A survey was conducted in a classroom of 40 students. On the survey, 10 stated they were
fond of pineapple juice, 15 were fond of orange juice, and 7 liked to have both pineapple and
orange juice. Find how many students were neither fond of pineapple nor orange juice?

The probability that the sample mean falls between 4800 psi and 5200 psi is 0. 0.9973.

Probability refers to the numerical descriptions of how likely an event is to occur. For the given information, the mean µ = 5000 psi and standard deviation σ = 400 psi.

For a random sample, n = 36, in order to determine the probability that the sample mean falls between 4800 psi and 5200 psi, the z test statistics for the range must be calculated.

z = (x - µ)/ (σ/√n) = (4800 - 5000)/ (400/√36) = -3

z = (x - µ)/ (σ/√n) = (5200 - 5000)/ (400/√36) = 3

Hence, the probability that the sample mean falls between 4800 psi and 5200 psi would be p ( -3< z < 3).

From the table,

p ( -2.4 < z < 2.4) = 0.9973

Learn more about Probability:

https://brainly.com/question/24756209

#SPJ4

The length of one slice of a large pizza is 8 inches.

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as πr².

We have,

A large pizza:

Diameter = 16 inches

Radius = 8 inches

Area of the pizza.

= π x 8 x 8

= 3.14 x 8 x 8

= 200.96 square inches

Pizza cut into S slices.

The area of each slice = 25.12 square inches.

The number of slices.

= 200.96 / 25.12

= 8

Now,

The length of each slice of the pizza will be its radius.

So,

Length = 8

Thus,

The length of one slice of a large pizza is 8 inches.

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ1

Answer:

C and A

Step-by-step explanation:

Since we need to find the common factors like 107/100 - 1.07 the X cancel out and we are left with the answers c and a

Answer:

The total price Leila pays for the model is 1.07x dollars .

Option (C) is correct .

Step-by-step explanation:

Leila is buying a dinosaur model.

The price of the model is x dollars, and she also has to pay a 7% tax.

7% is written in the decimal form .

= 0.07

Tax price = 0.07 × Cost of the model

               = 0.07x

Total price Leila pays for the model =  Cost of the model + Tax price

Putting all the values in the above

Total price Leila pays for the model = 0.07x + x

                                                          = 1.07x dollars

Therefore the total price Leila pays for the model is 1.07x dollars .

Option (C) is correct

Caroline leaves her house and walks north 6 blocks. She turns and heads east 8 blocks until she reaches mattie’s house.

The shortest distance between Caroline’s and Mattie’s house is 10 blocks.

If we assume this as a right angle triangle then height(BA) is 6 blocks long and base(BC) is 8 blocks

long.

Then, the shortest distance between Caroline’s and Mattie’s house will be the hypotenuse(AC) of this

triangle.

So, by applying Pythagoras theorem:

(AC)² = (BA)² + (BC)² = (6)²+(8)² = 36+64 = 100

Thus, AC = √100 = 10 block

Hence, the shortest distance we can take from Caroline’s house to reach Mattie’s house is 10 blocks.

To learn more about the Pythagoras theorem click here https://brainly.com/question/343682

#SPJ4

An individual must pay the individual income tax, sometimes known as the personal income tax, on all of their annual income, including wages, salaries, dividends, interest, and other types of income. The state where the income is earned often levies the tax.

Businesses and individuals are subject to income taxes (or family units). Individual income taxes are computed based on the income received. Because the burden is assumed to fall on the payers, it is typically characterized as a direct tax.

Individuals and businesses both pay income taxes on their profits. There are several different types of income that are taxable, including wages, salaries, dividends, interest, royalties, rental income, gambling revenues, and sales of items.

There are seven federal tax brackets for the 2022 tax year: 10%, 12%, 22%, 24%, 32%, 35%, and 37%. Your tax bracket is determined by your filing status and taxable income. Taxes that are payable in April 2023 are subject to these rates.

If John earns $9875 he has to pay tax $987.5.He can take home $8,887.5

If john earns $12,000 he has to pay $ 2425.5 He can take home $9,574.5

To learn more about  Income taxes refer to:

https://brainly.com/question/28414951

#SPJ13

Answer:

4x²

Step-by-step explanation:

2x × 3x - 2x²

= 6x² - 2x²

= 4x²

Answer:

Ann’s work is correct

Step-by-step explanation:

Answer:

152°

Step-by-step explanation:

the sum of the exterior angles of a polygon = 360°

let x be the measure of the fifth exterior angle , then

92° + 73° + 63° + 104° + x = 360°

332° + x = 360° ( subtract 332° from both sides )

x = 28°

then

interior angle + exterior angle = 180° , that is

interior angle + 28° = 180° ( subtract 28° from both sides )

interior angle = 152°

the exterior angles of a polygon is 360°

92 + 73 + 63 + 104 = 332

360 - 332 = 28° is the measure of the fifth interior angle.

Answer: 1/3

Step-by-step explanation: 4/5 + 3/15 is equal to 12/15 + 3/15

12/15 + 3/15 = 1

1/1 - 2/3 is equal to 3/3 - 2/3

3/3 - 2/3 = 1/3

In the coordinate axis the point D is located at the position of (5,-2) .

In the given graph of the coordinate axis , we can see that the four points A,B,C and D are located

The coordinates of each point are :

A (-5,-2)

B (-2,5)

C (2,-5)

D (5,-2)

Therefore using the given abscissae and ordinate of the points the point that is located at (5,-2) is D.

A coordinate system in geometry is a way to use one or more integers, or coordinates, to determine the exact placement of points or other geometrical objects on a manifold, such Euclidean space.

The order of the coordinates is crucial, and they are frequently identified by their position in an ordered tuple or by a letter, such as "the x-coordinate." The coordinates are often real values in elementary mathematics, but they could also be complex numbers or parts of a more abstract system, such a commutative ring.

To learn more about coordinate visit:

https://brainly.com/question/28338266

#SPJ1

Answer:

U MEANS UNION

{-8,-4,0,4,8,12,16,20}  U {-3,-2,-1,0,1,2,3,4,5,6} BECOMES

{0, 1, 2, 3, 4, 5, 6, 8, 12, 16, 20, -1, -8, -4, -3, -2}

happy learning!

If D is the midpoint of the segment BC then 2(BM + MD) = 2DC.

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial qualities such as figure distance, shape, size, and relative position. A geometer is a mathematician who works in the field of geometry.

In the given image we have a triangle in which line BC is cut into two halves at point D. This Means that D is the mid-point of line BC.

Here if segment BC is divided by point D into two halves then,

BM + MD = DC

The value of 2DC will be,

2DC = 2 (BM + MD)

Therefore, the value of 2DC will be equal to 2(BM + MD).

To know more about geometry follow

https://brainly.com/question/29285656

#SPJ1

If the first term is 1, there are 9 multiples of 6 less than 10000 that would be terms of the sequence.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

It is given that, a sequence is formed by adding to the triple of the previous term.

If the first term is 1, we have to find the multiples of 6 less than 10000  would be terms of the sequence.

First term = 1

2nd term  =1 x 3 + 2 = 5

3rd term  =5 x 3 + 2 = 17

4th term   =17 x 3 + 2 = 53

5th term =53 x 3 + 2 = 161

6th term=161 x 3 + 2 = 485

7th term=485 x 3 + 2 = 1457

8th term=1457 x 3 + 2 =4373

9th term=4373 x 3 + 2 =Goes over 10,000

Thus, if the first term is 1, there are 9 multiples of 6 less than 10000 that would be terms of the sequence.

The question is incomplete, the complete question is"A sequence is formed by adding 2 to the triple of the previous term. If the first term is 1 , how many multiples of 6 less than 10000  would be terms of the sequence?'

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ1

Answer:

1.5,3

Step-by-step explanation:

Hope this helps it's all I could find I'm sorry

Ooo! It's fall and Thanksgiving time! I gotta get ready for Thanksgiving and for my friends to come over! Fun! - Ash the Fox

The required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,

The point-slope of the equation of the line is given by,

y - y₁ = m(x - x₁)

Put the values in the above equation of the line

y - 5 = -4 (x - (-1))

y - 5 = -4 (x + 1)

Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Learn more about slopes visit:

brainly.com/question/3605446

#SPJ1

Answer:

[tex](x - 6)^2 + y^2 = 25[/tex]

Step-by-step explanation:

The standard form of a circle is [tex](x - x_1)^2 + (y - y_1)^2 = \text{R}^2[/tex], where [tex](x_1\text{, }y_1)[/tex] is the center point of the circle, and [tex]\text{R}[/tex] is the circle's radius.

We're given the center of our circle is (6, 0) and its radius is 5, therefore, the circle's equation in standard form is:

[tex](x - 6)^2 + (y - 0)^2 = 5^2\\\to (x - 6)^2 + y^2 = 25[/tex]

Answer:

(x - 6)² + y² = 25

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² +(y - h)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (6, 0 ) and r = 5 , then

(x - 6)² + (y - 0)² = 5² , that is

(x - 6)² + y² = 25

The perimeter of the triangle is 64 when the triangle is ZTW.

Given that,

In the picture we have a triangle ZWT.

The U and V are mid points of WT and Y and X are midpoints of ZW.

We have to find the perimeter of the triangle.

We get the sides

ZT=22

We have,

TU/ZY= UV/YX= VW/XW  (Thales theorem)

6/8= a/12= 3/b

3/4=a/12= 3/b

Take,

3/4=a/12

a=3/4×12

a=3×3

a=9

Take,

3/4=3/b

b=3×4/3

b=4

The side TW=6+9+3=18

The side ZW=8+12+4=24

The perimeter of the triangle is sum of the sides.

The perimeter of the triangle=ZT+ZW+TW

The perimeter of the triangle= 22+24+18

The perimeter of the triangle= 64

Therefore, The perimeter of the triangle is 64 when the triangle is ZTW.

To learn more about perimeter visit: https://brainly.com/question/6465134

#SPJ1

The solution of inequality -8+4x<-4 is given by x<1 anbd the graph is given by,

Given the inequality is, -8+4x < -4

Solving the inequality we get,

-8+4x < -4

4x < -4+8, adding 8 to both sides

4x < 4

x < 1, dividing both sides by 4

Hence the solution is x<1.

The graph of solution set in number line is,

To know more about Inequality refer to:

https://brainly.com/question/24372553

#SPJ1

Answer:

10

Step-by-step explanation:

If y is three, add 2+3, then multiply by 2, so the answer would be ten.

The standard error is 153.125

The population mean's likelihood to deviate from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if the research were to be repeated with fresh samples drawn from a single population.

The standard error is a measure of variability, just as the standard deviation. Standard error, on the other hand, reflects variability over numerous samples of a population, whereas standard deviation describes variability within a single sample.

being that

The sample size is 256.

The average is $35,420.

And $2,450 is the standard deviation.

We must ascertain the standard error.

The fact that

= random sample standard deviation

= 2450 ÷ √256

= 2450 ÷ 16

= 153.125

Consequently, 153.125 is the standard error.

To learn more about standard error click the following link:-

https://brainly.com/question/23553602

#SPJ4

The value of the x is 39.

Given equation is x-4 / 5 - x+1 / 6= 1/3.

Now, to solve this we have to take the L.C.M for both the fraction s which is 30.

Multiply the equation with 30 and we will get the :

30(x-4)/5 - 30(x+1)/6 = 30/3,

6(x-4) - 5(x+1) = 10 ,

6x - 24 -5x -5 = 10,

x -29 = 10, adding 29 on both sides

x = 39

To know about more equation https://brainly.com/question/5338675

#SPJ1

By using properties of triangle, it can be calculated that

RS = 1.183 RT

What is a triangle?

A triangle is a three sided two dimensional figure. A triangle has three sides and three interior angles

By using properties of triangle,

[tex]\frac{RT}{sin \angle S} = \frac{RS}{sin \angle T}\\\\ \frac{RT}{sin 50} = \frac{RS}{sin 65}\\\\ \frac{RT}{0.766} = \frac{RS}{0.906}\\\\ RS = \frac{0.9606}{0.766}RT\\RS = 1.183RT[/tex]

To learn more about triangles, refer to the link-

https://brainly.com/question/1058720

#SPJ1

The total student increases by 10.85% from last year.

A relative value indicating hundredth parts of any quantity is called percentage.

Given that, last there were 125 boys and 50 girls, and it increased by 12% and 8% next year,

Total students last year = 125+50 = 175

Boys increased = 125x112/100 = 140

Girls increased = 50x108/100 = 54

Total students current year = 140+54 = 194

Percentage increase = (194-175)/175x100 = 10.85%

Hence, The total student increases by 10.85% from last year.

For more references on percentage, click;

https://brainly.com/question/29306119

#SPJ1

If the digits are reversed, the sum of the new number and the original number is 143. The original number is 94.

Let x represent the unit digit of the original number

Let  tens digit =2x+1

Let the number = 10(2x+1)+x=21x+10

Assuming the digits are reversed

Tens digit = x

Unit digit =2x+1

Reversed number = 10x+2x+1=12x+1

So,

(21x+10)+(12x+1)=143

Collect like terms

33x+11=143

33x=132

Divide bot side by 33x

x = 143/33

x=4

Original number:

Original number =21×4+10

Original number = 84 +10

Original number =94

Therefore the original number is 94.

Learn more about number here:https://brainly.com/question/251701

#SPJ1

Answer:

C

Step-by-step explanation:

If x = -5 or x = 2 the function doesn’t exist

If x = 0  , y = 0

We can use proportional reasoning to describe that when the two quantities multiplied equal a constant.

Hence, Option (C) is correct.

What is a proportion?

A proportion is a type of ratio in which the denominator also contains the numerator. For example, the proportion of male deaths would be deaths to males divided by deaths to males plus deaths to females (i.e. the total population).

Let 'x' be the numerator and 'y' be denominator,

then one ratio is 'x/y' and its reciprocal by using the proportion would be 'y/x'

and then their multiplication will be

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

Multiplication gave us '1', which is a constant.

Hence option (C) is the correct answer.

We can use proportional reasoning to describe that when the two quantities multiplied equal a constant.

To learn more about the proportions visit:

https://brainly.com/question/870035

#SPJ9

[tex] - b + |b| - 4ac[/tex]

Answer:

1/4

Step-by-step explanation:

[tex] \frac{1}{2} ( \frac{1}{10} + \frac{2}{5} )[/tex]

[tex] \frac{1}{2} ( \frac{1}{10} + \frac{4}{10} ) = \frac{1}{2} ( \frac{5}{10} ) = \frac{1}{2} ( \frac{1}{2} ) = \frac{1}{4} [/tex]

The solution for the system of equations shown in this graph is (-2, 1)

In this question, we need to determine the solution for the system of equations shown in this graph.

From given graph of system of equations we can observe that the  system of equations represent lines intersected at point.

This means that the system of equations has a solution.

The point of intersection of given line is (-2, 1)

Therefore, the solution for the system of equations shown in this graph is (-2, 1)

Learn more about the  system of equations here:

https://brainly.com/question/24065247

#SPJ1

Our new measures of central tendency and spread are Mean: (9+9+13+15+19)/5=13(9+9+13+15+19)/5=13.

acc to our question-

learn more about mean click here:

brainly.com/question/1136789

#SPJ4