Two is subtracted from a number, and then the difference is divided by 3. The result is 30. Find the number

Hence, the Standard deviation, sigma is 2, and Variance =4.

What is the sample size?

Given a sample of size 20.

N=20

(i) Mean= sum of terms/no. of terms

=456/20

Mean = 22.8

(ii) Median = Sum of middle numbers/2

20 and 21 are the middle numbers

= 20+21/2

Median =20.5

(iii) Variance=(xi-mean)^2/N-1

787.2/19

variance=41.431

(iv) Sum of squares=xi-xbar-Xi)^2

=32

(v) variance and standard deviation(population)

sigma^2=(xi-mu)^2/N

=32/8

sigma=2

Hence, the Standard deviation, sigma is 2, and Variance =4.

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MATHEMATICALLY 10 LESS THAN 73 MEANS:

WHAT IS THE DIFFERENCE BETWEEN 10 AND 73

[tex]73 - 10 \\ = 63[/tex]

ATTACHED IS THE SOLUTION

Answer:

o is the correct answer of this question

The slope of the line that is shown in the diagram above is calculated as: 2.

To find the slope of a line, m, use the formula given below:

Using two points on the given line, (0, 1) and (-1, -1), find the slope of the line:

Let,

(0, 1) = (x1, y1)

(-1, -1) = (x2, y2)

Slope (m) = change in y / change in x = (-1 - 1) / (-1 - 0)

Slope (m) = -2/-1

Slope (m) = 2

Therefore, the line that is shown in the diagram above has a slope that is determined as: 2.

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The height of the tree which John wants to measure is equal to 64.94 feet.

What is trigonometry ?

Trigonometry is the branch of mathematics which examines the relationship between triangle sides and angles as well as the relevant functions of any angle.

It is given that John wants to measure the height of a tree. He walks 100 feet from the base of the tree and looks up. Say , point B is the base of triangle and C is the point up to which he has walk then , BC will be length of base.

i.e.,

Length of base (B) = 100 feet.

It is given that angle from ground to top of tree (say θ) is 33°

We know that tangent (tan θ) is ratio of height to the base of object. So,

tan θ = [tex]\frac{H}{B}[/tex]

tan 33° = [tex]\frac{H}{100}[/tex]

So , the height of tree will be :

H = 100 × tan 33°

H = 100 × 0.6494

H = 64.94 feet

Therefore , the height of the tree which John wants to measure is equal to 64.94 feet.

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Answer:

trey and his friends can share 2.4 oz of applesauce in a 12 oz jar

Step-by-step explanation:

12÷5=2.4

If trey and his four friends equally share a 12 ounce jar of apple sauce.  The [tex]2\frac{2}{5}[/tex] applesauce, in ounces, does each person receive

A division is a process of splitting a specific amount into equal parts.

Given,

trey and his four friends equally share a 12 ounce jar of apple sauce

We need to find how many ounces does each of them receives.

The number of persons including with trey are five.

We need to divide 12 ounce jar of apple sauce among five.

We just need to divide 12 by 5.

12/5

In mixed fraction we can write as  [tex]2\frac{2}{5}[/tex]

Hence [tex]2\frac{2}{5}[/tex]  ounces of apple juice , does each person receive.

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The equation for the perpendicular bisector of the line segment will be;

⇒ y = -2x - 1

What is Equation of line?

The equation of line with slope m and y intercept at point b is given as;

y = mx + b

Given that;

The endpoints of the line segments are  (−9,−3) and (7, 5).

Now,

Let the equation of line be;

y = mx + b

We can substitute values of two points for the value of m and b;

We get;

- 3 = - 9m + b ... (i)

5 = 7m + b  ... (ii)

Solve both equation for m and b as;

Subtract (i) from (ii) we get;

8 = 16m

m = 1/2

And, 5 = 7 x 1/2 + b

b = 5 - 7/2

b = 3/2

So, The equation of line with two points is;

y = 1/2 x + 3/2

Since, Two lines which are perpendicular to each other have slope that are inverse to each other.

Hence, Slope of the perpendicular line is;

m₁ = - (2)

m₁ = -2

Hence, The equation of line will be;

y = -2x + b'

Where, b' is new y - intercept for perpendicular line.

Since, Perpendicular line bisect the first line, so we can find the midpoint of the line segment as;

Midpoint = (- 9 + 7 / 2 , - 3 + 5/2)

Midpoint = (-1, 1)

So, Midpoint of the line segment lie on the perpendicular line so we can substitute the value of midpoint to get the b' as;

y = - 2x + b'

1 = - 2 × -1 + b'

1 = 2 + b'

b'= 1 - 2

b' = -1

Thus, The equation of line for the perpendicular bisector of the line segment whose endpoints are (−9,−3) and (7,5) will be;

⇒ y = -2x - 1

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Answer:

Total Profit = $48.61

Step-by-step explanation:

Given:

⇒ Total Income = Number of children × pay per child

⇒ Total Income = 14 × $4.25

⇒ Total Income = $59.50

Given:

⇒ Total Profit = Total Income less Total Expenses

⇒ Total Profit = $59.50 - $10.89

⇒ Total Profit = $48.61

Answer: 42

Step-by-step explanation: 672/16 is 42

we have that

steps

Divide the tens column dividend by the divisor

Multiply the divisor by the quotient in the tens place column

Subtract the product from the divisor

Bring down the dividend in the ones column and repeat

therefore

divide, multiply, subtract, bring down and repeat or find the remainder

1. The number of students that the art academy has per teacher is 16.

2. The number of students that the art academy has per tutor is 9.

3. With 108 students, the art academy requires 12 tutors, given the student-to-tutor ratio of 9:1.

In this situation, we can use the mathematical operation of division to state the ratio of students to either teachers or tutors.

The parts of the division operation include the dividend, the divisor, and the quotient, which is the result of applying the divisor to the dividend.

The number of teachers for 80 students = 5

1. The number of students per teacher = 16 students (80/5)

The number of tutors for 36 students = 4

2. The number of students per tutor = 9 students (36/4)

3. If the students are 108, the number of tutors = 12 tutors (108/9)

Thus, after determining the quotients, we can relate the number of students to teachers and tutors using ratios.

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An arts academy requires there to be 5 teachers for every 80 students and 4 tutors for every 36 students.

Using the distance formula, the length of the line between the two given points is: 5.8 units.

To find the length of the line between two endpoints, the distance formula that is used is:

d = [tex]\sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex].

Given the points:

C(-5, 6) = (x1, y1)

D(-2, 1) = (x2, y2)

Plug in the values

CD = √[(−2−(−5))² + (1−6)²]

CD = √[(3)² + (−5)²]

CD = √(9 + 25)

CD = √34

CD ≈ 5.8 units

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Answer:

3.75

Explanation:

Given the equation 4x+4y = 15, we are to find the x coordinate of equation

To do this we will find the x intercept of the equation.

when y = 0

4x+4y = 15

4x + 4(0) = 15

4x = 15

x = 15/4

x = 3.75

Hence the x coordinate of the equation is 3.75

The midpoint, that is the middle point of any given line segment can be calculated if the endpoints have been made available.

The endpoints for the line segment is,

(7, 5) and (-3, -5) for points X and Y respectively.

The middle point can be found at this position;

(x1 + x2) / 2 and (y1 + y2) / 2

The points are shown as

(7, 5) = (x1, y1)

(-3, -5) = x2, y2)

Therefore we now have,

Midpoint = (7 + [-3])/2 and (5 + [-5])/2

Midpoint = (7-3)/2 and (0)/2

Midpoint = 4/2 and 0/2

Midpoint = (2, 0)

Answer:

Alan travelled 8 miles in total 

with the cut of money for pickup which is 5$and 3$ for every mile

 as 3×8=24

and remaing 5 for picup

Step-by-step explanation:

hope this helps

The equation that represents the situation is, 3d +5 = n and if the fare is $29 then Alan traveled 8 miles.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

Alan takes a taxi at the rate of $3 per mile.

The taxi company charges an additional pickup fee of $5.

So,

the equation that represents the situation is,

3d +5 = n

To solve for the number of miles Alan traveled:

The fare was $29

3d +5 = 29

3d = 24

d = 8

Therefore, he traveled 8 miles.

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The colored pencils does jaime have more than talisa is 24

An arithmetic operator is a mathematical function that takes two operands and performs a calculation on them.

They are used in common arithmetic and most computer languages contain a set of such operators that can be used within equations to perform a number of types of sequential calculation. Basic arithmetic operators include:

:-Addition (+)

:-Subtraction (-)

:-Multiplication (×)

:-Division (÷)

so;

     A.T.Q:-

     The colored pencils does talisa have are 34

     The colored pencils does  jaime have are 58

   ∴ by using arithmetic operator Subtraction (-) , we conclude that how more colored pencils does jaime have than talisa

 ∵ jaime's colored pencils - talisa's colored pencils

 ⇒ 58-  34

 ⇒24

 hence; jaime have 24 pencils more than talisa

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Zoe consumes four cups of nuts. For one brownie, she uses two thirds of a cup of nuts. She can make 6 brownie's with 4 cups of nuts.

Given that,

Zoe consumes four cups of nuts. For one brownie, she uses two thirds of a cup of nuts.

We have to find four cups of nuts may be used to make how many brownies.

We have 4 cups of nuts.

With 2/3 cup of nuts she made a brownie.

Take brownie as x

1x=2/3

x=2/3

Then,

We can write as

2/3x=4

x=4/(2/3)

x=(4×3)/2

x=12/2

x=6

Therefore, She can make 6 brownie's with 4 cups of nuts.

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Length of floor = 5 m and breadth of floor = 4 m

Area of floor = length x breadth

= 5 m x 4 m = 20 m.sq

Now, Side of square carpet = 3 m

Area of square carpet = side x side = 3 x 3 = 9 m.sq

Area of floor that is not carpeted = 20 m – 9 m = 11 m.sq

Answer:

GCF = 1

Step-by-step explanation:

factors of 18 = 1, 2, 3, 6, 9, 18

factors of 35 = 1, 5, 7, 35

the common factor to both is 1 only

then the GCF of 18 and 35 is 1

After solving for y we get the answer as 1.

Given, the expression is -(-10+7y)+6y=9

first open the brackets by multiplying it with '-' sign.

-(-10+7y)+6y=9

⇒ 10-7y+6y = 9

subtract the variable y.

⇒ 10 -y = 9

arrange the constants to one side.

⇒ -y = 9 -10

subtract the constants.

⇒ -y = -1

cancel the '-' sign.

⇒ y = 1

Hence the value of y is 1.

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A circuit in electronics is a complete circular channel via which electricity flows. A current source, conductors, and a load make up a straightforward circuit. In a broad sense, the word "circuit" can refer to any permanent path through which electricity, data, or a signal can pass.

Plucking crops as they move from field to field. Throughout California, Panchito and his family travelled to collect strawberries, cotton, grapes, and lettuce. a visitor who intends to settle permanently in a nation. From Mexico, Panchito and his family immigrated.

Young migrant labourer Panchito and his family make their living by working the seasonal agricultural harvesting circuit. The appearance of cardboard boxes, which contain all of the family's belongings, marks each move on the circuit. Panchito has the chance to go to school as the circuit takes the family to Fresno.

The members of Francisco's family gather various crops in each town they reside in as they migrate throughout the central coast of California.

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V(4) of the photocopier is $6,210

The value of t when V (t) = 5780 is 4.5 years

The original price of the photocopier is $9,650

What does V(4)?

V(4) means that the requirement in this case is to determine value of the photocopier after 4 years since t means the number of years since the photocopier was initially acquired, in other words, in order to determine the value of the photocopier after 4 years we simply substitute 4 for t in the value equation given as shown below:

V (t) = 9650 - 860t

t=4

V(4)=9650 - 860(4)

V(4)=9650-3440

V(4)=$6,210

When V(t)=5780,we can determine t by making t the subject of the formula

V (t) = 9650-860t

5780=9650-860t

860t=9650-5780

860t=3870

t=3870/860

t=4.5

The original price can be computed on the basis that the photocopier was bought when t=0, I mean in year zero, hence, attributing zero to t , we can determine the original price

V (t) = 9650-860(0)

V(0)=$9,650

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Answer:

y = -1/4

Step-by-step explanation:

If the slope is o, that means that it is a horizontal line.  The line passes though the point (4, -1/4)  The horizontal line will have y as -1/4, no matter what x is.

Answer:

[tex]\sf y =\dfrac{-1}{4}[/tex]

Step-by-step explanation:

Equation of the line with slope 0 is y = c.

where c is the y-co-ordinate.

 The line with slope 0 is a horizontal line that is parallel to x-axis.

          [tex]\sf y =\dfrac{-1}{4}[/tex]

the percentage do holidays account for will be 50.7%

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Given:

school accounts for holidays for a calendar year = 180 days or 49%

Now, the remaining days will be holidays that is :

365 - 180 = 185 days

Therefore, the percentage do holidays account for will be :

185/365 = 50.7%

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Answer:232 miles

Step-by-step explanation:

knowing that they travel 145 miles every 5 gallons I’d we divided 145 by 5 we get how many miles they would travel with 1 gallon which is 29 after that we are trying to find how many miles can we run with 8 gallons so we do 29 times 8 to get our answer of 232

The exact volume of the sphere that has a radius of 7 inches, in terms of π , is: 1,372/3 π cubic inches.

A sphere is round in shape and can be described as a three dimensional solid shape that has a center that is equidistant from any point on its surface.

Given that a sphere has a radius that is represented as r, the formula to find the volume of the sphere is:

Volume of sphere = (4/3) × π × r³

Given the parameters:

Radius of the sphere = 7 inches

Plug in the value

Volume of the sphere = (4/3) × π × (7³)

Volume of the sphere = (4/3) × π × 343

Volume of the sphere = 1,372/3 × π

Volume of the sphere = 1,372/3 π cubic inches.

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The correct ans to the given graph is :

Kelly added $20 into saving each week.

How would you define a graph ?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

How is a line graphed?

Draw a horizontal axis and a vertical axis first before drawing a line graph. Because age is independent, it should be plotted on the horizontal axis. Plotting should be done using height on the vertical axis. Plot a point for each pair of values using the data that has been provided.

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