Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of x+y,xy,y/x,y-x

Answer:

C

Step-by-step explanation:

The volume is (6*12*5 1/4). Since 6*12 is 72, this is equal to 72*(5 1/4).

Answer:

c=2,25

Step-by-step explanation:

c4=5+4

c4=9

c=9:4

c=2,25

Answer:

c=4

Step-by-step explanation:

4c-5=4

/4         /4

c-5=1

+5    +5

c=6

Answer:

(x + 2)² + (y - 4)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

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

Here (h, k ) = (- 2, 4 ) and r = 4 , then

(x - (- 2))² + (y - 4)² = 4² , that is

(x + 2)² + (y - 4)² = 16

When estimating a population mean (μ) with a known population standard deviation (σ), the proper distribution to use is the standard normal distribution. So, correct option is A.

This is because the sampling distribution of the sample mean follows a normal distribution when the population standard deviation is known. The central limit theorem guarantees that the sample mean will be normally distributed with mean μ and standard deviation σ/√n, where n is the sample size.

The formula for constructing a confidence interval for μ when σ is known is:

CI = x' ± zα/2 * (σ/√n)

where x' is the sample mean, zα/2 is the z-score corresponding to the desired confidence level (α), σ is the population standard deviation, and n is the sample size.

Since the standard normal distribution has a mean of 0 and a standard deviation of 1, we can use z-scores to find the appropriate values for zα/2. This is why the standard normal distribution is used for interval estimation when σ is known.

In summary, the standard normal distribution is used for interval estimation of μ when σ is known because the sampling distribution of the sample mean is normally distributed when the population standard deviation is known.

So, correct option is A.

To learn more about interval estimation click on,

https://brainly.com/question/29109927

#SPJ1

Answer:

x = -4

y = 29

Step-by-step explanation:

Let's take our two equations and turn the decimals into fractions for simplicity's sake. We get:

x/4 + 5y/100 = 9    x + y = 25

Simplifying a bit gives us:

x/4 + y/20 = 9       x + y = 25

Now, we will take the first equation and multiply it by 20 to get rid of the fractions. We get:

5x + y = 9

We will rearrange numbers to give us an answer to y that we can substitute in. we get:

y = 9 - 5x

Then, we will plug this into our second equation giving us:

x + 9 - 5x = 25

Combining like terms and subtracting 9 from both sides gives us:

-4x = 16

Dividing by -4 gives us:

x = -4

Then, we can substitute this into our second equation giving us:

-4 + y = 25

We will add 4 to both sides giving us:

y = 29

Hope this helped!

a) Using the slope-intercept equation, after 4 years of working at the new company, Nachelle's salary will be $73,000 per annum.

b) After t years of working at the new company, Nachelle's salary will be $57,000 + $4,000(t).

The slope-intercept equation is in the form of y = mx + b.

The slope intercept describes the equation of a straight line, where m is the slope of the line, y and x are the y and x coordinates, and b is its y-intercept.

Initial starting salary per year = $57,000

Annual raise in salary = $4,000

Period = 4 years

Salary after 4 years = $73,000 [$57,000 + $4,000(4)]

Salary after t years = $57,000 + $4,000(t)

Learn more about the slope-intercept equation at https://brainly.com/question/28888422

#SPJ1

The correct statement based on the data is,

⇒ The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

Option 2 is true.

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The given table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered.

       Mangos Used    Smoothie Size

Kim         1                         8 oz

Bri           3                        24 oz

Angela    4                        32 oz

Now, By definition of ratio, we get;

The ratio of smoothie size to mangos used for Bri is,

⇒ 24 : 3

⇒ 8 : 1

And, The ratio of smoothie size to mangos used for Angela is,

⇒ 32 : 4

⇒ 8 : 1

Thus, The ratio of smoothie size to mangos used for Bri is the same as the ratio of smoothie size to mangos used for Angela.

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ1

Answer:

7.5

Step-by-step explanation:

Answer:

This cannot be solved but it can be simplified

first we open the bracket

so we have

a²- abx/x = 2/3

next we cross multiply so it will be 3(a² - abx) = 2x

we get

3a² - 3abx = 2x

Next we factorise so we can get

3a(a-bx) =2x

I dont know what exactly you where asked but I hop this helps

The height of the flag is 18 feets.

Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A closed, four-sided rectangle is a two-dimensional shape. A rectangle's opposite sides are equal and parallel to one another, and all of its angles are exactly 90 degrees.

Length is equal to 2 (2 + 3) the sum of the side lengths.

The sum of side length divided by (12) equals (2/5)

12 = 0.4(sum of side length) (sum of side length)

divide both sides by 0.4.

The height of the flag is calculated as side lengths plus length.

Height of flag: (30 – 12) = 18 feet

Therefore, the height of the flag is 18 feets.

Learn more about quadrilaterals visit:

https://brainly.com/question/29934440

#SPJ4

Therefore, the multiple of the given equations is 10x^2yz + 6xyz^2, 5x^3y^2 + 14x^3y^3, and -10x^5 + 15x^4 - 30x^3 + 40x^2.

The process of multiplying two or more polynomials together is known as polynomial multiplication. Applying the distributive property to the multiplication of polynomials allows us to conduct polynomial multiplication.

Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number. For instance, if we multiply 2 by 3, then implies that 3 gets multiplied by itself twice, meaning 3 + 3 = 6. Children can multiply numbers easily with the help of this method.

1. (5xy+3yz) * 2xz = 10x^2yz + 6xyz^2

2. (6/7x2y) * (35/6xy + 14/3 xy2) = 5x^3y^2 + 14x^3y^3

3. (2x3-3x2+6x-8) * (-5x2) = -10x^5 + 15x^4 - 30x^3 + 40x^2

To know more about equations visit:

https://brainly.com/question/29657983

#SPJ4

Answer:

-1764

Step-by-step explanation:

use BODMAS rule

⇒7{-7+8[5-3(4+6)]-9(9-4)}

solve round brackets

⇒7{-7+8[5-3(10)]-9()}

multiply 3 by 10 within the square bracket

⇒7{-7+8[5-30]-9(5)}

solve square bracket

⇒7{-7+8[-25]-9(5)}

move to curly brackets and multiply first

⇒{-7-200-45}

subtract

⇒7{-252}

multiply

⇒-1764 Answer

hope that helps...

Answer:

They should sell the computer for $287.50

Step-by-step explanation:

Let's solve the 25% increase first

100% = $200

100% + 25% = 125% = 1.25

200 x 1.25 = $250

Then we find the 15% increase

100% = $250

100% + 15% = 115% = 1.15

250 x 1.15 = $287.50

So, they should sell the computer for $287.50

Answer:

x + y = 180

y + 6 = x

Answer: 225 ft

Step-by-step explanation:

The length of each piece of the sandwich is 0.3125 feet.

A unitary approach is a mathematical technique for finding the value of a single unit and then multiplying it by any number of other units to derive the value of the given units.

Given, Zachary's art club ordered a giant sub sandwich for a party.

Therefore, t6o obtain the length of each piece we have divide the total length of the sandwich by the total number of pieces which is,

= (5/16) feet.

= 0.3125.

So, The length of each piece is 0.3125 feet.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Answer:

Ok ill find the slope for this graphhhhh

Step-by-step explanation:

-3/4

Answer:

3014.4

Step-by-step explanation:

Answer:

625

Step-by-step explanation:

1.25.625

125 = 5³

625 = 5⁴

prime factor 5 , number 125 is 3 number 625 is 4 LCM is 4

LCM = 5⁴

so the LCM is 625

this is a question of set of equations and solution is as follows,

Williamston Daily newspaper started printing newspaper.

Three years ago they had 5900 subscribers.

every month there is an increase of 66 new subscribers.

n is the number of months the paper has been printed.

so, the linear model will be  

B= early subscriber + number of month × increments

B= 5900 + n × 66

B= 66 n + 5900

Example - subscribers after 3 months,

n = 3

= 66 x 3 +5900

= 198 + 5900

= 6000

set of equations

A system of equations is a set or collection of equations that you deal with all together at once. Linear equations are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.

Linear equations

Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.

learn more about equations here: -

https://brainly.com/question/10413253

#SPJ4

Answer:

b

Step-by-step explanation:

The range of the function g(x) = 3|x-1| - 1 by evaluation is; [-1,00].

From the taks content, the function given is;

Hence, it follows that the lowest possible value of y is -1 by means of the absolute value sign in the equation.

The range is therefore; [-1, 00].

Read more on the range of a function;

https://brainly.com/question/6615538

#SPJ5

The two lines are neither parallel nor perpendicular to each other.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the two equations of the lines are y= -1/3x+2 and 5y+15x=-40.

y= -1/3x+2

5y+15x=-40.

5y = -15x - 40

y =-3x - 40/3

Here the slopes of the lines are,

m₁= -1 / 3

m₂ = -3

For the lines to be parallel the slopes should be equal and for the lines to be perpendicular the slopes should be inverse and reciprocal.

Here the slopes are neither equal nor have the inverse reciprocal.

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ1

Answer:

where the image??

Step-by-step explanation:

Answer:

the formula is

Step-by-step explanation:

a + b + c = P  ( P= perimeter )

Answer:

94 inches

Step-by-step explanation:

first calculate the surface area of the side of the container by multiplying 20.5 by 12, then take that number and divied 23124 by it to see how many inches of sides you need to make 23124

another way to explain it, multiply 20.5 by 12 to get the surface area of a plane, then divide 23124 by the surface area fo the plane to get how many inches of planes you have to have in order to have 23124 inches of total space

if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest

The fifth term of the given arithmetic sequence is 36.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d

Given that, in a sequence the first term of 4 and the common difference is 8.

Here, a=4 and d=8

Now, the fifth term is

a₅=4+(5-1)×8

= 4+32

= 36

Therefore, the fifth term of the given arithmetic sequence is 36.

To learn more about an arithmetic sequence visit:

https://brainly.com/question/10396151.

#SPJ1

Answer:

business plan proposal

Answer:

we have to make the denominator of both the fraction same so that we can compare.

We have to multiplybboth nominator and denominator by 6.then,

7×6/4×6=28/16

Now, comparing 28/6 and 28/6 we get to know that both the fraction are proportional.i.e.28/16=7/4

*mark me brainliest

Answer:

see image

Step-by-step explanation:

Right at the point (1,2) there's a nice point. Going up and right along the line there's another nice point at (5,5)

To get from one point to the next, you can draw a stair-step line that goes up3 and over4. The slope is up3/over4.

m = 3/4

The slope is 3/4. See image.