In one year, a school uses 12,370 pieces of white paper, 5,670 fewer pieces of blue paper than white paper, and 3,500 fewer pieces of yellow paper than blue paper. How many pieces of paper does the school use in all?

The amount of insurance that Travis will have to pay for the year is of:

$47.3.

He is renting the apartment, in which the belongings are worth $11,000, hence the insurance will be paid over that amount.

The number of hundredths in $11,000 is given by:

11000/100 = 110.

He pays an insurance of $0.43 for each $100 in belongings, hence the total insurance is of:

0.43 x 110 = $47.3.

There is no information regarding the value of the building, hence we are going to consider that he does not pay insurance for the building.

This insurance was taken from the table, as the apartment is in the city (downtown), and all brick, hence the coefficient is of 0.43.

The table with the rates is given by the image at the end of the answer.

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By applying probability method in a Poisson distribution, we find out that the probability that in a given year that area will be hit by fewer than 4 hurricanes is 0.1512 and the probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes is 0.4015.

It is given that -

On an average, Eastern United States is hit by 6 hurricanes in a year.

We have to find out -

(a) Probability that in a given year that area will be hit by fewer than 4 hurricanes

(b) Probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes

This is a case of probability which relates to Poisson distribution that provides probability of any random event that occurs within a specific time interval.

Let us assume the number of hurricanes is represented by [tex]X[/tex]. The Poisson distribution can be represented as -

[tex]P(X) = \frac{(lambda)^{X}*e^{-lambda}}{X!}[/tex] -------(1)

​Here, [tex]X\\[/tex] = 1,2,3,...

lambda = Average = 6 (in this question)

[tex]e[/tex] = 2.718

(a) Probability that in a given year that area will be hit by fewer than 4 hurricanes

[tex]P(X < 4) = P(X=0) +P(X=1)+P(X=2)+P(X=3)\\= \frac{6^{0}*e^{-6}}{0!}+\frac{6^{1}*e^{-6}}{1!}+\frac{6^{2}*e^{-6}}{2!}+\frac{6^{3}*e^{-6}}{3!}\\=0.0025+0.0149+0.0446+0.0892\\=0.1512[/tex]

Thus, the probability that in a given year that area will be hit by fewer than 4 hurricanes is 0.1512.

(b) Probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes

[tex]P(6\leq X\leq 8)=P(X=6)+P(X=7)+P(X=8)\\=\frac{6^{6}*e^{-6} }{6!}+\frac{6^{7}*e^{-6} }{7!}+\frac{6^{8}*e^{-6} }{8!}\\=0.1606+0.1376+0.1033\\=0.4015[/tex]

Thus, the probability that in a given year that area will be hit by anywhere from 6 to 8 hurricanes is 0.4015.

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Inequality which  is equivalent to 7x - 2y > 8  x>[tex]\frac{2y}{7}[/tex] + [tex]\frac{8}{7}[/tex] and y <[tex]\frac{7x}{2} -4[/tex]

Equations don't always need to have a "equal to" symbol on both sides to be balanced. Sometimes it can be about a "not equal to" relationship, meaning that something is superior to or inferior to another. In mathematics, an inequality is a relationship between two numbers or other mathematical expressions that results in an unequal comparison. Inequalities are the name given to certain algebraic mathematical expressions.

7x - 2y>8

-2y > 8 -7x

=y <[tex]\frac{7x}{2} -4[/tex]

or

7x >2y + 8

=x>[tex]\frac{2y}{7}[/tex] + [tex]\frac{8}{7}[/tex]

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The area of the square will be 100 square meters. Then the dimensions of the pen of the rectangle will be 10 by 10 which is a square.

What is the area of the square?

Let a be the side length of the square.

Then the area of the square will be

Area of the square = a² square units

Cathy has 40 meters of fencing to build a rectangular pen for her pets.

For the maximum area of the rectangle, the length and width should be congruent.

40 = 4a

a = 10

Then the area of the square will be

A = 10²

A = 100 square meters

The dimensions of the pen of the rectangle will be 10 by 10 which is a square.

Answer:

5/8

Step-by-step explanation:

Slope = rise/run

In this problem:

rise = 5

run = 8

Therefore, Slope = 5/8

The set R^2  with x ≤ 0 and y ≤ 0 is not a vector space.

The 10th axiom  cv∈ V does not hold

Let u, v and w be vectors in the vector space V, and let c and d be scalars. A set S is defined as a vector space if it satisfies the following conditions:

1. u+ v ∈V

2. v + w = w + v

3. (u + v) + w = u + (v + w)

4. v + 0 = v = 0 + v

5. v + (−v) = 0

6. 1v = v

7. c(dv) = (cd)v

8. c(v + w) = cv + cw

9. (c + d)v = cv + dv

10. c v ∈V

Given the set of all vectors x, y in R^2  with x ≤ 0 and y ≤ 0

If the scalar c is such that  c<0 then c v ∉R^2as cv>0

Therefore, the 10th axiom is not satisfied and thus the set  R^2 with x ≤ 0 and y ≤ 0 is not a vector space.

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The fact that Maria runs of a mile every 8 minutes means that we runs faster.

The speed is measured as the distance with respect to the time. This will be illustrated thus:

Maria runs of a mile every 8 minutes. Althea runs 2 miles every of an hour. It should be noted that an hour is 60 minutes. That means the she runs 1 mile in (60 / 2) = 30 minutes.

In this case, Maria runs faster. This is because of her speed.

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The value of x is -0.004624

[tex]log_{3} (x)+log_{x} (3)=2.5[/tex]

[tex]log_{3} (x)+\frac{log_{3} (3)}{log_{3} (x)} =2.5[/tex]

Let z= [tex]log_{3} (x)[/tex]

[tex]z+\frac{1}{z} = 2.5[/tex]

[tex]3z^{2} + z-2.5z=0[/tex]

z= -0.166

[tex]log_{3} (x)=-0.166[/tex]

x = -0.004624

What is a log?

The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which a set number, base b, must be increased in order to create a specific number x, is represented by the logarithm of that number. The logarithm, in its most basic form, counts the number of times the same factor appears when multiplied repeatedly; for instance, since 1000 = 10 x 10 x 10 = 103, its "logarithm base 10" is 3, or log10 (1000) = 3. When there is no possibility of a mistake or when the base is irrelevant, as, in big O notation, the logarithm of x to base b is written as loga (x), logb x, or even without the explicit base, log x.

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Answer:

Find value of n first to find out what the angle measures are.

Linear angles have a sum of 180°.

Angle EFG + Angle GFH = 180

4n + 15 + 2n + 39 = 180

6n + 54 = 180

6n = 126

n = 21

Substitute n into the angles.

Angle EFG = 4(21) + 15 = 99°

Angle GFH = 2(21) + 39 = 81°

The computed value of the test statistic is 4.65 or 4.7

Information given in the query:

significance level = 0.05

Sample size is 41 observations, and the correlation value is 0.60.

Now,

Using the formula, the test statistic to determine whether the population correlation is zero is provided.

:

t =[tex]r\sqrt{n-2} /\sqrt{1-r^{2} }[/tex]

on substituting the respective values, we get

test statics , t = 4.65

or

t=4.7

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Answer:

x=16

Step-by-step explanation:

x/2 = 8

Multiply both sides by 2

x=16

:] Hope this helps

the answer would be x=16

you would multiply both sides by 2

Step 1

An improper fraction is a fraction in which the numerator(top number) is greater than or equal to the denominator ( the bottom number)

Step 2

Conclude based on step 1

Hence

Therefore the right answer is an improper fraction

858 combinations are there to choose 10 players to take the field.

Pick 10 people from 13,

[tex]C^{13} _{10}[/tex] = [tex](^{13} _{2} )[/tex]

Splitting the combination,

[tex]C^{13} _{10}[/tex] = (13 × 12 × 11) ÷ 2

[tex]C^{13} _{10}[/tex] = 1716 ÷ 2

[tex]C^{13} _{10}[/tex] = 858 ways to pick the 10 to play.

There are 858 different methods to select 10 players to take the pitch.

The permutations of a set are the vaguely defined community of its members in arrangement or linear order, or the permutation of its components if the set is already collected. The act or procedure of adjusting the linear ordering of a sorted set is often named "permutation".

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The equation of the line that passes through the point (2,-3) and is parallel to the line 2x + 5y = 10 is y = - 2 / 5 x - 11 / 5

The equation of a line can be represented in various form such as point slope form, slope intercept form and standard form.

Therefore, let's find the equation of the line that passes through the point (2, -3) and is parallel to the line 2x + 5y = 10.

Hence, parallel lines have the same slope.

5y = -2x + 10

y = - 2 / 5 x + 2

Therefore, the slope of the line is - 2 / 5.

Let's find the y-intercept using the slope intercept equation.

y = mx + b

where

Hence, (2, -3)

-3 = - 2 / 5(2) + b

-3 = - 4 / 5 + b

b = - 3 + 4  /5

b = - 11 /  5

Therefore, the equation of the line is y = - 2 / 5 x - 11 / 5

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The required equation of the line y = - (2/5)x - 11/5 passes through the point (2,-3) and is parallel to the line 2x + 5y = 10.

We have to determine the line that passes through the point (2,-3) and is parallel to the line 2x+5y=10

Parallel lines are known to have the same slope.

Firstly, we have to find its slope by the given line

⇒ 5y = -2x + 10

⇒ y = - (2/5)x + 2

Thus, the slope of the line is - 2/5.

Let the required equation of the line is y - y₁ = m(x -x₁ )

Here x₁ = 3, y₁ = 1 and m = -2/5

y - 1 = (-2/5)(x - 3)

y - 1 = (-2/5)x + 3(-2/5)

y = - (2/5)x - 6/5 +1

y = - (2/5)x - 11/5

Therefore, the required equation of the line is y = - (2/5)x - 11/5.

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Answer: (B) Multiply by 2

Step-by-step explanation:

For every ounce of flour, 2 cupcakes can be made.

Answer:

106 seconds

Step-by-step explanation:

14.36-8=$6.36 $6.36=636 cents so 636/6=106 so 106 seconds

By translating trapezoid S′T′U′V 7 using the same translation rule, the location of T′ in the image trapezoid S′T′U′V′ is: D. (13, -1)

Generally, there are four (4) main types of transformation and these include the following:

In Geometry, a translation can be defined as a type of transformation which moves every point of a geometric figure or object in the same direction, as well as for the same distance.

By critically observing the graph (see attachment), we can logically deduce that rectangle JKLM was transformed to rectangle J'K'L'M' by translating it 7 units to the right and 5 units up.

Next, we would apply the same translation rule to T' which is located at point (6, -6) as follows:

(x, y)                →        (x + 7, y + 5)

Point T (6, -6)     →       Point T' = (6 + 7, -6 + 5) = (13, -1)

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Complete Question:

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.

What will be the location of T′ in the image trapezoid S′T′U′V′? (10, −1) (10, 1) (13, 1) (13, −1)

The volume of the given triangular prism to the nearest tenth is; 171.5 in³

The volume of a triangular prism of the kind given to us is expressed as;

Volume of a triangular prism = area of base triangle × length of the prism

Now, the formula for area of base triangle is;

Area = 1/2 * base * height

From the question, we have;

base = 9.8 in

height = 14 in

Now, the length of prism is 2.5 inches. Thus;

Volume of prism =  (1/2 * 9.8 * 14) * 2.5

Volume of prism = 171.5 in³

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Answer:

2. y = x + 13

Step-by-step explanation:

Your points are: (-4, 9) and (2, 15)

To write an equation of a line from two ordered pairs, you first find the slope (m)

To find the slope, you do y2 - y1 / x2 - x1

(-4 is x1, 9 is y1) (2 is x2, 15 is y2)

Plug in the numbers:

15 - 9 / 2 - (-4) ----------------------> 6/6 ----------> 1, m = 1

The next equation we'll use is y - y1 = m(x - x1)

and slope intercept form is y = mx + b

Pick either ordered pair to plug in the coordinates, but this time I'll use

(2, 15) -----> 2 is x1, 15 is y1

y - 15 = m(x - 2)

Since we already know the slope, m, we can simplify the equation.

y - 15 = 1(x - 2)

Distributive property

y - 15 = x - 2

Add 15 on both sides,

y = x + 13

Answer: y = 1/6x + 1

Step-by-step explanation:

12y - 2x= 12

    +2x  +2x

12y =  12 + 2x

DIVIDE BOTH SIDES BY 12

y = 1 + 1/6x

THEN PUT IN SLOPE INTERCEPT FORM

y = 1/6x + 1

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 12y - 2x = 12[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 12y = 2x + 12[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{2}{12} x + \frac{12}{12} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: y = \frac{1}{6} x + 1[/tex]

Slope = 1/6, y - intercept = 1

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

The allocation for product defined and product not defined are

PD(product defined)

PND

This is further explained below.

Generally, the rule for matrix multiplication

no. of columns for the first matrix should be equal to no. of rows in the second matrix" that is if

1st matrix has =m * n

2nd has =k *l

Therefore

m=l

L=2*2,  M=4*2,

The matrix is defined as the row and the column tally

M=4*2 and L=2*2

The matrix is not defined as a row and the column do not tally

In conclusion, Q=2*1, and P=2*2 equal so the product is defined.

P=2 *2,M=4 *2,  equal so product is defined.

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The output of the linear function is -n+3 when the input is n.

A linear equation is given by ,

f(x) = mx+ c   ---(1)

From the table,

x value increases by 1

y value decreases by 1

Substituting slope m = - 1 in (1)

f(x) = -x+ c  ---(2)

Substitute  (1, 2) in (2)

2 = -1 +c

c = 2 + 1

c = 3

Substitute slope m and c in (2)

f( x ) = - x + 3

When input is n output is given by,

f(n) = - n + 3

The output of the linear function is -n+3 when the input is n.

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Answer:

find search bar

Step-by-step explanation:

see answer

Answer:

1 / 121

Step-by-step explanation:

4^0 / 11^2

= 1 / 11^2

= 1 / 121

Answer:

1/4

Step-by-step explanation:

Hope this helps!

At least 84 blue marbles and 7 red marbles are there in the bag.

Let the bag contain x red marbles therefore there are 12x blue marbles.

Therefore according to the question,

12x + x = 100

13x = 100

= 100/13

=7.69 approx

Which is not possible as the no,of marbles cannot be in decimals therefore there must be atleast 7 marbles of red colour and 84 blue marbles.

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The researcher makes use of stratified sampling method to select a random sample from each of the three groups mentioned.

It is given to us that -

A researcher separated the people in a population into three political categories:

Democrat

Republican

or, Independent.

It is also mentioned that she then selected a random sample from each of these three groups.

We have to determine the kind of sample she selected.

In this case, stratified sampling is used by the researcher to select a random sample.

Stratified sampling is a type of probability sampling method where the total population is segmented into homogenous groups to successfully complete the sampling technique.

Here we see that the researcher has separated the total population into homogenous groups of democrat, republican, or independent.

From these homogenous groups, she selected random samples.

Thus, the kind of sample selected by the researcher is stratified sampling.

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