What is 2/3 + 1/6 + 2/8

To estimate the true proportion of home owners who have vegetable gardens to within 6 percentage points with confidence, a sample size of 384 would be needed.

To learn more about the Theory of Confidence Intervals refer to:

https://brainly.com/question/15712887

#SPJ4

"17/8" pounds of apples were left to give to his grandmother.

Since we have given that

The quantity of apples he picked is given by 6.1/2⇒13/2 pounds.

The quantity of apples he picked for his aunt is given by 2.3/4⇒11/4 pounds.

The quantity of apples he picked for his mother is given by 1.5/8⇒13/8 pounds.

So, the total quantity left for his grandmother is given by

first we have to add the quality of apples he picked for his aunt and the number of apples he picked for his mother.

After subtracting from what he picked.

⇒13/2-(11/4+13/8)

⇒13/2-(22+13/8)

⇒13/2-(35/8)

⇒52-35/8

⇒17/8

Hence, 17/8  pounds are left for his grandmother.

To know more about basic maths:

https://brainly.com/question/4721701

#SPJ4

The length x of JK is 3.6 units

Here, quadrilaterals ABCD and JKLM are similar.

We know that the corresponding sides of similar triangles are in proportion.

So, by definition of similar triangles,

AB/JK = BC/KL = CD/LM = AD/JM

To find:  the length x of JK

So, consider an equation

AB/JK = AD/JM

Substitute the length of each side in above equation.

4/x = 2/1.8

(4 × 1.8)/x = 2

(4 × 1.8)/2 = x

x = 2 × 1.8

x = 3.6

Therefore, the length of JK = 3.6 units

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ4

The value of x using Pythagorean theorem is 14.05 units

An equation shows how two or more numbers and variables are related to each other.

Pythagoras theorem shows the relationship between the sides of a right angled triangle. It is given by:

hypotenuse² = adjacent² + opposite²

In the diagram, using Pythagoras theorem:

22² = (x + 1)² + (x + 2)²

484 = x² + 2x + 1 + (x² + 4x + 4)

2x² + 6x + 5 = 484

2x² + 6x - 479 = 0

x = 14.05

The value of x is 14.05 units

Find out more on equation at:https://brainly.com/question/2972832

#SPJ1

In linear equation ,The length of waterslide is 12 yards.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Given that,

The length of an object object in feet is equal to 3 times it’s length in yards

The length of wall water side slide is 36 feet

Let "y" be the length of object in yards

From given,

Length in feet = 3 times length in yards

    36 =  3 * y

     3y = 36

    y = 36/3

     y = 12

Thus length of waterslide is 12 yards.

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

The number of books that Sofia read is 32 books and the brother read 8 books.

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

From the information, Sofia and her brother combined to read a total of 40 books over the summer sofia read four times as many books as her brother how many books did each person read

Let the number of books read by the brother = x

Number of books read by Sofia = 4x

Therefore, x + 4x = 40

5x = 40.

Divide

x = 40 / 5

x = 8

The brother read 8 books

Sofia read = 4x

= 4 × 8

= 32 books.

Learn more about equations on:

https://brainly.com/question/2972832

#SPJ1

Answer:

Step-by-step explanation:

-x+6=-2(x+2)-5

Solve for x

-x + 6 = -2(x + 2) - 5

-x + 6 = -2x - 4 - 5

x = -15

------------------------

- (-15) + 6 = -2(-15 + 2) - 5

21 = 21

x = -15

Answer:

208

Step-by-step explanation:

60 percent of 520 is 312

520 subtract 312 is 208

Answer:

208

Step-by-step explanation:

(520)-60% of 520

(520)-3×104

520-312

=208

Hope it helps you

PLS RATE AS BRAINLIEST ANSWER

probability of landing on heads - 49 %

Answer:

49%

Step-by-step explanation:

The total weight of the wall is 49,500 lb, and the average dead load per foot of wall length is 1237.5 lb/ft.

To find the total weight of the wall and the average dead load per foot of wall length, we need to calculate the total area of the wall and the area of the windows, then use that information to determine the weight of the remaining brick veneer.

First, we calculate the total area of the wall by multiplying the length and height:

40 ft * 11 ft = 440 ft²

Next, we calculate the area of the windows by multiplying the total area of the wall by 25% (the percentage of the wall that is windows):

440 ft² * 0.25 = 110 ft²

Now we can find the area of the brick veneer by subtracting the area of the windows from the total area of the wall:

440 ft² - 110 ft² = 330 ft²

To find the weight of the brick veneer, we can assume a weight of 150 lb/ft². We can calculate this by multiplying the area of the brick veneer by the weight per square foot:

330 ft² * 150 lb/ft² = 49,500 lb

Now to find the average dead load in lb/ft of the length of the wall, we divide the total weight of the wall by the total length of the wall:

49500 lb / 40 ft = 1237.5 lb/ft

So the total weight of the wall is 49,500 lb, and the average dead load per foot of wall length is 1237.5 lb/ft.

To learn more about the area, visit:

brainly.com/question/16151549

#SPJ4

The midpoint formula of a quadratic equation is given by: x = -b/(2a), where a, b and c are the coefficients of the quadratic equation ax2 + bx + c = 0.

This formula is used to determine the midpoint of the roots of a quadratic equation. It works by taking the coefficients of the equation and plugging them into the formula. The result of the formula will be the x-coordinate of the midpoint of the two roots.

This formula is useful when solving quadratic equations, because it allows us to quickly find the midpoint of the two roots without having to solve for both roots first. It is also useful for graphing the quadratic equation, as it reveals the location of the vertex of the parabola. Knowing the midpoint of the two roots also makes it easier to determine the nature of the roots, whether they are real or imaginary.

Learn more about Quadratic Equation here:

https://brainly.com/question/28038123

#SPJ4

Therefore, the fraction 5/4 in this equation represents the growth factor of the height of the item over time.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

The total number of equally sized components chosen is shown in the numerator. The denominator, however, shows the total number of equal pieces.

The fraction 5/4 in this equation represents the growth factor of the height of the item over time. The value of 3 in front of the fraction is the initial height and the exponent x represents the number of days that have passed, so the height of the item increases by a factor of 5/4 for every additional day. The height equation represents exponential growth.

To know more about Equations visit: https://brainly.com/question/29657983

#SPJ4

As per the given equation the height of the cliff is 196.225 feet.

We know that the distance an object falls varies directly as the square of the time it is in motion, meaning that the distance is proportional to the square of the time. If we let d be the distance fallen and t be the time, we can write this relationship as [tex]d = kt^2[/tex] for some constant of proportionality k.

We also know that when an object falls for 3 seconds, it falls 144.9 feet. We can use this information to find the value of k:

[tex]144.9 = k(3^2)[/tex]

k = 16.1

Now that we know the value of k, we can use it to find the distance fallen when the time is 3.5 seconds:

[tex]d = kt^2\\d = 16.1(3.5^2)\\d = 16.1(12.25)\\d = 196.225[/tex]

So, the height of the cliff is 196.225 feet.

To know more about distance visit: https://brainly.com/question/15172156

#SPJ4

Answer:

150 of 400 can be written as:

150400To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

150400 × 100100= (150 × 100400) × 1100 = 37.5100Therefore, the answer is 37.5%

If you are using a calculator, simply enter 150÷400×100 which will give you 37.5 as the answer.

Answer:

Step-by-step explanation:

Let the speed be x km/h

Let the time be t

In △ADC,

tan30°=

h

xt

​

3

​

1

​

=

h

xt

​

h=  xt

In △ABD,

tan60°=

h

x(6+t)

h=  

x(t+6)

3​

xt=

x(t+6)

3t=6+t

t=3 seconds

∴ total time taken=6+3=9 seconds

Therefore , the solution of the given problem of angles comes out to be

Each inner angle of a regular hexagon measures 120 degrees.

Two rays that converging at the vertex, or center, of an angular structure in geometry make up the structure. We refer to these rays as the faces of the angle. Two beams may well be able to create any angle within just a planar depending on their location. Additionally, an angle is created when two planes intersect. .

Given: A standard hexagon

Measure each internal angle of a standard hexagon.

Solution:

(n - 2) x 180° is the formula for the sum of lengths of a polygon's inner angles.

Every side of a regular polygon is the same length, and every angle is the same size.

A hexagon has six sides.

Find the total of the measurements of the internal angles of a hexagon by substituting n = 6 in (n - 2) x 180n latitude in step 1.

=> (n - 2) * 180°

=> (6 - 2) * 180°

=>4 * 180°

=> 720°

Step 2: Since a regular hexagon has six sides and all of its sides and angles are equal in size, divide by six to obtain the dimensions of each inner angle.

=> 720° /6

=> 120°

Each internal angle of such a regular polygon is 120 degrees in length.

To know more about angles visit:

https://brainly.com/question/14569348

#SPJ1

The reasonable solutions for this situation is (1, 3.5) and (2, 2)

A graph is a visual representation of data or information, typically used to display the relationship between two or more variables. Graphs are used to make it easier to understand and analyze data, and can be used to convey information in a clear and concise manner.

Audrey has x pounds of red grapes and y pounds of green grapes.

She has less than 5 pounds of grapes in all, hence:

x + y < 5

Also, x ≥ 0, y ≥ 0

a) The option (–1, 2) is wrong because x = -1 < 0

b) The option (1, 3.5) is correct because 1 + 3.5 = 4.5 < 5

c) The option (2, 2) is correct because 2 + 2 = 4 < 5

d) The option (4.5, 0.5) is wrong because 4.5 + 0.5 = 5 which is not less than 6.

e) The option (5, 0) is wrong because 5 + 0 is not less than 5

To learn more about Graphs visit:

https://brainly.com/question/17267403

#SPJ4

the answer is x>3

this is the answer becuase x-3 cannot be 0 because tou cant divide by zero and it cant be negative because it is in the square root notation which cant be negative without the use of inaginary numbers

The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expression is given below.

⇒ 12 × [6.3 + 3 × (1.9)]

Simplify the numerical expression, then we have

⇒ 12 × [6.3 + 3 × (1.9)]

⇒ 12 × [6.3 + 5.7]

⇒ 12 × 12

⇒ 144

The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Answer:

1.6285

Step-by-step explanation:

28 = 4/5x-8

Cross multiply

140x-224=4

140x =224+4

140x = 228

x = 228/140

x = 1.6285

Tracy got 20 questions correct in her test.

Tracy took a test in which there are 24 questions, out of which Tracy got 5/6 correct.

Hence he got 24 x 5/6 = 20 questions correct.

An equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an ‘equal’ sign.

So ,an equation to model this would be:

x = 24 x 5/6

where x is the number of questions tracy answered correctly.

Hence Tracy answered 20 questions correctly.

To learn more about equations visit:

brainly.com/question/10413253

#SPJ4

(a) - Subjects may enter a false information or data, or mistakes can be done while entering the data.

(b) - The researcher can use the results of the study to make generalization to the entire population.

Bias

A bias can be defined as the tendency of facts to be distorted or subjective rather than being objective. It's a deviation from the facts.

generalization

It is the tendency to respond in the same way to different but similar stimuli.

A representative sample can be defined as a sample drawn from an entire population such that it is a subset of it and has similar characteristics as the population group.

Learn more about Bias here :-

https://brainly.com/question/15135672

#SPJ4

Answer: The answer is no, they are not proportional

Step-by-step explanation:

Let, third proportional is x 0.8 : 0.2 : : 0.2 : x = 0.8/0.2 = 0.2/x = x = 0.2 × 0.2/0.8 × 10 = 1/20 = 0.05 Hence, here third proportional is 0.05

Answer: 1 3/4 = 35/20 and 1 4/5 = 36/20

Step-by-step explanation:

1 3/4 = 7/4

Multiply top and bottom by 5 to get 35/20

1 4/5 = 9/5

Multiply top and bottom by 4 to get 36/20

Answer:

23; 11 + 2t

Step-by-step explanation:

So let's start with the equation and then plug in the 6 hours:

Because we start with 11 dollars just to enter, our equation would start like this:

11 +

Also, 2 dollars for every hour. One hour could be represented as 1t, or just t:

11 + 2t (2 dollars for every t, every hour)

So now the equation is 11 dollars starting entry plus 2 dollars every hour

Now all we have to do is replace t with the number of hours:

11 + 2(6) = answer

11 + 12 = answer

23 = answer

The coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.

Given are the coordinates of the vertices of ΔRST are R(1, 6), S(5, 3), and T(3,-2).

The rule for a reflection over the x -axis is (x, y) →(x, −y). Now we can write the coordinates of the reflection as -

R' (1, -6)

S' (5, -3)

T' (3, 2)

The graph is attached.

Therefore, the coordinates of the reflected points are R' (1, -6), S' (5, -3), T' (3, 2) and the graph is attached.

To solve more questions on graph reflections, visit the link below -

brainly.com/question/7835414

#SPJ1

The theoretical likelihood of selecting a heart is 1/16 times higher than the actual likelihood.

In the given question, we have to find the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart.

We are aware that a deck's total number of cards= 52

Total number of hearts = 13

Then the theoretical probability of getting a heart = Number of cards have hearts/Total cards

Then the theoretical probability of getting a heart = 13/52

Then the theoretical probability of getting a heart = 1/4

Then the theoretical probability of getting a heart = 0.25

Cards chosen by Rochelle : Clubs 29, Spades 13, Hearts 15, Diamonds 23

Total cards  = 80

The experimental likelihood of experiencing a heart attack = Number of cards have hearts/Total cards

The experimental likelihood of experiencing a heart attack = 15/80

The experimental likelihood of experiencing a heart attack = 3/16

The experimental likelihood of experiencing a heart attack = 0.185

Since, 0.25 > 0.1875 so, Theoretical probability > Experimental probability

and,

Theoretical probability = 0.25-0.1875

Theoretical probability = 0.0625

Theoretical probability = 625/10000

Theoretical probability = 1/16

Hence, the theoretical likelihood of selecting a heart is 1/16 times higher than the actual likelihood.

To learn more about Theoretical probability link is here

brainly.com/question/24037367

#SPJ4

No, 9x2 42x 49 is not a perfect square trinomial.

Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."

No, 9x2 42x 49 is not a perfect square trinomial. A perfect square trinomial is a polynomial of the form a2 + 2ab + b2,

where a and b are numbers or variables.

9x2 42x 49 does not fit this pattern, as it does not involve two terms whose sum is multiplied by itself.

To know more about perfect squares click-
https://brainly.com/question/27307830
#SPJ4

Answer: The first and third options are correct.

Step-by-step explanation: