of 13 cards each. The hearts and diamonds are red. While, the clubs and spades are black. The 13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

From that information, the number of red queen in a standar deck of 52 cards is 2 cards. So,

The probability of drawing a red queen is

P(A) = n(A) / n(S)

P(A) = 2/52

P(A) = 1/26

P(A) = 0,038461

Hence, the probability that a card drawn is a red queen is 1/26 or 0,038461.

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Elena will need 180 more bats

Let she bats  b more needs

Total bats =  110 + b

Base hits = 24 + 0.35 b

From the question, we have

( 24 + 0.35b) / (110 + b) = 0.300

24 + 0.35b = 33 + 0.3 b

0.05 b = 9

b = 9 / 0.05 = 180

Subtraction:

The process of removing items from a collection is represented by subtraction. Subtraction is represented by the minus sign. If, for instance, there are nine oranges stacked together (as shown in the above figure), and four of those oranges are then moved to a basket, the stack will contain nine minus four oranges, or five oranges. As a result, 9 minus 4 equals 5, or the difference between 9 and 4. Incorporating subtraction into other types of numbers is possible in addition to using it with natural numbers.

The symbol for subtraction is the letter "-". The three numerical elements that make up the subtraction operation are the minuend, the subtrahend, and the difference. As the first integer to be subtracted from in a subtraction phrase, a minuend is the first number in the subtraction process.

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Answer:  81

Step-by-step explanation:

Let's start with what we know:

Time spent each evening = 1/3 of an hour

Time spent: 27

We need to turn the time spent into minutes so We will do

27 * 60 = 1620 minutes

As well as we need to turn the 1/3 of an hour into minutes so we will do

1/3 * 60 = 20 minutes

So now we have these numbers

You can pick any letter but I will pick x

We can do 20x = 1620 (Time spent times number of evenings equals time spent)

Then after that you just divide 20x/20 and 1620/20

Then getting x = 81.

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The equation of the line that is parallel to the line y = -x + 10 is y = -x - 13.

Given table:

x            y

0           10

4           6

8           2

12         -2

slope m = 6 - 10 / 4 - 0

= -4/4

m = -1

substitute in y=mx+c

y = -x+c passes through (0,10)

10 = -0 + c

c = 10.

y = -x + 10.

here m = -1 and passes through (-3,-10)

y = mx +c

-10 = -1(-3)+c

-10 = 3 + c

c = -13

y = -x + (-13)

y = -x - 13.

Therefore the equation of the line that is parallel to the line y = -x + 10 is y = -x - 13.

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The angle amount of m is 128⁰

Angle can also refer to the length of a rotation or an angle. The Greek word , which means "crooked, curled," and the English word "ankle," are related words. Both stem from the Proto-Indo-European root  which means "to bend" or "bow," in some way.

A plane angle, according to Euclid, is the inclination to each other of two intersecting lines in a plane that are not perpendicular to one another. Proclus asserts that an angle must be either a quality, a number, or a connection. Eudemus used the first idea, viewing an angle as a departure from a straight line; Carpus of Antioch used the second idea, viewing an angle as the distance or space between intersecting lines; and Euclid used the third idea. Vertical angles, opposing angles, or vertically opposite angles refer to a pair of angles that are directly across from one another and are created by two straight lines meeting to form a "X". Vert is the shorthand for them. opp.

The vertical angle theorem states that angles that are vertically opposing are equal. The assertion shown that since both of a pair of vertical angles are supplementary to both of the neighboring angles, the vertical angles are equal in measure, according to Eudemus of Rhodes' attribution of the proof to Thales of Miletus. When Thales visited Egypt, it is recorded in history[9] that he noticed the Egyptians measuring the vertical angles whenever two intersecting lines were drawn to ensure that they were equal. Thales came to the conclusion that one might establish

4x+6=7x-21

3x=27

x=9

x+x+42+42=360

2x+84=360

x=128⁰

Therefore, the angle amount of m is 128⁰

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The curve -3[tex]x^{2}[/tex] + 18x +3 has a maximum value of 30 at x = 3

In mathematics, a point at which a function’s value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. if it is merely greater than any nearby point, it is a relative, or local, maximum. In calculus, the derivative equals zero or does not exist at a function’s maximum point.

Differentiate f(x) =  -3[tex]x^{2}[/tex] + 18x +3 ,

we have dy/dx = -6x + 18.

at turning point, dy/dx = 0

-6x + 18 = 0

6x = 18

x =18/3

x = 3

to check if x = 3 is a minimum or maximum point, we take the second derivate

which is  [tex]\frac{d^{2}y }{dx^{2} }[/tex] = -6

since  [tex]\frac{d^{2}y }{dx^{2} }[/tex] < 0

F(x) is a maximum,

so maximum value of x, we substitute x = 3 into the function

f(x)  = -3[tex](3)^{2}[/tex] + 18(3) + 3

f(x) = 30

In conclusion, the maximum value for the function is 30 at x = 3

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The end behavior of given polynomial function f(x) = 5 + 7x - 9x^2 + 4^3,

as x → -∞, f(x) → -∞

as x → ∞, f(x) → -∞

In this question, we have been given a polynomial function

f(x) = 5 + 7x - 9x^2 + 4^3

We need to  state the end behavior of f(x).

The graph of f(x) is as shown below.

We can observe that as x tends to -∞, f(x) → -∞

Also, as x → ∞, f(x) → -∞

We know that the end behavior of polynomial function is determined by the degree of the polynomial and the leading coefficient.

For given polynomial function, the degree of this polynomial is 2.

The leading coefficient is -9

We know that for polynomial function of even degree, the ends of the function graph point in the same direction.

Therefore, the end behavior of given polynomial function f(x) = 5 + 7x - 9x^2 + 4^3,

as x → -∞, f(x) → -∞

as x → ∞, f(x) → -∞

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Dan has money left is £30.

Given:

Dan spends 3/4 of his wages on rent and 1/8 on food.

If he makes £240 per week.

Money left =  240 - 240* 3/4 - 240 * 1/8

= 240 - 60*3 - 240/8

= 240 - 180 - 30

= 60 - 30

= 30.

Therefore Dan has money left is £30.

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Using the concepts of statistics, we got that at least 79 is the minimum size of the sample needed in order to have a margin of error of two minutes or less, when we need to construct a 95% confidence interval for the mean length of time.

We have mean as  357.9minutes and standard deviation as 20.18 minutes.

To have the margin error 2 minutes or less than it we need to take

Z-score of the given sample distribution which is given by:

                Z=(X-μ)/σ

Here ,μ=357.9,σ=20.18,X=?,Z=95/100

=>95/100=(X-357.9)/20.18

=> -0.95×20.18=X-357.9

=>X=-357.9+0.95×20.18

=>X=-357.9+19.171

>X=-338.729

When X=-338.729,the p score is around 79.

Hence, when I want to construct a 95% confidence interval for the mean length of time of the flight in 2018 based on a sample of flights in 2018., the minimum size of the sample needed in order to have a margin of error of two minutes or less is 79.

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The solution to the inequality 6 + t ≤ 13 is given as follows:

t ≤ 7.

An inequality is solved similarly to an equality, isolating the variable of which the solution we want to find.

The difference, of the inequality compared to an equality, is that the solution contains an infinity number of values, instead of a finite number of values. This is because the solution of an inequality is composed by a range of values in one of the infinity number sets.

For this problem, the inequality is given as follows:

6 + t ≤ 13

Hence the solution for variable t is found isolating it as follows:

t ≤ 13 - 6 (moving every term that is not the variable to the opposite side)

t ≤ 7.

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Step-by-step explanation:

2.

it is a square !

what do we know about squares ?

first of all, they are a special rectangle, where length = width, and therefore all 4 sides are equally long.

and secondly, as they are a form of rectangle, every inner angle is 90°.

so,

6x - 12 = 90

6x = 102

x = 102/6 = 17

therefore,

CD = x + 15 = 17 + 15 = 32

many greetings to your teacher, CD is a side, a length, and NOT an angle, so it is NOT measured in degrees (°).

since it is a square and all sides are equally long,

AD = CD = 32

3.

it is a rectangle.

so, it has 4 sides consisting of 2 pairs of equally long sides. that means there are 2 equally long side we call length, and 2 equally long sides we call width.

these equally long sides are always opposite of each other.

that means

2x - 52 = x - 2

x - 52 = -2

x = -2 + 52 = 50

Answer:

Gift aid  68.38 £

Step-by-step explanation:

Proportion:

273.50 £  -    100%

X £            -      25%

Gift aid:

X = 273.50·25% / 100% = 273.50 / 4 ≈ 68.38 £

Answer:75

Step-by-step explanation:

since there are 15 students and they each need 5 plates you just do 15x5 and get 75

Answer for Part I: x² - 3x - 10

Step-by-step explanation:

    The FOIL method means to multiply the "First, Outside, Inside, and Last" in order of the terms. See attached for a visual and the work behind the answer.

    Using this method, we end up with;

                           x² - 3x - 10

The product of prime factors of 900 in index form is [tex]2^{2} *3^{2} *5^{2}[/tex] and the ascending order of prime factors is 2, 3 and 5.

According to the question,

We have the following number:

900

This number needs to prime factorized. So, first it can be divided by 2 (450), again 450 can be divided by 2 (225), it can be divided by 3 (75), it can again be divided by 3 (25), this can be divided by 5 (5) and it will be finally divided by 5.

So, we have the following product for the prime factors of 900:

2*2*3*3*5*5

In index form, it will be written as follows:

[tex]2^{2} *3^{2} *5^{2}[/tex]

Now, we know that in ascending order, numbers are arranged from smallest to largest.

So, we have the following order:

2, 3 and 5

Hence, the product of prime factors of 900 in index form is [tex]2^{2} *3^{2} *5^{2}[/tex] and the ascending order of prime factors is 2, 3 and 5.

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The correct statement would be older men tend to have lower muscle density, so the correlation between age and muscle density in older men must be negative.

Increased time studying sets of tea time is associated with higher G. P.A. (Grade point average) This is positive. More time studying G. P. A. Life expectancy increases as body weight decreases. As the weight goes down the life expectancy goes up.

Muscle mass (quantity) is highly correlated with survival in hospitalized patients with advanced cancer, whereas muscle density (quality) is associated with patients’ symptoms, health care use, and survival, according to a group of researchers

In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although in the broadest sense, "correlation" may indicate any type of association, in statistics it usually refers to the degree to which a pair of variables are linearly related. Familiar examples of dependent phenomena include the correlation between the height of parents and their offspring, and the correlation between the price of a good and the quantity the consumers are willing to purchase, as it is depicted in the so-called demand curve.

Your body shape changes naturally as you age. You cannot avoid some of these changes, but your lifestyle choices may slow or speed the process.

The human body is made up of fat, lean tissue (muscles and organs), bones, and water. After age 30, people tend to lose lean tissue. Your muscles, liver, kidney, and other organs may lose some of their cells. This process of muscle loss is called atrophy. Bones may lose some of their minerals and become less dense (a condition called osteopenia in the early stages and osteoporosis in the later stages). Tissue loss reduces the amount of water in your

The amount of body fat goes up steadily after age 30. Older people may have almost one third more fat compared to when they were younger. Fat tissue builds up toward the center of the body, including around the internal organs. However, the layer of fat under the skin gets smaller.

The tendency to become shorter occurs among all races and both sexes. Height loss is related to aging changes in the bones, muscles, and joints. People typically lose almost one-half inch (about 1 centimeter) every 10 years after age 40. Height loss is even more rapid after age 70. You may lose a total of 1 to 3 inches (2.5 to 7.5 centimeters) in height as you age. You can help prevent height loss by following a healthy diet, staying physically active, and preventing and treating bone loss.

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The graph has no vertex and the transformations from the parent function are

By definition, the vertex of a function is the maximum or the minimum of the function

From the graph, we can see that the graph only has a turning point; it has no maximum or minimum

So, we can conclude that there is no vertex in the graph

Here, we have:

We can see that:

The graph is 4 units to the left of the origin and 2 units below the origin

This means that the function has been shifted down and shifted to the left

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Answer: [tex]h=\frac{S}{2πrh}[/tex]

Step-by-step explanation:

= Solve S = 2πrh:

= [tex]h=\frac{S}{2πrh}[/tex]

Answer:

5 or (-2,5)

Step-by-step explanation:

|2x-3|<7

2x-3<7

2x=10

x=5

Answer:

x < 5

Step-by-step explanation:

2x - 3 + 3 < 7 + 3

7 + 3 = 10

-3 + 3 = 0

= 2x + 0

= 2x

2x < 10

2x/2 < 10/2

10/2 = 5

2x/2 = 2/2

= x (We assume x = 1)

= 5/1

= 5

Therefore,

x < 5

Hope this helps!

The correct option is B "Models n independent replications of a Bernoulli experiment each with a probability p of success".

It is a frequency distribution of the number of successful outcomes that could occur in a set number of trials with an equal chance of success. In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p. When each trial has the same probability of achieving a given value, the number of trials or observations is summarized using the binomial distribution. The probability of observing a specific number of successful outcomes in a specific number of trials is determined by the binomial distribution.

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Answer:

7 cents:$0.45

Step-by-step explanation:

(whatever you do to one side you do the same to the other)

35 divided by 5= 7

2.25 divided by 5= 0.45

The unit rate for the given situation is 29 students per classroom.

What is the unit rate?

A unit rate is described as a ratio comparing the first quantity to one unit of the second quantity.

Given situation is 87 students in 3 classrooms.

So, the unit rate  [tex]= \frac{87}{3}[/tex]  students/classroom

                            [tex]= 29[/tex] students per classroom

Hence, the unit rate for the given situation is 29 students per classroom.

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