ABCD is a quadrilateral
Work out the length of BC
Give your answer correct to 1 decimal place.

The sample size is 1727 points for given data . Sample size is defined as the number of observations used to determine estimates for a given population. Sample size was drawn from the population .

In this question we want to find the sample size and so let's, look at the formula that is given by, the value at over 2, divided by a margin of error, whole squared times p into 1 minus p.

N= ( Z ₐ / E)² p (1-p)

In this case , Z --> Z-Score

E --> error value

P --> estimated proportion or if given standard deviations

Given that, estimate error is 2% that is margin (E) = 2% = 2/100 =0.02

Now, what we have is our confidence level and our made error, so our estimate has been given us 2 percent or confidence level is 99 percent. Now, let's get our Z values, so we use alpha(a) to find out. For alpha value 1 minus 0.99 , we get 0.01. now we are going to be 0.01 divide by 2 and get 0.005 . So, the corresponding value of Z ₀.₀₀₅ is 2.576 . The only value of p is 11.8% (year 2000 estimate ) of what is required for getting an answer

= 118/1000= 0.118

Finally, we put all these values into formula of sample size , i.e.,

N= ( 2.576 / 0.02)² (0.118 )(1- 0.118) = 1726.56 1727

Our sample size is , 1727 point.

To learn more about Sample Size , refer:

https://brainly.com/question/15901889

#SPJ4

The monomial -0.01a^4*(-10a^5)^3 as a single expression is 10a^19

The expression is given as

-0.01a^4*(-10a^5)^3

Evaluate the expression in the bracket

So, we have the following equation

-0.01a^4*(-10a^5)^3 = -0.01a^4 * (-1000a^15)

Next, we remove the bracket

So, we have the following equation

-0.01a^4*(-10a^5)^3 = 0.01a^4 * 1000a^15

Evaluate the products in the above equation

So, we have

-0.01a^4*(-10a^5)^3 = 10a^19

Hence, the equivalent expression is 10a^19

Read more about monomial at

https://brainly.com/question/16467909

#SPJ1

Answer:

Below in bold.

Step-by-step explanation:

P(x) = -0.3x² + 75x - 2000

Convert this to vertex form:

p(x) = -0.3(x^2 - 250)^2 - 2000

      = -0.3[(x - 125)^2 - 125^2] - 2000

      = -0.3[(x - 125)^2 - 15625] - 2000

      = -0.3(x - 125)^2 + 4687.5 - 2000

      = -0.3(x - 125)^2 + 2687.5

2687.5 is the maximum value of the profit.

1.  This corresponds to a selling price of $125 for the stands.

2.  Maximum profit is $2687.5.

3.  At the breaking points P(x) = 0:

-0.3(x - 125)^2 + 2687.5 = 0

(x - 125)^2 = 2687.5 / -0.3 = 8958.33

x - 125 = +/- sqrt( 8958.33)

x = 125 +/- sqrt( 8958.33)

x = 30.352, 219.648,

So, the breaking even points are $30.35 and $219.65 to nearest cent.

68 = Diane's score x 4

Equation

68= 4d

___________________

Can you see the updates?

_________________

Diane's score

4d= 68

d= 17

Answer: 11 units^2

Step-by-step explanation: count the blocks

La ganancia aproximada del estadio por concepto de la venta de boletos para un partido de fútbol es $ 502,968.

En esta pregunta se nos solicita determinar la ganancia aproximada por la venta de boletos para un partido de fútbol en un estadio. La ganancia aproximada es igual al producto del aforo del estadio y el costo de cada boleto. Entonces,

c = ($ 19) · (26,472)

c = $ 502,968

La ganancia aproximada por el partido de fútbol es $ 502,968.

Para aprender más sobre ventas y ganancias: https://brainly.com/question/19711487

#SPJ1

Part a

The domain is the set of x-values, which is [tex](-\infty, \infty)[/tex].

Part b

The range is the set of y-values, which is [tex](-\infty, \infty)[/tex].

Part c

As [tex]x \to \infty[/tex], [tex]y \to \infty[/tex], and as [tex]x \to -\infty[/tex], [tex]y \to -\infty[/tex].

Part d

The y-intercept is when x=0, which is [tex](0, 1)[/tex].

Part e

The function is increasing when y increases as x increases, which is true for this function.

An inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint is (c + t) ≤ 19

In this question, we have been given the online furniture store can ship not more than 19 pieces of chairs and tables each day.

If the possible number of chairs they can ship each day is represented by c and the possible number of tables they can ship each day is represented by t, then the inequality equation can be written as

(c + t) ≤ 19

Therefore, an inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint is (c + t) ≤ 19

Learn more about an inequality here:

https://brainly.com/question/19003099

#SPJ1

Answer: Cost per rides

Step-by-step explanation:

1st question (the image):

y= -5/4x + 3/2

how to solve:

y=mx+b

b: where the line meets the y axis

3/2 is 1.5 which matches up perfectly with the graph

m: the direction of the slope

If you look where the line matches with a point and you go down -5 and go right 4 it matches up and thats why m = -5/4

2nd question (the text):

C) y = 3/4 x + 1/4

how to solve

draw a graph (up above)

y:mx+b

to find m: rise/run

find the first point (1,1) you have to go 3 points up and 4 points right to get to the next point

(5,4) and thats why m=3/4

b: where the link hits the y axis compare the answers and the graph and find the most resonable one... which is 1/4

The value of an expression using combinations  ¹⁰C₄ ⁴C₂ is 1260.

The formula for finding the combination of any given expression is given:

So,

Then,

Therefore, the value of an expression using combinations  ¹⁰C₄ ⁴C₂ is 1260.

To know more about combination please visit:

brainly.com/question/8018593

#SPJ10

Answer:

12 months

Explanation:

Given the function that models the total chacrge of a company as T = 35.00 + 18.75m where;

T is the total charges,

m is the number of months of storage

Given

T = $260.00

we are to find the value of m

Substitute

260 = 35 + 18.75m

18.75m = 260 - 35

18.75m = 225

m = 225/18.75

m = 12

Hence it will take 12 months to cost a new custimer $260.00

The percent equation is = 2600/ 4000 × 100/1

The percentage of books that are fiction is 65%

Percentage can be described as the ratio, quotient or number that is being expressed as a fraction of 100.

It is also described as the given part or amount in every hundred.

It is expressed as a fraction with 100 as the denominator of the fraction

It is represented with the symbol "%".

Given the information ;

Total number = 4000 books

Fiction books = 2600

The percentage is represented as;

= 2600/ 4000 × 100/1

Find the ratio

= 0. 65 × 100/1

Multiply through

= 65%

Hence,  the value is 65%

Learn more about percentage here:

https://brainly.com/question/24304697

#SPJ1

Given the graph of the parabola

AS shown in the figure

The coordinate of the vertex is the point (2.5, 2.25)

so, the answer will be:

the vertex of the function shown below is located at (2.5, 2.25)

Answer:

simplest form.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve each  inequality:

or

The answer is: m < 7 or m ≥ 8

Answer:

From the question,

The formula for the growth rate will be calculated using the formula below

In,

Given that

Hence,

P1 = 12.6

Also, we will have P2 to be

Hence,

P2 = 17.6

Therefore,

The formula for Pn will be represented below as

The explicit formula for Pn will be

To figure out the values of P9. we will substitute the value of n=9 in the equation below

Hence,

P9 = 185.9

The Mean distance is 4,145,760,000  miles

The correct option is (a)

Given,

The mean distance from Venus to the sun is 67,240,000 miles.

The mean distance from Mars to the sun is 4,213,000,000 miles.

Now, According to the question

Subtract the distance of Mars to the sun from Venus to the sun :

Let's Calculate the mean distance:

= 4,213,000,000 - 67,240,000

= 4,145,760,000 miles

Hence, The Mean distance is 4,145,760,000 miles.

The correct option is (a)

Learn more about Mean Distance at:

https://brainly.com/question/16431465

#SPJ1

The distance covered in the next 9 seconds is 405 meters

The variation statement is given as

d is directly proportional to the square of t

This means that

d = kt²

Where k represents the constant of variation

Using the parameters in the question, we have

When d = 125, t = 5

Substitute d = 125, t = 5 in d = kt²

This gives

125 = k x 5²

Evaluate

k = 5

So, we have

d = 5t²

After 9 seconds, we have

t = 9

Substitute t = 9 in d = 5t²

Here, we have

d = 5 x 9²

This gives

d = 405

Hence, the distance is 405 meters

Read more about variation at

brainly.com/question/14978895

#SPJ1

Answer:

Below in bold.

Step-by-step explanation:

s(t) = -16t² - 12t + 300

v(t) = ds/ dt = -32t - 12

At time t:

velocity = -32(4) - 12 = -140 ft/s.

Answer: 734.7

Step-by-step explanation:

We get rid of 90 and 70 since they are the highest and lowest scores.

80+75+80+85+75 = 395

395 * 3.1 = 1224.5

1224.5*0.6 = 734.7

Answer:

f( -6) = 4

Step-by-step explanation:

f(x) = -x -2  You will replace x with -6

f(-6) - -(-6) -2

f(-6) = 6 - 2

f(-6) = 4

Answer:

Step-by-step explanation:

Slopes of parallel lines are the same. ( [tex]m_{1}[/tex] = [tex]m_{2}[/tex] )

Slopes of two perpendicular lines are opposite reciprocals. ( [tex]m_{1}[/tex] × [tex]m_{2}[/tex] = - 1 )

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~

(9, 9)

(6, 1)

[tex]m_{m}[/tex] = [tex]\frac{1-9}{6-9}[/tex] = [tex]\frac{8}{3}[/tex]

(10, 7)

(1, 15)

[tex]m_{n}[/tex] = [tex]\frac{15-7}{1-10}[/tex] = - [tex]\frac{8}{9}[/tex]

Lines m and n neither parallel, nor perpendicular.

Answer:

I agree with your answer.

Step-by-step explanation:

Given:

given expression is

Find:

The main objective is to evaluate the expression.

Explanation:

we will use BoDMAS formula for evaluating the expression.

Conclusion:

Therefore, correct option is C.16

Answer:

This is how I would approach it

Step-by-step explanation:

The length and the width of the rectangle are 14 and 15 meters, respectively

From the question, the statement is given as

Length and width are consecutive integers

Where

Area = 210 square feet

Represent the dimensions with x and y

Where Length = x and Width = y

And also, we have

y = x + 1

The area of a rectangle is

Area = Length x width

Mathematically, this can be represented as

Area = x * y

So, we have

x * y = 210

Substitute y = x + 1 in x * y = 210

x * (x + 1) = 210

Express 210 as 14 * 15

x * (x + 1) = 14 * 15

This means that

x = 14

Substitute x = 14 in y = x + 1

y = 14 + 1

Evaluate

y = 15

So, we have

x = 14 and y = 15

Hence, the length and the width are 14 and 15 meters

Read more about consecutive integers at

brainly.com/question/12050093

#SPJ1

Answer:

The 40 lb bag is cheaper by $4

Step-by-step explanation:

10 x 4 = 40

7 x 4 = 28

If you bought the 10 lb bag 4 times, you'd spend more money than just buying the 40 lb bag once.

Please mark brainliest!!

Anjelah finished at 1:02 P.M. if she started at 10:15 A.M. and she took 2 hours and 47 minutes to complete it.

According to the question,

We have the following information:

Anjelah finished in 2 hours and 47 minutes.

She started at 10:15 A.M.

Now, we know that there are 60 minutes in an hour (more to know: there are 60 seconds in a minute).

So, we will add 2 hours to 10:15 A.M.:

10:15 + 2:00

12:15 P.M.

(Note that the digits before the colon gives us time in hours and the digits after the colon gives us minutes.)

Now, we will add 47 minutes to it:

12:15 + 0:47

(Now, we know that only 45 minutes can be added to 15 minutes because then it will make an hour. So, 2 more minutes will be added to the next hour.)

So, we have the following expression:

1:02 P.M.

Hence, the time when Anjelah will finish is 1:02 P.M.

To know more about Anjelah finished here

https://brainly.com/question/12972809

#SPJ1