use long division to find 514/28.

(a) Approximate the population standard deviation (?) with the sample standard deviation (s).

Approximate the standard normal distribution with the Student's t distribution.

(b) The lower bound is 40.35 and the upper bound is 41.65.

(a) Approximate the population standard deviation (?) with the sample standard deviation (s).

Approximate the standard normal distribution with the Student's t distribution.

(b) The degree of freedom =n-1=60-1=59

Given a=0.1, t(0.05, df=59) =1.67 (from student t table)

So the lower bound is

xbar -t*s/vn = 41 -1.67*3/sqrt(60) =40.35

So the upper bound is

xbar +t*s/vn = 41 +1.67*3/sqrt(60) =41.65

The standard deviation is a statistical metric that determines how much a bunch of values deviate from the mean. Simply said, standard deviation quantifies the distance between integers in a data collection. The square root of the variance is used to construct this measure.

Learn more about standard deviation here:

https://brainly.com/question/13905583

#SPJ4

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.

To learn more about  story of Circuit refer to:

https://brainly.com/question/12273919

#SPJ10

MATHEMATICALLY 10 LESS THAN 73 MEANS:

WHAT IS THE DIFFERENCE BETWEEN 10 AND 73

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

ATTACHED IS THE SOLUTION

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

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]

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

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

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.

To learn more about graph click on the link below:

https://brainly.com/question/25196929

#SPJ9

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.

Learn more about slope on:

https://brainly.com/question/16949303

#SPJ1

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

To know more about , arithmetic operator  and function, click here;

https://brainly.com/question/28920135

# SPJ13

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.

Learn more about trigonometry here :

https://brainly.com/question/22506071

#SPJ1

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:

o is the correct answer of this question

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

Learn more about the equation of line visit:

https://brainly.com/question/9351428

#SPJ1

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

Find out more about depreciation function on:https://brainly.com/question/13989254

#SPJ1

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

Learn more about the distance formula on:

https://brainly.com/question/661229

#SPJ1

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

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%

Read more about mathematics operations at:

https://brainly.com/question/17869111

#SPJ1

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.

Learn more about volume of a sphere on:

https://brainly.com/question/28023639

#SPJ1

The relative intensity of the sound is 2.14 * 10 greater than the minimum threshold

The loudness equation is given as

L = 10log(R)

Where

R represents the relative intensity of the sound

From the question, we have the value of R to be

R = 138

Next, we substitute 138 for R in the loudness equation L = 10log(R)

So, we have

L = 10log(138)

Evaluate the logarithmic expression

L = 10* 2.14

Rewrite as

L = 2.14 * 10

Hence, the number of times is 2.14 * 10 times

Read more about relative intensity at

https://brainly.com/question/15743799

#SPJ1

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.

To learn more about sample size visit:

https://brainly.com/question/28583871

#SPJ4

Answer: 42

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

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.

Learn more about solving equation here:

brainly.com/question/26310043

#SPJ1

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.

Learn more about mathematical operations at https://brainly.com/question/20628271

#SPJ1

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

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 percentage increase of the value of Tessa's stock is 49%.

Stock is a term used to describe the shares of ownership of a company. It is sometimes also called equity.

To find the percentage value change, we use the formula given below

P = (N-O)/O*100

Here, P = percentage change, N = new value, O = old value.

P = (263.73-177)/177*100

P = 86.73/177*100

P =  8673/177

P = 49%

Therefore, we can conclude that the total percentage increase of the value of Tessa's stock is 49%.

To learn more about percentage change

visit; https://brainly.com/question/13450942

#SPJ1

The pairs of points that on the linear equations are:

a) (1, 7) and (0, 10).

b)  (1, 7/3) and (0, 2)

First, we need to find the slope of the equation of the line that passes through the points (-2, 6) and (1, -3).

Remember that if a line passes through two points (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through the points (-2, 6) and (1, -3), then the slope is:

a = (-3 - 6)/(1 + 2) = -9/3 = -3

a) A parallel equation will have the same slope, so it will be of the form:

y = -3*x + b

To find the value of b w euse the fact that this line should pass through the point (2, 4), so:

4 = -3*2 + b

4 = -6 + b

4 + 6 = b = 10

The linear equation is:

y = -3*x + 10

To find two points we can evaluate in x = 1 and x = 0, we will get:

y = -3*1 + 10 = 7

y = -3*0 + 10 = 10

So we have the pair of points (1, 7) and (0, 10).

b) A perpendicular equation will have a slope equal to the inverse of the opposite, so we will have a line like:

y = (1/3)*x + c

To find the value of c we use the fact that this line passes through (3, 3), them:

3 = (1/3)*3 + c

3 = 1 + c

3 - 1 = c

2 = c

This line is:

y = (1/3)*x + 2

Again we evaluate in 0 and 1 to get the two points:

y = (1/3)*1 + 2 = 1/3 + 6/3 = 7/3

y = (1/3)*0 + 2 = 2

So we have the pair of points (1, 7/3) and (0, 2)

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1